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Berlin
Berlin (
/bɜrˈlɪn/; German pronunciation: [bɛɐ̯ˈliːn] (
listen)) is the capital city of Germany and one of the 16 states of Germany. With a population of 3.5 million people, Berlin is Germany's largest city and is the second most populous city proper and the eighth most populous urban area in the European Union. Located in northeastern Germany, it is the center of the Berlin-Brandenburg Metropolitan Region, which has 5.9 million residents from over 190 nations. Located in the European Plains, Berlin is influenced by a temperate seasonal climate. Around one third of the city's area is composed of forests, parks, gardens, rivers and lakes.
First documented in the 13th century, Berlin was the capital of the Kingdom of Prussia (1701–1918), the German Empire (1871–1918), the Weimar Republic (1919–1933) and the Third Reich (1933–1945).Berlin in the 1920s was the third largest municipality in the world. After World War II, the city became divided into East Berlin—the capital of East Germany—and West Berlin, a West German exclave surrounded by the Berlin Wall (1961–1989). Following German reunification in 1990, the city regained its status as the capital of Germany, hosting 147 foreign embassies.
wn.com/Berlin -
Bodleian Library
The Bodleian Library ( /ˈbɒdliən/ or /bɒdˈliːən/), the main research library of the University of Oxford, is one of the oldest libraries in Europe, and in Britain is second in size only to the British Library. Known to Oxford scholars as "Bodley" or simply "the Bod", under the Legal Deposit Libraries Act 2003 it is one of six legal deposit libraries for works published in the United Kingdom and under Irish Law it is entitled to request a copy of each book published in the Republic of Ireland. Though University members may borrow some books from dependent libraries (such as the Radcliffe Science Library), the Bodleian operates principally as a reference library and in general documents may not be removed from the reading rooms.
The Library occupies a group of five buildings near Broad Street: these range in date from the late medieval Duke Humfrey's Library to the New Bodleian of the 1930s. Since the 19th century a number of underground stores have been built below parts of these.
Today, the Bodleian also includes several off-site storage areas as well as many other libraries in central Oxford:
wn.com/Bodleian_Library -
British Library
The British Library is the national library of the United Kingdom, and is the world's largest library in terms of total number of items. The library is a major research library, holding over 150 million items from many countries, in many languages and in many formats, both print and digital: books, manuscripts, journals, newspapers, magazines, sound and music recordings, videos, play-scripts, patents, databases, maps, stamps, prints, drawings. The Library's collections include around 14 million books (second only to the United States' Library of Congress), along with substantial holdings of manuscripts and historical items dating back as far as 2000 BC.
As a legal deposit library, the British Library receives copies of all books produced in the United Kingdom and the Republic of Ireland, including a significant proportion of overseas titles distributed in the UK. It also has a programme for content acquisitions. The British Library adds some three million items every year occupying 9.6 kilometres (6.0 mi) of new shelf space.
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British Parliament
The Parliament of the United Kingdom of Great Britain and Northern Ireland is the supreme legislative body in the United Kingdom, British Crown dependencies and British overseas territories. It is located in Westminster, London. Parliament alone possesses legislative supremacy and thereby ultimate power over all other political bodies in the UK and its territories. At its head is the Sovereign, Queen Elizabeth II.
The parliament is bicameral, with an upper house, the House of Lords, and a lower house, the House of Commons. The Queen is the third component of the legislature. The House of Lords includes two different types of members: the Lords Spiritual (the senior bishops of the Church of England) and the Lords Temporal (members of the Peerage) whose members are not elected by the population at large, but are appointed by the Sovereign on advice of the Prime Minister. Prior to the opening of the Supreme Court in October 2009 the House of Lords also performed a judicial role through the Law Lords.
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China
China (
i/ˈtʃaɪnə/; Chinese: 中国; pinyin: Zhōngguó; see also Names of China), officially the People's Republic of China (PRC), is the world's most-populous country, with a population of over 1.3 billion. Covering approximately 9.6 million square kilometres, the East Asian state is the world's second-largest country by land area, and the third- or fourth-largest in total area, depending on the definition of total area.
The People's Republic of China is a single-party state governed by the Communist Party of China. It exercises jurisdiction over 22 provinces, five autonomous regions, four directly controlled municipalities (Beijing, Tianjin, Shanghai, and Chongqing), and two mostly self-governing special administrative regions (Hong Kong and Macau). Its capital city is Beijing. The PRC also claims Taiwan—which is controlled by the Republic of China (ROC), a separate political entity—as its 23rd province, a claim controversial due to the complex political status of Taiwan and the unresolved Chinese Civil War. The PRC government denies the legitimacy of the ROC.
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Dutch East Indies
The Dutch East Indies (Dutch: Nederlands-Indië; Indonesian: Hindia-Belanda) was a Dutch colony that became modern Indonesia following World War II. It was formed from the nationalised colonies of the Dutch East India Company, which came under the administration of the Dutch government in 1800.
During the 19th century, Dutch possessions and hegemony were expanded, reaching their greatest territorial extent in the early 20th century. This colony which later formed modern-day Indonesia was one of the most valuable European colonies under Dutch Empire's rule, and contributed to Dutch global prominence in spice and cash crop trade in 19th to early 20th century. The colonial social order was based on rigid racial and social structures with a Dutch elite living separate but linked to their native subjects.
Japan's World War II occupation dismantled much of the Dutch colonial state and economy. Following the Japanese surrender in August 1945, Indonesian nationalists declared independence which they fought to secure during the subsequent Indonesian National Revolution. The Netherlands formally recognized Indonesian sovereignty at the 1949 Dutch–Indonesian Round Table Conference with the exception of the Netherlands New Guinea (Western New Guinea), which was ceded to Indonesia in 1963 under the provisions of the New York Agreement.
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Egypt
Egypti/ˈiːdʒɪpt/ (Arabic: مصر, Miṣr, Egyptian Arabic: [mɑsˤɾ] ; Coptic: Ⲭⲏⲙⲓ, Kīmi ; Sahidic Coptic: ⲕⲏⲙⲉ, Kēme), officially the Arab Republic of Egypt, Arabic: جمهوريّة مصر العربيّة (help·info), is a country mainly in North Africa, with the Sinai Peninsula forming a land bridge in Southwest Asia. Egypt is thus a transcontinental country, and a major power in Africa, the Mediterranean Basin, the Middle East and the Muslim world. Covering an area of about 1,010,000 square kilometers (390,000 sq mi), Egypt is bordered by the Mediterranean Sea to the north, the Gaza Strip and Israel to the northeast, the Red Sea to the east, Sudan to the south and Libya to the west.
Egypt is one of the most populous countries in Africa and the Middle East. The great majority of its over 81 million people live near the banks of the Nile River, in an area of about 40,000 square kilometers (15,000 sq mi), where the only arable land is found. The large areas of the Sahara Desert are sparsely inhabited. About half of Egypt's residents live in urban areas, with most spread across the densely populated centres of greater Cairo, Alexandria and other major cities in the Nile Delta.
wn.com/Egypt -
Germany
Germany (i/ˈdʒɜrməni/), officially the Federal Republic of Germany (German: Bundesrepublik Deutschland, pronounced [ˈbʊndəsʁepuˌbliːk ˈdɔʏtʃlant] ( listen)), is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate. With 81.8 million inhabitants, it is the most populous member state and the largest economy in the European Union. It is one of the major political powers of the European continent and a technological leader in many fields.
A region named Germania, inhabited by several Germanic peoples, was documented before AD 100. During the Migration Period, the Germanic tribes expanded southward, and established successor kingdoms throughout much of Europe. Beginning in the 10th century, German territories formed a central part of the Holy Roman Empire. During the 16th century, northern German regions became the centre of the Protestant Reformation while southern and western parts remained dominated by Roman Catholic denominations, with the two factions clashing in the Thirty Years' War, marking the beginning of the Catholic–Protestant divide that has characterized German society ever since. Occupied during the Napoleonic Wars, the rise of Pan-Germanism inside the German Confederation resulted in the unification of most of the German states into the German Empire in 1871 which was Prussian dominated. After the German Revolution of 1918–1919 and the subsequent military surrender in World War I, the Empire was replaced by the Weimar Republic in 1918, and partitioned in the Treaty of Versailles. Amidst the Great Depression, the Third Reich was proclaimed in 1933. The latter period was marked by Fascism and World War II. After 1945, Germany was divided by allied occupation, and evolved into two states, East Germany and West Germany. In 1990 Germany was reunified.
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Harz Mountains
The Harz is the highest mountain range in northern Germany and its rugged terrain extends across parts of Lower Saxony, Saxony-Anhalt and Thuringia. The name Harz derives from the Middle High German word Hardt or Hart (mountain forest), Latinized as Hercynia. The legendary Brocken is the highest summit in the Harz with a height of 1,141.1 metres (3,744 ft) above sea level. The Wurmberg (971 metres (3,186 ft)) is the highest peak located entirely within Lower Saxony.
The Harz has a length of 110 kilometres (68 mi), stretching from the town of Seesen in the northwest to Eisleben in the east, and a width of 35 kilometres (22 mi). It occupies an area of 2,226 square kilometres (859 sq mi), and is divided into the Upper Harz (Oberharz) in the northwest, which is up to 800 m high, apart from the 1,100 m high Brocken massif, and the Lower Harz (Unterharz) in the east which is up to around 400 m high and whose plateaus are capable of supporting arable farming.
The following districts (Kreise) fall wholly or partly within the Harz: Goslar and Osterode am Harz in the west, Harz and Mansfeld-Südharz in the north and east, and Nordhausen in the south.The districts of the Upper Harz are Goslar and Osterode (both in Lower Saxony), whilst the Lower Harz is on the territory of Harz and Mansfeld-Südharz districts (both in Saxony-Anhalt). The Upper Harz is generally higher and features fir forests, whilst the Lower Harz gradually descends into the surrounding area and has deciduous forests interspersed with meadows.
wn.com/Harz_Mountains -
Harz mountains
The Harz is the highest mountain range in northern Germany and its rugged terrain extends across parts of Lower Saxony, Saxony-Anhalt and Thuringia. The name Harz derives from the Middle High German word Hardt or Hart (mountain forest), Latinized as Hercynia. The legendary Brocken is the highest summit in the Harz with a height of 1,141.1 metres (3,744 ft) above sea level. The Wurmberg (971 metres (3,186 ft)) is the highest peak located entirely within Lower Saxony.
The Harz has a length of 110 kilometres (68 mi), stretching from the town of Seesen in the northwest to Eisleben in the east, and a width of 35 kilometres (22 mi). It occupies an area of 2,226 square kilometres (859 sq mi), and is divided into the Upper Harz (Oberharz) in the northwest, which is up to 800 m high, apart from the 1,100 m high Brocken massif, and the Lower Harz (Unterharz) in the east which is up to around 400 m high and whose plateaus are capable of supporting arable farming.
The following districts (Kreise) fall wholly or partly within the Harz: Goslar and Osterode am Harz in the west, Harz and Mansfeld-Südharz in the north and east, and Nordhausen in the south.The districts of the Upper Harz are Goslar and Osterode (both in Lower Saxony), whilst the Lower Harz is on the territory of Harz and Mansfeld-Südharz districts (both in Saxony-Anhalt). The Upper Harz is generally higher and features fir forests, whilst the Lower Harz gradually descends into the surrounding area and has deciduous forests interspersed with meadows.
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Library of Congress
The Library of Congress is the research library of the United States Congress, de facto national library of the United States of America, and the oldest federal cultural institution in the United States. Located in four buildings in Washington, D.C., as well as the Packard Campus in Culpeper, Virginia, it is the largest library in the world by shelf space and number of books. The head of the Library is the Librarian of Congress, currently James H. Billington.
The Library of Congress was instituted for Congress in 1800, and was housed in the United States Capitol for most of the 19th century. After much of the original collection had been destroyed during the War of 1812, Thomas Jefferson sold 6,487 books, his entire personal collection, to the library in 1815. After a period of decline during the mid-19th century the Library of Congress began to grow rapidly in both size and importance after the American Civil War, culminating in the construction of a separate library building and the transference of all copyright deposit holdings to the Library. During the rapid expansion of the 20th century the Library of Congress assumed a preeminent public role, becoming a "library of last resort" and expanding its mission for the benefit of scholars and the American people.
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London
Londoni/ˈlʌndən/ is the capital city of England and the United Kingdom, the largest metropolitan area in the United Kingdom, and the largest urban zone in the European Union by most measures. Located on the River Thames, London has been a major settlement for two millennia, its history going back to its founding by the Romans, who named it Londinium. London's ancient core, the City of London, largely retains its square-mile mediaeval boundaries. Since at least the 19th century, the name London has also referred to the metropolis developed around this core. The bulk of this conurbation forms the London region and the Greater London administrative area, governed by the elected Mayor of London and the London Assembly.
London is a leading global city, with strengths in the arts, commerce, education, entertainment, fashion, finance, healthcare, media, professional services, research and development, tourism and transport all contributing to its prominence. It is the world's leading financial centre alongside New York City and has the fifth-largest city GDP in the world (and the largest in Europe). London has been described as a world cultural capital. It was the world's most visited city during 2011 and London Heathrow is the world's busiest airport by number of international passengers. London's 43 universities form the largest concentration of higher education in Europe. In 2012 London will become the first city to host the modern Summer Olympic Games three times.
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Lower Saxony
Lower Saxony (German: Niedersachsen [ˈniːdɐzaksən], Low German: Neddersassen) is a German state situated in northwestern Germany and is second in area and fourth in population among the sixteen states of Germany. In rural areas Northern Low Saxon, a dialect of Low German, is still spoken, but the number of speakers is declining.
Lower Saxony borders on (from north and clockwise) the North Sea, the states of Schleswig-Holstein, Hamburg, Mecklenburg-Vorpommern, Brandenburg, Saxony-Anhalt, Thuringia, Hesse and North Rhine-Westphalia, and the Kingdom of the Netherlands. In fact, Lower Saxony borders more neighbours than any other single federal state. The state of Bremen forms two enclaves within Lower Saxony, one being the city of Bremen, the other, its seaport city of Bremerhaven. The state's principal cities include Hanover, Brunswick, Lüneburg, Osnabrück, Oldenburg, and Göttingen.
The northwestern area of Lower Saxony, which lies on the coast of the North Sea, is called East Frisia and the seven East Frisian Islands offshore are popular with tourists. In the extreme west of Lower Saxony is the Emsland, a traditionally poor and sparsely populated area, once dominated by inaccessible swamps. The northern half of Lower Saxony, also known as the North German Plains, is almost invariably flat except for the gentle hills around the Bremen geestland. Towards the south and southwest lie the northern parts of the German Central Uplands: the Weser Uplands and the Harz mountains. Between these two lie the Lower Saxon Hills, a range of low ridges.
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Netherlands
The Netherlands (
i/ˈnɛðərləndz/; Dutch: Nederland [ˈneːdə(r)lɑnt] or [ˈneɪ̯də(r)lɑnt] (
listen); West Frisian: Nederlân; Papiamento: Hulanda) is a constituent country of the Kingdom of the Netherlands, located mainly in North-West Europe and with some islands in the Caribbean. Mainland Netherlands borders the North Sea to the north and west, Belgium to the south, and Germany to the east, and shares maritime borders with Belgium, Germany and the United Kingdom. It is a parliamentary democracy organised as a unitary state. The country capital is Amsterdam and the seat of government is The Hague. The Netherlands in its entirety is often referred to as Holland, although North and South Holland are actually only two of its twelve provinces (a case of pars pro toto; see terminology of "the Netherlands").
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Oxford University
Coordinates: 51°45′40″N 1°15′12″W / 51.7611°N 1.2534°W / 51.7611; -1.2534
The University of Oxford (informally Oxford University or Oxford) is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096. The University grew rapidly from 1167 when Henry II banned English students from attending the University of Paris. In post-nominals, the University of Oxford was historically abbreviated as Oxon. (from the Latin Oxoniensis), although Oxf is now used in official university publications.
After disputes between students and Oxford townsfolk in 1209, some academics fled north-east to Cambridge, where they established what became the University of Cambridge. The two ancient English universities have many common features and are often jointly referred to as Oxbridge. In addition to their cultural and practical associations, as a historic part of British society, they have a long history of rivalry with each other.
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Poland
Polandi/ˈpoʊlənd/ (Polish: Polska), officially the Republic of Poland (Polish: Rzeczpospolita Polska; Kashubian: Pòlskô Repùblika; Silesian: Polsko Republika), is a country in Central Europe, bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine, Belarus and Lithuania to the east; and the Baltic Sea and Kaliningrad Oblast, a Russian exclave, to the north. The total area of Poland is 312,679 square kilometres (120,726 sq mi), making it the 69th largest country in the world and the 9th largest in Europe. Poland has a population of over 38 million people, which makes it the 34th most populous country in the world and the sixth most populous member of the European Union, being its most populous post-communist member. Poland is a unitary state made up of 16 voivodeships. Poland is a member of the European Union, NATO, the United Nations, the World Trade Organization, the Organisation for Economic Co-operation and Development (OECD), European Economic Area, International Energy Agency, Council of Europe, Organization for Security and Co-operation in Europe, International Atomic Energy Agency, G6, Council of the Baltic Sea States, Visegrád Group, Weimar Triangle and Schengen Agreement.
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Saxony
The Free State of Saxony (German: Freistaat Sachsen [ˈfʁaɪʃtaːt ˈzaksən]; Upper Sorbian: Swobodny stat Sakska) is a landlocked state of Germany, bordering Brandenburg, Saxony Anhalt, Thuringia, Bavaria, the Czech Republic and Poland. It is the tenth-largest German state in area, with (18,413 square kilometres (7,109 sq mi), and the sixth most-populous (4.3 million) of Germany's sixteen states.
Located in the middle of an erstwhile German-speaking part of Europe, the history of the state of Saxony spans more than a millennium. It has been a medieval duchy, an electorate of the Holy Roman Empire, a kingdom, a republic from 1918 to 1952 and then again from 1990.
The area of the modern state of Saxony should not be confused with Old Saxony, the area inhabited by Saxons. Old Saxony corresponds approximately to the modern German states of Lower Saxony, Saxony-Anhalt and the Westphalian part of North Rhine-Westphalia.
Sachsen is divided into three Direktionsbezirke — Chemnitz, Dresden, Leipzig — which are subdivided into 10 districts:
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The Hague
The Hague (Dutch: Den Haag pronounced [dɛnˈɦaˑχ] ( listen), officially 's-Gravenhage pronounced [ˈsχraˑvə(n)ˌɦaˑɣə] ( listen)) is the capital city of the province of South Holland in the Netherlands. With a population of 500,000 inhabitants (as of 1 September 2011), and more than one million inhabitants including the suburbs, it is the third largest city of the Netherlands, after Amsterdam and Rotterdam. Located in the west of the Netherlands, The Hague is in the centre of the Haaglanden conurbation and lies at the southwest corner of the larger Randstad conurbation.
The Hague is the seat of the Dutch government and parliament, the Supreme Court, and the Council of State, but the city is not the capital of the Netherlands which constitutionally is Amsterdam. Queen Beatrix of the Netherlands lives at Huis ten Bosch and works at Noordeinde Palace in The Hague. Most foreign embassies in the Netherlands and 150 international organisations are located in the city, including the International Court of Justice and the International Criminal Court, which makes The Hague one of the major cities hosting the United Nations, along with New York, Vienna and Geneva.
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Vienna
Vienna ( /viːˈɛnə/; German: Wien (help·info) [viːn]) is the capital and largest city of Austria and one of the nine states of Austria. Vienna is Austria's primary city, with a population of about 1.723 million (2.4 million within the metropolitan area, more than 25% of Austria's population), and is by far the largest city in Austria, as well as its cultural, economic, and political centre. It is the 9th-largest city by population in the European Union. Until the beginning of the 20th century it was the largest German speaking city in the world, and before the first world war and the splitting of the Austro-Hungarian empire the city had 2 million inhabitants. Vienna is host to many major international organizations, including the United Nations and OPEC. The city lies in the east of Austria and is close to the borders of the Czech Republic, Slovakia, and Hungary. These regions work together in a European Centrope border region. Along with nearby Bratislava, Vienna forms a metropolitan region with 3 million inhabitants. In 2001, the city centre was designated a UNESCO World Heritage Site.
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A. J. Ayer
Sir Alfred Jules "Freddie" Ayer /ɛər/ (29 October 1910 – 27 June 1989) was a British philosopher known for his promotion of logical positivism, particularly in his books Language, Truth, and Logic (1936) and The Problem of Knowledge (1956).
Ayer was a Special Operations Executive and MI6 agent during the Second World War. He was the Grote Professor of the Philosophy of Mind and Logic at University College London from 1946 until 1959, when he became Wykeham Professor of Logic at the University of Oxford. He was president of the Aristotelian Society from 1951 to 1952. He was knighted in 1970.
Ayer was born in St John's Wood, London, to a wealthy European family. His mother, Reine Citroën, was from the Dutch-Jewish family who founded the Citroën car company in France. His father, Jules Ayer, was a Swiss Calvinist financier who worked for the Rothschild family.
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Abraham Robinson
Abraham Robinson (born Robinsohn; October 6, 1918 – April 11, 1974) was a mathematician who is most widely known for development of non-standard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were incorporated into mathematics.
He was born to a Jewish family with strong Zionist beliefs, in Waldenburg, Germany, which is now Wałbrzych, in Poland. In 1933, he emigrated to British Mandate of Palestine, where he earned a first degree from the Hebrew University. Robinson was in France when the Nazis invaded during World War II, and escaped by train and on foot, being alternately questioned by French soldiers suspicious of his German passport and asked by them to share his map, which was more detailed than theirs. While in London, he joined the Free French Air Force and contributed to the war effort by teaching himself aerodynamics and becoming an expert on the airfoils used in the wings of fighter planes.
After the war, Robinson worked in London, Toronto, and Jerusalem, but ended up at University of California, Los Angeles in 1962.
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Ada Lovelace
Augusta Ada King, Countess of Lovelace (10 December 1815 - 27 November 1852), born Augusta Ada Byron, was an English mathematician and writer chiefly known for her work on Charles Babbage's early mechanical general-purpose computer, the analytical engine. Her notes on the engine include what is recognised as the first algorithm intended to be processed by a machine; thanks to this, she is sometimes considered the world's first computer programmer.
She was the only legitimate child of the poet Lord Byron (with Anne Isabella Milbanke, 11th Baroness Wentworth). She had no relationship with her father, who died when she was nine. As a young adult, she took an interest in mathematics, and in particular Babbage's work on the analytical engine. Between 1842 and 1843, she translated an article by Italian mathematician Luigi Menabrea on the engine, which she supplemented with a set of notes of her own. These notes contain what is considered the first computer programme — that is, an algorithm encoded for processing by a machine. Though Babbage's engine has never been built, Lovelace's notes are important in the early history of computers. She also foresaw the capability of computers to go beyond mere calculating or number-crunching while others, including Babbage himself, focused only on these capabilities.
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Adam Smith
Adam Smith (baptised 16 June 1723 – 17 July 1790 [OS: 5 June 1723 – 17 July 1790]) was a Scottish social philosopher and a pioneer of political economy. One of the key figures of the Scottish Enlightenment, Smith is the author of The Principles Which Lead and Direct Philosophical Enquiries, Illustrated by the History of Astronomy, prior to 1758, The Theory of Moral Sentiments, 1759, and An Inquiry into the Nature and Causes of the Wealth of Nations, 1776. The latter, usually abbreviated as The Wealth of Nations, is considered his magnum opus and the first modern work of economics. It earned him an enormous reputation and would become one of the most influential works ever published. Smith is widely cited as the father of modern economics and capitalism and is still among the most influential thinkers in the field of economics today. In 2009, Smith was named among the 'Greatest Scots' of all time, in a vote run by Scottish television channel STV.
Smith studied social philosophy at the University of Glasgow and at Balliol College in the University of Oxford, where he was one of the first students to benefit from scholarships set up by his fellow Glaswegian John Snell. After graduating, he delivered a successful series of public lectures at Edinburgh, leading him to collaborate with David Hume during the Scottish Enlightenment. Smith obtained a professorship at Glasgow teaching moral philosophy, and during this time he wrote and published The Theory of Moral Sentiments. In his later life, he took a tutoring position that allowed him to travel throughout Europe, where he met other intellectual leaders of his day. Smith then returned home and spent the next ten years writing The Wealth of Nations, publishing it in 1776. He died in 1790 at the age of 67.
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Adolph Stöhr
Adolph Stöhr (Sankt Pölten, 1855–1921) was professor of philosophy at the University of Vienna. His lectures and publications covered subjects such as logic, metaphysics, philosophy of language, experimental psychology, psychology of perception, and psychology of association.
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Alain Badiou
Alain Badiou (French pronunciation: [alɛ̃ badju] (listen) (help·info); born 17 January 1937 in Rabat, Morocco) is a French philosopher, professor at European Graduate School, formerly chair of Philosophy at the École Normale Supérieure (ENS).
Badiou has written about the concepts of being, truth and the subject in a way that, he claims, is neither postmodern nor simply a repetition of modernity. Politically, Badiou is committed to the far left, and to the communist tradition.
Slavoj Žižek has written of Badiou that he is "a figure like Plato or Hegel walk[ing] here among us".
Badiou was a student at the Lycée Louis-Le-Grand and then the Ecole Normale Supérieure (1957–1961). He taught at the lycée in Reims from 1963 where he became a close friend of fellow playwright (and philosopher) François Regnault, and published a couple of novels before moving to the University of Paris VIII (Vincennes-Saint Denis) in 1969. Badiou was politically active very early on, and was one of the founding members of the Unified Socialist Party (PSU). The PSU was particularly active in the struggle for the decolonization of Algeria. He wrote his first novel, Almagestes, in 1964. In 1967 he joined a study group organized by Louis Althusser, became increasingly influenced by Jacques Lacan and became a member of the editorial board of Cahiers pour l’Analyse. By then he "already had a solid grounding in mathematics and logic (along with Lacanian theory)", and his own two contributions to the pages of Cahiers "anticipate many of the distinctive concerns of his later philosophy".
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Alan Ross Anderson
Alan Ross Anderson (1925 – 1973) was an American logician and professor of philosophy at Yale University and the University of Pittsburgh.
A frequent collaborator with Nuel Belnap, Anderson was instrumental in the development of relevance logic and deontic logic.
Anderson died of cancer in 1973.
Anderson believed that the conclusion of a valid inference ought to have something to do with (i.e. be relevant to) the premises. Formally, he captured this "relevance condition" with the principle that
As simple as this idea appears, implementing it in a formal system requires a radical departure from the semantics of classical logic. Anderson and Belnap (with contributions from J. Michael Dunn, Kit Fine, Alasdair Urquhart, Robert K. Meyer, Anil Gupta (logician), and others) explored the formal consequences of the relevance condition in great detail in their influential Entailment books (see references below), which are the most frequently cited works in the field of relevance logic.
Anderson and Belnap were quick to observe that the concept of relevance had been central to logic since Aristotle, but had been unduly neglected since Gottlob Frege and George Boole laid the foundations for what would come to be known, somewhat ironically, as "classical" logic. (For an example of classical logic's failure to satisfy the relevance condition, see the article on the principle of explosion.)
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Alan Turing
Alan Mathison Turing, OBE, FRS ( /ˈtjʊərɪŋ/ TEWR-ing; 23 June 1912 – 7 June 1954), was an English mathematician, logician, cryptanalyst, and computer scientist. He was highly influential in the development of computer science, providing a formalisation of the concepts of "algorithm" and "computation" with the Turing machine, which played a significant role in the creation of the modern computer. Turing is widely considered to be the father of computer science and artificial intelligence.
During the Second World War, Turing worked for the Government Code and Cypher School (GCCS) at Bletchley Park, Britain's codebreaking centre. For a time he was head of Hut 8, the section responsible for German naval cryptanalysis. He devised a number of techniques for breaking German ciphers, including the method of the bombe, an electromechanical machine that could find settings for the Enigma machine.
After the war he worked at the National Physical Laboratory, where he created one of the first designs for a stored-program computer, the ACE. In 1948 Turing joined Max Newman's Computing Laboratory at Manchester University, where he assisted in the development of the Manchester computers and became interested in mathematical biology. He wrote a paper on the chemical basis of morphogenesis, and he predicted oscillating chemical reactions such as the Belousov–Zhabotinsky reaction, which were first observed in the 1960s.
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Albert Camus
Albert Camus (French pronunciation: [albɛʁ kamy] ( listen); 7 November 1913 – 4 January 1960) was a French author, journalist, and philosopher. His views contributed to the rise of the philosophy known as absurdism. He wrote in his essay "The Rebel" that his whole life was devoted to opposing the philosophy of nihilism while still delving deeply into individual freedom.
Although often cited as a proponent of existentialism, the philosophy with which Camus was associated during his own lifetime, he rejected this particular label. In an interview in 1945, Camus rejected any ideological associations: "No, I am not an existentialist. Sartre and I are always surprised to see our names linked..."
In 1949, Camus founded the Group for International Liaisons within the Revolutionary Union Movement, which was opposed to some tendencies of the Surrealist movement of André Breton.
Camus was awarded the 1957 Nobel Prize for Literature "for his important literary production, which with clear-sighted earnestness illuminates the problems of the human conscience in our times". He was the second-youngest recipient of the Nobel Prize in Literature, after Rudyard Kipling, and the first African-born writer to receive the award. He is the shortest-lived of any Nobel literature laureate to date, having died in an automobile accident just over two years after receiving the award.
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Albert Einstein
Albert Einstein ( /ˈælbərt ˈaɪnstaɪn/; German: [ˈalbɐt ˈaɪnʃtaɪn] ( listen); 14 March 1879 – 18 April 1955) was a German theoretical physicist who developed the theory of general relativity, effecting a revolution in physics. For this achievement, Einstein is often regarded as the father of modern physics. While best known for his mass–energy equivalence formula E = mc2 (which has been dubbed "the world's most famous equation"), he received the 1921 Nobel Prize in Physics "for his services to theoretical physics, and especially for his discovery of the law of the photoelectric effect". The latter was pivotal in establishing quantum theory within physics.
Near the beginning of his career, Einstein thought that Newtonian mechanics was no longer enough to reconcile the laws of classical mechanics with the laws of the electromagnetic field. This led to the development of his special theory of relativity. He realized, however, that the principle of relativity could also be extended to gravitational fields, and with his subsequent theory of gravitation in 1916, he published a paper on the general theory of relativity. He continued to deal with problems of statistical mechanics and quantum theory, which led to his explanations of particle theory and the motion of molecules. He also investigated the thermal properties of light which laid the foundation of the photon theory of light. In 1917, Einstein applied the general theory of relativity to model the structure of the universe as a whole.
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Alexander Bain
Alexander Bain (11 June 1818 – 18 September 1903) was a Scottish philosopher and educationalist in the British school of empiricism who was a prominent and innovative figure in the fields of psychology, linguistics, logic, moral philosophy and education reform. He founded Mind, the first ever journal of psychology and analytical philosophy, and was the leading figure in establishing and applying applying the scientific method to psychology. Bain was the inaugural Regius Chair in Logic and Professor of Logic at the University of Aberdeen, where he also held Professorships in Moral Philosophy and English Literature and was twice elected Lord Rector of the University of Aberdeen.
Alexander Bain was born in Aberdeen, Scotland to George Bain, a weaver and veteran soldier, and Margaret Paul. At age eleven he left school to work as a weaver hence the description of him as Weevir, rex philosophorum. He also took to lectures at the Mechanics' Institutes of Aberdeen and the Aberdeen Public Library.
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Alfred Tarski
Alfred Tarski (January 14, 1901 – October 26, 1983) was a Polish logician and mathematician. Educated at the University of Warsaw and a member of the Lwow-Warsaw School of Logic and the Warsaw School of Mathematics and philosophy, he emigrated to the USA in 1939, and taught and carried out research in mathematics at the University of California, Berkeley, from 1942 until his death.
A prolific author best known for his work on model theory, metamathematics, and algebraic logic, he also contributed to abstract algebra, topology, geometry, measure theory, mathematical logic, set theory, and analytic philosophy.
His biographers Anita and Solomon Feferman state that, "Along with his contemporary, Kurt Gödel, he changed the face of logic in the twentieth century, especially through his work on the concept of truth and the theory of models."
Alfred Tarski was born Alfred Teitelbaum (Polish spelling: "Tajtelbaum"), to parents who were Polish Jews in comfortable circumstances. He first manifested his mathematical abilities while in secondary school, at Warsaw's Szkoła Mazowiecka. Nevertheless, he entered the University of Warsaw in 1918 intending to study biology.
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Alonzo Church
Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science. He is best known for the lambda calculus, Church–Turing thesis, solving the Entscheidungsproblem, Frege–Church ontology, and the Church–Rosser theorem.
Alonzo Church was born on June 14, 1903 in Washington, D.C. where his father, Samuel Robbins Church, was the judge of the Municipal Court for the District of Columbia. The family later moved to Virginia after his father lost this position because of failing eyesight. With help from his uncle, also named Alonzo Church, he was able to attend the Ridgefield School for Boys in Ridgefield, Connecticut. After graduating from Ridgefield in 1920, Church attended Princeton University where he was an exceptional student, publishing his first paper, on Lorentz transformations, and graduating in 1924 with a degree in mathematics. He stayed at Princeton, earning a Ph.D. in mathematics in three years under Oswald Veblen.
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Antoine Arnauld
Antoine Arnauld (February 6, 1612, Paris – August 8, 1694, Brussels) — le Grand as contemporaries called him, to distinguish him from his father — was a French Roman Catholic theologian, philosopher, and mathematician. He was one of the leading intellectuals of the Jansenist group of Port-Royal and had a very thorough knowledge of patristics.
Antoine Arnauld was born in Paris to the Arnauld family. The twentieth and youngest child of the original Antoine Arnauld, he was originally intended for the bar, but decided instead to study theology at the Sorbonne. Here he was brilliantly successful, and his career was flourishing when he came under the influence of Jean du Vergier de Hauranne, the spiritual director and leader of the convent of Port-Royal, and was drawn in the direction of Jansenism.
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Aristotle
Aristotle (Ancient Greek: Ἀριστοτέλης, Aristotélēs) (384 BC – 322 BC) was a Greek philosopher and polymath, a student of Plato and teacher of Alexander the Great. His writings cover many subjects, including physics, metaphysics, poetry, theater, music, logic, rhetoric, linguistics, politics, government, ethics, biology, and zoology. Together with Plato and Socrates (Plato's teacher), Aristotle is one of the most important founding figures in Western philosophy. Aristotle's writings were the first to create a comprehensive system of Western philosophy, encompassing morality, aesthetics, logic, science, politics, and metaphysics.
Aristotle's views on the physical sciences profoundly shaped medieval scholarship, and their influence extended well into the Renaissance, although they were ultimately replaced by Newtonian physics. In the zoological sciences, some of his observations were confirmed to be accurate only in the 19th century. His works contain the earliest known formal study of logic, which was incorporated in the late 19th century into modern formal logic. In metaphysics, Aristotelianism had a profound influence on philosophical and theological thinking in the Islamic and Jewish traditions in the Middle Ages, and it continues to influence Christian theology, especially the scholastic tradition of the Catholic Church. His ethics, though always influential, gained renewed interest with the modern advent of virtue ethics. All aspects of Aristotle's philosophy continue to be the object of active academic study today. Though Aristotle wrote many elegant treatises and dialogues (Cicero described his literary style as "a river of gold"), it is thought that the majority of his writings are now lost and only about one-third of the original works have survived.
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Arthur Schopenhauer
Arthur Schopenhauer (22 February 1788 – 21 September 1860) was a German philosopher known for his pessimism and philosophical clarity. At age 25, he published his doctoral dissertation, On the Fourfold Root of the Principle of Sufficient Reason, which examined the four separate manifestations of reason in the phenomenal world.
Schopenhauer's most influential work, The World as Will and Representation, claimed that the world is fundamentally what humans recognize in themselves as their will. His analysis of will led him to the conclusion that emotional, physical, and sexual desires can never be fully satisfied. The corollary of this is an ultimately painful human condition. Consequently, he considered that a lifestyle of negating desires, similar to the ascetic teachings of Vedanta, Buddhism and the Church Fathers of early Christianity, was the only way to attain liberation.
Schopenhauer's metaphysical analysis of will, his views on human motivation and desire, and his aphoristic writing style influenced many well-known thinkers, including Friedrich Nietzsche,Richard Wagner, Ludwig Wittgenstein, Erwin Schrödinger, Albert Einstein,Sigmund Freud, Otto Rank, Carl Jung, Joseph Campbell, Leo Tolstoy, Thomas Mann, and Jorge Luis Borges.
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Auguste Comte
Isidore Auguste Marie François Xavier Comte (19 January 1798 – 5 September 1857), better known as Auguste Comte [oɡyst kɔ̃t], was a French philosopher. He was a founder of the discipline of sociology and of the doctrine of positivism. He may be regarded as the first philosopher of science in the modern sense of the term.
Strongly influenced by the Utopian socialist Henri Saint-Simon, Comte developed the positive philosophy in an attempt to remedy the social malaise of the French revolution, calling for a new social doctrine based on the sciences. Comte was a major influence on 19th century thought, impacting the work of social thinkers such as Karl Marx, John Stuart Mill, and George Eliot. His concept of sociologie and social evolutionism, though now outdated, set the tone for early social theorists and anthropologists such as Harriet Martineau and Herbert Spencer, evolving into Modern academic sociology presented by Émile Durkheim as practical and objective social research.
Comte's social theories culminated in the "religion of humanity", which was influential to the development of religious humanist and Secular Humanist organizations in the 19th century. Comte likewise coined the word "altruism".
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Augustine of Hippo
Augustine of Hippo ( /ɒˈɡʌstɨn/ or /ˈɔːɡəstɪn/;Latin: Aurelius Augustinus Hipponensis; November 13, 354 – August 28, 430), also known as Augustine, St. Augustine, St. Austin,St. Augoustinos, Blessed Augustine, or St. Augustine the Blessed, was Bishop of Hippo Regius (present-day Annaba, Algeria). He was a Latin philosopher and theologian from Roman Africa. His writings were very influential in the development of Western Christianity.
According to his contemporary, Jerome, Augustine "established anew the ancient Faith." In his early years he was heavily influenced by Manichaeism and afterward by the Neo-Platonism of Plotinus. After his conversion to Christianity and baptism in AD 387, Augustine developed his own approach to philosophy and theology, accommodating a variety of methods and different perspectives. He believed that the grace of Christ was indispensable to human freedom, and he framed the concepts of original sin and just war.
When the Western Roman Empire was starting to disintegrate, Augustine developed the concept of the Catholic Church as a spiritual City of God (in a book of the same name), distinct from the material Earthly City. His thoughts profoundly influenced the medieval worldview. Augustine's City of God was closely identified with the Church, the community that worshipped God.
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Augustus De Morgan
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician. He formulated De Morgan's laws and introduced the term mathematical induction, making its idea rigorous. The crater De Morgan on the Moon is named after him.
Augustus De Morgan was born in 1806. His father was Col. Augustus De Morgan, who held various appointments in the service of the East India Company. His mother descended from James Dodson, who computed a table of anti-logarithms, that is, the numbers corresponding to exact logarithms. Augustus De Morgan became blind in one eye a month or two after he was born. The family moved to England when Augustus was seven months old. As his father and grandfather had both been born in India, De Morgan used to say that he was neither English, nor Scottish, nor Irish, but a Briton "unattached", using the technical term applied to an undergraduate of Oxford or Cambridge who is not a member of any one of the Colleges.
When De Morgan was ten years old, his father died. Mrs. De Morgan resided at various places in the southwest of England, and her son received his elementary education at various schools of no great account. His mathematical talents went unnoticed until he was fourteen, when a family-friend discovered him making an elaborate drawing of a figure in Euclid with ruler and compasses. She explained the aim of Euclid to Augustus, and gave him an initiation into demonstration.
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Averroes
ʾAbū l-Walīd Muḥammad bin ʾAḥmad bin Rušd (Arabic: أبو الوليد محمد بن احمد بن رشد), better known just as Ibn Rushd (Arabic: ابن رشد), and in European literature as Averroes ( /əˈvɛroʊ.iːz/; April 14, 1126 – December 10, 1198), was an Andalusian Muslim polymath; a master of Aristotelian philosophy, Islamic philosophy, Islamic theology, Maliki law and jurisprudence, logic, psychology, politics, Arabic music theory, and the sciences of medicine, astronomy, geography, mathematics, physics and celestial mechanics. He was born in Córdoba, Al Andalus, modern-day Spain, and died in Marrakesh, Morocco. His school of philosophy is known as Averroism.
Ibn Rushd was a defender of Aristotelian philosophy against claims from the influential Islamic theologian Ghazali who attacked philosophy so it would not become an affront to the teachings of Islam.
Averroes' name is also seen as Averroës, Averroès or Averrhoës, indicating that the "o" and the "e" form separate syllables. Averroes is a Latinisation of a Hebrew transcription of the Arab name Ibn Rushd.
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Avicenna
Abū ʿAlī al-Ḥusayn ibn ʿAbd Allāh ibn Sīnā (Persian پورسينا Pur Sina [ˈpuːr ˈsiːnɑː] "son of Sina"; c. 980, Afshana near Bukhara– 1037, Hamadan, Iran), commonly known as Ibn Sīnā or by his Latinized name Avicenna, was a Persianpolymath, who wrote almost 450 treatises on a wide range of subjects, of which around 240 have survived. In particular, 150 of his surviving treatises concentrate on philosophy and 40 of them concentrate on medicine.
His most famous works are The Book of Healing, a vast philosophical and scientific encyclopaedia, and The Canon of Medicine, which was a standard medical text at many medieval universities. The Canon of Medicine was used as a text-book in the universities of Montpellier and Leuven as late as 1650. Ibn Sīnā's Canon of Medicine provides a complete system of medicine according to the principles of Galen (and Hippocrates).
His corpus also includes writing on philosophy, astronomy, alchemy, geology, psychology, Islamic theology, logic, mathematics, physics, as well as poetry. He is regarded as the most famous and influential polymath of the Islamic Golden Age.
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Ayn Rand
Ayn Rand ( /ˈaɪn ˈrænd/; born Alisa Zinov'yevna Rosenbaum, February 2 [O.S. January 20] 1905 – March 6, 1982) was a Russian-American novelist, philosopher, playwright, and screenwriter. She is known for her two best-selling novels The Fountainhead and Atlas Shrugged and for developing a philosophical system she called Objectivism.
Born and educated in Russia, Rand moved to the United States in 1926. She worked as a screenwriter in Hollywood and had a play produced on Broadway in 1935–1936. After two initially unsuccessful early novels, she achieved fame with her 1943 novel The Fountainhead. In 1957, she published her best-known work, the philosophical novel Atlas Shrugged. Afterward she turned to nonfiction to promote her philosophy, publishing her own magazines and releasing several collections of essays until her death in 1982.
Rand advocated reason as the only means of acquiring knowledge and rejected all forms of faith and religion. She supported rational and ethical egoism, and rejected ethical altruism. In politics, she condemned the initiation of force as immoral and opposed all forms of collectivism and statism, instead supporting laissez-faire capitalism, which she believed was the only social system that protected individual rights. She promoted romantic realism in art. She was sharply critical of the philosophers and philosophical traditions known to her besides Aristotle.
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Baron d'Holbach
Paul-Henri Thiry, Baron d'Holbach (8 December 1723 – 21 January 1789) was a French-German author, philosopher, encyclopedist and a prominent figure in the French Enlightenment. He was born Paul Heinrich Dietrich in Edesheim, near Landau in the Rhenish Palatinate, but lived and worked mainly in Paris, where he kept a salon. He is best known for his atheism and for his voluminous writings against religion, the most famous of them being the System of Nature (1770).
D’Holbach's mother Catherine Jacobina née Holbach (1684–1743) was the daughter of Johannes Jacobus Holbach († 1723) the Prince-Bishop's tax collector, or better for the Roman Catholic Diocese of Speyer. His father, Johann Jakob Dietrich, (with other notations: ger.: Johann Jakob Dirre; fr.: Jean Jacques Thiry) (1672–1756) was a wine-grower.
He was raised in Paris by his uncle Franz Adam Holbach, (or Adam François d’Holbach or Messire François-Adam, Baron d’Holbach, Seigneur de Heeze, Leende et autres Lieux) (approx. 1675–1753), who had become a millionaire by speculating on the Paris stock-exchange. With his financial support, d’Holbach attended the University of Leiden from 1744 to 1748 and went on to marry his second cousin, Basile-Geneviève d'Aine (1728–1754), on 11 December 1750. In 1753 both his uncle and his father died, leaving the 30-year-old d'Holbach with an enormous inheritance, such as Heeze Castle, Kasteel Heeze te Heeze.
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Baruch Spinoza
Baruch Spinoza and later Benedict de Spinoza (24 November 1632 – 21 February 1677) was a Dutch philosopher. Revealing considerable scientific aptitude, the breadth and importance of Spinoza's work was not fully realized until years after his death. By laying the groundwork for the 18th century Enlightenment[citation needed] and modern biblical criticism, he came to be considered one of the great rationalists of 17th-century philosophy. His magnum opus, the posthumous Ethics, in which he opposed Descartes's mind–body dualism, has earned him recognition as one of Western philosophy's most important contributors. In the Ethics, "Spinoza wrote the last indisputable Latin masterpiece, and one in which the refined conceptions of medieval philosophy are finally turned against themselves and destroyed entirely." Philosopher Georg Wilhelm Friedrich Hegel said of all contemporary philosophers, "You are either a Spinozist or not a philosopher at all."
Spinoza's name in different languages is Hebrew: ברוך שפינוזה Baruch Spinoza, Portuguese: Benedito or Bento de Espinosa and Latin: Benedictus de Spinoza; in all these languages, the given name means "the Blessed". Spinoza was raised in the Portuguese Jewish community in Amsterdam. He developed highly controversial ideas regarding the authenticity of the Hebrew Bible and the nature of the Divine. The Jewish religious authorities issued a cherem (Hebrew: חרם, a kind of ban, shunning, ostracism, expulsion, or excommunication) against him, effectively excluding him from Jewish society at age 23. His books were also later put on the Catholic Church's Index of Forbidden Books.
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Benjamin Franklin
Benjamin Franklin (January 17, 1706 [O.S. January 6, 1705] – April 17, 1790) was one of the Founding Fathers of the United States. A noted polymath, Franklin was a leading author, printer, political theorist, politician, postmaster, scientist, musician, inventor, satirist, civic activist, statesman, and diplomat. As a scientist, he was a major figure in the American Enlightenment and the history of physics for his discoveries and theories regarding electricity. He invented the lightning rod, bifocals, the Franklin stove, a carriage odometer, and the glass 'armonica'. He formed both the first public lending library in America and the first fire department in Pennsylvania.
Franklin earned the title of "The First American" for his early and indefatigable campaigning for colonial unity; as an author and spokesman in London for several colonies, then as the first United States Ambassador to France, he exemplified the emerging American nation. Franklin was foundational in defining the American ethos as a marriage of the practical and democratic values of thrift, hard work, education, community spirit, self-governing institutions, and opposition to authoritarianism both political and religious, with the scientific and tolerant values of the Enlightenment. In the words of historian Henry Steele Commager, "In a Franklin could be merged the virtues of Puritanism without its defects, the illumination of the Enlightenment without its heat." To Walter Isaacson, this makes Franklin "the most accomplished American of his age and the most influential in inventing the type of society America would become."
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Benjamin Lee Whorf
Benjamin Lee Whorf (April 24, 1897 in Winthrop, Massachusetts – July 26, 1941) was an American linguist. Whorf is widely known for his ideas about linguistic relativity, the hypothesis that language influences thought. An important theme in many of his publications, he has been credited as one of the fathers of this approach, often referred to as the "Sapir–Whorf hypothesis", named after him and his mentor Edward Sapir. Originally educated as a chemical engineer, he took up an interest in linguistics, studying with Sapir at Yale University. In the last ten years of his life he dedicated his spare time to linguistic studies, doing field work on Native American languages in the United States and Mexico. He managed to become one of the most influential linguists of his time, even while still working as a fire inspector for the Hartford Fire Insurance Company. He wrote a grammar of the Hopi language, studies of Nahuatl dialects, Maya hieroglyphic writing, and the first attempt at a reconstruction of Uto-Aztecan. He also published many articles in the most prestigious linguistic journals, many of them dealing with the ways in which he saw that different linguistic systems affected the thought systems and habitual behaviour of language users.
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Benoît Mandelbrot
Benoît B. Mandelbrot (20 November 1924 – 14 October 2010) was a French American mathematician. Born in Poland, he moved to France with his family when he was a child. Mandelbrot spent much of his life living and working in the United States, and he acquired dual French and American citizenship.
Mandelbrot worked on a wide range of mathematical problems, including mathematical physics and quantitative finance, but is best known as the father of fractal geometry. He coined the term fractal and described the Mandelbrot set. Mandelbrot also wrote books and gave lectures aimed at the general public.
Mandelbrot spent most of his career at IBM's Thomas J. Watson Research Center, and was appointed as an IBM Fellow. He later became a Sterling Professor of Mathematical Sciences at Yale University, where he was the oldest professor in Yale's history to receive tenure. Mandelbrot also held positions at the Pacific Northwest National Laboratory, Université Lille Nord de France, Institute for Advanced Study and Centre National de la Recherche Scientifique.
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Bernhard Riemann
Georg Friedrich Bernhard Riemann [ˈʁiːman] ( listen) (September 17, 1826 – July 20, 1866) was an influential German mathematician who made lasting contributions to analysis, number theory and differential geometry, some of them enabling the later development of general relativity.
Riemann was born in Breselenz, a village near Dannenberg in the Kingdom of Hanover in what is the Federal Republic of Germany today. His father, Friedrich Bernhard Riemann, was a poor Lutheran pastor in Breselenz who fought in the Napoleonic Wars. His mother, Charlotte Ebell, died before her children had reached adulthood. Riemann was the second of six children, shy, and suffered from numerous nervous breakdowns. Riemann exhibited exceptional mathematical skills, such as fantastic calculation abilities, from an early age but suffered from timidity and a fear of speaking in public.
During 1840, Riemann went to Hanover to live with his grandmother and attend lyceum (middle school). After the death of his grandmother in 1842, he attended high school at the Johanneum Lüneburg. In high school, Riemann studied the Bible intensively, but he was often distracted by mathematics. His teachers were amazed by his adept ability to solve complicated mathematical operations, in which he often outstripped his instructor's knowledge. In 1846, at the age of 19, he started studying philology and theology in order to become a priest and help with his family's finances.
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Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, and social critic. At various points in his life he considered himself a liberal, a socialist, and a pacifist, but he also admitted that he had never been any of these in any profound sense. He was born in Monmouthshire, into one of the most prominent aristocratic families in Britain.
Russell led the British "revolt against idealism" in the early 20th century. He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege and his friend Ludwig Wittgenstein, and is widely held to be one of the 20th century's premier logicians. He co-authored, with A. N. Whitehead, Principia Mathematica, an attempt to ground mathematics on logic. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy." His work has had a considerable influence on logic, mathematics, set theory, linguistics, computer science (see type theory and type system), and philosophy, especially philosophy of language, epistemology, and metaphysics.
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Blaise Pascal
Blaise Pascal (French pronunciation: [blɛz paskal]; 19 June 1623 – 19 August 1662), was a French mathematician, physicist, inventor, writer and Catholic philosopher. He was a child prodigy who was educated by his father, a tax collector in Rouen. Pascal's earliest work was in the natural and applied sciences where he made important contributions to the study of fluids, and clarified the concepts of pressure and vacuum by generalizing the work of Evangelista Torricelli. Pascal also wrote in defense of the scientific method.
In 1642, while still a teenager, he started some pioneering work on calculating machines, and after three years of effort and 50 prototypes he invented the mechanical calculator. He built twenty of these machines (called the Pascaline) in the following ten years. Pascal was an important mathematician, helping create two major new areas of research: he wrote a significant treatise on the subject of projective geometry at the age of sixteen, and later corresponded with Pierre de Fermat on probability theory, strongly influencing the development of modern economics and social science. Following Galileo and Torricelli, in 1646 he refuted Aristotle's followers who insisted that nature abhors a vacuum. Pascal's results caused many disputes before being accepted.
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C. D. Broad
C. D. Broad (full name Charlie Dunbar Broad; 30 December 1887 – 11 March 1971) was an English epistemologist, historian of philosophy, philosopher of science, moral philosopher, and writer on the philosophical aspects of psychical research. He was known for his thorough and dispassionate examinations of arguments in such works as Scientific Thought, published in 1923, The Mind and Its Place in Nature, published in 1925, and Examination of McTaggart's Philosophy, published in 1933.
Broad's essay on "Determinism, Indeterminism, and Libertarianism" in Ethics and the History of Philosophy (1952) introduced the philosophical terms "occurrent causation" and "non-occurrent causation", which became the basis for today's "agent causal" and "event causal" distinctions in the debates on Libertarian Free Will.
Broad was born in Harlesden, in Middlesex, England. He was educated at Dulwich College from 1900 until 1906. He gained a scholarship to study at Trinity College, Cambridge in 1906. In 1910 he graduated with First-Class Honours, with distinction.
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Carl Schmitt
Carl Schmitt (July 11, 1888 – April 7, 1985) was a German jurist, philosopher, political theorist, and professor of law.
Schmitt published several essays, influential in the 20th century and beyond, on the mentalities that surround the effective wielding of political power. His ideas have attracted the attention of numerous philosophers and political theorists, including Walter Benjamin, Leo Strauss, Jacques Derrida, Étienne Balibar, Hannah Arendt, Giorgio Agamben, Antonio Negri, Gianfranco Miglio, Paolo Virno, Slavoj Žižek, Alain Badiou, Jacob Taubes, Gillian Rose, Chantal Mouffe, Eric Voegelin, Reinhart Koselleck, Álvaro d'Ors, and Paul Gottfried. Much of his work, especially from the Weimar period, remains both influential and controversial today.
Schmitt, whose father was a minor businessman, was the son of Roman Catholic parents from the German Eifel region who settled in Plettenberg, Westphalia. He studied law in Berlin, Munich and Strasbourg and took his graduation and state exams in the then-German Strasbourg in 1915. He volunteered for the army in 1916. The same year, he earned his habilitation in Strasbourg. He taught at various business schools and universities - in Munich, Greifswald, Bonn, Berlin, and Cologne.
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Caroline of Ansbach
Caroline of Brandenburg-Ansbach (Wilhelmina Charlotte Caroline; 1 March 1683 – 20 November 1737) was the queen consort of King George II of Great Britain.
Her father, John Frederick, Margrave of Brandenburg-Ansbach, was the ruler of a small German state. Caroline was orphaned at a young age and moved to the enlightened court of her guardian, Sophia Charlotte of Hanover, consort of Frederick I of Prussia. At the Prussian court, her previously limited education was widened, and she adopted the liberal outlook possessed by her guardian. They became good friends, and Sophia Charlotte's views influenced Caroline all her life.
As a young woman, Caroline was much sought-after as a bride. After rejecting the suit of the nominal King of Spain, Archduke Charles of Austria, she married George Augustus, the third-in-line to the British throne and heir apparent to the Electorate of Hanover. They had eight children, seven of whom grew to adulthood. Caroline moved permanently to Britain in 1714 when her husband became Prince of Wales. As Princess of Wales, she joined her husband in rallying political opposition to his father King George I. In 1717, her husband was expelled from court after a family row. Caroline came to be associated with Robert Walpole, an opposition politician who was a former government minister. Walpole rejoined the government in 1720, and Caroline's husband and King George I reconciled publicly, on Walpole's advice. Over the next few years, Walpole rose to become the leading minister.
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Cesare Beccaria
Cesare, Marquis of Beccaria-Bonesana (Italian pronunciation: [ˈtʃɛzare bekkaˈria]; March 15, 1738 – November 28, 1794) was an Italian jurist, philosopher and politician best known for his treatise On Crimes and Punishments (1764), which condemned torture and the death penalty, and was a founding work in the field of penology.
Beccaria was born in Milan on March 15, 1738 and educated in the Jesuit college at Parma. Then he graduated in Law from the University of Pavia in 1758. At first, he showed a great aptitude for mathematics, but the study of Montesquieu redirected his attention towards economics. His first publication, in 1762, was a tract on the disorder of the currency in the Milanese states, with a proposal for its remedy. During this time Beccaria, with the brothers Alessandro and Pietro Verri and a number of other young men from the Milan aristocracy formed a literary society, which was named "L'Accademia dei pugni" (the Academy of Fists), a playful name that made fun of the stuffy academies that proliferated in Italy and also because relaxed conversations that were taking place in there were sometimes ending in affrays.[citation needed]
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Charlemagne
Charlemagne ( /ˈʃɑrlɨmeɪn/ or /ˈʃɑrləmeɪn/; French pronunciation: [ʃaʁ.lə.maɲ]; c. 742 – 28 January 814), also known as Charles the Great (Latin: Carolus Magnus or Karolus Magnus), was King of the Franks from 768 and Emperor of the Romans (Imperator Romanorum) from 800 to his death in 814. He expanded the Frankish kingdom into an empire that incorporated much of Western and Central Europe. During his reign, he conquered Italy and was crowned Imperator Augustus by Pope Leo III on 25 December 800 in Rome.
His rule is also associated with the Carolingian Renaissance, a revival of art, religion, and culture through the medium of the Catholic Church. Through his foreign conquests and internal reforms, Charlemagne helped define both Western Europe and the European Middle Ages. He is numbered as Charles I in the regnal lists of Germany, the Holy Roman Empire, and France.
The son of King Pepin the Short and Bertrada of Laon, a Frankish queen, he succeeded his father in 768 and was initially co-ruler with his brother Carloman I. It has often been suggested that the relationship between Charlemagne and Carloman was not good, but it has also been argued that tensions were exaggerated by Carolingian chroniclers.
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Charles Babbage
Charles Babbage, FRS (26 December 1791 – 18 October 1871) was an English mathematician, philosopher, inventor and mechanical engineer who originated the concept of a programmable computer. Considered a "father of the computer", Babbage is credited with inventing the first mechanical computer that eventually led to more complex designs.
Parts of his uncompleted mechanisms are on display in the London Science Museum. In 1991, a perfectly functioning difference engine was constructed from Babbage's original plans. Built to tolerances achievable in the 19th century, the success of the finished engine indicated that Babbage's machine would have worked. Nine years later, the Science Museum completed the printer Babbage had designed for the difference engine.
Babbage's birthplace is disputed, but he was most likely born at 44 Crosby Row, Walworth Road, London, England. A blue plaque on the junction of Larcom Street and Walworth Road commemorates the event.
His date of birth was given in his obituary in The Times as 26 December 1792. However after the obituary appeared, a nephew wrote to say that Charles Babbage was born one year earlier, in 1791. The parish register of St. Mary's Newington, London, shows that Babbage was baptised on 6 January 1792, supporting a birth year of 1791.
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China
China (i/ˈtʃaɪnə/; Chinese: 中国; pinyin: Zhōngguó; see also Names of China), officially the People's Republic of China (PRC), is the world's most-populous country, with a population of over 1.3 billion. Covering approximately 9.6 million square kilometres, the East Asian state is the world's second-largest country by land area, and the third- or fourth-largest in total area, depending on the definition of total area.
The People's Republic of China is a single-party state governed by the Communist Party of China. It exercises jurisdiction over 22 provinces, five autonomous regions, four directly controlled municipalities (Beijing, Tianjin, Shanghai, and Chongqing), and two mostly self-governing special administrative regions (Hong Kong and Macau). Its capital city is Beijing. The PRC also claims Taiwan—which is controlled by the Republic of China (ROC), a separate political entity—as its 23rd province, a claim controversial due to the complex political status of Taiwan and the unresolved Chinese Civil War. The PRC government denies the legitimacy of the ROC.
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Christiaan Huygens
Christiaan Huygens, FRS (/ˈhaɪɡənz/; [ˈɦœyɣə(n)s] ( listen); 14 April 1629 – 8 July 1695) was a prominent Dutch mathematician, astronomer, physicist and horologist. His work included early telescopic studies elucidating the nature of the rings of Saturn and the discovery of its moon Titan, the invention of the pendulum clock and other investigations in timekeeping, and studies of both optics and the centrifugal force.
Huygens achieved note for his argument that light consists of waves, now known as the Huygens–Fresnel principle, which two centuries later became instrumental in the understanding of wave-particle duality. He generally receives credit for his discovery of the centrifugal force, the laws for collision of bodies, for his role in the development of modern calculus and his original observations on sound perception (see repetition pitch).
Christiaan Huygens was born in April 1629 at The Hague, the second son of Constantijn Huygens, (1596–1687), a friend of mathematician, philosopher and minor physicistRené Descartes, and of Suzanna van Baerle (deceased 1637), whom Constantijn had married on 6 April 1627. Christiaan studied law and mathematics at the University of Leiden and the College of Orange in Breda. After a stint as a diplomat, Huygens turned to science.
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Chrysippus
Chrysippus of Soli (Ancient Greek: Χρύσιππος ὁ Σολεύς, Chrysippos ho Soleus; c. 279 BC – c. 206 BC) was a Greek Stoic philosopher. He was a native of Soli, Cilicia, but moved to Athens as a young man, where he became a pupil of Cleanthes in the Stoic school. When Cleanthes died, around 230 BC, Chrysippus became the third head of the school. A prolific writer, Chrysippus expanded the fundamental doctrines of Zeno of Citium, the founder of the school, which earned him the title of Second Founder of Stoicism.
Chrysippus excelled in logic, the theory of knowledge, ethics and physics. He created an original system of propositional logic in order to better understand the workings of the universe and role of humanity within it. He adhered to a deterministic view of fate, but nevertheless sought a role for personal freedom in thought and action. Ethics, he taught, depended on understanding the nature of the universe, and he taught a therapy of extirpating the unruly passions which depress and crush the soul. He initiated the success of Stoicism as one of the most influential philosophical movements for centuries in the Greek and Roman world.
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Confucius
Confucius (551–479 BC) was a Chinese teacher, editor, politician, and philosopher of the Spring and Autumn Period of Chinese history.
The philosophy of Confucius emphasized personal and governmental morality, correctness of social relationships, justice, and sincerity. His followers competed successfully with many other schools during the Hundred Schools of Thought era only to be suppressed in favor of the Legalists during the Qin Dynasty. Following the victory of Han over Chu after the collapse of Qin, Confucius's thoughts received official sanction and were further developed into a system known as Confucianism.
Confucius is traditionally credited with having authored or edited many of the Chinese classic texts including all of the Five Classics, but modern scholars are cautious of attributing specific assertions to Confucius himself. Aphorisms concerning his teachings were compiled in the Analects, but only many years after his death.
Confucius's principles had a basis in common Chinese tradition and belief. He championed strong family loyalty, ancestor worship, respect of elders by their children (and in traditional interpretations of husbands by their wives), and family as a basis for ideal government. He espoused the well-known principle "Do not do to others what you do not want done to yourself", an early version of the Golden Rule.
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Daniel Dennett
Daniel Clement Dennett (born March 28, 1942) is an American philosopher, writer and cognitive scientist whose research centers on the philosophy of mind, philosophy of science and philosophy of biology, particularly as those fields relate to evolutionary biology and cognitive science. He is currently the Co-director of the Center for Cognitive Studies, the Austin B. Fletcher Professor of Philosophy, and a University Professor at Tufts University. Dennett is a firm atheist and secularist, a member of the Secular Coalition for America advisory board, as well as an outspoken supporter of the Brights movement. Dennett is referred to as one of the "Four Horsemen of New Atheism," along with Richard Dawkins, Sam Harris, and the late Christopher Hitchens.
Born in Boston, Massachusetts, Dennett spent part of his childhood in Lebanon, where, during World War II, his father was a covert counter-intelligence agent with the Office of Strategic Services posing as a cultural attaché to the American Embassy in Beirut. When he was five, his mother took him back to Massachusetts after his father died in an unexplained plane crash. His sister is the investigative journalist Charlotte Dennett.
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David Hilbert
David Hilbert, FRS (German pronunciation: [ˈdaːvɪt ˈhɪlbɐt]; January 23, 1862 – February 14, 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Hilbert adopted and warmly defended Georg Cantor's set theory and transfinite numbers. A famous example of his leadership in mathematics is his 1900 presentation of a collection of problems that set the course for much of the mathematical research of the 20th century.
Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.
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David Hume
David Hume (7 May [O.S. 26 April] 1711 – 25 August 1776) was a Scottish philosopher, historian, economist, and essayist, known especially for his philosophical empiricism and scepticism. He was one of the most important figures in the history of Western philosophy and the Scottish Enlightenment. Hume is often grouped with John Locke, George Berkeley, and a handful of others as a British Empiricist.
Beginning with his A Treatise of Human Nature (1739), Hume strove to create a total naturalistic "science of man" that examined the psychological basis of human nature. In stark opposition to the rationalists who preceded him, most notably Descartes, he concluded that desire rather than reason governed human behaviour, saying: "Reason is, and ought only to be the slave of the passions." A prominent figure in the sceptical philosophical tradition and a strong empiricist, he argued against the existence of innate ideas, concluding instead that humans have knowledge only of things they directly experience. Thus he divides perceptions between strong and lively "impressions" or direct sensations and fainter "ideas", which are copied from impressions. He developed the position that mental behaviour is governed by "custom"; our use of induction, for example, is justified only by our idea of the "constant conjunction" of causes and effects. Without direct impressions of a metaphysical "self", he concluded that humans have no actual conception of the self, only of a bundle of sensations associated with the self.
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Denis Diderot
Denis Diderot (October 5, 1713 – July 31, 1784) was a French philosopher, art critic, and writer. He was a prominent person during the Enlightenment and is best known for serving as co-founder and chief editor of and contributor to the Encyclopédie.
Diderot also contributed to literature, notably with Jacques le fataliste et son maître (Jacques the Fatalist and his Master), which emulated Laurence Sterne in challenging conventions regarding novels and their structure and content, while also examining philosophical ideas about free will. Diderot is also known as the author of the dialogue, Le Neveu de Rameau (Rameau's Nephew), upon which many articles and sermons about consumer desire have been based. His articles included many topics of the Enlightenment.
Denis Diderot was born in Langres and began his formal education at the jesuitic Collège Louis-leGrand in Langres. In 1732 he earned a master of arts degree in philosophy. Then he entered at the Collège d’Harcourt in Paris. He abandoned the idea of entering the clergy and decided instead to study law. His study of law was short-lived however and in 1734 Diderot decided to become a writer. Because of his refusal to enter one of the learned professions, he was disowned by his father, and for the next ten years he lived a bohemian existence.
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Denis Papin
Denis Papin (22 August 1647 - c. 1712) was a French physicist, mathematician and inventor, best known for his pioneering invention of the steam digester, the forerunner of the steam engine and of the pressure cooker.
Born in Chitenay, (Loir-et-Cher, Centre Région), Papin attended a Jesuit school there, and from 1661 attended University at Angers, from which he graduated with a medical degree in 1669. In 1673, while working with Christiaan Huygens and Gottfried Leibniz in Paris, he became interested in using a vacuum to generate motive power.
Papin first visited London in 1675, and worked with Robert Boyle from 1676 to 1679, publishing an account of his work in Continuation of New Experiments (1680). During this period, Papin invented the steam digester, a type of pressure cooker with a safety valve. He first addressed the Royal Society in 1679 on the subject of his digester, and remained mostly in London until about 1687, when he left to take up an academic post in Germany.
As a Huguenot, Papin found himself greatly affected by the increasing restrictions placed on Protestants by Louis XIV of France and by the King's ultimate revocation of the Edict of Nantes in 1685. In Germany he was able to live with fellow Huguenot exiles from France.
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Descartes
René Descartes (French pronunciation: [ʁəne dekaʁt]; Latinized form: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and writer who spent most of his adult life in the Dutch Republic. He has been dubbed the 'Father of Modern Philosophy', and much subsequent Western philosophy is a response to his writings, which are studied closely to this day. In particular, his Meditations on First Philosophy continues to be a standard text at most university philosophy departments. Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system — allowing algebraic equations to be expressed as geometric shapes in a two-dimensional coordinate system — was named after him. He is credited as the father of analytical geometry, the bridge between algebra and geometry, crucial to the discovery of infinitesimal calculus and analysis. Descartes was also one of the key figures in the Scientific Revolution and has been described as an example of genius.
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Dorothy Emmet
Dorothy Mary Emmet (29 September 1904 – 20 September 2000) was a British philosopher and head of Manchester University's philosophy department for over twenty years. With Margaret Masterman and Richard Braithwaite she was a founder member of the Epiphany Philosophers.
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Duns Scotus
John (Johannes, Ioannes) Duns Scotus, O.F.M. (c. 1256 – November 18, 1308) was one of the more important theologians and philosophers of the High Middle Ages. He was given the medieval accolade Doctor Subtilis (Subtle Doctor) for his penetrating and subtle manner of thought.
Scotus has had considerable influence on Roman Catholic thought. The doctrines for which he is best known are the "univocity of being," that existence is the most abstract concept we have, applicable to everything that exists; the formal distinction, a way of distinguishing between different aspects of the same thing; and the idea of haecceity, the property supposed to be in each individual thing that makes it an individual. Scotus also developed a complex argument for the existence of God, and argued for the Immaculate conception of Mary.
Little is known of Scotus' life. He was probably born in 1265, probably at Duns, in Berwickshire, Scotland. In 1291 he was ordained as a priest in Northampton, England. A note in Codex 66 of Merton College, Oxford, records that Scotus "flourished at Cambridge, Oxford and Paris. He began lecturing on Peter Lombard's Sentences at the prestigious University of Paris in the Autumn of 1302. Later in that academic year, however, he was expelled from the University of Paris for siding with then Pope Boniface VIII in his feud with Philip the Fair of France, over the taxation of church property.
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Edmund Burke
Edmund Burke PC (12 January [NS] 1729– 9 July 1797) was an Irish statesman, author, orator, political theorist and philosopher who, after moving to England, served for many years in the House of Commons of Great Britain as a member of the Whig party.
He is mainly remembered for his support of the cause of the American Revolutionaries, and for his later opposition to the French Revolution. The latter led to his becoming the leading figure within the conservative faction of the Whig party, which he dubbed the "Old Whigs", in opposition to the pro–French Revolution "New Whigs", led by Charles James Fox.
Burke was praised by both conservatives and liberals in the 19th century.[citation needed] Since the 20th century, he has generally been viewed as the philosophical founder of modern Conservatism, as well as a representative of classical liberalism.
Burke was born in Dublin, Ireland, to a prosperous solicitor father (Richard; d. 1761) of the Church of Ireland. It is unclear if this is the same Richard Burke who converted from Catholicism. His mother Mary (c. 1702–1770), whose maiden name was Nagle, was a Roman Catholic and came from an impoverished but genteel County Cork family. The Burke dynasty descended from an Anglo-Norman surnamed de Burgh (Latinised as de Burgo) who arrived in Ireland in 1185 following the Norman invasion of Ireland by Henry II of England in 1171.)
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Edmund F. Robertson
Edmund Frederick Robertson FRSE B.Sc M.Sc Ph.D., born on 1 June 1943, St Andrews, Scotland, is a Professor emeritus of pure mathematics at the University of St Andrews.
He is one of the creators of the noted MacTutor History of Mathematics Archive along with John J. O'Connor. He has written over one hundred research articles, mainly in the theory of groups and semigroups. He is the author or co-author of seventeen textbooks.
In 1998 he was elected a fellow of the Royal Society of Edinburgh.
He lives at home with his wife Helena, and his two sons Colin and David.
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Edmund Husserl
Edmund Gustav Albrecht Husserl (German pronunciation: [ˈhʊsɛʁl]; April 8, 1859, Proßnitz, Moravia, Austrian Empire – April 26, 1938, Freiburg, Germany) was a philosopher and mathematician and the founder of the 20th century philosophical school of phenomenology. He broke with the positivist orientation of the science and philosophy of his day, yet he elaborated critiques of historicism and of psychologism in logic. Not limited to empiricism, but believing that experience is the source of all knowledge, he worked on a method of phenomenological reduction by which a subject may come to know directly an essence.
Although born into a Jewish family, Husserl was baptized as a Lutheran in 1886. He studied mathematics under Karl Weierstrass and Leo Königsberger, and philosophy under Franz Brentano and Carl Stumpf. Husserl himself taught philosophy as a Privatdozent at Halle from 1887, then as professor, first at Göttingen from 1901, then at Freiburg from 1916 until he retired in 1928. Thereafter he gave two notable lectures: at Paris in 1929, and at Prague in 1935. The notorious 1933 race laws of the Nazi regime took away his academic standing and privileges. Following an illness, he died at Freiburg in 1938.
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Edward Gibbon
Edward Gibbon (27 April 1737 – 16 January 1794) was an English historian and Member of Parliament. His most important work, The History of the Decline and Fall of the Roman Empire, was published in six volumes between 1776 and 1788. The Decline and Fall is known for the quality and irony of its prose, its use of primary sources, and its open criticism of organized religion.
Edward Gibbon was born in 1737, the son of Edward and Judith Gibbon at Lime Grove, in the town of Putney, Surrey. He had six siblings: five brothers and one sister, all of whom died in infancy. His grandfather, also named Edward, had lost all of his assets as a result of the South Sea Bubble stock market collapse in 1720, but eventually regained much of his wealth, so that Gibbon's father was able to inherit a substantial estate.
As a youth, his health was under constant threat. He described himself as "a puny child, neglected by my Mother, starved by my nurse." At age nine, Gibbon was sent to Dr. Woddeson's school at Kingston upon Thames (now Kingston Grammar School), shortly after which his mother died. He then took up residence in the Westminster School boarding house, owned by his adored "Aunt Kitty," Catherine Porten. Soon after she died in 1786, he remembered her as rescuing him from his mother's disdain, and imparting "the first rudiments of knowledge, the first exercise of reason, and a taste for books which is still the pleasure and glory of my life." By 1751, Gibbon's reading was already extensive and certainly pointed toward his future pursuits: Laurence Echard's Roman History (1713), William Howel(l)'s An Institution of General History (1680–85), and several of the 65 volumes of the acclaimed Universal History from the Earliest Account of Time (1747–1768).
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Edward Sapir
Edward Sapir (/səˈpɪər/; 1884–1939) was an American anthropologist-linguist, widely considered to be one of the most important figures in the early development of the discipline of linguistics.
Born in German Pomerania, his parents emigrated to America when Sapir was a child. He studied Germanic linguistics at Columbia, where he came under the influence of Franz Boas who inspired him to work on Native American languages. While finishing his PhD he went to California to work with Alfred Kroeber documenting the indigenous languages there. He was employed by the Geological Survey of Canada for fifteen years, where he came into his own as one of the most influential and important linguists in North America. He was offered a professorship at the University of Chicago, and stayed for several years continuing to work for the professionalization of the discipline of linguistics. By the end of his life he was Professor of Anthropology at Yale, where he never really fit in. Among his many students were the linguists Mary Haas and Morris Swadesh, and anthropologists such as Fred Eggan and Hortense Powdermaker.
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Ernst Schröder
Ernst Schröder (25 November 1841, Mannheim, Baden, Germany – 16 June 1902, Karlsruhe, Germany) was a German mathematician mainly known for his work on algebraic logic. He is a major figure in the history of mathematical logic (a term he may have invented), by virtue of summarizing and extending the work of George Boole, Augustus De Morgan, Hugh MacColl, and especially Charles Peirce. He is best known for his monumental Vorlesungen über die Algebra der Logik (Lectures on the algebra of logic), in 3 volumes, which prepared the way for the emergence of mathematical logic as a separate discipline in the twentieth century by systematizing the various systems of formal logic of the day.
Schröder learned mathematics at Heidelberg, Königsberg, and Zürich, under Hesse, Kirchhoff, and Franz Neumann. After teaching school for a few years, he moved to the Technische Hochschule Darmstadt in 1874. Two years later, he took up a chair in mathematics at the Polytechnische Schule in Karlsruhe, where he spent the remainder of his life. He never married.
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Euler
Leonhard Euler (German pronunciation: [ˈɔʏlɐ], ( Swiss German pronunciation (help·info)) ( Standard German pronunciation (help·info)) English approximation, "Oiler"; 15 April 1707 – 18 September 1783) was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy.
Euler spent most of his adult life in St. Petersburg, Russia, and in Berlin, Prussia. He is considered to be the preeminent mathematician of the 18th century, and one of the greatest of all time. He is also one of the most prolific mathematicians ever; his collected works fill 60–80 quarto volumes. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all."
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Francisco Suárez
Francisco Suárez (5 January 1548 – 25 September 1617) was a Spanish Jesuit priest, philosopher and theologian, one of the leading figures of the School of Salamanca movement, and generally regarded among the greatest scholastics after Thomas Aquinas.
Francisco Suárez was born in Granada, Andalusia (southern Spain).
At age sixteen Suárez entered the Society of Jesus in Salamanca, and he studied Philosophy and Theology there for five years from 1565 to 1570. It seems he was not a promising student at first; in fact, he nearly gave up his matters of study after failing the entrance exam twice. After passing the exam at third attempt, though, things changed, and he completed his course of Philosophy with distinction, going on to study Theology, to then teach Philosophy in Ávila and Segovia. He was ordained in 1572, and taught Theology in Ávila, Segovia (1575), Valladolid (1576), Rome (1580–85), Alcalá (1585–92), Salamanca (1592–97), and Coimbra (1597–1616).
He wrote on a wide variety of subjects, producing a vast amount of work (his complete works in Latin amount to twenty-six volumes). Suárez writings include treatises on law, the relationship between Church and State, metaphysics, and theology. He is considered the godfather of International Law and his Disputationes metaphysicae were widely read in Europe during the seventeenth century and is considered by some scholars to be his most profound work.
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Frank J. Tipler
Frank Jennings Tipler (born February 1, 1947 in Andalusia, Alabama) is a mathematical physicist and cosmologist, holding a joint appointment in the Departments of Mathematics and Physics at Tulane University. Tipler has authored books and papers on the Omega Point, which he claims is a mechanism for the resurrection of the dead. It has been labeled as pseudoscience by some. Tipler is a fellow of the International Society for Complexity, Information, and Design, a society advocating intelligent design.
Tipler is the son of Frank Jennings Tipler Jr., a lawyer, and Anne Tipler, a homemaker. From 1965 through 1969, Tipler attended the Massachusetts Institute of Technology, where he completed a bachelor of science degree in physics. In 1976 he completed his PhD with the University of Maryland. Tipler was next hired in a series of postdoctoral researcher positions in physics at three universities, with the final one being at the University of Texas, working under John Archibald Wheeler, Abraham Taub, Rainer Sachs, and Dennis Sciama. Tipler became an Associate Professor in mathematical physics in 1981, and a full Professor in 1987 at Tulane University, where he has been a faculty member ever since.
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Franz Boas
Franz Boas (/ˈfrɑːnz ˈboʊ.æz/; July 9, 1858 – December 21, 1942) was a German-American anthropologist and a pioneer of modern anthropology who has been called the "Father of American Anthropology" and "the Father of Modern Anthropology." Like many such pioneers, he trained in other disciplines; he received his doctorate in physics, and did post-doctoral work in geography. He applied the scientific method to the study of human cultures and societies; previously this discipline was based on the formulation of grand theories around anecdotal knowledge.
Boas once summed up his approach to anthropology and folklore by saying: "In the course of time I became convinced that a materialistic point of view, for a physicist a very real one, was untenable. This gave me a new point of view and I recognized the importance of studying the interaction between the organic and inorganic, above all the relation between the life of a people and their physical environment."
Franz Uri Boas was born in Minden, Westphalia. Although his grandparents were observant Jews, his parents embraced Enlightenment values, including their assimilation into modern German society. Boas’s parents were educated, well-to-do, and liberal; they did not like dogma of any kind. Due to this, Boas was granted the independence to think for himself and pursue his own interests. Early in life he displayed a penchant for both nature and natural sciences. Boas vocally opposed anti-Semitism and refused to convert to Christianity, he did not identify himself as a Jew; indeed, according to his biographer, "He was an 'ethnic' German, preserving and promoting German culture and values in America." In an autobiographical sketch, Boas wrote:
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François Quesnay
François Quesnay (French pronunciation: [fʀɑ̃ˈswa kɛˈnɛ]; June 4, 1694 – December 16, 1774) was a French economist of the Physiocratic school. He is known for publishing the "Tableau économique" (Economic Table) in 1758, which provided the foundations of the ideas of the Physiocrats. This was perhaps the first work to attempt to describe the workings of the economy in an analytical way, and as such can be viewed as one of the first important contributions to economic thought.
Quesnay was born at Méré near Versailles, the son of an advocate and small landed proprietor. Apprenticed at the age of sixteen to a surgeon, he soon went to Paris, studied medicine and surgery there, and, having qualified as a master-surgeon, settled down to practice at Mantes. In 1737 he was appointed perpetual secretary of the academy of surgery founded by François Gigot de la Peyronie, and became surgeon in ordinary to the king. In 1744 he graduated as a doctor of medicine; he became physician in ordinary to the king, and afterwards his first consulting physician, and was installed in the Palace of Versailles. His apartments were on the entresol, whence the Réunions de l'entresol[clarification needed] received their name. Louis XV esteemed Quesnay highly, and used to call him his thinker; when he ennobled him he gave him for arms three flowers of the pansy (derived from pensée, in French meaning thought), with the Latin motto Propter cogitationem mentis.
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Friedrich Nietzsche
Friedrich Wilhelm Nietzsche ( /ˈniːtʃə/;German pronunciation: [ˈfʁiːdʁɪç ˈvɪlhɛlm ˈniːtsʃə]; October 15, 1844 – August 25, 1900) was a German philosopher, poet, cultural critic and classical philologist. He wrote critical texts on religion, morality, contemporary culture, philosophy and science, displaying a fondness for metaphor, irony and aphorism.
Nietzsche's influence remains substantial within and beyond philosophy, notably in existentialism, nihilism and postmodernism. His style and radical questioning of the value and objectivity of truth have resulted in much commentary and interpretation, mostly in the continental tradition. His key ideas include the death of God, the Übermensch, the eternal recurrence, the Apollonian and Dionysian dichotomy, perspectivism and the will to power. Central to his philosophy is the idea of "life-affirmation", which involves an honest questioning of all doctrines that drain life's expansive energies, however socially prevalent and radical those views might be.
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Friedrich Schiller
Johann Christoph Friedrich von Schiller [ˈjoːhan ˈkʁɪstɔf ˈfʁiːdʁɪç fɔn ˈʃɪlɐ] (10 November 1759 – 9 May 1805) was a German poet, philosopher, historian, and playwright. During the last seventeen years of his life (1788–1805), Schiller struck up a productive, if complicated, friendship with already famous and influential Johann Wolfgang von Goethe. They frequently discussed issues concerning aesthetics, and Schiller encouraged Goethe to finish works he left as sketches. This relationship and these discussions led to a period now referred to as Weimar Classicism. They also worked together on Xenien, a collection of short satirical poems in which both Schiller and Goethe challenge opponents to their philosophical vision.
Friedrich Schiller was born on 10 November 1759, in Marbach, Württemberg as the only son of military doctor Johann Kaspar Schiller (1733–96), and Elisabeth Dorothea Kodweiß (1732–1802). They also had five daughters. His father was away in the Seven Years' War when Friedrich was born. He was named after king Frederick the Great, but he was called Fritz by nearly everyone. Kaspar Schiller was rarely home during the war, but he did manage to visit the family once in a while. His wife and children also visited him occasionally wherever he happened to be stationed. When the war ended in 1763, Schiller's father became a recruiting officer and was stationed in Schwäbisch Gmünd. The family moved with him. Due to the high cost of living—especially the rent—the family moved to nearby Lorch.
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G. E. Moore
George Edward Moore OM, (4 November 1873 – 24 October 1958) was an English philosopher. He was, with Bertrand Russell, Ludwig Wittgenstein, and (before them) Gottlob Frege, one of the founders of the analytic tradition in philosophy. Along with Russell, he led the turn away from idealism in British philosophy, and became well known for his advocacy of common sense concepts, his contributions to ethics, epistemology, and metaphysics, and "his exceptional personality and moral character." He was Professor of Philosophy at the University of Cambridge, a highly influential member of the Bloomsbury Group, and the editor of the influential journal Mind.
Moore was educated at Dulwich College, and Trinity College, Cambridge, where he read Classics and Moral Sciences. He became a Fellow of Trinity in 1898, and went on to hold the University of Cambridge chair of mental philosophy and logic, from 1925 to 1939. He was the brother of the writer and engraver Thomas Sturge Moore.
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Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor ( /ˈkæntɔr/ KAN-tor; German: [ɡeˈɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantɔʁ]; March 3 [O.S. February 19] 1845 – January 6, 1918) was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are "more numerous" than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an "infinity of infinities". He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware.
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George Berkeley
George Berkeley ( /ˈbɑrkliː/; 12 March 1685 – 14 January 1753), also known as Bishop Berkeley (Bishop of Cloyne), was an Anglo-Irish philosopher whose primary achievement was the advancement of a theory he called "immaterialism" (later referred to as "subjective idealism" by others). This theory denies the existence of material substance and instead contends that familiar objects like tables and chairs are only ideas in the minds of perceivers, and as a result cannot exist without being perceived. Thus, as Berkeley famously put it, for physical objects "esse est percipi" ("to be is to be perceived"). Berkeley is also known for his critique of abstraction, an important premise in his argument for immaterialism.
In 1709, Berkeley published his first major work, An Essay towards a New Theory of Vision, in which he discussed the limitations of human vision and advanced the theory that the proper objects of sight are not material objects, but light and color. This foreshadowed his chief philosophical work A Treatise Concerning the Principles of Human Knowledge in 1710 which, after its poor reception, he rewrote in dialogue form and published under the title Three Dialogues between Hylas and Philonous in 1713.
In this book, Berkeley's views were represented by Philonous (Greek: 'lover of mind'), while Hylas (Greek: 'matter') embodies the Irish thinker’s opponents, in particular John Locke. Berkeley argued against Sir Isaac Newton's doctrine of absolute space, time and motion in De Motu (on Motion), published 1721. His arguments were a precursor to the views of Mach and Einstein. In 1732, he published Alciphron, a Christian apologetic against the free-thinkers, and in 1734, he published The Analyst, an empiricist critique of the foundations of infinitesimal calculus, which was influential in the development of mathematics.
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George Boole
George Boole ( /ˈbuːl/; 2 November 1815 – 8 December 1864) was an English-born mathematician and logician. His work was in the fields of differential equations and algebraic logic, and he is now best known as the author of The Laws of Thought. As the inventor of the prototype of what is now called Boolean logic, which became the basis of the modern digital computer, Boole is regarded in hindsight as a founder of the field of computer science. Boole said,
... no general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognise ... those universal laws of thought which are the basis of all reasoning ...
George Boole's father, John Boole (1779–1848), was a tradesman in Lincoln and gave him lessons. He had an elementary school education, but little further formal and academic teaching. William Brooke, a bookseller in Lincoln, may have helped him with Latin; which he may also have learned at the school of Thomas Bainbridge. He was self-taught in modern languages. At age 16 Boole took up a junior teaching position in Doncaster, at Heigham's School, being at this point the breadwinner for his parents and three younger siblings. He taught also in Liverpool, briefly.
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George Boolos
George Stephen Boolos (September 4, 1940, New York City – May 27, 1996) was a philosopher and a mathematical logician who taught at the Massachusetts Institute of Technology.
Boolos graduated from Princeton University in 1961 with an A.B. in mathematics. Oxford University awarded him the B.Phil in 1963. In 1966, he obtained the first Ph.D. in philosophy ever awarded by the Massachusetts Institute of Technology, under the direction of Hilary Putnam. After teaching three years at Columbia University, he returned to MIT in 1969, where he spent the rest of his career until his death from cancer.
A charismatic speaker well known for his clarity and wit, he once delivered a lecture (1994b) giving an account of Gödel's second incompleteness theorem, employing only words of one syllable. At the end of his viva, Hilary Putnam asked him, "And tell us, Mr. Boolos, what does the analytical hierarchy have to do with the real world?" Without hesitating Boolos replied, "It's part of it".
An expert on puzzles of all kinds, in 1993 Boolos reached the London Regional Final of The Times crossword competition. His score was one of the highest ever recorded by an American. He wrote a paper on "the hardest logic puzzle ever"—one of many puzzles created by Raymond Smullyan.
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Gerhard Gentzen
Gerhard Karl Erich Gentzen (November 24, 1909, Greifswald, Germany – August 4, 1945, Prague, Czechoslovakia) was a German mathematician and logician. He had his major contributions in the foundations of mathematics, proof theory, especially on natural deduction and sequent calculus. He died in 1945 after the Second World War, because he was deprived of food after being arrested in Prague.
Gentzen was a student of Paul Bernays at the University of Göttingen. Bernays was fired as "non-Aryan" in April 1933 and therefore Hermann Weyl formally acted as his supervisor. At great risk to his career Gentzen kept in contact with Bernays until the beginning of the Second World War. In November 1933, he joined the Sturmabteilung to pass the state exam for teachers.[citation needed] In 1935, he corresponded with Abraham Fraenkel from Jerusalem and was implicated by the Nazi teachers' union as one who "keeps contacts to the Chosen People." In 1935 and 1936, Hermann Weyl, head of the Göttingen mathematics department in 1933 until his resignation under Nazi pressure, made strong efforts to bring him to the Institute for Advanced Study in Princeton.
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Germanic languages
The Germanic languages constitute a sub-branch of the Indo-European (IE) language family. The common ancestor of all of the languages in this branch is called Proto-Germanic (also known as Common Germanic), which was spoken in approximately the mid-1st millennium BC in Iron Age northern Europe. Proto-Germanic, along with all of its descendants, is characterized by a number of unique linguistic features, most famously the consonant change known as Grimm's law. Early varieties of Germanic enter history with the Germanic peoples moving south from northern Europe in the 2nd century BC, to settle in north-central Europe.
The most widely spoken Germanic languages are English and German, with approximately 300–400 million and over 100 million native speakers respectively. They belong to the West Germanic family. The West Germanic group also includes other major languages, such as Dutch with 23 million and Afrikaans with over 6 million native speakers;. The North Germanic languages include Norwegian, Danish, Swedish, Icelandic, and Faroese, which have a combined total of about 20 million speakers. The SIL Ethnologue lists 53 different Germanic languages.
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Germans
The Germans (Deutsche) are a Germanic ethnic group native to Central Europe. The English term Germans has referred to the German-speaking population of the Holy Roman Empire since the Late Middle Ages. Legally, Germans are citizens of the Federal Republic of Germany.
Of approximately 100 million native speakers of German in the world, about 66–75 million consider themselves Germans. There are an additional 80 million people of German ancestry mainly in the United States, Brazil, Canada, Argentina, France, Russia, Chile, Poland, Australia and Romania who most likely are not native speakers of German. Thus, the total number of Germans worldwide lies between 66 and 160 million, depending on the criteria applied (native speakers, single-ancestry ethnic Germans, partial German ancestry, etc.).
Today, peoples from countries with a German-speaking majority or significant German-speaking population groups other than Germany, such as Austria, Switzerland, Liechtenstein and Luxembourg, have developed their own national identity and usually do not refer to themselves as "Germans" in a modern context.
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Gilbert Ryle
Gilbert Ryle (19 August 1900, Brighton – 6 October 1976, Oxford), was a British philosopher, a representative of the generation of British ordinary language philosophers that shared Wittgenstein's approach to philosophical problems, and is principally known for his critique of Cartesian dualism, for which he coined the phrase "the ghost in the machine". Some of his ideas in the philosophy of mind have been referred to as "behaviourist." Ryle's best known book is The Concept of Mind (1949), in which he writes that the "general trend of this book will undoubtedly, and harmlessly, be stigmatised as 'behaviourist'." Ryle, having engaged in detailed study of the key works of Bernard Bolzano, Franz Brentano, Alexius Meinong, Edmund Husserl, and Martin Heidegger, himself suggested instead that the book "could be described as a sustained essay in phenomenology, if you are at home with that label."
Ryle was born in Brighton, England in 1900 and grew up in an environment of learning. His father was a Brighton doctor, a generalist who had interests in philosophy and astronomy, and passed on to his children an impressive library. Ryle was educated at Brighton College, and in 1919, he went up to Queen's College at Oxford, initially to study Classics but was quickly drawn to Philosophy. He would graduate with first class honours in 1924 and was appointed to a lectureship in Philosophy at Christ Church, Oxford. A year later, he was to become a tutor. Ryle remained at Christ Church until World War II.
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Gilles Deleuze
Gilles Deleuze (French pronunciation: [ʒil dəløz]), (18 January 1925 – 4 November 1995) was a French philosopher who, from the early 1960s until his death, wrote influentially on philosophy, literature, film, and fine art. His most popular works were the two volumes of Capitalism and Schizophrenia: Anti-Oedipus (1972) and A Thousand Plateaus (1980), both co-written with Félix Guattari. His metaphysical treatise Difference and Repetition (1968) is considered by some scholars to be his magnum opus.
Deleuze was born into a middle-class family in Paris and lived there for most of his life. His initial schooling was undertaken during World War II, during which time he attended the Lycée Carnot. He also spent a year in khâgne at the Lycée Henri IV. During the Nazi occupation of France, Deleuze's older brother, Georges, was arrested for his participation in the French Resistance, and died while in transit to a concentration camp. In 1944, Deleuze went to study at the Sorbonne. His teachers there included several noted specialists in the history of philosophy, such as Georges Canguilhem, Jean Hyppolite, Ferdinand Alquié, and Maurice de Gandillac, and Deleuze's lifelong interest in the canonical figures of modern philosophy owed much to these teachers. Nonetheless, Deleuze also found the work of non-academic thinkers such as Jean-Paul Sartre strongly attractive. He agrégated in philosophy in 1948.
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Giordano Bruno
Giordano Bruno (1548 – February 17, 1600), (Latin: Iordanus Brunus Nolanus) born Filippo Bruno, was an Italian Dominican friar, philosopher, mathematician and astronomer. His cosmological theories went beyond the Copernican model in proposing that the Sun was essentially a star, and moreover, that the universe contained an infinite number of inhabited worlds populated by other intelligent beings. He was burned at the stake by civil authorities in 1600 after the Roman Inquisition found him guilty of heresy for his pantheism and turned him over to the state, which at that time considered heresy illegal. After his death he gained considerable fame, particularly among 19th- and early 20th-century commentators who, focusing on his astronomical beliefs, regarded him as a martyr for free thought and modern scientific ideas.
Some assessments suggest that Bruno's ideas about the universe played a smaller role in his trial than his pantheist beliefs, which differed from the interpretations and scope of God held by the Catholic Church. In addition to his cosmological writings, Bruno also wrote extensively on the art of memory, a loosely organized group of mnemonic techniques and principles. The work of Frances Yates, especially influential in anglophone scholarship, argues that Bruno was deeply influenced by the astronomy found in Arab astrology, Neoplatonism and Renaissance Hermeticism. Other recent studies of Bruno have focused on his qualitative approach to mathematics and his application of the spatial paradigms of geometry to language.
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Giovanni Gentile
Giovanni Gentile (Italian pronunciation: [dʒoˈvanni dʒenˈtiːle]; May 30, 1875 – April 15, 1944) was an Italian neo-Hegelian Idealist philosopher, a peer of Benedetto Croce. He described himself as 'the philosopher of Fascism', and ghostwrote A Doctrine of Fascism (1932) for Benito Mussolini. He also devised his own system of philosophy, Actual Idealism.
Giovanni Gentile was born in Castelvetrano, Sicily. He was inspired by Italian intellectuals such as Mazzini, Rosmini, Gioberti, and Spaventa from whom he borrowed the idea of autoctisi, “self-construction”, but also was strongly influenced by the German idealist and materialist schools of thought — namely Karl Marx, Hegel, and Fichte with whom he shared the ideal of creating a Wissenschaftslehre, theory for a structure of knowledge that makes no assumptions. Friedrich Nietzsche, too, influenced him, as seen in an analogy between Nietzsche's Übermensch and Gentile's Uomo Fascista.
He won the fierce competition and became one of the four exceptional students of the mythic Scuola Normale Superiore di Pisa, where he enrolled at the Faculty of Humanities.
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Giuseppe Peano
Giuseppe Peano (Italian pronunciation: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician, whose work was of philosophical value. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin.
Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the University of Turin in 1876, graduating in 1880 with high honours, after which the University employed him to assist first Enrico D'Ovidio, and then Angelo Genocchi, the Chair of Infinitesimal calculus. Due to Genocchi's poor health, Peano took over the teaching of the infinitesimal calculus course within 2 years. His first major work, a textbook on calculus, was published in 1884 and was credited to Genocchi. A few years later, Peano published his first book dealing with mathematical logic. Here the modern symbols for the union and intersection of sets appeared for the first time.
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Gottlob Frege
Friedrich Ludwig Gottlob Frege (8 November 1848 – 26 July 1925, pronounced [ˈɡɔtloːp ˈfreːɡə ]) was a German mathematician, logician and philosopher. He is considered to be one of the founders of modern logic and made major contributions to the foundations of mathematics. He is generally considered to be the father of analytic philosophy, for his writings on the philosophy of language and mathematics. While he was mainly ignored by the intellectual world when he published his writings, Giuseppe Peano (1858–1932) and Bertrand Russell (1872–1970) introduced his work to later generations of logicians and philosophers.
Frege was born in 1848 in Wismar, in the state of Mecklenburg-Schwerin (the modern German federal state Mecklenburg-Vorpommern). His father Carl (Karl) Alexander Frege (3 August 1809 – 30 November 1866) was the co-founder and headmaster of a girls' high school until his death. After Carl's death, the school was led by Frege's mother Auguste Wilhelmine Sophie Frege (née Bialloblotzky, 12 January 1815 – 14 October 1898).
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Grotius
Hugo Grotius (10 April 1583 – 28 August 1645), also known as Huig de Groot, Hugo Grocio or Hugo de Groot, was a jurist in the Dutch Republic. With Francisco de Vitoria and Alberico Gentili he laid the foundations for international law, based on natural law. He was also a philosopher, theologian, Christian apologist, playwright, and poet.
Grotius's influence on international law is paramount, and is acknowledged by, for instance, the American Society of International Law, which since 1999 holds an annual series of Grotius Lectures. Additionally, his contributions to Arminian theology provided the seeds for later Arminian-based movements, such as Methodism and Pentecostalism and he is acknowledged as a significant figure in the Arminianism-Calvinism debate.
Born in Delft during the Dutch Revolt, Hugo was the first child of Jan de Groot and Alida van Overschie. His father was a man of learning, once having studied with the eminent Justus Lipsius at Leiden, as well as of political distinction, and he groomed his son from an early age in a traditional humanist and Aristotelian education. A prodigious learner, Hugo entered the University of Leiden when he was just eleven years old. There he studied with some of the most acclaimed intellectuals in northern Europe, including Franciscus Junius, Joseph Justus Scaliger, and Rudolph Snellius. At age sixteen he published his first book: a scholarly edition of the late antique author Martianus Capella's work on the seven liberal arts, Martiani Minei Felicis Capellæ Carthaginiensis viri proconsularis Satyricon, in quo De nuptiis Philologiæ & Mercurij libri duo, & De septem artibus liberalibus libri singulares. Omnes, & emendati, & Notis, siue Februis Hug. Grotii illustrati.
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Gustav Bergmann
Gustav Bergmann (May 4, 1906, Vienna – April 21, 1987, Iowa City) was a philosopher born in Vienna, Austria. He studied at the University of Vienna and was a member of the Vienna Circle. In the United States, he was a professor of philosophy and psychology at the University of Iowa.
Bergmann earned his Ph.D. in mathematics at the University of Vienna in 1928. While studying for his doctorate, he was invited to join the Vienna Circle, a group of philosophers, mathematicians, scientists, and others committed to a scientific worldview under the name of logical positivism. In 1930-31, he worked with Albert Einstein in Berlin. Unable as a Jew to find academic employment, Bergmann obtained a law degree from the University of Vienna in 1935, and practiced corporation law until he and his family fled to the United States in 1938. Settling at the University of Iowa in Iowa City in 1939, Bergmann eventually became professor of both philosophy and psychology.
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Guy Debord
Guy Ernest Debord (December 28, 1931 – November 30, 1994) was a French Marxist theorist, writer, filmmaker, member of the Letterist International, founder of a Letterist faction, and founding member of the Situationist International (SI). He was also briefly a member of Socialisme ou Barbarie.
Guy Debord was born in Paris in 1931. Guy's father, Martial, was a pharmacist who died due to illness when Guy was young. Guy's mother, Paulette Rossi, sent Guy to live with his grandmother in her family villa in Italy. During World War II, the Rossis left the villa and began to travel from town to town. As a result, Guy attended high school in Cannes, where he began his interest in film and vandalism. As a young man, Debord actively opposed the French war in Algeria and joined in demonstrations in Paris against it.
Debord joined the Letterist International when he was 19. The Letterists were led dictatorially by Isidore Isou until a widely agreed upon schism ended Isou's authority. This schism birthed several factions of Letterists, one of which was decidedly led by Debord upon Gil Wolman's unequivocal recommendation. In the 1960s, Debord led the Situationist International group, which influenced the Paris Uprising of 1968. Some consider his book The Society of the Spectacle (1967) to be a catalyst for the uprising.
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Hans-Georg Gadamer
Hans-Georg Gadamer (German pronunciation: [ˈɡaːdamɐ]; February 11, 1900 – March 13, 2002) was a German philosopher of the continental tradition, best known for his 1960 magnum opus, Truth and Method (Wahrheit und Methode).
Gadamer was born in Marburg, Germany, as the son of Johannes Gadamer (1867–1928) a pharmaceutical chemistry professor who later also served as the rector of the university there. He resisted his father's urging to take up the natural sciences and became more and more interested in the humanities. His mother, Emma Karoline Johanna Geiese (1869–1904) died of diabetes while Hans-Georg was four years old, and he later noted that this may have had an effect on his decision to not pursue scientific study; Jean Grondin describes Gadamer as finding in his mother "a poetic and almost religious counterpart to the iron fist of his father". Gadamer did not serve during World War I for reasons of ill-health and similarly was exempted from serving during World War II due to polio.
He grew up and studied philosophy in Breslau under Richard Hönigswald, but soon moved back to Marburg to study with the Neo-Kantian philosophers Paul Natorp and Nicolai Hartmann. He defended his dissertation in 1922.
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Haskell Curry
Haskell Brooks Curry (September 12, 1900 – September 1, 1982) was an American mathematician and logician. Curry is best known for his work in combinatory logic; while the initial concept of combinatory logic was based on a single paper by Moses Schönfinkel, much of the development was done by Curry. Curry is also known for Curry's paradox and the Curry–Howard correspondence. There are three programming languages named after him, Haskell, Brooks and Curry, as well as the concept of currying, a technique used for transforming functions in mathematics and computer science.
Curry was born on September 12, 1900, in Millis, Massachusetts, to Samuel Silas Curry and Anna Baright Curry, who ran a school for elocution. He entered Harvard University in 1916 to study medicine but switched to mathematics before graduating in 1920. After two years of graduate work in electrical engineering at MIT, he returned to Harvard to study physics, earning a MA in 1924. Curry's interest in mathematical logic started during this period when he was introduced to the Principia Mathematica, the attempt by Alfred North Whitehead and Bertrand Russell to ground mathematics in symbolic logic. Remaining at Harvard, Curry pursued a Ph.D. in mathematics. While he was directed by George Birkhoff to work on differential equations, his interests continued to shift to logic. In 1927, while an instructor at Princeton University, he discovered the work of Moses Schönfinkel in combinatory logic. Schönfinkel's work had anticipated much of Curry's own research, and as a consequence, he moved to Göttingen where he could work with Heinrich Behmann and Paul Bernays, who were familiar with Schönfinkel's work. Curry was supervised by David Hilbert and worked closely with Bernays, receiving a Ph.D. in 1930 with a dissertation on combinatory logic.
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Henri Bergson
Henri-Louis Bergson (French pronunciation: [bɛʁksɔn] 18 October 1859 – 4 January 1941) was a major French philosopher, influential especially in the first half of the 20th century. Bergson convinced many thinkers that immediate experience and intuition are more significant than rationalism and science for understanding reality.
He was awarded the 1927 Nobel Prize in Literature "in recognition of his rich and vitalizing ideas and the brilliant skill with which they have been presented".
Bergson was born in the Rue Lamartine in Paris, not far from the Palais Garnier (the old Paris opera house) in 1859 (the year in which France emerged as a victor in the Second Italian War of Independence, and in the month before the publication of Charles Darwin's On the Origin of Species). His father, the pianist Michał Bergson, was of a Polish Jewish family background (originally bearing the name Bereksohn). His mother, Katherine Levison, daughter of a Yorkshire doctor, was from an English and Irish Jewish background. The Bereksohns were a famous[citation needed] Jewish entrepreneurial family of Polish descent. Henri Bergson's great-great-grandfather, Szmul Jakubowicz Sonnenberg, called Zbytkower, was a prominent banker and a protégé of Stanisław August Poniatowski, King of Poland from 1764 to 1795.
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Henry David Thoreau
Henry David Thoreau (July 12, 1817 – May 6, 1862) was an American author, poet, philosopher, abolitionist, naturalist, tax resister, development critic, surveyor, historian, and leading transcendentalist. He is best known for his book Walden, a reflection upon simple living in natural surroundings, and his essay Civil Disobedience, an argument for individual resistance to civil government in moral opposition to an unjust state.
Thoreau's books, articles, essays, journals, and poetry total over 20 volumes. Among his lasting contributions were his writings on natural history and philosophy, where he anticipated the methods and findings of ecology and environmental history, two sources of modern day environmentalism. His literary style interweaves close natural observation, personal experience, pointed rhetoric, symbolic meanings, and historical lore, while displaying a poetic sensibility, philosophical austerity, and "Yankee" love of practical detail. He was also deeply interested in the idea of survival in the face of hostile elements, historical change, and natural decay; at the same time he advocated abandoning waste and illusion in order to discover life's true essential needs.
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Henry Oldenburg
Henry Oldenburg (Heinrich) (c. 1619 – 5 September 1677) was a German theologian known as a diplomat and a natural philosopher. He was one of the foremost intelligencers of Europe of the seventeenth century, with a network of correspondents to rival those of Fabri de Peiresc, Marin Mersenne and Ismaël Boulliau. At the foundation of the Royal Society he took on the task of foreign correspondence, as the first Secretary.
Born in Bremen, Germany, he trained in theology and received his degree on 2 November 1639. His movements during the 1640s are unclear, but he is thought to have worked as a tutor in England for much of the decade. In 1648 he left England and travelled, returning in the end to Bremen.
He came to London in 1653, as a diplomat; and settled in England of the Interregnum. He forged a strong relationship with his lifelong patron Robert Boyle, and was tutor to his nephew Richard Jones. Either through John Milton, whom he met early in his mission, or through Lady Ranelagh, sister to Boyle and the mother of Richard Jones, Oldenburg gained entry to an important intellectual circle, including Samuel Hartlib, whose extensive web of correspondents Oldenburg was to take over, John Dury who became his father-in-law, and others such as William Petty.
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Herbert Spencer
Herbert Spencer (27 April 1820 – 8 December 1903) was an English philosopher, biologist, sociologist, and prominent classical liberal political theorist of the Victorian era.
Spencer developed an all-embracing conception of evolution as the progressive development of the physical world, biological organisms, the human mind, and human culture and societies. He was "an enthusiastic exponent of evolution" and even "wrote about evolution before Darwin did." As a polymath, he contributed to a wide range of subjects, including ethics, religion, anthropology, economics, political theory, philosophy, biology, sociology, and psychology. During his lifetime he achieved tremendous authority, mainly in English-speaking academia. "The only other English philosopher to have achieved anything like such widespread popularity was Bertrand Russell, and that was in the 20th century." Spencer was "the single most famous European intellectual in the closing decades of the nineteenth century" but his influence declined sharply after 1900; "Who now reads Spencer?" asked Talcott Parsons in 1937.
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Hilary Putnam
Hilary Whitehall Putnam (born July 31, 1926) is an American philosopher, mathematician and computer scientist, who has been a central figure in analytic philosophy since the 1960s, especially in philosophy of mind, philosophy of language, philosophy of mathematics, and philosophy of science. He is known for his willingness to apply an equal degree of scrutiny to his own philosophical positions as to those of others, subjecting each position to rigorous analysis until he exposes its flaws. As a result, he has acquired a reputation for frequently changing his own position. Putnam is currently Cogan University Professor Emeritus at Harvard University.
In philosophy of mind, Putnam is known for his argument against the type-identity of mental and physical states based on his hypothesis of the multiple realizability of the mental, and for the concept of functionalism, an influential theory regarding the mind-body problem. In philosophy of language, along with Saul Kripke and others, he developed the causal theory of reference, and formulated an original theory of meaning, inventing the notion of semantic externalism based on a famous thought experiment called Twin Earth.
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Hobbes
Thomas Hobbes of Malmesbury (5 April 1588 – 4 December 1679), in some older texts Thomas Hobbs of Malmsbury, was an English philosopher, best known today for his work on political philosophy. His 1651 book Leviathan established the foundation for most of Western political philosophy from the perspective of social contract theory.
Hobbes was a champion of absolutism for the sovereign but he also developed some of the fundamentals of European liberal thought: the right of the individual; the natural equality of all men; the artificial character of the political order (which led to the later distinction between civil society and the state); the view that all legitimate political power must be "representative" and based on the consent of the people; and a liberal interpretation of law which leaves people free to do whatever the law does not explicitly forbid.
He was one of the founders of modern political philosophy. His understanding of humans as being matter and motion, obeying the same physical laws as other matter and motion, remains influential; and his account of human nature as self-interested cooperation, and of political communities as being based upon a "social contract" remains one of the major topics of political philosophy.
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Hugo Grotius
Hugo Grotius (10 April 1583 – 28 August 1645), also known as Huig de Groot, Hugo Grocio or Hugo de Groot, was a jurist in the Dutch Republic. With Francisco de Vitoria and Alberico Gentili he laid the foundations for international law, based on natural law. He was also a philosopher, theologian, Christian apologist, playwright, and poet.
Grotius's influence on international law is paramount, and is acknowledged by, for instance, the American Society of International Law, which since 1999 holds an annual series of Grotius Lectures. Additionally, his contributions to Arminian theology provided the seeds for later Arminian-based movements, such as Methodism and Pentecostalism and he is acknowledged as a significant figure in the Arminianism-Calvinism debate.
Born in Delft during the Dutch Revolt, Hugo was the first child of Jan de Groot and Alida van Overschie. His father was a man of learning, once having studied with the eminent Justus Lipsius at Leiden, as well as of political distinction, and he groomed his son from an early age in a traditional humanist and Aristotelian education. A prodigious learner, Hugo entered the University of Leiden when he was just eleven years old. There he studied with some of the most acclaimed intellectuals in northern Europe, including Franciscus Junius, Joseph Justus Scaliger, and Rudolph Snellius. At age sixteen he published his first book: a scholarly edition of the late antique author Martianus Capella's work on the seven liberal arts, Martiani Minei Felicis Capellæ Carthaginiensis viri proconsularis Satyricon, in quo De nuptiis Philologiæ & Mercurij libri duo, & De septem artibus liberalibus libri singulares. Omnes, & emendati, & Notis, siue Februis Hug. Grotii illustrati.
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Ibn Khaldun
Ibn Khaldūn or Ibn Khaldoun (full name, Arabic: أبو زيد عبد الرحمن بن محمد بن خلدون الحضرمي , Abū Zayd ‘Abdu r-Raḥmān bin Muḥammad bin Khaldūn Al-Ḥaḍrami, May 27, 1332 AD/732 AH – March 19, 1406 AD/808 AH) was a Muslim historiographer and historian who is often viewed as one of the forerunners of modern historiography,sociology and economics.
He is best known for his Muqaddimah (known as Prolegomenon in English), which was discovered, evaluated and fully appreciated first by 19th century European scholarship, although it has also had considerable influence on 17th-century Ottoman historians like Ḥajjī Khalīfa and Mustafa Naima who relied on his theories to analyze the growth and decline of the Ottoman empire. Later in the 19th century, Western scholars recognized him as one of the greatest philosophers to come out of the Muslim world.
Ibn Khaldun's life is relatively well-documented, as he wrote an autobiography (التعريف بابن خلدون ورحلته غربا وشرقا; Al-Taʻrīf bi Ibn-Khaldūn wa Riħlatuhu Gharbān wa Sharqān) in which numerous documents regarding his life are quoted word-for-word. However, the autobiography has little to say about his private life, so little is known about his family background. Generally known as "Ibn Khaldūn" after a remote ancestor, he was born in Tunis in AD 1332 (732 A.H.) into an upper-class Andalusian family, the Banū Khaldūn. His family, which held many high offices in Andalusia, had emigrated to Tunisia after the fall of Seville to Reconquista forces around the middle of the 13th century. Under the Tunisian Hafsid dynasty some of his family held political office; Ibn Khaldūn's father and grandfather however withdrew from political life and joined a mystical order. His brother, Yahya Ibn Khaldun, was also a historian who wrote a book on the Abdalwadid dynasty, and who was assassinated by a rival for being the official historiographer of the court.
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Immanuel Kant
Immanuel Kant (German pronunciation: [ɪˈmaːnu̯eːl ˈkant]; 22 April 1724 – 12 February 1804) was a German philosopher from Königsberg (today Kaliningrad of Russia), who researched, lectured, and wrote on philosophy and anthropology during the Enlightenment at the end of the 18th century. At the time, there were major successes and advances in the sciences (for example, Isaac Newton, Carl Friedrich Gauss, and Robert Boyle) applying reason and logic.
Kant’s major work, the Critique of Pure Reason (Kritik der reinen Vernunft, 1781), aimed to unite reason with experience to move beyond what he took to be failures of traditional philosophy and metaphysics. He hoped to end an age of speculation where objects outside experience were used to support what he saw as futile theories, while opposing the skepticism of thinkers such as Descartes, Berkeley and Hume.
He stated:
Kant proposed a ‘Copernican Revolution’ in reverse, saying that:
Kant published other important works on ethics, religion, law, aesthetics, astronomy, and history. These included the Critique of Practical Reason (Kritik der praktischen Vernunft, 1788) and the Metaphysics of Morals (Die Metaphysik der Sitten, 1797), which dealt with ethics. And the Critique of Judgment (Kritik der Urteilskraft, 1790), which looks at aesthetics and teleology. He aimed to resolve disputes between empirical and rationalist approaches. The former asserted that all knowledge comes through experience; the latter maintained that reason and innate ideas were prior. Kant argued that experience is purely subjective without first being processed by pure reason. He also said that using reason without applying it to experience only leads to theoretical illusions. The free and proper exercise of reason by the individual was both a theme of the Enlightenment, and of Kant's approaches to the various problems of philosophy.
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Isaac Newton
Sir Isaac Newton PRS MP (25 December 1642 – 20 March 1727 [NS: 4 January 1643 – 31 March 1727]) was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived." His monograph Philosophiæ Naturalis Principia Mathematica, published in 1687, lays the foundations for most of classical mechanics. In this work, Newton described universal gravitation and the three laws of motion, which dominated the scientific view of the physical universe for the next three centuries. Newton showed that the motions of objects on Earth and of celestial bodies are governed by the same set of natural laws, by demonstrating the consistency between Kepler's laws of planetary motion and his theory of gravitation, thus removing the last doubts about heliocentrism and advancing the Scientific Revolution.
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Isaiah Berlin
Sir Isaiah Berlin OM, FBA (6 June 1909 – 5 November 1997) was a British social and political theorist, philosopher and historian of ideas of Russian-Jewish origin, thought by many to be the dominant scholar of his generation. He excelled as an essayist, conversationalist and raconteur; and as a brilliant lecturer who improvised, rapidly and spontaneously, richly allusive and coherently structured material. He translated works by Ivan Turgenev from Russian into English and, during the war, worked for the British Diplomatic Service. In its obituary of the scholar, The Independent stated that "Isaiah Berlin was often described, especially in his old age, by means of superlatives: the world's greatest talker, the century's most inspired reader, one of the finest minds of our time ... there is no doubt that he showed in more than one direction the unexpectedly large possibilities open to us at the top end of the range of human potential".
In 1932, at the age of 23, he was elected to a prize fellowship at All Souls College, Oxford. From 1957 to 1967, he was Chichele Professor of Social and Political Theory at the University of Oxford. He was president of the Aristotelian Society from 1963 to 1964. In 1966, he played a crucial role in founding Wolfson College, Oxford, and became its first President. He was knighted in 1957, and was awarded the Order of Merit in 1971. He was President of the British Academy from 1974 to 1978. He also received the 1979 Jerusalem Prize for his writings on individual freedom. The annual Isaiah Berlin Lectures are held at the Hampstead Synagogue and both Wolfson College and the British Academy each summer. Berlin's work on liberal theory and on value pluralism has had a lasting influence.
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J. L. Austin
John Langshaw Austin (26 March 1911, Lancaster– 8 February 1960, Oxford) was a British philosopher of language, notable as author of the revolutionary idea claiming that speech is not only passively describing a given reality, but it can change the (social) reality it is describing through speech acts, which for linguistics was as revolutionary a discovery as the discovery that measurement itself can change the measured reality was for physics.
The second son of Geoffrey Langshaw Austin (1884–1971), an architect, and his wife Mary Bowes-Wilson (1883–1948), Austin was born in Lancaster. In 1922 the family moved to Scotland, where Austin's father became the secretary of St Leonard's School, St Andrews.
Austin was educated at Shrewsbury School and Balliol College, Oxford, holding classical scholarships at both.
He arrived at Oxford in 1929 to read Literae Humaniores ('Greats'), and in 1931 gained a First in classical moderations and also won the Gaisford Prize for Greek prose. Greats introduced him to serious philosophy and gave him a life-long interest in Aristotle. In 1933, he got first class honours in his Finals.
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Jacob Freudenthal
Jacob Freudenthal (born June 20, 1839, at Bodenfelde, province of Hanover, Prussia -1907) was a German philosopher.
Freudenthal received his education at the universities of Breslau and Göttingen, and at the rabbinical seminary of Breslau. After graduating from the University of Göttingen (1863) he became teacher of the Samson school in Wolfenbüttel (1863–64), whence be removed to Breslau as teacher in the rabbinical seminary there, a position which he resigned in 1888. In 1875 he became lecturer in philosophy at the University of Breslau; in 1878 he was elected assistant professor, in 1888 professor, of philosophy. He was a member of the senate of the university in 1894-96, and dean of the philosophical faculty in 1898-99. The Prussian Academy of Science sent him to England in 1888 to study English philosophy, and in 1898 to the Netherlands to research the life of Spinoza.
The results of these voyages were his "Beiträge zur Englischen Philosophie", in the "Archiv für Geschichte der Philosophie" (iv. 450 et seq., v. 1 et seq.), and "Die Lebensgeschichte Spinoza's", Leipzig, 1899.
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Jacques Derrida
Jacques Derrida ( /ʒɑːk ˈdɛrɨdə/; French pronunciation: [ʒak dɛʁida]; July 15, 1930 – October 9, 2004) was a French philosopher, born in French Algeria. He developed the critical theory known as deconstruction and his work has been labeled as post-structuralism and associated with postmodern philosophy.
His more than 40 published books, together with essays and public speaking, has had a significant impact upon the humanities, particularly on Anthropology, Sociology, Semiotics, Jurisprudence, Literary Theory and Cultural Studies in general. His influence in the academe in Continental Europe, South America and all countries where continental philosophy is predominant, is enormous; becoming crucial in debates around Ontology, Epistemology (especially concerning Social Sciences), Ethics, Esthetics, Hermeneutics and Philosophy of Language.
His work also influenced architecture (in the form of deconstructivism), music and plastic arts. and art critics. Particularly in his later writings, he frequently addressed ethical and political themes, and his work influenced various activist and other political movements.
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James Boswell
James Boswell, 9th Laird of Auchinleck (29 October 1740 – 19 May 1795) was a lawyer, diarist, and author born in Edinburgh, Scotland; he is best known for the biography he wrote of one of his contemporaries, the English literary figure Samuel Johnson, which contemporary Johnsonian critic Harold Bloom has claimed is the greatest biography written in the English language.
Boswell's surname has passed into the English language as a term (Boswell, Boswellian, Boswellism) for a constant companion and observer, especially one who records those observations in print. In A Scandal in Bohemia, Sir Arthur Conan Doyle's character Sherlock Holmes affectionately says of Dr. Watson, who narrates the tales, "I am lost without my Boswell."
Boswell was born near St Giles' Cathedral in Edinburgh on 29 October 1740. He was the eldest son of a judge, Alexander Boswell, Lord Auchinleck and his wife Euphemia Erskine; he inherited his father’s estate Auchinleck in Ayrshire. Boswell's mother was a strict Calvinist, and he felt that his father was cold to him. As a child, he was delicate and suffered from some type of nervous ailment which appeared to be inherent and would afflict him sporadically all through his life. At the age of five, he was sent to James Mundell's academy, an advanced institution by the standards of the time, where he was instructed in English, Latin, writing and arithmetic. Boswell was unhappy there, and his sickliness began to manifest itself in the physical indicants associated with night fears and extreme shyness.
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James Madison
James Madison, Jr. (March 16, 1751 (O.S. March 5) – June 28, 1836) was an American statesman and political theorist, the fourth President of the United States (1809–1817). He is hailed as the “Father of the Constitution” for being instrumental in the drafting of the United States Constitution and as the key champion and author of the United States Bill of Rights. He served as a politician much of his adult life. Like other Virginia statesmen in the slave society, he was a slaveholder and part of the élite; he inherited his plantation known as Montpelier, and owned hundreds of slaves during his lifetime to cultivate tobacco and other crops.
After the constitution had been drafted, Madison became one of the leaders in the movement to ratify it. His collaboration with Alexander Hamilton and John Jay produced the Federalist Papers (1788). Circulated only in New York at the time, they would later be considered among the most important polemics in support of the Constitution. He was also a delegate to the Virginia constitutional ratifying convention, and was instrumental to the successful ratification effort in Virginia. Like most of his contemporaries, Madison changed his political views during his life. During the drafting and ratification of the constitution, he favored a strong national government, though later he grew to favor stronger state governments, before settling between the two extremes late in his life.
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Jean Baudrillard
Jean Baudrillard (27 July 1929 – 6 March 2007) (French pronunciation: [ʒɑ̃ bodʁijaʁ]) was a French sociologist, philosopher, cultural theorist, political commentator, and photographer. His work is frequently associated with postmodernism and specifically post-structuralism.
Baudrillard was born in Reims, northeastern France, on July 27, 1929. He told interviewers that his grandparents were peasants and his parents were civil servants. During his high school studies at the Reims Lycée, he came into contact with pataphysics (via the philosophy professor Emmanuel Peillet), which is said to be crucial for understanding Baudrillard's later thought. He became the first of his family to attend university when he moved to Paris to attend Sorbonne University. There he studied German language and literature, which led to him to begin teaching the subject at several different lycées, both Parisian and provincial, from 1960 until 1966. While teaching, Baudrillard began to publish reviews of literature and translated the works of such authors as Peter Weiss, Bertolt Brecht, Karl Marx, Friedrich Engels, and Wilhelm Emil Mühlmann.
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Jean-Paul Sartre
Jean-Paul Charles Aymard Sartre (/ˈsɑːtrə/; French pronunciation: [saʁtʁ]; 21 June 1905 – 15 April 1980) was a French existentialist philosopher, playwright, novelist, screenwriter, political activist, biographer, and literary critic. He was one of the key figures in the philosophy of existentialism, and one of the leading figures in 20th century French philosophy and Marxism. His work, in addition to being influential to existentialism and Marxism, has also influenced sociology, critical theory, and literary studies, and continues to influence these disciplines. Sartre has also been noted for his relationship with the prominent feminist theorist Simone de Beauvoir.
He was awarded the 1964 Nobel Prize in Literature but refused it, saying that he always declined official honours and that, "a writer should not allow himself to be turned into an institution."
Jean-Paul Sartre was born in Paris as the only child of Jean-Baptiste Sartre, an officer of the French Navy, and Anne-Marie Schweitzer. His mother was of Alsatian origin and the first cousin of Nobel Prize laureate Albert Schweitzer. (Her father, Charles Schweitzer, was the older brother of Albert Schweitzer's father, Louis Théophile.) When Sartre was only a year old, his father died of a fever. Anne-Marie moved back to her parents' house in Meudon, where she raised Sartre with help from her father, a professor of German, who taught Sartre mathematics and introduced him to classical literature at a very early age. When he was twelve, Satre's mother remarried, and the family moved to La Rochelle, where he was frequently bullied.
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Jeremy Bentham
Jeremy Bentham ( /ˈbɛnθəm/; 15 February 1748 – 6 June 1832) was an English author, jurist, philosopher, and legal and social reformer. He became a leading theorist in Anglo-American philosophy of law, and a political radical whose ideas influenced the development of welfarism. He is best known for his advocacy of utilitarianism and animal rights, and the idea of the panopticon.
His position included arguments in favour of individual and economic freedom, usury, the separation of church and state, freedom of expression, equal rights for women, the right to divorce, and the decriminalising of homosexual acts. He argued for the abolition of slavery and the death penalty and for the abolition of physical punishment, including that of children. Although strongly in favour of the extension of individual legal rights, he opposed the idea of natural law and natural rights, calling them "nonsense upon stilts."
He has come to be considered the founding figure of modern utilitarianism, through his own work and that of his students. These included his secretary and collaborator on the utilitarian school of philosophy, James Mill; James Mill's son John Stuart Mill; John Austin, legal philosopher; and several political leaders, including Robert Owen, a founder of modern socialism. He has been described as the "spiritual founder" of University College London (UCL), though he played little direct part in its foundation.
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Johannes Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg ( /joʊˌhɑːnɨs ˈɡuːtənbɜrɡ/ yoh-HAH-nəs GOO-tən-burɡ; c. 1398 – February 3, 1468) was a German blacksmith, goldsmith, printer, and publisher who introduced printing to Europe. His invention of mechanical movable type printing started the Printing Revolution and is widely regarded as the most important event of the modern period. It played a key role in the development of the Renaissance, Reformation, the Age of Enlightenment and the Scientific Revolution and laid the material basis for the modern knowledge-based economy and the spread of learning to the masses.
Gutenberg was the first European to use movable type printing, in around 1439. Among his many contributions to printing are: the invention of a process for mass-producing movable type; the use of oil-based ink; and the use of a wooden printing press similar to the agricultural screw presses of the period. His truly epochal invention was the combination of these elements into a practical system which allowed the mass production of printed books and was economically viable for printers and readers alike. Gutenberg's method for making type is traditionally considered to have included a type metal alloy and a hand mould for casting type.
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John Keill
John Keill (1 December 1671 – 31 August 1721) was born in Edinburgh, Scotland, and was primarily a mathematician and important disciple of Isaac Newton. He studied at Edinburgh University, under David Gregory, and obtained his bachelors degree in 1692 with a distinction in physics and mathematics. Keill then attended Balliol College, Oxford obtaining an MA on 2 February 1694.
Keill claimed that Leibniz plagiarized Newton's invention of calculus and he served as Newton's chief defender. However, Newton himself eventually grew tired of Keill as he stirred up too much trouble.
In 1715, Keill published a book on trigonometry and logarithms, Euclides Elementorum Libri Priores Sex. He also wrote on forces between particles and on theories of the origin of the universe. His lectures were published in Leiden, 1725, in a book called Introductio ad Veram Astronomiam.
In 1717, he married Mary Clements, a woman 25 years his junior. The marriage created great scandal at the time as she was from a lower class.
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John Locke
John Locke FRS ( /ˈlɒk/; 29 August 1632 – 28 October 1704), widely known as the Father of Classical Liberalism, was an English philosopher and physician regarded as one of the most influential of Enlightenment thinkers. Considered one of the first of the British empiricists, following the tradition of Francis Bacon, he is equally important to social contract theory. His work had a great impact upon the development of epistemology and political philosophy. His writings influenced Voltaire and Rousseau, many Scottish Enlightenment thinkers, as well as the American revolutionaries. His contributions to classical republicanism and liberal theory are reflected in the United States Declaration of Independence.
Locke's theory of mind is often cited as the origin of modern conceptions of identity and the self, figuring prominently in the work of later philosophers such as Hume, Rousseau and Kant. Locke was the first to define the self through a continuity of consciousness. He postulated that the mind was a blank slate or tabula rasa. Contrary to pre-existing Cartesian philosophy, he maintained that we are born without innate ideas, and that knowledge is instead determined only by experience derived from sense perception.
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John Rawls
John Bordley Rawls (February 21, 1921 - November 24, 2002) was an American philosopher and a leading figure in moral and political philosophy. He held the James Bryant Conant University Professorship at Harvard University.
His magnum opus, A Theory of Justice (1971), was hailed at the time of its publication as "the most important work in moral philosophy since the end of World War II," and is now regarded as "one of the primary texts in political philosophy." His work in political philosophy, dubbed Rawlsianism, takes as its starting point the argument that "most reasonable principles of justice are those everyone would accept and agree to from a fair position." Rawls employs a number of thought experiments — including the famous veil of ignorance — to determine what constitutes a fair agreement in which "everyone is impartially situated as equals," in order to determine principles of social justice. He is one of the major thinkers in the tradition of liberal political philosophy.[citation needed] English philosopher Jonathan Wolff argues that "while there might be a dispute about the second most important political philosopher of the 20th century, there could be no dispute about the most important: John Rawls. His student Samuel Freeman says that Rawls’s work will be recognized 'for centuries to come.'"
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John Searle
John Rogers Searle (born July 31, 1932, in Denver, Colorado) is an American philosopher and currently the Slusser Professor of Philosophy at the University of California, Berkeley. Widely noted for his contributions to the philosophy of language, philosophy of mind and social philosophy, he began teaching at Berkeley in 1959, where, among his many distinctions, he was the first tenured professor to join the Free Speech Movement. He received the Jean Nicod Prize in 2000, and the National Humanities Medal in 2004. Among his notable concepts are the "Chinese Room" argument against artificial intelligence.
Searle's father, G. W. Searle, an electrical engineer, was employed by AT&T, while his mother, Hester Beck Searle, was a physician. John Searle began his college education at the University of Wisconsin-Madison, and subsequently became a Rhodes Scholar at Oxford University, where he earned an undergraduate degree and a doctorate in philosophy and ethics.
In the 1950s, as an undergraduate at the University of Wisconsin, Searle was the secretary of "Students against Joseph McCarthy" (McCarthy was then the junior Senator from Wisconsin).
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John Stuart Mill
John Stuart Mill, FRSE (20 May 1806 – 8 May 1873) was a British philosopher, political economist and civil servant. He was an influential contributor to social theory, political theory, and political economy. He has been called "the most influential English-speaking philosopher of the nineteenth century". Mill's conception of liberty justified the freedom of the individual in opposition to unlimited state control. He was a proponent of utilitarianism, an ethical theory developed by Jeremy Bentham. Hoping to remedy the problems found in an inductive approach to science, such as confirmation bias, he clearly set forth the premises of falsification as the key component in the scientific method. Mill was also a Member of Parliament and an important figure in liberal political philosophy.
John Stuart Mill was born on Rodney Street in the Pentonville area of London, the eldest son of the Scottish philosopher, historian and economist James Mill, and Harriet Burrow. John Stuart was educated by his father, with the advice and assistance of Jeremy Bentham and Francis Place. He was given an extremely rigorous upbringing, and was deliberately shielded from association with children his own age other than his siblings. His father, a follower of Bentham and an adherent of associationism, had as his explicit aim to create a genius intellect that would carry on the cause of utilitarianism and its implementation after he and Bentham had died.
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Jon Barwise
Kenneth Jon Barwise (June 29, 1942 – March 5, 2000) was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used.
Born in Independence, Missouri to Kenneth T. and Evelyn, he was a precocious child.
A pupil of Solomon Feferman at Stanford University, Barwise started his research in infinitary logic. After positions as assistant professor at the Universities of Yale and Wisconsin, during which time his interests turned to natural language, he returned to Stanford in 1983 to direct the Center for the Study of Language and Information. He began teaching at Indiana University in 1990. He was elected a Fellow of the American Academy of Arts and Sciences in 1999.
Barwise contended that, by being explicit about the context in which a proposition is made, the situation, many problems in the application of logic can be eliminated. He sought ... to understand meaning and inference within a general theory of information, one that takes us outside the realm of sentences and relations between sentences of any language, natural or formal. In particular, he claimed that such an approach resolved the liar paradox. He made use of Peter Aczel's non-well-founded set theory in understanding "vicious circles" of reasoning.
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Joseph Black
Joseph Black FRSE FRCPE FPSG (16 April 1728 – 6 December 1799) was a Scottish physician and chemist, known for his discoveries of latent heat, specific heat, and carbon dioxide. He was professor of Medicine at University of Glasgow (where he also served as lecturer in Chemistry). James Watt, who was appointed as philosophical instrument maker at the same university in 1756 consulted with Black on experiments with his steam engine. Watt and Black also collaborated in project to manufacture sodium hydroxide; however, Black was not known to have any business interest in the process, which did not enjoy commercial success. The chemistry buildings at both the University of Edinburgh and the University of Glasgow are named after Black.
Black was born in Bordeaux, France, where his father, who was from Belfast, Ireland, was engaged in the wine trade. His mother was from Aberdeenshire, Scotland, and her family was also in the wine business. Joseph had twelve brothers and sisters. He entered the University of Glasgow when he was eighteen years old, and four years later he went to Edinburgh to further his medical studies.
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Josiah Royce
Josiah Royce (November 20, 1855 – September 14, 1916) was an American objective idealist philosopher.
Royce, born in Grass Valley, California, grew up in pioneer California very soon after the California Gold Rush. He received the B.A. from the University of California, Berkeley (at that time located in Oakland) in 1875 where he also accepted an instructorship teaching English composition, literature, and rhetoric. After some time in Germany, where he came to admire Hermann Lotze, the new Johns Hopkins University awarded him in 1878 one of its first four doctorates, in philosophy. He taught a course on the history of German thought, which was “one of his chief interests” because he was able to give consideration to the philosophy of history (Pomeroy, 6). He then taught philosophy, first at the University of California, Berkeley, then at Harvard from 1882 until his death, thanks to the good offices of William James, who was at once Royce's friend and philosophical antagonist.
Royce stands out starkly in the philosophical crowd because he was the only major American philosopher who spent a significant period of his life studying and writing history, specifically of the American West, “As one of the four giants in American philosophy of his time […] Royce overshadowed himself as historian, in both reputation and output” (Pomeroy, 2). During his first three years at Harvard, Royce taught many different subjects such as English composition, forensics, psychology and philosophy for other professors. He finally received a position as a professor in 1892. During this time he suffered a breakdown and took a semester off during which he did most of his historical writing (Pomeroy, 3).
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Jürgen Habermas
Jürgen Habermas ( /ˈjɜrɡən/ or /ˈjʊərɡən ˈhɑːbərmɑːs/;German: [ˈjʏʁɡən ˈhaːbɐmaːs]; born June 18, 1929) is a German sociologist, geographer and philosopher in the tradition of critical theory and pragmatism. He is perhaps best known for his theory on the concepts of 'communicative rationality' and the 'public sphere'. His work focuses on the foundations of social theory and epistemology, the analysis of advanced capitalistic societies and democracy, the rule of law in a critical social-evolutionary context, and contemporary politics, particularly German politics. Habermas's theoretical system is devoted to revealing the possibility of reason, emancipation, and rational-critical communication latent in modern institutions and in the human capacity to deliberate and pursue rational interests. Habermas is known for his work on the concept of modernity, particularly with respect to the discussions of "rationalization" originally set forth by Max Weber. While influenced by American pragmatism, action theory, and even poststructuralism, many of the central tenets of Habermas' thought remain broadly Marxist in nature. Global polls identified him as one of the leading intellectuals of the present day.
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Kant
Immanuel Kant (German pronunciation: [ɪˈmaːnu̯eːl ˈkant]; 22 April 1724 – 12 February 1804) was a German philosopher from Königsberg (today Kaliningrad of Russia), who researched, lectured, and wrote on philosophy and anthropology during the Enlightenment at the end of the 18th century. At the time, there were major successes and advances in the sciences (for example, Isaac Newton, Carl Friedrich Gauss, and Robert Boyle) applying reason and logic.
Kant’s major work, the Critique of Pure Reason (Kritik der reinen Vernunft, 1781), aimed to unite reason with experience to move beyond what he took to be failures of traditional philosophy and metaphysics. He hoped to end an age of speculation where objects outside experience were used to support what he saw as futile theories, while opposing the skepticism of thinkers such as Descartes, Berkeley and Hume.
He stated:
Kant proposed a ‘Copernican Revolution’ in reverse, saying that:
Kant published other important works on ethics, religion, law, aesthetics, astronomy, and history. These included the Critique of Practical Reason (Kritik der praktischen Vernunft, 1788) and the Metaphysics of Morals (Die Metaphysik der Sitten, 1797), which dealt with ethics. And the Critique of Judgment (Kritik der Urteilskraft, 1790), which looks at aesthetics and teleology. He aimed to resolve disputes between empirical and rationalist approaches. The former asserted that all knowledge comes through experience; the latter maintained that reason and innate ideas were prior. Kant argued that experience is purely subjective without first being processed by pure reason. He also said that using reason without applying it to experience only leads to theoretical illusions. The free and proper exercise of reason by the individual was both a theme of the Enlightenment, and of Kant's approaches to the various problems of philosophy.
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Karl Marx
Karl Heinrich Marx (5 May 1818 – 14 March 1883) was a German philosopher, economist, sociologist, historian, journalist, and revolutionary socialist. His ideas played a significant role in the development of social science and the socialist political movement. He published various books during his lifetime, with the most notable being The Communist Manifesto (1848) and Capital (1867–1894); some of his works were co-written with his friend and fellow German revolutionary socialist, Friedrich Engels.
Born into a wealthy middle class family in Trier, formerly in Prussian Rhineland now called Rhineland-Palatinate, Marx studied at both the University of Bonn and the University of Berlin, where he became interested in the philosophical ideas of the Young Hegelians. In 1836, he became engaged to Jenny von Westphalen, marrying her in 1843. After his studies, he wrote for a radical newspaper in Cologne, and began to work out his theory of dialectical materialism. Moving to Paris in 1843, he began writing for other radical newspapers. He met Engels in Paris, and the two men worked together on a series of books. Exiled to Brussels, he became a leading figure of the Communist League, before moving back to Cologne, where he founded his own newspaper. In 1849 he was exiled again and moved to London together with his wife and children. In London, where the family was reduced to poverty, Marx continued writing and formulating his theories about the nature of society and how he believed it could be improved, and also campaigned for socialism—he became a significant figure in the International Workingmen's Association.
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Karl Popper
Sir Karl Raimund Popper, CH FRSFBA (28 July 1902 – 17 September 1994) was an Austro-Britishphilosopher and professor at the London School of Economics. He is generally regarded as one of the greatest philosophers of science of the 20th century; he also wrote extensively on social and political philosophy.
Popper is known for his attempt to repudiate the classical observationalist/inductivist form of scientific method in favour of empirical falsification. He is also known for his opposition to the classical justificationist account of knowledge which he replaced with critical rationalism, "the first non justificational philosophy of criticism in the history of philosophy". In political discourse, he is known for his vigorous defence of liberal democracy and the principles of social criticism that he came to believe made a flourishing "open society" possible.
Karl Popper was born in Vienna (then in Austria-Hungary) in 1902, to upper middle-class parents. All of Karl Popper's grandparents were Jewish, but the Popper family converted to Lutheranism before Karl was born. Karl's father Simon Siegmund Carl Popper was a lawyer from Bohemia, and mother Jenny Schiff was of Silesian and Hungarian descent. After establishing themselves in Vienna, the Poppers made a rapid social climb in Viennese society: Simon Siegmund Carl became a legal partner[clarification needed] of Vienna's liberal mayor Raimond Grübl and, after his death in 1898, took over the firm (Karl received his middle name from the mayor).
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Karl Weierstrass
Karl Theodor Wilhelm Weierstrass (German: Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician who is often cited as the "father of modern analysis".
Weierstrass was born in Ostenfelde, part of Ennigerloh, Province of Westphalia.
Weierstrass was the son of Wilhelm Weierstrass, a government official, and Theodora Vonderforst. His interest in mathematics began while he was a Gymnasium student at Theodorianum in Paderborn. He was sent to the University of Bonn upon graduation to prepare for a government position. Because his studies were to be in the fields of law, economics, and finance, he was immediately in conflict with his hopes to study mathematics. He resolved the conflict by paying little heed to his planned course of study, but continued private study in mathematics. The outcome was to leave the university without a degree. After that he studied mathematics at the University of Münster (which was even at this time very famous for mathematics) and his father was able to obtain a place for him in a teacher training school in Münster. Later he was certified as a teacher in that city. During this period of study, Weierstrass attended the lectures of Christoph Gudermann and became interested in elliptic functions. In 1843 he taught in Deutsch-Krone in Westprussia and since 1848 he taught at the Lyceum Hosianum in Braunsberg. Besides mathematics he also taught physics, botanics and gymnastics.
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Kurt Gödel
Kurt Friedrich Gödel (/ˈkɜrt ɡɜrdəl/; German pronunciation: [ˈkʊʁt ˈɡøːdəl] ( listen); April 28, 1906 – January 14, 1978) was an Austrian/American logician, mathematician, and philosopher. Later in his life he emigrated to the United States to escape the effects of World War II. One of the most significant logicians of all time, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when many, such as Bertrand Russell, A. N. Whitehead and David Hilbert, were pioneering the use of logic and set theory to understand the foundations of mathematics.
Gödel is best known for his two incompleteness theorems, published in 1931 when he was 25 years old, one year after finishing his doctorate at the University of Vienna. The more famous incompleteness theorem states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (for example Peano arithmetic), there are true propositions about the naturals that cannot be proved from the axioms. To prove this theorem, Gödel developed a technique now known as Gödel numbering, which codes formal expressions as natural numbers.
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Leo Strauss
Leo Strauss (September 20, 1899 – October 18, 1973) was a German-American political philosopher and classicist who specialized in classical political philosophy. He was born in Germany to Jewish parents and later emigrated to the United States. He spent most of his career as a professor of political science at the University of Chicago, where he taught several generations of students and published fifteen books.
Originally trained in the Neo-Kantian tradition with Ernst Cassirer and immersed in the work of the phenomenologists Edmund Husserl and Martin Heidegger, Strauss later focused his research on the Greek texts of Plato and Aristotle, retracing their interpretation through medieval Islamic and Jewish philosophy, and encouraged application of their ideas to contemporary political theory.
Leo Strauss was born in the small town of Kirchhain in Hessen-Nassau, a province of the Kingdom of Prussia (part of the German Empire), on September 20, 1899, to Hugo Strauss and Jennie Strauss, née David. According to Allan Bloom's 1974 obituary in Political Theory, Strauss "was raised as an Orthodox Jew," but the family does not appear to have completely embraced Orthodox practice. Strauss himself noted that he came from a "conservative, even orthodox Jewish home," but one which knew little about Judaism except strict adherence to ceremonial laws. His father and uncle operated a farm supply and livestock business that they inherited from their father, Meyer (1835–1919), a leading member of the local Jewish community.
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Leonard Bloomfield
Leonard Bloomfield (April 1, 1887 – April 18, 1949) was an American linguist who led the development of structural linguistics in the United States during the 1930s and the 1940s. His influential textbook Language, published in 1933, presented a comprehensive description of American structural linguistics. He made significant contributions to Indo-European historical linguistics, the description of Austronesian languages, and description of languages of the Algonquian family.
Bloomfield's approach to linguistics was characterized by its emphasis on the scientific basis of linguistics, adherence to behaviorism especially in his later work, and emphasis on formal procedures for the analysis of linguistic data. The influence of Bloomfieldian structural linguistics declined in the late 1950s and 1960s as the theory of Generative Grammar developed by Noam Chomsky came to predominate.
Bloomfield was born in Chicago, Illinois on April 1, 1887. His father Sigmund Bloomfield immigrated to the United States as a child in 1868; the original family name Blumenfeld was changed to Bloomfield after their arrival in the United States. In 1896 his family moved to Elkhart Lake, Wisconsin, where he attended elementary school, but returned to Chicago for secondary school. His uncle Maurice Bloomfield was a prominent linguist at Johns Hopkins University, and his aunt Fannie Bloomfield Zeisler was a well-known concert pianist.
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Leopold Löwenheim
Leopold Löwenheim (26 June 1878 in Krefeld, Germany (also the birthplace of Max Zorn) – 5 May 1957 in Berlin) was a German mathematician, known for his work in mathematical logic. The Nazi regime forced him to retire because under the Nuremberg Laws he was considered only three quarters Aryan. In 1943 much of his work was destroyed during a bombing raid on Berlin. Nevertheless, he survived the Second World War, after which he resumed teaching mathematics.
Löwenheim (1915) gave the first proof of what is now known as the Löwenheim–Skolem theorem, often considered the starting point for model theory.
Primary:
Secondary:
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Lev Vygotsky
Lev Semyonovich Vygotsky (Russian: Лев Семёнович Вы́готский or Выго́тский, born Лев Симхович Выгодский (Lev Simkhovich Vygodsky), November 17 [O.S. November 5] 1896 – June 11, 1934) was a Soviet psychologist, the founder of cultural-historical psychology, and the leader of the Vygotsky Circle. In the early 1920s, his birth name was changed from Vygodskii (with "d") into Vygotskii (with middle "t").
Lev Vygotsky was born in Orsha, Byelorussia, in the Russian Empire (present-day Belarus) into a nonreligious Jewish family. He was raised in the city of Gomel, where he obtained both public and private education. He was influenced by his cousin, David Vygodsky. Vygotsky was eventually admitted to the Moscow State University through a “Jewish Lottery” to meet a three percent Jewish student quota for entry in Moscow and Saint Petersberg universities. There he studied law, but his thirst for knowledge pushed him to enroll in the “unofficial” “Shanyavskii People’s University”. Upon graduation in 1917, Vygotsky returned to Gomel to teach, “a profession he was now able to practice due to the abolition of the anti-Semitic legislation after the October Socialist Revolution”, and publish "copies of great literary works".
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Louis Couturat
Louis Couturat (January 17, 1868 – August 3, 1914) was a French logician, mathematician, philosopher, and linguist.
Born in Ris-Orangis, Essonne, France, he was educated in philosophy and mathematics at the École Normale Supérieure. He held professorships, first at the University of Toulouse, then subsequently at the Collège de France.
He was the French advocate of the symbolic logic that emerged in the years before World War I, thanks to the writings of Charles Sanders Peirce, Giuseppe Peano and his school, and especially to the Principia Mathematica by Alfred North Whitehead and Couturat's friend and correspondent, Bertrand Russell. Like Russell and Whitehead, Couturat saw symbolic logic as a tool to advance both mathematics and the philosophy thereof. In this, he was opposed by Henri Poincaré, who took considerable exception to Couturat's efforts to interest the French in symbolic logic. With the benefit of hindsight, we can see that Couturat was in broad agreement with the logicism of Russell and Whitehead, while Poincaré anticipated Brouwer's intuitionism.
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Louis XIV of France
Louis XIV (5 September 1638 – 1 September 1715), known as Louis the Great or the Sun King (French: le Roi-Soleil), was a Bourbon monarch who ruled as King of France and Navarre. He holds the distinction of being the longest-reigning king in European history, reigning for 72 years and 110 days.
Louis began his personal rule of France in 1661 after the death of his chief minister, the Italian Cardinal Mazarin. An adherent of the theory of the divine right of kings, which advocates the divine origin and lack of temporal restraint of monarchical rule, Louis continued his predecessors' work of creating a centralized state governed from the capital. He sought to eliminate the remnants of feudalism persisting in parts of France and, by compelling the nobility to inhabit his lavish Palace of Versailles, succeeded in pacifying the aristocracy, many members of which had participated in the Fronde rebellion during Louis's minority. By these means he consolidated a system of absolute monarchical rule in France that endured until the French Revolution.
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Ludwig Wittgenstein
Ludwig Josef Johann Wittgenstein (26 April 1889 – 29 April 1951) was an Austrian-British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. He was professor in philosophy at the University of Cambridge from 1939 until 1947. In his lifetime, he published just one book review, one article, a children's dictionary, and the 75-page Tractatus Logico-Philosophicus (1921). In 1999, his posthumously published Philosophical Investigations (1953) was ranked as the most important book of 20th-century philosophy, standing out as "...the one crossover masterpiece in twentieth-century philosophy, appealing across diverse specializations and philosophical orientations".Bertrand Russell described him as "the most perfect example I have ever known of genius as traditionally conceived, passionate, profound, intense, and dominating".
Born in Vienna into one of Europe's wealthiest families, he gave away his entire inheritance. Three of his brothers committed suicide, with Ludwig contemplating it too. He left academia several times: serving as an officer on the frontline during World War I, where he was decorated a number of times for his courage; teaching in schools in remote Austrian villages, where he encountered controversy for hitting children when they made mistakes in mathematics; and working during World War II as a hospital porter in London, where he told patients not to take the drugs they were prescribed, and where no-one knew he was one of the world's most famous philosophers. He described philosophy, however, as "the only work that gives me real satisfaction."
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Lyndon LaRouche
Lyndon Hermyle LaRouche, Jr. (born September 8, 1922), also known as Lyn Marcus, is an American political activist and founder of the LaRouche movement. He has written on economic, scientific, and political topics, as well as on history, philosophy, and psychoanalysis. Journalists and government officials in China, Italy and Russia have credited LaRouche with forecasting that unrestricted financial speculation would cause the late-2000s financial crisis.
LaRouche was a presidential candidate eight times between 1976 to 2004, running once for his own U.S. Labor Party and campaigning seven times for the Democratic Party nomination. He was sentenced to 15 years' imprisonment in 1988 for conspiracy to commit mail fraud and tax code violations, and was released in 1994 on parole. Ramsey Clark, his chief appellate attorney and a former U.S. Attorney General, said that LaRouche was denied a fair trial. The Court of Appeals unanimously rejected the appeal.
Supporters of LaRouche call him a political leader in the tradition of Franklin D. Roosevelt. Commentators for The Washington Post and The New York Times have described him as a conspiracy theorist and a political extremist. Some have called him fascist or antisemitic, and a 1979 editorial in the New York Times characterized his movement as a 'cult'.Norman Bailey, formerly with the National Security Council, described LaRouche's staff in 1984 as one of the best private intelligence services in the world, while the Heritage Foundation, a think tank, wrote that he leads "what may well be one of the strangest political groups in American history."
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Maimonides
Mosheh ben Maimon משה בן מימון, called Moses Maimonides and also known as Mūsā ibn Maymūn (Arabic: موسى بن ميمون), or RaMBaM (רמב"ם – Hebrew acronym for "Rabbi Mosheh Ben Maimon"), was a preeminent medieval Jewish philosopher and one of the most prolific and followed Torah scholars and physicians of the Middle Ages. He was born in Córdoba, Almoravid Empire (present-day Spain) on Passover Eve, 1135, and died in Egypt (or Tiberias) on 20th Tevet, December 12, 1204. He was a rabbi, physician and philosopher in Morocco and Egypt.
Although his writings on Jewish law and ethics were met with acclaim and gratitude from most Jews even as far off as Spain, Iraq and Yemen, and he rose to be the revered head of the Jewish community in Egypt, there were also vociferous critics of some of his rulings and other writings particularly in Spain. Nevertheless, he was posthumously acknowledged to be one of the foremost rabbinical arbiters and philosophers in Jewish history, his copious work a cornerstone of Jewish scholarship. His fourteen-volume Mishneh Torah still carries canonical authority as a codification of Talmudic law. In the Yeshiva world he is known as "haNesher haGadol" (the great eagle) in recognition of his outstanding status as a bona fide exponent of the Oral Torah.
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Marcus Aurelius
Marcus Aurelius (Latin: Marcus Aurelius Antoninus Augustus; 26 April 121 – 17 March 180 AD), was Roman Emperor from 161 to 180 AD. He ruled with Lucius Verus as co-emperor from 161 until Verus' death in 169. He was the last of the "Five Good Emperors", and is also considered one of the most important Stoic philosophers. During his reign, the Empire defeated a revitalized Parthian Empire; Aurelius' general Avidius Cassius sacked the capital Ctesiphon in 164. Aurelius fought the Marcomanni, Quadi, and Sarmatians with success during the Marcomannic Wars, but the threat of the Germanic tribes began to represent a troubling reality for the Empire. A revolt in the East led by Avidius Cassius failed to gain momentum and was suppressed immediately.
Marcus Aurelius' Stoic tome Meditations, written in Greek while on campaign between 170 and 180, is still revered as a literary monument to a philosophy of service and duty, describing how to find and preserve equanimity in the midst of conflict by following nature as a source of guidance and inspiration.
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Marquis de Condorcet
Marie Jean Antoine Nicolas de Caritat, marquis de Condorcet ([maʁi ʒɑ̃n‿ɑ̃twan nikola də kaʁita kɔ̃dɔʁˈse]; 17 September 1743 – 28 March 1794), known as Nicolas de Condorcet, was a French philosopher, mathematician, and early political scientist whose Condorcet method in voting tally selects the candidate who would beat each of the other candidates in a run-off election. Unlike many of his contemporaries, he advocated a liberal economy, free and equal public education, constitutionalism, and equal rights for women and people of all races. His ideas and writings were said to embody the ideals of the Age of Enlightenment and rationalism, and remain influential to this day. He died a mysterious death in prison after a period of being a fugitive from French Revolutionary authorities.
Condorcet was born in Ribemont, Aisne, and descended from the ancient family of Caritat, who took their title from the town of Condorcet in Dauphiné, of which they were long-time residents. Fatherless at a young age, he was raised by his devoutly religious mother. He was educated at the Jesuit College in Reims and at the Collège de Navarre in Paris, where he quickly showed his intellectual ability, and gained his first public distinctions in mathematics. When he was sixteen, his analytical abilities gained the praise of Jean le Rond d'Alembert and Alexis Clairaut; soon, Condorcet would study under d'Alembert.
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Marsilius of Padua
Marsilius of Padua (Italian Marsilio or Marsiglio da Padova; circa 1275 – circa 1342) was an Italian scholar, trained in medicine who practiced a variety of professions. He was also an important 14th century political figure. His political treatise Defensor pacis is seen by some authorities as the most revolutionary political treatise written in the later Middle Ages.
Marsillius was born in Padua, an important Italian city, circa 1275. He initially trained in medicine, but was employed in various professions, including that of a soldier. He went to the University of Paris in 1311. The reputation which he had gained in what were then called the physical sciences soon caused him to be raised to the position of rector of the university for the first term of the year 1313.
Marsilius wrote Defensor pacis in 1324. This treatise was created in the context of a power struggle between Pope John XXII and Louis of Bavaria (or Ludwig of Bavaria), the elected candidate for Holy Roman Emperor. Louis' policies in the Italian peninsula, where the Empire had important territories, threatened papal territorial sovereignty. In 1323 Louis had sent an army to Italy to protect Milan against the powerful Kingdom of Naples. Naples, along with France, was a powerful ally of John XXII. John excommunicated Louis and demanded that he relinquish his claim to the imperial crown. Louis responded to John XXII with fresh provocations.[citation needed]
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Martin Davis
Martin David Davis, (born 1928, New York City) is an American mathematician, known for his work on Hilbert's tenth problem (Jackson 2008, p. 560). He received his Ph.D. from Princeton University in 1950, where his adviser was Alonzo Church (Jackson 2008, p. 560). He is Professor Emeritus at New York University. He is the co-inventor of the Davis-Putnam and the DPLL algorithms. He is a co-author, with Ron Sigal and Elaine J. Weyuker, of Computability, Complexity, and Languages, Second Edition: Fundamentals of Theoretical Computer Science, a textbook on the theory of computability. He is also known for his model of Post–Turing machines.
Davis's parents knew each other in Łódź, Poland, but did not marry until they met again in New York City (Jackson 2008, p. 560). Davis grew up in the Bronx, where his parents encouraged him to obtain a full education (Jackson 2008, p. 561).
See Criticism of non-standard analysis
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Martin Heidegger
Martin Heidegger (September 26, 1889 – May 26, 1976); German pronunciation: [ˈmaɐ̯tiːn ˈhaɪdɛɡɐ]) was a German philosopher known for his existential and phenomenological explorations of the "question of Being."
Heidegger argues that philosophy is preoccupied with what exists and has forgotten the question of the "ground" of being. We find ourselves "always already" fallen into a world that already existed; but he insists that we have forgotten the basic question of what being itself is. This question defines our central nature. He argues that we are practical agents, caring and concerned about our projects in the world, and allowing it to reveal, or "unconceal" itself to us. He also says that our manipulation of reality is often harmful and hides our true being as essentially limited participants, not masters, of the world which we discover.
Heidegger wrote about these issues in his best-known book, Being and Time (1927), which is considered to be one of the most important philosophical works of the 20th century. Heidegger's influence is far reaching, from philosophy to deconstructionism and literary theory, theology, architecture, and artificial intelligence.
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Marvin Minsky
Marvin Lee Minsky (born August 9, 1927) is an American cognitive scientist in the field of artificial intelligence (AI), co-founder of Massachusetts Institute of Technology's AI laboratory, and author of several texts on AI and philosophy.
Marvin Lee Minsky was born in New York City to a Jewish family, where he attended The Fieldston School and the Bronx High School of Science. He later attended Phillips Academy in Andover, Massachusetts. He served in the US Navy from 1944 to 1945. He holds a BA in Mathematics from Harvard (1950) and a PhD in mathematics from Princeton (1954). He has been on the MIT faculty since 1958. In 1959 he and John McCarthy founded what is now known as the MIT Computer Science and Artificial Intelligence Laboratory. He is currently the Toshiba Professor of Media Arts and Sciences, and Professor of electrical engineering and computer science.
Isaac Asimov described Minsky as one of only two people he would admit were more intelligent than he was, the other being Carl Sagan.Patrick Winston has also described Minsky as the smartest person he has ever met. Ray Kurzweil has referred to Minsky as his mentor.
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Michael Oakeshott
Michael Joseph Oakeshott (11 December 1901 – 19 December 1990) was an English philosopher and political theorist who wrote about philosophy of history, philosophy of religion, aesthetics, and philosophy of law. He is widely regarded as one of the most important conservative thinkers of the 20th century, although he has sometimes been characterized as a liberal thinker.
His father, Joseph Oakeshott, was a civil servant and a leading member of the Fabian Society. George Bernard Shaw was a friend. Michael Oakeshott attended St. George's School, Harpenden from 1912 to 1920. He enjoyed his schooldays, and the Headmaster Cecil Grant later became a friend.[citation needed]
In 1920 he went to Gonville and Caius College, Cambridge to read history, obtaining his MA, and subsequently became a Fellow. While at Cambridge, he admired the British Idealist philosopher, J. M. E. McTaggart, and the medieval historian Zachary Nugent Brooke. The historian Herbert Butterfield was a contemporary and fellow member of the Junior Historians society.[citation needed]
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Michael Walzer
Michael Walzer (pronounced /ˈwɔːlzər/; March 3, 1935) is a prominent American political philosopher and public intellectual. A professor emeritus at the Institute for Advanced Study (IAS) in Princeton, New Jersey, he is co-editor of Dissent, an intellectual magazine that he has been affiliated with since his years as an undergraduate at Brandeis University. He has written books and essays on a wide range of topics, including just and unjust wars, nationalism, ethnicity, economic justice, social criticism, radicalism, tolerance, and political obligation and is a contributing editor to The New Republic. To date, he has written 27 books and published over 300 articles, essays, and book reviews in Dissent, The New Republic, The New York Review of Books, The New Yorker, The New York Times, "Harpers," and many philosophical and political science journals.
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Michel Foucault
Michel Foucault (French pronunciation: [miʃɛl fuko]), born Paul-Michel Foucault (15 October 1926 – 25 June 1984) was a French philosopher, social theorist and historian of ideas. He held a chair at the Collège de France with the title "History of Systems of Thought," and lectured at the University at Buffalo and the University of California, Berkeley.
Foucault is best known for his critical studies of social institutions, most notably psychiatry, social anthropology of medicine, the human sciences and the prison system, as well as for his work on the history of human sexuality. His writings on power, knowledge, and discourse have been widely influential in academic circles.
In the 1960s, he was associated with structuralism, a theoretical movement in social anthropology from which he later distanced himself. He also rejected the poststructuralist and postmodernist labels later attributed to him, preferring to classify his thought as a critical history of modernity rooted in Immanuel Kant. His project was particularly influenced by Nietzsche, his "genealogy of knowledge" being a direct allusion to Nietzsche's "genealogy of morality". In a late interview he definitively stated: "I am a Nietzschean."
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Mikhail Katz
Mikhail Katz (born 1958) is an Israeli mathematician, a professor of mathematics at Bar-Ilan University. His main interests are differential geometry and geometric topology; he is the author of a book about systolic geometry.
Katz earned a bachelor's degree in 1980 from Harvard University. He did his graduate studies at Columbia University, receiving his Ph.D. in 1984 under the joint supervision of Troels Jørgensen and Mikhael Gromov. He moved to Bar-Ilan University in 1999, after previously holding positions at the University of Maryland, College Park, Stony Brook University, Indiana University Bloomington, the Institut des Hautes Études Scientifiques, the University of Rennes 1, Henri Poincaré University, and Tel Aviv University.
Katz has performed research in systolic geometry in collaboration with Luigi Ambrosio, Victor Bangert, Mikhail Gromov, Steve Shnider, Shmuel Weinberger, and others. He has authored research publications appearing in leading journals including Communications on Pure and Applied Mathematics, Duke Mathematical Journal, Geometric and Functional Analysis, and Journal of Differential Geometry. Along with these papers, Katz was a contributor to the book "Metric Structures for Riemannian and Non-Riemannian Spaces".Marcel Berger in his article "What is... a Systole?" lists the book (Katz, 2007) as one of two books he cites in systolic geometry.
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Milovan Đilas
Milovan Đilas (pronounced [mîlɔʋan dʑîlaːs], Serbian Cyrillic: Милован Ђилас; June 4, 1911, Podbišće (Mojkovac) – April 20, 1995, Belgrade) was a YugoslavCommunist politician, theorist and author from Montenegro. He was a key figure in the Partisan movement during World War II, as in the post-war government. A self-identified Democratic Socialist, Đilas became one of the best-known and prominent dissidents in Yugoslavia and the whole Eastern Bloc.
Born in Polje village (Kolašin municipality) in the Kingdom of Montenegro, he joined the Communist Party of Yugoslavia as a Belgrade University student in 1932. He was a political prisoner from 1933 to 1936. In 1938 he was elected to the Central Committee of the Communist Party and became a member of its Politburo in 1940.
In April 1941, as Nazi Germany, Fascist Italy and their allies defeated the Royal Yugoslav army and dismembered the Kingdom of Yugoslavia, Đilas helped Josip Broz Tito found the Partisan resistance, and was a guerilla commander during the war. Following Germany's attack on the Soviet Union on June 22 (Operation Barbarossa), the Communist Party of Yugoslavia's (KPJ) Central Committee decided that conditions had been created for armed struggle and on July 4 passed the resolution to begin the uprising.
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Moses Mendelssohn
Moses Mendelssohn (6 September 1729 – 4 January 1786) was a German Jewish philosopher to whose ideas Haskalah (the Jewish Enlightenment) is indebted. Although himself a practicing orthodox Jew, he has been referred to as the father of Reform Judaism.
Born to a poor Jewish family in Dessau and originally destined for a rabbinical career, Mendelssohn educated himself in German thought and literature and from his writings on philosophy and religion came to be regarded as a leading cultural figure of his time by both Germans and Jews. He also established himself as an important figure in the Berlin textile industry, which was the foundation of his family's wealth.
Moses Mendelssohn's descendants include the composers Fanny and Felix Mendelssohn and the founders of the Mendelssohn & Co. banking house.
Moses Mendelssohn was born in Dessau. His father's name was Mendel and he later took the surname Mendelssohn ("Mendel's son"). Mendel Dessau was a poor scribe—a writer of torah scrolls—and his son Moses in his boyhood developed curvature of the spine. His early education was cared for by his father and by the local rabbi, David Fränkel, who besides teaching him the Bible and Talmud, introduced to him the philosophy of Maimonides. Fränkel received a call to Berlin in 1743. A few months later Moses followed him.
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Ned Block
Ned Block (born 1942) is an American philosopher working in the field of the philosophy of mind who has made important contributions to matters of consciousness and cognitive science. In 1971, he obtained his Ph.D. from Harvard University under Hilary Putnam. He went to Massachusetts Institute of Technology (MIT) as an assistant professor of philosophy (1971-1977), worked as associate professor of philosophy (1977-1983), professor of philosophy (1983-1996) and served as chair of the philosophy section (1989-1995). He has, since 1996, been a professor in the departments of philosophy and psychology and at the Center for Neural Science at New York University (NYU).
Block is noted for presenting the Blockhead argument against the Turing Test as a test of intelligence in a paper entitled Psychologism and Behaviourism (1981). He is also known for his criticism of functionalism, arguing that a system with the same functional states as a human is not necessarily conscious. In his more recent work on consciousness, he has made a distinction between phenomenal consciousness and access consciousness, where phenomenal consciousness consists of subjective experience and feelings and access consciousness consists of that information globally available in the cognitive system for the purposes of reasoning, speech and high-level action control. He has argued that access consciousness and phenomenal consciousness might not always coincide in human beings.
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Niccolò Machiavelli
Niccolò di Bernardo dei Machiavelli (Italian pronunciation: [nikkoˌlɔ makjaˈvɛlli], 3 May 1469 – 21 June 1527) was an Italian historian, diplomat, philosopher, humanist and writer based in Florence during the Renaissance. A founder of modern political science, he was a diplomat, political philosopher, playwright, and a civil servant of the Florentine Republic. He also wrote comedies, carnival songs, and poetry. His personal correspondence is renowned in the Italian language. He was Secretary to the Second Chancery of the Republic of Florence from 1498 to 1512, when the Medici were out of power. He wrote his masterpiece, The Prince after the Medici had recovered power and he no longer held a position of responsibility in Florence, and is respectively interpreted by many as a satire of these powers.
Machiavelli was born in Florence, Italy, the first son and third child of attorney, Bernardo di Niccolò Machiavelli, and his wife, Bartolomea di Stefano Nelli. The Machiavelli family are believed to be descended from the old marquesses of Tuscany and to have produced thirteen Florentine Gonfalonieres of Justice, one of the offices of a group of nine citizens selected by drawing lots every two months, who formed the government, or Signoria. Machiavelli, like many people of Florence, was however not a full citizen of Florence, due to the nature of Florentine citizenship in that time, even under the republican regime.
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Nicholas of Cusa
Nicholas of Kues (1401 – August 11, 1464), also referred to as Nicolaus Cusanus and Nicholas of Cusa, was a cardinal of the Catholic Church from Germany (Holy Roman Empire), a philosopher, theologian, jurist, mathematician, and an astronomer. He is widely considered one of the great geniuses and polymaths of the 15th century. He is today recognized for significant spiritual, scientific and political contributions in European history, notable examples of which include his mystical or spiritual writings on 'learned ignorance' (and mathematical ideas expressed in related essays), as well as his participation in power struggles between Rome and the German states of the Holy Roman Empire.
Nicholas of Cusa or Kues (Latinized as "Cusa") was the second of four children of Johan Krebs (or Cryfftz) and Katherina Roemer. His father was "a prosperous boat owner and ferryman." He entered the University of Heidelberg in 1416 as "a cleric of the diocese of Trier" studying the liberal arts. He then received his doctorate in Canon law from the University of Padua in 1423. Afterwards, he entered the University of Cologne in 1425 as "a doctor of canon law" which it appears he both taught and practiced there. Following this brief period in Cologne, he became secretary to Otto of Ziegenhain, the Archbishop of Trier, and represented him in Rome in 1427. After the death of Otto, during the period when the archbishopric of Trier was contested by opposing parties, he attended the Council of Basel (1431–49), representing Ulrich von Manderscheid, one of the claimants.
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Nicolas Steno
Nicolas Steno (1 January 1638 – 25 November 1686[NS: 11 January 1638 – 5 December 1686]) was a Danish Catholic bishop and scientist and a pioneer in both anatomy and geology. Steno was trained in the classical texts on science; however, by 1659 he seriously questioned accepted knowledge of the natural world. Importantly he questioned explanations for tear production, the idea that fossils grew in the ground and explanations of rock formation. His investigations and his subsequent conclusions on fossils and rock formation have led scholars to consider him one of the founders of modern stratigraphy and modern geology.
Born to a Lutheran family, Steno converted to Catholicism in 1667. After his conversion, his interest for natural sciences rapidly waned giving way to his interest in theology. At the beginning of 1675, he decided to become a priest. Four months after, he was ordained in the Catholic clergy in Easter 1675. As a clergyman, he was later appointed by Pope Innocent XI Vicar Apostolic of Nordic Missions and Titular Bishop of Titopolis. Steno played an active role in the Counter-Reformation in Northern Germany. He was venerated as a saint after his death and the Roman Catholic canonization process was begun in 1938. Pope John Paul II beatified Steno in 1988.
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Noam Chomsky
Avram Noam Chomsky (/ˈnoʊm ˈtʃɒmski/; born December 7, 1928) is an American linguist, philosopher,cognitive scientist, historian, and activist. He is an Institute Professor and Professor (Emeritus) in the Department of Linguistics & Philosophy at MIT, where he has worked for over 50 years. Chomsky has been described as the "father of modern linguistics" and a major figure of analytic philosophy. His work has influenced fields such as computer science, mathematics, and psychology.
Ideologically identifying with anarcho-syndicalism and libertarian socialism, Chomsky is known for his critiques of U.S. foreign policy and contemporary capitalism, and he has been described as a prominent cultural figure. His media criticism has included Manufacturing Consent: The Political Economy of the Mass Media (1988), co-written with Edward S. Herman, an analysis articulating the propaganda model theory for examining the media.
According to the Arts and Humanities Citation Index in 1992, Chomsky was cited as a source more often than any other living scholar from 1980 to 1992, and was the eighth most cited source overall. Chomsky is the author of over 100 books. He is credited as the creator or co-creator of the Chomsky hierarchy, the universal grammar theory, and the Chomsky–Schützenberger theorem.
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Norbert Wiener
Norbert Wiener (November 26, 1894, Columbia, Missouri – March 18, 1964, Stockholm, Sweden) was an American mathematician. He was Professor of Mathematics at MIT.
A famous child prodigy, Wiener later became an early researcher in stochastic and noise processes, contributing work relevant to electronic engineering, electronic communication, and control systems.
Wiener is regarded as the originator of cybernetics, a formalization of the notion of feedback, with many implications for engineering, systems control, computer science, biology, philosophy, and the organization of society.
Wiener was the first child of Leo Wiener and Bertha Kahn, Jews of Polish and German descent, respectively. Norbert Wiener became a famous child prodigy. Leo had educated Norbert at home until 1903, employing teaching methods of his own invention, except for a brief interlude when Norbert was 7 years of age. Earning his living teaching German and Slavic languages, Leo read widely and accumulated a personal library from which the young Norbert benefited greatly. Leo also had ample ability in mathematics, and tutored his son in the subject until he left home.
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Olavo de Carvalho
Olavo Luiz Pimentel de Carvalho (Campinas, April 29, 1947) is a Brazilian journalist,, and essayist on several issues like the history of astrology and mysticism; the history of revolutionary mentality; and philosophical anthropology, known for his conservative political stances, and for being a vehement critic of leftist.
Now living in the United States in the state of Virginia, he is an international correspondent and writes a weekly column for the Brazilian newspaper Diário do Comércio. He also teaches philosophy on a free course to over 1000 students online. Carvalho has previously written for several other magazines and newspapers, such as Bravo!, Primeira Leitura, O Globo, Época and Zero Hora, and taught philosophy to a smaller circle of students, while still living in Brazil. He also translated to Portuguese works of important philosophers of the 20th century, such as the Romanian Constantin Noica, the Spanish Xavier Zubiri, the French René Guénon, the German-American Eric Voegelin and Leo Strauss. He has commented and developed researches and theories on the works of Aristotle. He has also delivered lectures on his own work and on the work of several of those philosophers mentioned above.
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P. F. Strawson
Sir Peter Frederick Strawson FBA (23 November 1919 – 13 February 2006) was an English philosopher. He was the Waynflete Professor of Metaphysical Philosophy at the University of Oxford (Magdalen College) from 1968 to 1987. Before that he was appointed as a college lecturer at University College, Oxford in 1947 and became a tutorial fellow the following year until 1968. On his retirement in 1987, he returned to the college and continued working there until shortly before his death.
Peter Strawson was born in Ealing, West London, and brought up in Finchley, Middlesex, by his parents, both of whom were teachers. He was educated at Christ's College, Finchley, followed by St John's College, Oxford, where he read Philosophy, Politics and Economics.
Strawson first became well known with his article "On Referring" (1950), a criticism of Bertrand Russell's Theory of Descriptions (see also Definite descriptions). He was largely responsible for establishing metaphysics as a worthwhile direction in analytic philosophy.[citation needed]
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Parmenides
Parmenides of Elea ( /pɑrˈmɛnɨdiːz əv ˈɛliə/; Ancient Greek: Παρμενίδης ὁ Ἐλεάτης; fl. early 5th century BC) was an ancient Greek philosopher born in Elea, a Greek city on the southern coast of Italy. He was the founder of the Eleatic school of philosophy. The single known work of Parmenides is a poem, On Nature, which has survived only in fragmentary form. In this poem, Parmenides describes two views of reality. In "the way of truth" (a part of the poem), he explains how reality (coined as "what-is") is one, change is impossible, and existence is timeless, uniform, necessary, and unchanging. In "the way of opinion," he explains the world of appearances, in which one's sensory faculties lead to conceptions which are false and deceitful. These ideas strongly influenced the whole of Western philosophy, perhaps most notably through its effect on Plato.
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Patrick T. Riley
Patrick Thomas Riley (born October 27, 1941) is Michael Oakeshott Professor Emeritus of Political Science at the University of Wisconsin-Madison. He is notable for his translations of the political writings of Gottfried Leibniz and his research on social contract theory, as well as the history of universal jurisprudence. His first book, Will and Political Legitimacy, offered a "a critical exposition of social contract theory in Hobbes, Locke, Rousseau, Kant, and Hegel." In Leibniz' Universal Jurisprudence, Riley detailed the social, moral, and political philosophy of Leibniz, arguing for the English-speaking world that Leibniz was the most important German philosopher before Kant. He has also written extensively on the general will of Rousseau and Kant's political philosophy. He is the editor of the Cambridge Companion to Rousseau, and Leibniz's political writings for Cambridge University Press.
Riley received his undergraduate degree from Claremont Men's College and his M.Phil at The London School of Economics under the supervision of Michael Oakeshott. In 1968, he received his Ph.D. from Harvard University where on he studied under John Rawls and Judith Shklar. While at Harvard, Riley won the Bowdoin Essay Prize for Graduate Students in 1966 and 1967. He retired from the University of Wisconsin in 2007 after 36 years of teaching, and he now lectures at Harvard near his home in Cambridge, Massachusetts.
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Paul Bernays
Paul Isaac Bernays (17 October 1888, London – 18 September 1977, Zurich) was a Swiss mathematician, who made significant contributions to mathematical logic, axiomatic set theory, and the philosophy of mathematics. He was an assistant to, and close collaborator with, David Hilbert.
Bernays spent his childhood in Berlin. Bernays attended the Köllner Gymnasium, 1895-1907. At the University of Berlin, he studied mathematics under Issai Schur, Edmund Landau, Ferdinand Georg Frobenius, and Friedrich Schottky; philosophy under Alois Riehl, Carl Stumpf and Ernst Cassirer; and physics under Max Planck. At the University of Göttingen, he studied mathematics under David Hilbert, Edmund Landau, Hermann Weyl, and Felix Klein; physics under Voigt and Max Born; and philosophy under Leonard Nelson.
In 1912, the University of Berlin awarded him a Ph.D. in mathematics, for a thesis, supervised by Landau, on the analytic number theory of binary quadratic forms. That same year, the University of Zurich awarded him the Habilitation for a thesis on function theory and Picard's theorem. The examiner was Ernst Zermelo. Bernays was Privatdozent at the University of Zurich, 1912-17, where he came to know George Pólya.
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Paul du Bois-Reymond
Paul David Gustav du Bois-Reymond (2 December 1831 – 7 April 1889) was a German mathematician who was born in Berlin and died in Freiburg. He was the brother of Emil du Bois-Reymond.
His thesis was concerned with the mechanical equilibrium of fluids. He worked on the theory of functions and in mathematical physics. His interests included Sturm–Liouville theory, integral equations, variational calculus, and Fourier series. In this latter field, he was able in 1873 to construct a continuous function whose Fourier series is not convergent. His lemma defines a sufficient condition to guarantee that a function vanishes almost everywhere.
Du Bois-Reymond also established that a trigonometric series that converges to a continuous function at every point is the Fourier series of this function.
He developed a theory of infinitesimals in Über die Paradoxen des Infinitär-Calcüls ("On the paradoxes of the infinitary calculus") in 1877. He writes:-
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Paul Grice
Herbert Paul Grice (March 13, 1913, Birmingham, England – August 28, 1988, Berkeley, California), usually publishing under the name H. P. Grice, H. Paul Grice, or Paul Grice, was a British-educated philosopher of language, who spent the final two decades of his career in the United States.
Born and raised in Harborne (now a suburb of Birmingham), in the United Kingdom, he was educated at Clifton College and then at Corpus Christi College, Oxford. After a brief period teaching at Rossall School, he went back to Oxford where he taught until 1967. In that year, he moved to the United States to take up a professorship at the University of California, Berkeley, where he taught until his death in 1988. He returned to the UK in 1979 to give the John Locke lectures on Aspects of Reason. He reprinted many of his essays and papers in his valedictory book, Studies in the Way of Words (1989).
He was married and had two children. He and his wife lived in an old Spanish style house in the Berkeley Hills.[citation needed]
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Paul Ricœur
Paul Ricœur (27 February 1913 – 20 May 2005) was a French philosopher best known for combining phenomenological description with hermeneutic interpretation. As such his thought is situated within the same tradition as other major hermeneutic phenomenologists, Martin Heidegger and Hans-Georg Gadamer.
Ricœur was born in Valence, Drôme, France to a devout Protestant family, making him a member of a religious minority in Catholic France.
Ricœur's father died in a 1915 World War I battle when Ricœur was only two years old. He was raised by his paternal grandparents and an aunt in Rennes, France, with a small stipend afforded to him as a war orphan. Ricœur, whose penchant for study was fueled by his family's Protestant emphasis on Bible study, was bookish and intellectually precocious. Ricœur received his bachelor's degree' in 1933 from the University of Rennes and began studying philosophy at the Sorbonne in 1934, where he was influenced by Gabriel Marcel. In 1935, he was awarded the second-highest agrégation mark in the nation for philosophy, presaging a bright future.
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Paul Tillich
Paul Johannes Tillich (August 20, 1886 – October 22, 1965) was a German-American theologian and Christian existentialist philosopher. Tillich was one of the most influential Protestant theologians of the 20th century. Among the general public, he is best known for his works The Courage to Be (1952) and Dynamics of Faith (1957), which introduced issues of theology and modern culture to a general readership. Theologically, he is best known for his major three-volume work Systematic Theology (1951–63), in which he developed his "method of correlation": an approach of exploring the symbols of Christian revelation as answers to the problems of human existence raised by contemporary existential philosophical analysis.
Tillich was born on August 20, 1886, in the small village of Starzeddel Silesia which was then part of Germany. He was the oldest of three children, with two sisters: Johanna (b. 1888, d. 1920) and Elisabeth (b. 1893). Tillich’s Prussian father Johannes Tillich was a conservative Lutheran pastor of the Evangelical State Church of Prussia's older Provinces; his mother Mathilde Dürselen was from the Rhineland and was more liberal. When Tillich was four, his father became superintendent of a diocese in Schönfliess, a town of three thousand, where Tillich began elementary school. In 1898, Tillich was sent to Königsberg Chojna to begin gymnasium. At Königsberg, he lived in a boarding house and experienced loneliness that he sought to overcome by reading the Bible. Simultaneously, however, he was exposed to humanistic ideas at school.
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Peter Geach
Peter Thomas Geach, MA, FBA ( /ˈɡiːtʃ/; born 29 March 1916) is a British philosopher. His areas of interest are the history of philosophy, philosophical logic, and the theory of identity.
Geach was educated at Balliol College, Oxford. He taught at Birmingham University (1951–1966) and from 1966 at the University of Leeds where he was Professor of Logic in the Department of Philosophy. Geach was given the title of Emeritus Professor of Logic on his retirement in 1981.
Geach was elected a Fellow of the British Academy (FBA) in 1965.
He has been awarded the papal cross "Pro Ecclesia et Pontifice" by the Holy See for his philosophical work.
His early work includes the classic texts Mental Acts and Reference and Generality, the latter defending an essentially modern conception of reference against medieval theories of supposition.
His Catholic perspective is integral to his philosophy. He is perhaps the founder of Analytical Thomism (though the current of thought running through his and Elizabeth Anscombe's work to the present day was only ostensibly so named forty years later by John Haldane), the aim of which is to synthesise Thomistic and Analytic approaches. He defends the Thomistic position that human beings are essentially rational animals, each one miraculously created. He dismisses Darwinistic attempts to regard reason as inessential to humanity, as "mere sophistry, laughable, or pitiable." He repudiates any capacity for language in animals as mere "association of manual signs with things or performances."
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Pico della Mirandola
Count Giovanni Pico della Mirandola (Italian pronunciation: [dʒoˈvanni ˈpiko della miˈrandola]; 24 February 1463 – 17 November 1494) was an Italian Renaissance philosopher. He is famed for the events of 1486, when at the age of 23, he proposed to defend 900 theses on religion, philosophy, natural philosophy and magic against all comers, for which he wrote the famous Oration on the Dignity of Man, which has been called the "Manifesto of the Renaissance", and a key text of Renaissance humanism and of what has been called the “Hermetic Reformation."
Giovanni was born at Mirandola, near Modena, the youngest son of Francesco I, Lord of Mirandola and Count of Concordia (1415–1467), by his wife Giulia, daughter of Feltrino Boiardo, Count di Scandiano. The family had long dwelt in the Castle of Mirandola (Duchy of Modena), which had become independent in the fourteenth century and had received in 1414 from the Emperor Sigismund the fief of Concordia. Mirandola was a small autonomous county (later, a duchy) in Emilia, near Ferrara. The Pico della Mirandola were closely related to the Sforza, Gonzaga and Este dynasties, and Giovanni's siblings wed the scions of the hereditary rulers of Corsica, Ferrara, Bologna and Forlì.
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Pierre de Fermat
Pierre de Fermat (French pronunciation: [pjɛːʁ dəfɛʁˈma]; 17 August 1601 or 1607/8 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and an amateur mathematician who is given credit for early developments that led to infinitesimal calculus, including his adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of the then unknown differential calculus, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for Fermat's Last Theorem, which he described in a note at the margin of a copy of Diophantus' Arithmetica.
Fermat was born in Beaumont-de-Lomagne, Tarn-et-Garonne, France; the late 15th century mansion where Fermat was born is now a museum. He was of Basque origin. Fermat's father was a wealthy leather merchant and second consul of Beaumont-de-Lomagne. Pierre had a brother and two sisters and was almost certainly brought up in the town of his birth. There is little evidence concerning his school education, but it may have been at the local Franciscan monastery.
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Pierre Gassendi
Pierre Gassendi (January 22, 1592 – October 24, 1655) was a French philosopher, priest, scientist, astronomer, and mathematician. With a church position in south-east France, he also spent much time in Paris, where he was a leader of a group of free-thinking intellectuals. He was also an active observational scientist, publishing the first data on the transit of Mercury in 1631. The lunar crater Gassendi is named after him.
He wrote numerous philosophical works, and some of the positions he worked out are considered significant, finding a way between scepticism and dogmatism. Richard Popkin indicates that Gassendi was one of the first thinkers to formulate the modern "scientific outlook", of moderated scepticism and empiricism. He clashed with his contemporary Descartes on the possibility of certain knowledge. His best known intellectual project attempted to reconcile Epicurean atomism with Christianity.
Gassendi was born at Champtercier, near Digne, in France. A youthful prodigy, at a very early age he showed academic potential and attended the college at Digne, where he displayed a particular aptitude for languages and mathematics. Soon afterwards he entered the University of Aix-en-Provence, to study philosophy under Philibert Fesaye. In 1612 the college of Digne called him to lecture on theology. Four years later he received the degree of Doctor of Theology at Avignon, and in 1617 he took holy orders. In the same year he answered a call to the chair of philosophy at Aix-en-Provence University, and seems gradually to have withdrawn from theology.
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Plato
Plato ( /ˈpleɪtoʊ/; Greek: Πλάτων, Plátōn, "broad"; 424/423 BC – 348/347 BC) was a Classical Greek philosopher, mathematician, student of Socrates, writer of philosophical dialogues, and founder of the Academy in Athens, the first institution of higher learning in the Western world. Along with his mentor, Socrates, and his student, Aristotle, Plato helped to lay the foundations of Western philosophy and science. In the words of A. N. Whitehead:
The safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato. I do not mean the systematic scheme of thought which scholars have doubtfully extracted from his writings. I allude to the wealth of general ideas scattered through them.
Plato's sophistication as a writer is evident in his Socratic dialogues; thirty-six dialogues and thirteen letters have been ascribed to him. Plato's writings have been published in several fashions; this has led to several conventions regarding the naming and referencing of Plato's texts. Plato's dialogues have been used to teach a range of subjects, including philosophy, logic, ethics, rhetoric, and mathematics.
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Plotinus
Plotinus (Greek: Πλωτῖνος) (ca. 204/5–270 CE) was a major philosopher of the ancient world. In his system of theory there are the three principles: the One, the Intellect, and the Soul. His teacher was Ammonius Saccas and he is of the Platonic tradition. Historians of the 19th century invented the term Neoplatonism[citation needed] and applied it to him and his philosophy which was influential in Late Antiquity. Much of the biographical information about Plotinus comes from Porphyry's preface to his edition of Plotinus' Enneads. His metaphysical writings have inspired centuries of Pagan, Christian, Jewish, Islamic and Gnostic metaphysicians and mystics.
Porphyry reported that Plotinus was 66 years old when he died in 270, the second year of the reign of the emperor Claudius II, thus giving us the year of his teacher's birth as around 205. Eunapius reported that Plotinus was born in the Deltaic Lycopolis; "Lyco-" from the Greek meaning "wolf" (Greek: λύκος, lykos). It is the same root that gave rise to Aristotle's Lyceum (place of the wolf) in Egypt, which has led to speculations that he may have been a native Egyptian of Roman,Greek, or Hellenized Egyptian descent.
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R. G. Collingwood
Robin George Collingwood (22 February 1889 – 9 January 1943) was a British philosopher and historian. He was born at Cartmel, Grange-over-Sands in Lancashire, the son of the academic W. G. Collingwood, and was educated at Rugby School and at University College, Oxford, where he read Greats. He graduated with congratulatory first class honours and, prior to his graduation, was elected a fellow of Pembroke College, Oxford.
Collingwood was a fellow of Pembroke, Oxford for some 15 years until becoming the Waynflete Professor of Metaphysical Philosophy at Magdalen College, Oxford. He was the only pupil of F. J. Haverfield to survive World War I. Important influences on Collingwood were the Italian Idealists Croce, Gentile and Guido de Ruggiero, the last of whom was also a close friend. Other important influences were Hegel, Kant, Vico, F. H. Bradley and J. A. Smith. His father W. G. Collingwood, professor of fine art at University College, Reading, was a student of Ruskin and was also an important influence.
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Rabindranath Tagore
Rabindranath Tagore (Bengali: রবীন্দ্রনাথ ঠাকুর; 7 May 1861 – 7 August 1941), sobriquet Gurudev, was a Bengali polymath who reshaped his region's literature and music. Author of Gitanjali and its "profoundly sensitive, fresh and beautiful verse", he became the first non-European to win the Nobel Prize in Literature in 1913. In translation his poetry was viewed as spiritual and mercurial; his seemingly mesmeric personality, flowing hair, and other-worldly dress earned him a prophet-like reputation in the West. His "elegant prose and magical poetry" remain largely unknown outside Bengal. Tagore introduced new prose and verse forms and the use of colloquial language into Bengali literature, thereby freeing it from traditional models based on classical Sanskrit. He was highly influential in introducing the best of Indian culture to the West and vice versa, and he is generally regarded as the outstanding creative artist of modern India.
A Pirali Brahmin from Calcutta, Tagore wrote poetry as an eight-year-old. At age sixteen, he released his first substantial poems under the pseudonym Bhānusiṃha ("Sun Lion"), which were seized upon by literary authorities as long-lost classics. He graduated to his first short stories and dramas—and the aegis of his birth name—by 1877. As a humanist, universalist internationalist, and strident anti-nationalist he denounced the Raj and advocated independence from Britain. As an exponent of the Bengal Renaissance, he advanced a vast canon that comprised paintings, sketches and doodles, hundreds of texts, and some two thousand songs; his legacy endures also in the institution he founded, Visva-Bharati University.
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Raymond Smullyan
Raymond Merrill Smullyan (born May 25, 1919) is an American mathematician, concert pianist, logician, Taoist philosopher, and magician.
Born in Far Rockaway, New York, his first career (like Persi Diaconis a generation later) was stage magic. He then earned a BSc from the University of Chicago in 1955 and his Ph.D. from Princeton University in 1959. He is one of many logicians to have studied under Alonzo Church.
Born in Far Rockaway, New York, he showed musical talent, winning a gold medal in a piano competition when he was aged 12. The following year, his family moved to Manhattan and he attended Theodore Roosevelt High School in The Bronx as this school offered courses suited to his musical talents, but he left to study on his own as the school did not offer similar courses in mathematics.
He attended several colleges, studying mathematics and music.
While a Ph.D. student, Smullyan published a paper in the 1957 Journal of Symbolic Logic showing that Gödelian incompleteness held for formal systems considerably more elementary than that of Gödel's 1931 landmark paper. The contemporary understanding of Gödel's theorem dates from this paper. Smullyan later made a compelling case that much of the fascination with Gödel's theorem should be directed at Tarski's theorem, which is much easier to prove and equally disturbing philosophically. The culmination of Smullyan's lifelong reflection on the classic limitative theorems of mathematical logic is quite readable:
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René Descartes
René Descartes (French pronunciation: [ʁəne dekaʁt]; Latinized form: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and writer who spent most of his adult life in the Dutch Republic. He has been dubbed the 'Father of Modern Philosophy', and much subsequent Western philosophy is a response to his writings, which are studied closely to this day. In particular, his Meditations on First Philosophy continues to be a standard text at most university philosophy departments. Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system — allowing algebraic equations to be expressed as geometric shapes in a two-dimensional coordinate system — was named after him. He is credited as the father of analytical geometry, the bridge between algebra and geometry, crucial to the discovery of infinitesimal calculus and analysis. Descartes was also one of the key figures in the Scientific Revolution and has been described as an example of genius.
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Richard Rorty
Richard McKay Rorty (October 4, 1931 – June 8, 2007) was an American philosopher. He had a long and diverse academic career, including positions as Stuart Professor of Philosophy at Princeton University, Kenan Professor of Humanities at the University of Virginia, and Professor of Comparative Literature at Stanford University. His complex intellectual background gave him a comprehensive and nuanced understanding of the traditional analytic philosophy, which he would later famously reject in favor of his own brand of pragmatism.
The philosophical program he developed included a rejection of a representationalist account of knowledge, that is, "mirror of nature", which he reviewed as a holdover from Plato and pervasive throughout the history of western philosophy. In response to these visual theorists, which he drew as embodied by modern analytic philosophy, Rorty advocated for a novel form of American pragmatism, sometimes called neopragmatism, in which scientific and philosophical methods are merely a set of contingent "vocabularies" which were abandoned or adopted over time according to social conventions and usefulness.
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Robert Boyle
Robert Boyle, FRS, (25 January 1627 – 31 December 1691) was a 17th-century natural philosopher, chemist, physicist, and inventor, also noted for his writings in theology. He has been variously described as Irish, English and Anglo-Irish, his father having come to Ireland from England during the time of the Plantations.
Although his research clearly has its roots in the alchemical tradition, Boyle is largely regarded today as the first modern chemist, and therefore one of the founders of modern chemistry, and one of the pioneers of modern experimental scientific method. He is best known for Boyle's law, which describes the inversely proportional relationship between the absolute pressure and volume of a gas, if the temperature is kept constant within a closed system. Among his works, The Sceptical Chymist is seen as a cornerstone book in the field of chemistry.
Boyle was born in Lismore Castle, in County Waterford, Ireland, the seventh son and fourteenth child of Richard Boyle, 1st Earl of Cork and Catherine Fenton. Richard Boyle arrived in Dublin from England in 1588 during the Tudor plantations of Ireland and obtained an appointment as a deputy escheator. He had amassed enormous landholdings by the time Robert was born. Catherine Fenton was the daughter of English writer Geoffrey Fenton, who was born in Dublin in 1539, and Alice Weston, the daughter of Robert Weston, who was born in Lismore in 1541.
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Robert Nozick
Robert Nozick (November 16, 1938 – January 23, 2002) was an American political philosopher, most prominent in the 1970s and 1980s. He was a professor at Harvard University. He is best known for his book Anarchy, State, and Utopia (1974), a libertarian answer to John Rawls's A Theory of Justice (1971). His other work involved decision theory and epistemology.
Nozick was born in Brooklyn, the son of a Jewish entrepreneur from the Russian shtetl who had been born with the name of Cohen. Nozick was married to the poet Gjertrud Schnackenberg. He died in 2002 after a prolonged struggle with stomach cancer. He is interred at Mount Auburn Cemetery in Cambridge, Massachusetts.
Nozick was educated at Columbia (A.B. 1959, summa cum laude), where he studied with Sidney Morgenbesser, and later at Princeton (Ph.D. 1963), and Oxford as a Fulbright Scholar (1963-1964).
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Rudolf Carnap
Rudolf Carnap (May 18, 1891 – September 14, 1970) was an influential German-born philosopher who was active in Europe before 1935 and in the United States thereafter. He was a major member of the Vienna Circle and an advocate of logical positivism.
Carnap was born to a west German family that had been humble until his parents' generation. He began his formal education at the Barmen Gymnasium. From 1910 to 1914, he attended the University of Jena, intending to write a thesis in physics. But he also studied carefully Kant's Critique of Pure Reason during a course taught by Bruno Bauch, and was one of very few students to attend Gottlob Frege's courses in mathematical logic. After serving in the German army during World War I for three years, he was given permission to study physics at the University of Berlin, 1917–18, where Albert Einstein was a newly appointed professor. Carnap then attended the University of Jena, where he wrote a thesis defining an axiomatic theory of space and time. The physics department said it was too philosophical, and Bruno Bauch of the philosophy department said it was pure physics. Carnap then wrote another thesis, with Bauch's supervision, on the theory of space in a more orthodox Kantian style, and published as Der Raum (Space) in a supplemental issue of Kant-Studien (1922). In it he makes the clear distinction between formal, physical and perceptual (e.g., visual) spaces.
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Russell Kirk
Russell Kirk (October 19, 1918 – April 29, 1994) was an American political theorist, moralist, historian, social critic, literary critic, and fiction author known for his influence on 20th century American conservatism. His 1953 book, The Conservative Mind, gave shape to the amorphous post–World War II conservative movement. It traced the development of conservative thought in the Anglo-American tradition, giving special importance to the ideas of Edmund Burke. Kirk was also considered the chief proponent of traditionalist conservatism.
Russell Kirk was born in Plymouth, Michigan. He was the son of Russell Andrew Kirk, a railroad engineer, and Marjorie Pierce Kirk. Kirk obtained his B.A. at Michigan State University and a M.A. at Duke University. During World War II, he served in the American armed forces and corresponded with libertarian writer, Isabel Paterson, who helped to shape his early political thought. After the war, he attended the University of St. Andrews in Scotland. In 1953, he became the only American to be awarded the degree of Doctor of Letters by that university.
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Samuel Clarke
Samuel Clarke (11 October 1675, Norwich – 17 May 1729, London) was an English philosopher and Anglican clergyman.
He was the son of Edward Clarke, an alderman of Norwich and Member of Parliament, and brother of John Clarke. He was educated at the free school of Norwich and at Caius College, Cambridge. The philosophy of René Descartes was the reigning system at the university; Clarke, however, mastered the new system of Isaac Newton.
Clarke then devoted himself to the study of scripture in the original, and of the primitive Christian writers. Having taken holy orders, he became chaplain to John Moore, bishop of Norwich, who became his friend and patron. He was presented by Moore to the rectory of Drayton, near Norwich. In 1706, through the influence of Moore, he obtained the rectory of St Benet Paul's Wharf, London. Soon afterwards Queen Anne appointed him one of her chaplains in ordinary, and in 1709 presented him to the rectory of St James's, Westminster. He then took the degree of doctor in divinity, defending as his thesis the two propositions: Nullum fidei Christianae dogma, in Sacris Scripturis traditum, est rectae rationi dissentaneum, and Sine actionum humanarum libertate nulla potest esse religio.
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Samuel Johnson
Samuel Johnson (18 September 1709 [O.S. 7 September] – 13 December 1784), often referred to as Dr Johnson, was an English author who made lasting contributions to English literature as a poet, essayist, moralist, literary critic, biographer, editor and lexicographer. Johnson was a devout Anglican and committed Tory, and has been described as "arguably the most distinguished man of letters in English history". He is also the subject of "the most famous single work of biographical art in the whole of literature": James Boswell's Life of Samuel Johnson.
Johnson was born in Lichfield, Staffordshire, and attended Pembroke College, Oxford for just over a year, before his lack of funds forced him to leave. After working as a teacher he moved to London, where he began to write miscellaneous pieces for The Gentleman's Magazine. His early works include the biography The Life of Richard Savage, the poems "London" and "The Vanity of Human Wishes", and the play Irene.
After nine years of work, Johnson's A Dictionary of the English Language was published in 1755; it had a far-reaching effect on Modern English and has been described as "one of the greatest single achievements of scholarship." This work brought Johnson popularity and success. Until the completion of the Oxford English Dictionary 150 years later, Johnson's was viewed as the pre-eminent British dictionary. His later works included essays, an influential annotated edition of William Shakespeare's plays, and the widely read tale Rasselas. In 1763, he befriended James Boswell, with whom he later travelled to Scotland; Johnson described their travels in A Journey to the Western Islands of Scotland. Towards the end of his life, he produced the massive and influential Lives of the Most Eminent English Poets, a collection of biographies and evaluations of 17th- and 18th-century poets.
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Saul Kripke
Saul Aaron Kripke (born November 13, 1940) is an American philosopher and logician. He is a professor emeritus at Princeton and teaches as a Distinguished Professor of Philosophy at the CUNY Graduate Center. Since the 1960s Kripke has been a central figure in a number of fields related to mathematical logic, philosophy of language, philosophy of mathematics, metaphysics, epistemology, and set theory. Much of his work remains unpublished or exists only as tape-recordings and privately circulated manuscripts. Kripke was the recipient of the 2001 Schock Prize in Logic and Philosophy. A recent poll conducted among philosophers ranked Kripke among the top ten most important philosophers of the past 200 years.
Kripke has made influential and original contributions to logic, especially modal logic, since he was a teenager. Unusual for a professional philosopher, his only degree is an undergraduate degree from Harvard, in mathematics. His work has profoundly influenced analytic philosophy, with his principal contribution being a semantics for modal logic, involving possible worlds as described in a system now called Kripke semantics. Another of his most important contributions is his argument that necessity is a 'metaphysical' notion, which should be separated from the epistemic notion of a priori, and that there are necessary a posteriori truths, such as "Water is H2O." He has also contributed an original reading of Wittgenstein, referred to as "Kripkenstein." His most famous work is Naming and Necessity (1980).
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Simon Conway Morris
Simon Conway Morris FRS (born 6 November 1951) is an English paleontologist who is best known for his detailed and careful study of the Burgess Shale fossils. The results of these discoveries were celebrated in Wonderful Life by Stephen Jay Gould. Morris's own book on the subject, The Crucible of Creation, however, is critical of Gould's presentation and interpretation.
A native of Carshalton, Surrey, Conway Morris was brought up in London, England. and went on to study geology at Bristol University, achieving a First Class Honours degree. He then moved to Cambridge University and studied for a Ph.D under Harry Blackmore Whittington. He is Professor of Evolutionary Palaeobiology in the Department of Earth Sciences at Cambridge. He is renowned for his insights into early evolution and his studies of paleobiology. He gave the Royal Institution Christmas Lectures in 1996. He was elected a Fellow of the Royal Society at age 39, was awarded the Walcott Medal of the National Academy of Sciences in 1987 and the Lyell Medal of the Geological Society of London in 1998.
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Sir Isaac Newton
Sir Isaac Newton PRS MP (25 December 1642 – 20 March 1727 [NS: 4 January 1643 – 31 March 1727]) was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived." His monograph Philosophiæ Naturalis Principia Mathematica, published in 1687, lays the foundations for most of classical mechanics. In this work, Newton described universal gravitation and the three laws of motion, which dominated the scientific view of the physical universe for the next three centuries. Newton showed that the motions of objects on Earth and of celestial bodies are governed by the same set of natural laws, by demonstrating the consistency between Kepler's laws of planetary motion and his theory of gravitation, thus removing the last doubts about heliocentrism and advancing the Scientific Revolution.
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Society
A society, or a human society, is a group of people related to each other through persistent relations, or a large social grouping sharing the same geographical or virtual territory, subject to the same political authority and dominant cultural expectations. Human societies are characterized by patterns of relationships (social relations) between individuals who share a distinctive culture and institutions; a given society may be described as the sum total of such relationships among its constituent members. In the social sciences, a larger society often evinces stratification and/or dominance patterns in subgroups.
Insofar as it is collaborative, a society can enable its members to benefit in ways that would not otherwise be possible on an individual basis; both individual and social (common) benefits can thus be distinguished, or in many cases found to overlap.
A society can also consist of like-minded people governed by their own norms and values within a dominant, larger society. This is sometimes referred to as a subculture, a term used extensively within criminology.
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Sophia of Hanover
Sophia of the Palatinate (commonly referred to as Sophia of Hanover; 14 October 1630 – 8 June 1714) was the Electress of Hanover from 1692 to 1698. She was also an heiress to the crowns of England and Ireland and later the crown of Great Britain, a country she never visited. She was declared heiress presumptive to Queen Anne of England, Ireland and Scotland by the Act of Settlement 1701, which was passed by the English parliament, and therefore only applied to the Kingdom of England (which included Wales) and the Kingdom of Ireland. A few years later, the Kingdom of Scotland agreed to accept the Hanoverian succession for the new single throne of a new country, the Kingdom of Great Britain that Scotland and England had agreed to unite as, and which came into being under the Acts of Union, 1707. Sophia, a granddaughter of James VI and I, died less than two months before she would have become queen; her claim to the thrones passed on to her eldest son, George Louis, Elector of Hanover, who ascended them as George I on 1 August 1714 Old Style.
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Sorbs
Sorbs (Upper Sorbian: Serbja; Lower Sorbian: Serby also known as Wends, Lusatian Sorbs or Lusatian Serbs) are a Western Slavic people of Central Europe living predominantly in Lusatia, a region on the territory of Germany and Poland. In Germany they live in the states of Brandenburg and Saxony. They speak the Sorbian languages (Wendish, Lusatian) - closely related to Polish and Czech - officially recognized and protected as a minority language of Germany. They are predominantly Roman Catholics and Lutheran Protestants.
Sorbs are divided into two geographical groups:
The dialects spoken vary in intelligibility in different areas.
Lusatian tribes are noted in the work of the Bavarian Geographer. The document contains a list of the tribes in Central-Eastern Europe east of the Elbe and north of the Danube to the Volga rivers to the Black and Caspian Sea most of them of Slavic origin. Having settled by the Elbe, Spree and Neisse in the 6th century, Sorbian tribes divided into two main groups, which have taken their names from the characteristics of the area where they had settled. Sorbs living on the swampy broads of the Lower Spree have taken their name from the word marsh. The Milceni (ancestors of Upper Sorbs) settled on fertile soil around Upper Spree, the name derives from the word měl’ (loess soil). Both groups were separated from each other by a wide and uninhabited forest range. The rest of the tribes settled themselves between the Elbe and Saale. Among many Slavic tribes Bavarian Geographer noted also few lusatian tribes:
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Spinoza
Baruch Spinoza and later Benedict de Spinoza (24 November 1632 – 21 February 1677) was a Dutch philosopher. Revealing considerable scientific aptitude, the breadth and importance of Spinoza's work was not fully realized until years after his death. By laying the groundwork for the 18th century Enlightenment[citation needed] and modern biblical criticism, he came to be considered one of the great rationalists of 17th-century philosophy. His magnum opus, the posthumous Ethics, in which he opposed Descartes's mind–body dualism, has earned him recognition as one of Western philosophy's most important contributors. In the Ethics, "Spinoza wrote the last indisputable Latin masterpiece, and one in which the refined conceptions of medieval philosophy are finally turned against themselves and destroyed entirely." Philosopher Georg Wilhelm Friedrich Hegel said of all contemporary philosophers, "You are either a Spinozist or not a philosopher at all."
Spinoza's name in different languages is Hebrew: ברוך שפינוזה Baruch Spinoza, Portuguese: Benedito or Bento de Espinosa and Latin: Benedictus de Spinoza; in all these languages, the given name means "the Blessed". Spinoza was raised in the Portuguese Jewish community in Amsterdam. He developed highly controversial ideas regarding the authenticity of the Hebrew Bible and the nature of the Divine. The Jewish religious authorities issued a cherem (Hebrew: חרם, a kind of ban, shunning, ostracism, expulsion, or excommunication) against him, effectively excluding him from Jewish society at age 23. His books were also later put on the Catholic Church's Index of Forbidden Books.
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Sri Aurobindo
Sri Aurobindo (Bengali: শ্রী অরবিন্দ Sri Ôrobindo) (15 August 1872 – 5 December 1950), born Aurobindo Ghosh or Ghose (Bengali: অরবিন্দ ঘোষ Ôrobindo Ghosh), was an Indian nationalist, freedom fighter, philosopher, yogi, guru, and poet. He joined the Indian movement for freedom from British rule and for a duration became one of its most important leaders, before developing his own vision of human progress and spiritual evolution.
The central theme of Aurobindo's vision was the evolution of human life into life divine. He wrote: "Man is a transitional being. He is not final. The step from man to superman is the next approaching achievement in the earth evolution. It is inevitable because it is at once the intention of the inner spirit and the logic of nature's process."
Aurobindo's writings synthesized Eastern and Western philosophy, religion, literature, and psychology. Aurobindo was the first Indian to create a major literary corpus in English.His works include philosophy; poetry; translations of and commentaries on the Vedas, Upanishads, and the Gita; plays; literary, social, political, and historical criticism; devotional works; spiritual journals and three volumes of letters. His principal philosophical writings are The Life Divine and The Synthesis of Yoga, while his principal poetic work is Savitri: A Legend and a Symbol.
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Stephen Cole Kleene
Stephen Cole Kleene (January 5, 1909, Hartford, Connecticut, United States – January 25, 1994, Madison, Wisconsin) was an American mathematician who helped lay the foundations for theoretical computer science. One of many distinguished students of Alonzo Church, Kleene, along with Alan Turing, Emil Post, and others, is best known as a founder of the branch of mathematical logic known as recursion theory. Kleene's work grounds the study of which functions are computable. A number of mathematical concepts are named after him: Kleene hierarchy, Kleene algebra, the Kleene star (Kleene closure), Kleene's recursion theorem and the Kleene fixpoint theorem. He also invented regular expressions, and was a leading American advocate of mathematical intuitionism.
Kleene pronounced his last name /ˈkleɪniː/ KLAY-nee. Commonplace mispronunciations include /ˈkliːniː/ and /ˈkliːn/. (His son, Ken Kleene, wrote: "As far as I am aware this pronunciation is incorrect in all known languages. I believe that this novel pronunciation was invented by my father.")[citation needed]
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Søren Kierkegaard
Søren Aabye Kierkegaard (/ˈsɔrən ˈkɪərkəɡɑrd/ or /ˈkɪərkəɡɔr/; Danish: [ˈsɶːɐn ˈkiɐ̯ɡəɡɒːˀ] ( listen)) (5 May 1813 – 11 November 1855) was a Danish philosopher, theologian and religious author. He was a critic of idealist intellectuals and philosophers of his time, such as Georg Wilhelm Friedrich Hegel, Friedrich Wilhelm Joseph Schelling and Karl Wilhelm Friedrich Schlegel. He was also critical of the state and practice of Christianity, primarily that of the Church of Denmark. He is widely considered to be the first existentialist philosopher.
Much of his philosophical work deals with the issues of how one lives as a "single individual", giving priority to concrete human reality over abstract thinking, and highlighting the importance of personal choice and commitment.
His theological work focuses on Christian ethics, on the institution of the Church, and on the differences between purely objective proofs of Christianity. He wrote of the individual's subjective relationship to Jesus Christ, the God-Man, which came through faith. Much of his work deals with the art of Christian love.
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Thomas Hobbes
Thomas Hobbes of Malmesbury (5 April 1588 – 4 December 1679), in some older texts Thomas Hobbs of Malmsbury, was an English philosopher, best known today for his work on political philosophy. His 1651 book Leviathan established the foundation for most of Western political philosophy from the perspective of social contract theory.
Hobbes was a champion of absolutism for the sovereign but he also developed some of the fundamentals of European liberal thought: the right of the individual; the natural equality of all men; the artificial character of the political order (which led to the later distinction between civil society and the state); the view that all legitimate political power must be "representative" and based on the consent of the people; and a liberal interpretation of law which leaves people free to do whatever the law does not explicitly forbid.
He was one of the founders of modern political philosophy. His understanding of humans as being matter and motion, obeying the same physical laws as other matter and motion, remains influential; and his account of human nature as self-interested cooperation, and of political communities as being based upon a "social contract" remains one of the major topics of political philosophy.
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Thomas Jefferson
Thomas Jefferson (April 13, 1743 (April 2, 1743 O.S.) – July 4, 1826) was an American Founding Father, the principal author of the United States Declaration of Independence (1776) and the third President of the United States (1801–1809). At the beginning of the American Revolution, Jefferson served in the Continental Congress, representing Virginia. He then served as a wartime Governor of Virginia (1779–1781). Just after the war ended, from mid-1784 Jefferson served as a diplomat, stationed in Paris, initially as a commissioner to help negotiate commercial treaties. In May 1785, he became the United States Minister to France. He was the first United States Secretary of State (1790–1793) during the administration of President George Washington. Upon resigning his office, with his close friend James Madison he organized the Democratic-Republican Party. Elected Vice-President in 1796, under his opponent John Adams, Jefferson with Madison secretly wrote the Kentucky and Virginia Resolutions, which attempted to nullify the Alien and Sedition Acts.
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Thomas Nagel
Thomas Nagel (born July 4, 1937) is an American philosopher, currently University Professor of Philosophy and Law at New York University, where he has taught since 1980. His main areas of philosophical interest are philosophy of mind, political philosophy and ethics. He is well known for his critique of reductionist accounts of the mind in his essay "What Is It Like to Be a Bat?" (1974), and for his contributions to deontological and liberal moral and political theory in The Possibility of Altruism (1970) and subsequent writings.
Nagel was born July 4, 1937, in Belgrade, Yugoslavia (now Serbia) to a Jewish family. He received a BA from Cornell University in 1958, a BPhil from the University of Oxford in 1960, and a PhD from Harvard University in 1963 under the supervision of John Rawls. Before settling in New York, Nagel taught briefly at the University of California, Berkeley (from 1963 to 1966) and at Princeton University (from 1966 to 1980), where he trained many well-known philosophers including Susan Wolf, Shelly Kagan, and Samuel Scheffler, who is now his colleague at NYU. In 2006, he was made a member of the American Philosophical Society.
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Thomas Paine
Thomas Paine (January 29, 1737 (NS February 9, 1737) – June 8, 1809) was an English-American author, pamphleteer, radical, inventor, intellectual, revolutionary, and one of the Founding Fathers of the United States. He has been called "a corsetmaker by trade, a journalist by profession, and a propagandist by inclination."
Born in Thetford, England, in the county of Norfolk, Paine immigrated to the British American colonies in 1774 in time to participate in the American Revolution. His principal contributions were the powerful, widely read pamphlet Common Sense (1776), the all-time best-selling American book that advocated colonial America's independence from the Kingdom of Great Britain, and The American Crisis (1776–83), a pro-revolutionary pamphlet series. Common Sense was so influential that John Adams said, "Without the pen of the author of Common Sense, the sword of Washington would have been raised in vain.”
Paine lived in France for most of the 1790s, becoming deeply involved in the French Revolution. He wrote the Rights of Man (1791), in part a defense of the French Revolution against its critics. His attacks on British writer Edmund Burke led to a trial and conviction in absentia in 1792 for the crime of seditious libel. In 1792, despite not speaking French, he was elected to the French National Convention. The Girondists regarded him as an ally. Consequently, the Montagnards, especially Robespierre, regarded him as an enemy. In December of 1793, he was arrested and imprisoned in Paris, then released in 1794. He became notorious because of The Age of Reason (1793–94), his book that advocates deism, promotes reason and freethinking, and argues against institutionalized religion in general and Christian doctrine in particular. He also wrote the pamphlet Agrarian Justice (1795), discussing the origins of property, and introduced the concept of a guaranteed minimum income.
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Thomas Reid
The Reverend Thomas Reid FRSE (/riːd/; 7 May (26 April O.S.) 1710 – 7 October 1796), was a religiously trained Scottish philosopher, and a contemporary of David Hume, was the founder of the Scottish School of Common Sense, and played an integral role in the Scottish Enlightenment. The early part of his life was spent in Aberdeen, Scotland, where he created the 'Wise Club' (a literary-philosophical association) and graduated from the University of Aberdeen. He was given a professorship at King's College, Aberdeen in 1752, where he wrote An Inquiry Into the Human Mind on the Principles of Common Sense (published in 1764). Shortly afterward he was given the prestigious Professorship of Moral Philosophy at the University of Glasgow when he was called to replace Adam Smith. He resigned from this position in 1781.
Reid believed that common sense (in a special philosophical sense of sensus communis) is, or at least should be, at the foundation of all philosophical inquiry. He disagreed with Hume, who asserted that we can never know what an external world consists of as our knowledge is limited to the ideas in the mind, and George Berkeley, who asserted that the external world is merely ideas in the mind. By contrast, Reid claimed that the foundations upon which our sensus communis are built justify our belief that there is an external world.
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Thoralf Skolem
Thoralf Albert Skolem (23 May 1887 – 23 March 1963) (Norwegian pronunciation: [ˈtuːɾɑlf ˈskuːləm]) was a Norwegian mathematician known mainly for his work on mathematical logic and set theory.
Although Skolem's father was a primary school teacher, most of his extended family were farmers. Skolem attended secondary school in Kristiania (later renamed Oslo), passing the university entrance examinations in 1905. He then entered Det Kongelige Frederiks Universitet to study mathematics, also taking courses in physics, chemistry, zoology and botany.
In 1909, he began working as an assistant to the physicist Kristian Birkeland, known for bombarding magnetized spheres with electrons and obtaining aurora-like effects; thus Skolem's first publications were physics papers written jointly with Birkeland. In 1913, Skolem passed the state examinations with distinction, and completed a dissertation titled Investigations on the Algebra of Logic. He also traveled with Birkeland to the Sudan to observe the zodiacal light. He spent the winter semester of 1915 at the University of Göttingen, at the time the leading research center in mathematical logic, metamathematics, and abstract algebra, fields in which Skolem eventually excelled. In 1916 he was appointed a research fellow at Det Kongelige Frederiks Universitet. In 1918, he became a Docent in Mathematics and was elected to the Norwegian Academy of Science and Letters.
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Vasubandhu
Vasubandhu (Sanskrit: वसुबन्दु; traditional Chinese: 世親; pinyin: Shìqīn; Tibetan: དབྱིག་གཉེན་, Wylie: dbyig gnyen) (fl. 4th c.) was an Indian Buddhist monk, and along with his half-brother Asanga, one of the main founders of the Indian Yogācāra school. However, some scholars consider Vasubandhu to be two distinct people. Vasubandhu is one of the most influential figures in the entire history of Buddhism. In the Jodo Shinshu branch of Buddhism, he is considered the Second Patriarch. In Zen, he is the 21st Patriarch.
Born a brahmin Vasubandhu was said to have been the half brother of Asanga, another key personage in the founding of the Yogacara School. He was also, as well as his elder half brother Asanga, one of the ‘Six Ornaments’(i.e. six great commentators on the Buddha’s teachings). He resided at Kausambhi (near modern Allahabad) where he was trained in the orthodox Sarvastivada Order of Buddhism, which had its seat at Kausambhi. He was contemporaneous with King Chandragupta I, the father of Samudragupta. This information temporally places this Vasubandhu in the fourth century CE.
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Voltaire
François-Marie Arouet de Voltaire (French pronunciation: [fʁɑ̃.swa ma.ʁi aʁ.wɛ]; 21 November 1694 – 30 May 1778), known by the pen name Voltaire (pronounced: [vɔl.tɛːʁ]), was a French Enlightenment writer, historian and philosopher famous for his wit and for his advocacy of civil liberties, including freedom of religion, freedom of expression, free trade and separation of church and state. Voltaire was a prolific writer, producing works in almost every literary form, including plays, poetry, novels, essays, and historical and scientific works. He wrote more than 20,000 letters and more than 2,000 books and pamphlets. He was an outspoken supporter of social reform, despite strict censorship laws with harsh penalties for those who broke them. As a satirical polemicist, he frequently made use of his works to criticize intolerance, religious dogma and the French institutions of his day.
Voltaire was one of several Enlightenment figures (along with Montesquieu, John Locke, Richard Price, Jean-Jacques Rousseau, and Émilie du Châtelet) whose works and ideas influenced important thinkers of both the American and French Revolutions.
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W. V. Quine
Willard Van Orman Quine (June 25, 1908 – December 25, 2000) (known to intimates as "Van") was an American philosopher and logician in the analytic tradition. From 1930 until his death 70 years later, Quine was continuously affiliated with Harvard University in one way or another, first as a student, then as a professor of philosophy and a teacher of mathematics, and finally as a professor emeritus who published or revised several books in retirement. He filled the Edgar Pierce Chair of Philosophy at Harvard from 1956 to 1978. A recent poll conducted among analytic philosophers named Quine one of the five most important philosophers of the past two centuries. He won the first Schock Prize in Logic and Philosophy in 1993, for "his systematical and penetrating discussions of how learning of language and communication are based on socially available evidence and of the consequences of this for theories on knowledge and linguistic meaning."
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Wilhelm von Humboldt
Friedrich Wilhelm Christian Karl Ferdinand Freiherr von Humboldt (22 June 1767 – 8 April 1835) was a Prussian philosopher, government functionary, diplomat, and founder of the University of Berlin, which was named after him (and his brother, naturalist Alexander von Humboldt) in 1949. He is especially remembered as a linguist who made important contributions to the philosophy of language and to the theory and practice of education. In particular, he is widely recognized as having been the architect of the Prussian education system which was used as a model for education systems in countries such as the United States and Japan.
Humboldt was born in Potsdam, Margraviate of Brandenburg, and died in Tegel, Province of Brandenburg. His younger brother, Alexander von Humboldt, was equally famous, as a geographer.
Humboldt was a philosopher and wrote On the Limits of State Action in 1791-2 (though it was not published until 1850, after Humboldt's death), one of the boldest defences of the liberties of the Enlightenment. It influenced John Stuart Mill's essay On Liberty through which von Humboldt's ideas became known in the English-speaking world. Humboldt outlined an early version of what Mill would later call the "harm principle".
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Willard Quine
Willard Van Orman Quine (June 25, 1908 – December 25, 2000) (known to intimates as "Van") was an American philosopher and logician in the analytic tradition. From 1930 until his death 70 years later, Quine was continuously affiliated with Harvard University in one way or another, first as a student, then as a professor of philosophy and a teacher of mathematics, and finally as a professor emeritus who published or revised several books in retirement. He filled the Edgar Pierce Chair of Philosophy at Harvard from 1956 to 1978. A recent poll conducted among analytic philosophers named Quine one of the five most important philosophers of the past two centuries. He won the first Schock Prize in Logic and Philosophy in 1993, for "his systematical and penetrating discussions of how learning of language and communication are based on socially available evidence and of the consequences of this for theories on knowledge and linguistic meaning."
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William James
William James (January 11, 1842 – August 26, 1910) was a pioneering American psychologist and philosopher who was trained as a physician. He was the first educator to offer a psychology course in the U.S. He wrote influential books on the young science of psychology, educational psychology, psychology of religious experience and mysticism, and on the philosophy of pragmatism. He was the brother of novelist Henry James and of diarist Alice James. In the summer of 1878, James married Alice Gibbens.
William James was born at the Astor House in New York City. He was the son of Henry James Sr., a noted and independently wealthy Swedenborgian theologian well acquainted with the literary and intellectual elites of his day. The intellectual brilliance of the James family milieu and the remarkable epistolary talents of several of its members have made them a subject of continuing interest to historians, biographers, and critics.
James interacted with a wide array of writers and scholars throughout his life, including his godfather Ralph Waldo Emerson, his godson William James Sidis, as well as Charles Sanders Peirce, Bertrand Russell, Josiah Royce, Ernst Mach, John Dewey, Macedonio Fernández, Walter Lippmann, Mark Twain, Horatio Alger, Jr., Henri Bergson and Sigmund Freud.
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William of Ockham
William of Ockham ( /ˈɒkəm/; also Occam, Hockham, or several other spellings; c. 1288 – c. 1348) was an English Franciscan friar and scholastic philosopher, who is believed to have been born in Ockham, a small village in Surrey. He is considered to be one of the major figures of medieval thought and was at the centre of the major intellectual and political controversies of the fourteenth century. Although he is commonly known for Ockham's razor, the methodological principle that bears his name, William of Ockham also produced significant works on logic, physics, and theology. In the Church of England, his day of commemoration is 10 April.
William of Ockham joined the Franciscan order at an early age. It is believed that he studied theology at the University of Oxford from 1309 to 1321, but never completed his master's degree (the usual undergraduate degree in those times). Because of this, he acquired the byname Venerabilis Inceptor, or "Worthy Beginner" (an inceptor was a student formally admitted to the ranks of teachers by the university authorities). He was also known as the Doctor Invincibilis or "Unconquerable Teacher."
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Émile Durkheim
David Émile Durkheim (French pronunciation: [emil dyʁˈkɛm], [dyʁˈkajm]) (April 15, 1858 – November 15, 1917) was a French sociologist. He formally established the academic discipline and, with Karl Marx and Max Weber, is commonly cited as the principal architect of modern social science and father of sociology.
Much of Durkheim's work was concerned with how societies could maintain their integrity and coherence in modernity; an era in which traditional social and religious ties are no longer assumed, and in which new social institutions have come into being. His first major sociological work was The Division of Labor in Society (1893). In 1895, he published his Rules of the Sociological Method and set up the first European department of sociology, becoming France's first professor of sociology. In 1898, he established the journal L'Année Sociologique. Durkheim's seminal monograph, Suicide (1897), a study of suicide rates amongst Catholic and Protestant populations, pioneered modern social research and served to distinguish social science from psychology and political philosophy. The Elementary Forms of Religious Life (1912), presented a theory of religion, comparing the social and cultural lives of aboriginal and modern societies.
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Gottfried Wilhem Leibniz
- Order: Reorder
- Duration: 3:45
- Updated: 12 Dec 2012
A history of Leibniz. Another Historic figure that did more then you ever will.
http://wn.com/Gottfried_Wilhem_Leibniz
A history of Leibniz. Another Historic figure that did more then you ever will.
The Story of Gottfried Leibniz
- Order: Reorder
- Duration: 6:14
- Updated: 13 Jul 2012
Our Project in Math....
http://wn.com/The_Story_of_Gottfried_Leibniz
Anthony Quinton on Spinoza and Leibniz: Section 1
- Order: Reorder
- Duration: 9:11
- Updated: 13 Dec 2012
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
http://wn.com/Anthony_Quinton_on_Spinoza_and_Leibniz_Section_1
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
- published: 18 May 2008
- views: 62190
- author: flame0430
Gottfried Leibniz
- Order: Reorder
- Duration: 4:00
- Updated: 27 Mar 2012
A parody of "Clint Eastwood" by the Gorillaz for our Calculus Class. Lyrics: I'm happy that's what I said Got Calculus In my head I'm useless but not for long us dogs are gonna teach you this song You listen to what I say like derivatives from b to a dydx of u prime We'll spit it out with rhythm and rhyme It's calculus That's calculus, We're calculus. Starting with something that you know pretty well, Derivatives are nothing and you'll feel pretty swell Sum and difference rule, we'll keep you looking cool take dydx fool of your u and v pool It's just u prime plus or minus v prime and it's all in time everything is fine quotient rules is quite manageable u per v is u prime v minus v prime uover v to the two and then you're through product rule is a little bit similar and familiar u times v goes far equals v prime u it can be so easy chain rule is a little hard cuz it's so tricky so far for problems like the f of g of x are chain rule it's f prime g of x time g prime got it your so fit just hold on and recap and don't frown you're so fat to calculus and learn how to rap I'm happy that's what I said Got Calculus In my head I'm useless but not for long us dogs are gonna teach you this song You listen to what I say like derivatives from b to a dydx of u prime We'll spit it out with rhythm and rhyme It's calculus That's calculus, We're calculus. Now we're gonna integrate you'll find it's really great we'll show you some nice steps you'll be a success so good you'll solve it or ...
http://wn.com/Gottfried_Leibniz
A parody of "Clint Eastwood" by the Gorillaz for our Calculus Class. Lyrics: I'm happy that's what I said Got Calculus In my head I'm useless but not for long us dogs are gonna teach you this song You listen to what I say like derivatives from b to a dydx of u prime We'll spit it out with rhythm and rhyme It's calculus That's calculus, We're calculus. Starting with something that you know pretty well, Derivatives are nothing and you'll feel pretty swell Sum and difference rule, we'll keep you looking cool take dydx fool of your u and v pool It's just u prime plus or minus v prime and it's all in time everything is fine quotient rules is quite manageable u per v is u prime v minus v prime uover v to the two and then you're through product rule is a little bit similar and familiar u times v goes far equals v prime u it can be so easy chain rule is a little hard cuz it's so tricky so far for problems like the f of g of x are chain rule it's f prime g of x time g prime got it your so fit just hold on and recap and don't frown you're so fat to calculus and learn how to rap I'm happy that's what I said Got Calculus In my head I'm useless but not for long us dogs are gonna teach you this song You listen to what I say like derivatives from b to a dydx of u prime We'll spit it out with rhythm and rhyme It's calculus That's calculus, We're calculus. Now we're gonna integrate you'll find it's really great we'll show you some nice steps you'll be a success so good you'll solve it or ...
- published: 23 May 2008
- views: 4966
- author: jbelluch
Isaac Newton vs Gottfried Leibniz -Epic Rap Battles Of History
- Order: Reorder
- Duration: 3:51
- Updated: 08 Dec 2012
THIS IS NOT A RIP-OFF OF ERB, it is simply a video we made for our math project. It also contains some calculus terms. Battle starts at 1:39 Jason Letterman - Talal Sisalem Gottfried Leibniz - Talal Soror Isaac Newton - Talal Toukan
http://wn.com/Isaac_Newton_vs_Gottfried_Leibniz_-Epic_Rap_Battles_Of_History
THIS IS NOT A RIP-OFF OF ERB, it is simply a video we made for our math project. It also contains some calculus terms. Battle starts at 1:39 Jason Letterman - Talal Sisalem Gottfried Leibniz - Talal Soror Isaac Newton - Talal Toukan
- published: 26 May 2012
- views: 1872
- author: MSiSalem1
Gottfried Leibniz por Fernando Savater - La aventura del pensamiento
- Order: Reorder
- Duration: 23:45
- Updated: 26 Nov 2012
Un repaso por los autores más relevantes de la filosofía universal, de la mano del escritor, filósofo Fernando Savater. Hace una exposición amena y cercana que te conduce a descubrir aspectos interesantes de los diferentes filósofos y humanistas.
http://wn.com/Gottfried_Leibniz_por_Fernando_Savater_La_aventura_del_pensamiento
Un repaso por los autores más relevantes de la filosofía universal, de la mano del escritor, filósofo Fernando Savater. Hace una exposición amena y cercana que te conduce a descubrir aspectos interesantes de los diferentes filósofos y humanistas.
- published: 28 Mar 2012
- views: 2263
- author: alegriadelahuerta72
Gottfried Leibniz (1 de 3) en "La aventura del pensamiento"
- Order: Reorder
- Duration: 8:15
- Updated: 29 Nov 2012
Visita nuestro blog: 5ynap515.wordpress.com Episodio del programa "La aventura del pensamiento", de Fernando Savater, dedicado al filósofo y matemático alemán Gottfried Wilhelm von Leibniz (1646 - 1716).
http://wn.com/Gottfried_Leibniz_1_de_3_en_La_aventura_del_pensamiento
Visita nuestro blog: 5ynap515.wordpress.com Episodio del programa "La aventura del pensamiento", de Fernando Savater, dedicado al filósofo y matemático alemán Gottfried Wilhelm von Leibniz (1646 - 1716).
- published: 23 Mar 2010
- views: 20947
- author: 5ynap515
Gottfried Leibniz & The Calculus Ratiocinator
- Order: Reorder
- Duration: 6:39
- Updated: 03 Sep 2012
http://wn.com/Gottfried_Leibniz_The_Calculus_Ratiocinator
Filosofia02 Aula06 Gottfried Leibniz
- Order: Reorder
- Duration: 8:40
- Updated: 17 Nov 2012
Leibniz admitia uma série de causas eficientes a determinar o agir humano dentro da cadeia causal do mundo natural.
http://wn.com/Filosofia02_Aula06_Gottfried_Leibniz
Leibniz admitia uma série de causas eficientes a determinar o agir humano dentro da cadeia causal do mundo natural.
- published: 02 Jun 2009
- views: 2693
- author: gilsonprof
Anthony Quinton on Spinoza and Leibniz: Section 2
- Order: Reorder
- Duration: 10:48
- Updated: 27 Nov 2012
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
http://wn.com/Anthony_Quinton_on_Spinoza_and_Leibniz_Section_2
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
- published: 18 May 2008
- views: 33093
- author: flame0430
Anthony Quinton on Spinoza and Leibniz: Section 3
- Order: Reorder
- Duration: 10:51
- Updated: 27 Nov 2012
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
http://wn.com/Anthony_Quinton_on_Spinoza_and_Leibniz_Section_3
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
- published: 19 May 2008
- views: 25179
- author: flame0430
Anthony Quinton on Spinoza and Leibniz: Section 4
- Order: Reorder
- Duration: 7:39
- Updated: 27 Nov 2012
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
http://wn.com/Anthony_Quinton_on_Spinoza_and_Leibniz_Section_4
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
- published: 19 May 2008
- views: 19877
- author: flame0430
Anthony Quinton on Spinoza and Leibniz: Section 5
- Order: Reorder
- Duration: 5:18
- Updated: 27 Nov 2012
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
http://wn.com/Anthony_Quinton_on_Spinoza_and_Leibniz_Section_5
The ideas of rationalist philosophers Baruch Spinoza and Gottfried Leibniz are examined in this program by philosophy Anthony Quinton. Spinoza favors a pantheistic God who has matter and mind as two attributes, and who is the ultimate substance and explanation of the world. Leibniz sees the real world as consisting of an infinity of things purely spiritual, where everything, including space, is a phenomenon—a by-product of areal world with an infinite array of spiritual centers. Both philosophers construct a world that is very different form what the average person perceives, and both reject Cartesian duality.
- published: 19 May 2008
- views: 17413
- author: flame0430
Deadliest Warrior: Calculus Addition: Sir Issac Newton vs. Gottfried Leibniz
- Order: Reorder
- Duration: 10:00
- Updated: 08 Nov 2012
Tonight on Deadliest Warrior, our two fighters are Sir Issac Newton and Gottfried Leibniz! This was a calculus final project for Dan and Adam, performed by Dan, Adam, Matt and Ryland. Appearances made by our Physics teacher Mr. Welkley supporting Newton, and our TV and Film teacher Mr. Spitzer supporting Leibniz. We are in no way affiliated with Deadliest warrior, nor is it our opening title. We do not own the rights to Black Betty, not all content is original.
http://wn.com/Deadliest_Warrior_Calculus_Addition_Sir_Issac_Newton_vs_Gottfried_Leibniz
Tonight on Deadliest Warrior, our two fighters are Sir Issac Newton and Gottfried Leibniz! This was a calculus final project for Dan and Adam, performed by Dan, Adam, Matt and Ryland. Appearances made by our Physics teacher Mr. Welkley supporting Newton, and our TV and Film teacher Mr. Spitzer supporting Leibniz. We are in no way affiliated with Deadliest warrior, nor is it our opening title. We do not own the rights to Black Betty, not all content is original.
- published: 14 Aug 2010
- views: 974
- author: PinnacleOfMaturity
Gottfried Wilhelm Leibniz report
- Order: Reorder
- Duration: 3:59
- Updated: 26 Nov 2012
AT Math - Mathematician report on Goddfried Wilhelm Leibniz
http://wn.com/Gottfried_Wilhelm_Leibniz_report
AT Math - Mathematician report on Goddfried Wilhelm Leibniz
- published: 26 Oct 2011
- views: 212
- author: y0mbo
Leibniz Calculus Rap
- Order: Reorder
- Duration: 1:53
- Updated: 16 Feb 2012
Just to clarify before the song--Gottfried Leibniz was a mathematician important to the development of calculus. "89" refers to the TI-89 calculator. Other than that, if it doesn't make sense it is because I am a weirdo. Who is Leibniz, who-who-who Who is Leibniz? Rollin' on Integrals, Rollin' on Integrals Providing supplemental information like notation. You got yo nine? I got my 89-- thats right ya heard me dont disturb me, while Im integrating Dont even try debating Gottfrieds contribution, substitution of the integrand. If you dont take calc then you cannot hope to understand the mathematic jargon that Im spittin' Close up your mouth drool is drippin' from the left side. If you close your eyes you can hear 'em asking: Who is Leibniz, who-who-who Who is Leibniz?
http://wn.com/Leibniz_Calculus_Rap
Just to clarify before the song--Gottfried Leibniz was a mathematician important to the development of calculus. "89" refers to the TI-89 calculator. Other than that, if it doesn't make sense it is because I am a weirdo. Who is Leibniz, who-who-who Who is Leibniz? Rollin' on Integrals, Rollin' on Integrals Providing supplemental information like notation. You got yo nine? I got my 89-- thats right ya heard me dont disturb me, while Im integrating Dont even try debating Gottfrieds contribution, substitution of the integrand. If you dont take calc then you cannot hope to understand the mathematic jargon that Im spittin' Close up your mouth drool is drippin' from the left side. If you close your eyes you can hear 'em asking: Who is Leibniz, who-who-who Who is Leibniz?
- published: 16 Oct 2008
- views: 2377
- author: Brett Wolff
Gottfried Leibniz ( Ari Choi, Period 4)
- Order: Reorder
- Duration: 3:03
- Updated: 31 May 2011
Cartoon movie project
http://wn.com/Gottfried_Leibniz_Ari_Choi,_Period_4
Leibniz's Monadology
- Order: Reorder
- Duration: 99:03
- Updated: 10 Dec 2012
A discussion on Gottfried Wilhelm von Leibniz's 'Monadology'.
http://wn.com/Leibniz's_Monadology
A discussion on Gottfried Wilhelm von Leibniz's 'Monadology'.
- published: 15 Dec 2011
- views: 2650
- author: Gottfried Leibniz
Ten Facts About Gottfried Wilhelm Leibnitz
- Order: Reorder
- Duration: 3:21
- Updated: 24 Jun 2012
Professors from prestigious universities discuss Gottfried Leibnitz
http://wn.com/Ten_Facts_About_Gottfried_Wilhelm_Leibnitz
Professors from prestigious universities discuss Gottfried Leibnitz
- published: 30 Nov 2009
- views: 808
- author: KWIN2010
Newton vs. Leibniz
- Order: Reorder
- Duration: 5:49
- Updated: 17 May 2012
My (hilarious) high-school project depicting the conflict between Isaac Newton and Gottfried Leibniz Inside Jokes: (only one :) "Coming soon, to an Upper LGI to you." - There are two Large Group Instruction (LGI) rooms in our school, this was played in the upstairs one. Bad quality is due to YouTube's 10MB limit. And yes, I know I spelled controvercy wrong :).
http://wn.com/Newton_vs_Leibniz
My (hilarious) high-school project depicting the conflict between Isaac Newton and Gottfried Leibniz Inside Jokes: (only one :) "Coming soon, to an Upper LGI to you." - There are two Large Group Instruction (LGI) rooms in our school, this was played in the upstairs one. Bad quality is due to YouTube's 10MB limit. And yes, I know I spelled controvercy wrong :).
- published: 26 Dec 2007
- views: 8906
- author: 1saac356
Leibniz and Malebranche on the problem of evil
- Order: Reorder
- Duration: 24:30
- Updated: 12 Nov 2012
Prof. Steven Nadler discusses Leibniz, Malebrance, and Arnauld on theodicy and the problem of evil. You can find his book here: www.amazon.com
http://wn.com/Leibniz_and_Malebranche_on_the_problem_of_evil
Prof. Steven Nadler discusses Leibniz, Malebrance, and Arnauld on theodicy and the problem of evil. You can find his book here: www.amazon.com
- published: 10 Dec 2011
- views: 1420
- author: Gottfried Leibniz
A minute or more of Gottfried Wilhelm Leibniz
- Order: Reorder
- Duration: 1:25
- Updated: 17 Aug 2012
Well, this is the first project of the year for my math class. It's just a little video I threw together :)
http://wn.com/A_minute_or_more_of_Gottfried_Wilhelm_Leibniz
Well, this is the first project of the year for my math class. It's just a little video I threw together :)
- published: 28 Aug 2011
- views: 242
- author: czechchineseamerican
Gottfried Leibniz (3 de 3) en "La aventura del pensamiento"
- Order: Reorder
- Duration: 7:55
- Updated: 21 Nov 2012
Visita nuestro blog: 5ynap515.wordpress.com Episodio del programa "La aventura del pensamiento", de Fernando Savater, dedicado al filósofo y matemático alemán Gottfried Wilhelm von Leibniz (1646 - 1716).
http://wn.com/Gottfried_Leibniz_3_de_3_en_La_aventura_del_pensamiento
Visita nuestro blog: 5ynap515.wordpress.com Episodio del programa "La aventura del pensamiento", de Fernando Savater, dedicado al filósofo y matemático alemán Gottfried Wilhelm von Leibniz (1646 - 1716).
- published: 23 Mar 2010
- views: 9796
- author: 5ynap515
photo: AP / Manu Brabo
13 Dec 2012
MOSCOW, December 13 (RIA Novosti) – Syrian rebels behind the kidnapping of Ukrainian journalist Ankhar Kochneva have released a video threatening more attacks on Russians and Ukrainians, as a deadline for her execution approaches on Thursday. Kochneva, a 40-year-old Ukrainian citizen, was abducted in October by Syrian rebels as she traveled to the city of Homs, and has been held there by them since, they claim ... ....(size: 2.1Kb)
photo: AP / Bullit Marquez
11 Dec 2012
The death toll brought about by typhoon “Pablo” continued to rise with 714 persons confirmed dead by the National Disaster Risk Reduction and Management Council (NDRRMC) yesterday while those missing ballooned to 890 as massive search, retrieval and relief operations continue in the typhoon-ravaged areas in Mindanao ... 4 ... They were subsequently brought to Caraga Regional Hospital ... (NHMFC) (P100,000) ... With AFP ....(size: 5.4Kb)
photo: AP / Lee Jin-man
13 Dec 2012
The head of the internet giant Google has defiantly defended his company’s tax avoidance strategy claiming he was “proud” of the steps it had taken to cut its tax bill which were just “capitalism”. In an interview in New York Eric Schmidt, Google’s Chairman, confirmed the company had no intention of paying more to the UK exchequer ... “I am very proud of the structure that we set up ... ” ....(size: 3.7Kb)
photo: Russian Presidential Press and Information Office
12 Dec 2012
MOSCOW. Russia President Vladimir Putin on Wednesday denounced opponents who receive financial assistance from abroad and vowed that the country would not allow democracy to be imposed from the outside. Putin said in his first annual state-of-the-nation address since he returned to the Kremlin for a third term that it should be illegal for anyone who receives money from abroad to be a politician in Russia ... ....(size: 3.9Kb)
photo: AP / Manu Brabo
13 Dec 2012
Kabul. The Syrian government forces have fired Scud missiles at insurgents in recent days, escalating the two-year-old conflict against rebels seeking to overthrow the regime, US officials said on Wednesday. Speaking on condition of anonymity, two officials said forces of President Bashar Assad have fired the missiles from the Damascus area into northern Syria ... "Like saying, 'Oh, yeah? I'll show you!'". PTI ... First Published ... ....(size: 2.3Kb)
Deutsche Welle
14 Dec 2012
Gerrman cookie-maker Bahlsen has scrapped plans to cancel its production of seasonal Christmas goodies. The firm said it had been forced to reverse the decision, aber being surprised by public reaction to the move ... Company image upheld ... Bahlsen, which also includes the Leibniz cookie brand (pictured above), last year logged global revenues of 521 million euros ($682 million). hg/pfd (dpa, AFP). ....(size: 1.9Kb)
The Examiner
14 Dec 2012
Keren Gottfried, research manager at Ipsos Global Public Affairs which conducted the poll for Reuters explains how, “people with lower education or household income levels, as well as those under 35 years old, were more likely to believe in an apocalypse during their lifetime or in 2012, or have anxiety over the prospect.” ... Gottfried as well as many others have reported that even Mayan scholars dispute this doomsday theory ... ....(size: 4.2Kb)
PR Newswire
13 Dec 2012
FIZ Karlsruhe – Leibniz Institute for Information Infrastructure (www.fiz-karlsruhe.de) is a not-for-profit limited liability company and one of the largest non-academic information infrastructure institutions in ... FIZ Karlsruhe is a member of the Leibniz Association which consists of more than 80 institutions conducting knowledge-driven and ......(size: 8.5Kb)
noodls
13 Dec 2012
(Source. ERC - European Research Council) Press release ... The new members are. • Prof ... • Prof ... • Dr ... • Prof ... Dr ... He has received numerous awards and honours in the past, such as the Crafoord Prize in Astronomy from the Royal Swedish Academy of Sciences in (2012) and Leibniz Prize of the German Science Foundation (1990) amongst others ... Kleiner was awarded the DFG's Gottfried Wilhelm Leibniz Prize, the most prestigious prize in German research....(size: 19.8Kb)
noodls
13 Dec 2012
(Source. University of California). Alumni Gift Brings Ballet Hispanico to UC Santa Barbara for Weeklong Residency. December 13, 2012. Click for downloadable imageBallet Hispanico. Click for downloadable imageBallet Hispanico, "Asuka 9". Credit. Eduardo Patino, NYC. Click for downloadable imageBallet Hispanic, "Locked Up Laura". Credit ... Jody Gottfried Arnhold is a Ballet Hispanico board member, most recently serving as its chair ... 7 for info....(size: 5.8Kb)
The Washington Post
12 Dec 2012
Loading... Small wonder, since she’s been traumatized by seeing her younger brother Gottfried kidnapped — and, for all she knows, drowned in the Scheldt river by the sorceress Ortrud ... Then he must leave her, but first he invokes a miracle that frees Gottfried from Ortrud’s spell and changes him back from a swan ... Instead of departing, he writhes on the ground in torment until Gottfried appears, then lies still. ....(size: 3.7Kb)
Signon San Diego
12 Dec 2012
Small wonder, since she's been traumatized by seeing her younger brother Gottfried kidnapped - and, for all she knows, drowned in the Scheldt river by the sorceress Ortrud ... Then he must leave her, but first he invokes a miracle that frees Gottfried from Ortrud's spell and changes him back from a swan ... Instead of departing, he writhes on the ground in torment until Gottfried appears, then lies still. More. Comments () ... Services. Tools ... ....(size: 3.8Kb)
noodls
12 Dec 2012
(Source. Tampere University of Technology) FiDiPro Fellow funding for Department of Materials Science. 11.12.2012 17.06FiDiPro Fellow Amit Das strengthens the elastomer science at Department of Materials Science ... The invited FiDiPro Fellow, Dr. Amit Das comes from Leibniz- Institut für Polymerforschung Dresden, Germany. Dr ... (noodl....(size: 2.0Kb)
Seattle Post
12 Dec 2012
Small wonder, since she's been traumatized by seeing her younger brother Gottfried kidnapped — and, for all she knows, drowned in the Scheldt river by the sorceress Ortrud ... Then he must leave her, but first he invokes a miracle that frees Gottfried from Ortrud's spell and changes him back from a swan ... Instead of departing, he writhes on the ground in torment until Gottfried appears, then lies still ... One example of his artistry ... ....(size: 5.2Kb)
Sacramento Bee
12 Dec 2012
Small wonder, since she's been traumatized by seeing her younger brother Gottfried kidnapped - and, for all she knows, drowned in the Scheldt river by the sorceress Ortrud ... Then he must leave her, but first he invokes a miracle that frees Gottfried from Ortrud's spell and changes him back from a swan ... Instead of departing, he writhes on the ground in torment until Gottfried appears, then lies still ... One example of his artistry....(size: 5.3Kb)
The Washington Times
12 Dec 2012
Small wonder, since she’s been traumatized by seeing her younger brother Gottfried kidnapped _ and, for all she knows, drowned in the Scheldt river by the sorceress Ortrud ... Then he must leave her, but first he invokes a miracle that frees Gottfried from Ortrud’s spell and changes him back from a swan ... Instead of departing, he writhes on the ground in torment until Gottfried appears, then lies still ... All rights reserved....(size: 8.6Kb)
New York Post Online
12 Dec 2012
The first section of a spire that will rise atop the World Trade Center's tallest building will be set into place on Wednesday ... 16 ... Seth Gottfried ... ....(size: 0.9Kb)
Huffington Post
12 Dec 2012
"black people" commentary during his 1996 HBO special "Bring The Pain." In 2009, Rock told "60 Minutes" that he would probably never say the joke again "'Cause some people that were racist thought they had license to say 'nigger.' So, I'm done with that routine."Gilbert Gottfried. During the 2001 Roast of Hugh Hefner, Gilbert Gottfried made a joke about not being able to get a direct flight....(size: 12.7Kb)
"Leibniz" redirects here. For other uses, see Leibniz (disambiguation).
 Gottfried Wilhelm Leibniz |
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| Born | July 1, 1646 Leipzig, Electorate of Saxony |
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| Died | November 14, 1716(1716-11-14) (aged 70) Hanover, Electorate of Hanover |
| Era | 17th-century philosophy 18th-century philosophy |
| Region | Western Philosophy |
| Main interests | Mathematics, metaphysics, logic, theodicy |
| Notable ideas | Infinitesimal calculus Monads Best of all possible worlds Leibniz formula for π Leibniz harmonic triangle Leibniz formula for determinants Leibniz integral rule Principle of sufficient reason Diagrammatic reasoning Notation for differentiation Proof of Fermat's little theorem Kinetic energy Entscheidungsproblem AST |
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Influenced
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| Signature | 128px |
Gottfried Wilhelm Leibniz (sometimes von Leibniz) (German pronunciation: [ˈɡɔtfʁiːt ˈvɪlhɛlm fɔn ˈlaɪbnɪts][1] or [ˈlaɪpnɪts][2]) (July 1, 1646 – November 14, 1716) was a German mathematician and philosopher. He wrote in several languages, but primarily in Latin (~40%), French (~30%) and German (~15%).[3]
Leibniz occupies a prominent place in the history of mathematics and the history of philosophy. He developed the infinitesimal calculus independently of Isaac Newton, and Leibniz's mathematical notation has been widely used ever since it was published. His visionary Law of Continuity and Transcendental Law of Homogeneity only found mathematical implementation in the 20th century. He became one of the most prolific inventors in the field of mechanical calculators. While working on adding automatic multiplication and division to Pascal's calculator, he was the first to describe a pinwheel calculator in 1685[4] and invented the Leibniz wheel, used in the arithmometer, the first mass-produced mechanical calculator. He also refined the binary number system, which is at the foundation of virtually all digital computers. In philosophy, Leibniz is mostly noted for his optimism, e.g., his conclusion that our Universe is, in a restricted sense, the best possible one that God could have created. Leibniz, along with René Descartes and Baruch Spinoza, was one of the three great 17th century advocates of rationalism. The work of Leibniz anticipated modern logic and analytic philosophy, but his philosophy also looks back to the scholastic tradition, in which conclusions are produced by applying reason to first principles or prior definitions rather than to empirical evidence. Leibniz made major contributions to physics and technology, and anticipated notions that surfaced much later in philosophy, probability theory, biology, medicine, geology, psychology, linguistics, and information science. He wrote works on philosophy, politics, law, ethics, theology, history, and philology. Leibniz's contributions to this vast array of subjects were scattered in various learned journals, in tens of thousands of letters, and in unpublished manuscripts. As of 2012, there is no complete gathering of the writings of Leibniz.[5]
Contents |
Biography[link]
Early life[link]
Gottfried Leibniz was born on July 1, 1646 in Leipzig, Saxony (at the end of the Thirty Years' War), to Friedrich Leibniz and Catharina Schmuck. Friedrich noted in his family journal: "On Sunday 21 June [NS: 1 July] 1646, my son Gottfried Wilhelm is born into the world after six in the evening, ¾ to seven [ein Viertel uff sieben], Aquarius rising."[6] His father, who was of Sorbian ancestry,[7][8] died when Leibniz was six years old, and from that point on he was raised by his mother. Her teachings influenced Leibniz's philosophical thoughts in his later life.
Leibniz's father had been a Professor of Moral Philosophy at the University of Leipzig and Leibniz inherited his father's personal library. He was given free access to this from the age of seven. While Leibniz's schoolwork focused on a small canon of authorities, his father's library enabled him to study a wide variety of advanced philosophical and theological works – ones that he would not have otherwise been able to read until his college years.[9] Access to his father's library, largely written in Latin, also led to his proficiency in the Latin language. Leibniz was proficient in Latin by the age of 12, and he composed three hundred hexameters of Latin verse in a single morning for a special event at school at the age of 13.[10]
He enrolled in his father's former university at age 15,[11] and he completed his bachelor's degree in philosophy in December 1662. He defended his Disputatio Metaphysica de Principio Individui, which addressed the Principle of individuation, on June 9, 1663. Leibniz earned his master's degree in philosophy on February 7, 1664. He published and defended a dissertation Specimen Quaestionum Philosophicarum ex Jure collectarum, arguing for both a theoretical and a pedagogical relationship between philosophy and law, in December 1664. After one year of legal studies, he was awarded his bachelor's degree in Law on September 28, 1665.[citation needed]
In 1666, (at age 20), Leibniz published his first book, On the Art of Combinations, the first part of which was also his habilitation thesis in philosophy. His next goal was to earn his license and doctorate in Law, which normally required three years of study then. In 1666, the University of Leipzig turned down Leibniz's doctoral application and refused to grant him a doctorate in law, most likely due to his relative youth (he was 21 years old at the time).[12] Leibniz subsequently left Leipzig.[13]
Leibniz then enrolled in the University of Altdorf, and almost immediately he submitted a thesis, which he had probably been working on earlier in Leipzig.[14] The title of his thesis was Disputatio Inauguralis De Casibus Perplexis In Jure. Leibniz earned his license to practice law and his Doctorate in Law in November 1666. He next declined the offer of an academic appointment at Altdorf, saying that "my thoughts were turned in an entirely different direction.[15]
As an adult, Leibniz often introduced himself as "Gottfried von Leibniz". Also many posthumously published editions of his writings presented his name on the title page as "Freiherr G. W. von Leibniz." However, no document has ever been found from any contemporary government that stated his appointment to any form of nobility.[16]
1666–74[link]
Leibniz's first position was as a salaried alchemist in Nuremberg, even though he knew nothing about the subject.[17] He soon met Johann Christian von Boyneburg (1622–1672), the dismissed chief minister of the Elector of Mainz, Johann Philipp von Schönborn.[18] Von Boyneburg hired Leibniz as an assistant, and shortly thereafter reconciled with the Elector and introduced Leibniz to him. Leibniz then dedicated an essay on law to the Elector in the hope of obtaining employment. The stratagem worked; the Elector asked Leibniz to assist with the redrafting of the legal code for his Electorate.[19] In 1669, Leibniz was appointed Assessor in the Court of Appeal. Although von Boyneburg died late in 1672, Leibniz remained under the employment of his widow until she dismissed him in 1674.
Von Boyneburg did much to promote Leibniz's reputation, and the latter's memoranda and letters began to attract favorable notice. Leibniz's service to the Elector soon followed a diplomatic role. He published an essay, under the pseudonym of a fictitious Polish nobleman, arguing (unsuccessfully) for the German candidate for the Polish crown. The main force in European geopolitics during Leibniz's adult life was the ambition of Louis XIV of France, backed by French military and economic might. Meanwhile, the Thirty Years' War had left German-speaking Europe exhausted, fragmented, and economically backward. Leibniz proposed to protect German-speaking Europe by distracting Louis as follows. France would be invited to take Egypt as a stepping stone towards an eventual conquest of the Dutch East Indies. In return, France would agree to leave Germany and the Netherlands undisturbed. This plan obtained the Elector's cautious support. In 1672, the French government invited Leibniz to Paris for discussion,[20] but the plan was soon overtaken by the outbreak of the Franco-Dutch War and became irrelevant. Napoleon's failed invasion of Egypt in 1798 can be seen as an unwitting implementation of Leibniz's plan.
Thus Leibniz began several years in Paris. Soon after arriving, he met Dutch physicist and mathematician Christiaan Huygens and realised that his own knowledge of mathematics and physics was patchy. With Huygens as mentor, he began a program of self-study that soon pushed him to making major contributions to both subjects, including inventing his version of the differential and integral calculus. He met Nicolas Malebranche and Antoine Arnauld, the leading French philosophers of the day, and studied the writings of Descartes and Pascal, unpublished as well as published. He befriended a German mathematician, Ehrenfried Walther von Tschirnhaus; they corresponded for the rest of their lives. In 1675 he was admitted by the French Academy of Sciencesas a foreign honorary member, despite his lack of attention to the academy.
When it became clear that France would not implement its part of Leibniz's Egyptian plan, the Elector sent his nephew, escorted by Leibniz, on a related mission to the English government in London, early in 1673.[21] There Leibniz came into acquaintance of Henry Oldenburg and John Collins. He met with the Royal Society where he demonstrated a calculating machine the he had designed and had been building since 1670. The machine was able to execute all four basic operations (adding, subtracting, multiplying, and dividing), and the society quickly made him an external member. The mission ended abruptly when news reached it of the Elector's death, whereupon Leibniz promptly returned to Paris and not, as had been planned, to Mainz.[22]
The sudden deaths of Leibniz's two patrons in the same winter meant that Leibniz had to find a new basis for his career. In this regard, a 1669 invitation from the Duke of Brunswick to visit Hanover proved fateful. Leibniz declined the invitation, but began corresponding with the Duke in 1671. In 1673, the Duke offered him the post of Counsellor which Leibniz very reluctantly accepted two years later, only after it became clear that no employment in Paris, whose intellectual stimulation he relished, or with the Habsburg imperial court was forthcoming.
House of Hanover, 1676–1716[link]
Leibniz managed to delay his arrival in Hanover until the end of 1676 after making one more short journey to London, where he was later accused by Newton of being shown some of Newton's unpublished work on the calculus.[23] This fact was deemed evidence supporting the accusation, made decades later, that he had stolen the calculus from Newton. On the journey from London to Hanover, Leibniz stopped in The Hague where he met Leeuwenhoek, the discoverer of microorganisms. He also spent several days in intense discussion with Spinoza, who had just completed his masterwork, the Ethics.[24] Leibniz respected Spinoza's powerful intellect, but was dismayed by his conclusions that contradicted both Christian and Jewish orthodoxy.
In 1677, he was promoted, at his request, to Privy Counselor of Justice, a post he held for the rest of his life. Leibniz served three consecutive rulers of the House of Brunswick as historian, political adviser, and most consequentially, as librarian of the ducal library. He thenceforth employed his pen on all the various political, historical, and theological matters involving the House of Brunswick; the resulting documents form a valuable part of the historical record for the period.
Among the few people in north Germany to accept Leibniz were the Electress Sophia of Hanover (1630–1714), her daughter Sophia Charlotte of Hanover (1668–1705), the Queen of Prussia and his avowed disciple, and Caroline of Ansbach, the consort of her grandson, the future George II. To each of these women he was correspondent, adviser, and friend. In turn, they all approved of Leibniz more than did their spouses and the future king George I of Great Britain.[25]
The population of Hanover was only about 10,000, and its provinciality eventually grated on Leibniz. Nevertheless, to be a major courtier to the House of Brunswick was quite an honor, especially in light of the meteoric rise in the prestige of that House during Leibniz's association with it. In 1692, the Duke of Brunswick became a hereditary Elector of the Holy Roman Empire. The British Act of Settlement 1701 designated the Electress Sophia and her descent as the royal family of England, once both King William III and his sister-in-law and successor, Queen Anne, were dead. Leibniz played a role in the initiatives and negotiations leading up to that Act, but not always an effective one. For example, something he published anonymously in England, thinking to promote the Brunswick cause, was formally censured by the British Parliament.
The Brunswicks tolerated the enormous effort Leibniz devoted to intellectual pursuits unrelated to his duties as a courtier, pursuits such as perfecting the calculus, writing about other mathematics, logic, physics, and philosophy, and keeping up a vast correspondence. He began working on the calculus in 1674; the earliest evidence of its use in his surviving notebooks is 1675. By 1677 he had a coherent system in hand, but did not publish it until 1684. Leibniz's most important mathematical papers were published between 1682 and 1692, usually in a journal which he and Otto Mencke founded in 1682, the Acta Eruditorum. That journal played a key role in advancing his mathematical and scientific reputation, which in turn enhanced his eminence in diplomacy, history, theology, and philosophy.
The Elector Ernest Augustus commissioned Leibniz to write a history of the House of Brunswick, going back to the time of Charlemagne or earlier, hoping that the resulting book would advance his dynastic ambitions. From 1687 to 1690, Leibniz traveled extensively in Germany, Austria, and Italy, seeking and finding archival materials bearing on this project. Decades went by but no history appeared; the next Elector became quite annoyed at Leibniz's apparent dilatoriness. Leibniz never finished the project, in part because of his huge output on many other fronts, but also because he insisted on writing a meticulously researched and erudite book based on archival sources, when his patrons would have been quite happy with a short popular book, one perhaps little more than a genealogy with commentary, to be completed in three years or less. They never knew that he had in fact carried out a fair part of his assigned task: when the material Leibniz had written and collected for his history of the House of Brunswick was finally published in the 19th century, it filled three volumes.
In 1708, John Keill, writing in the journal of the Royal Society and with Newton's presumed blessing, accused Leibniz of having plagiarized Newton's calculus.[26] Thus began the calculus priority dispute which darkened the remainder of Leibniz's life. A formal investigation by the Royal Society (in which Newton was an unacknowledged participant), undertaken in response to Leibniz's demand for a retraction, upheld Keill's charge. Historians of mathematics writing since 1900 or so have tended to acquit Leibniz, pointing to important differences between Leibniz's and Newton's versions of the calculus.
In 1711, while traveling in northern Europe, the Russian Tsar Peter the Great stopped in Hanover and met Leibniz, who then took some interest in Russian matters for the rest of his life. In 1712, Leibniz began a two-year residence in Vienna, where he was appointed Imperial Court Councillor to the Habsburgs. On the death of Queen Anne in 1714, Elector George Louis became King George I of Great Britain, under the terms of the 1701 Act of Settlement. Even though Leibniz had done much to bring about this happy event, it was not to be his hour of glory. Despite the intercession of the Princess of Wales, Caroline of Ansbach, George I forbade Leibniz to join him in London until he completed at least one volume of the history of the Brunswick family his father had commissioned nearly 30 years earlier. Moreover, for George I to include Leibniz in his London court would have been deemed insulting to Newton, who was seen as having won the calculus priority dispute and whose standing in British official circles could not have been higher. Finally, his dear friend and defender, the Dowager Electress Sophia, died in 1714.
Death[link]
Leibniz died in Hanover in 1716: at the time, he was so out of favor that neither George I (who happened to be near Hanover at the time) nor any fellow courtier other than his personal secretary attended the funeral. Even though Leibniz was a life member of the Royal Society and the Berlin Academy of Sciences, neither organization saw fit to honor his passing. His grave went unmarked for more than 50 years. Leibniz was eulogized by Fontenelle, before the Academie des Sciences in Paris, which had admitted him as a foreign member in 1700. The eulogy was composed at the behest of the Duchess of Orleans, a niece of the Electress Sophia.
Personal life[link]
Leibniz never married. He complained on occasion about money, but the fair sum he left to his sole heir, his sister's stepson, proved that the Brunswicks had, by and large, paid him well. In his diplomatic endeavors, he at times verged on the unscrupulous, as was all too often the case with professional diplomats of his day. On several occasions, Leibniz backdated and altered personal manuscripts, actions which put him in a bad light during the calculus controversy. On the other hand, he was charming, well-mannered, and not without humor and imagination.[27] He had many friends and admirers all over Europe.
Philosopher[link]
Leibniz's philosophical thinking appears fragmented, because his philosophical writings consist mainly of a multitude of short pieces: journal articles, manuscripts published long after his death, and many letters to many correspondents. He wrote only two philosophical treatises, of which only the Théodicée of 1710 was published in his lifetime.
Leibniz dated his beginning as a philosopher to his Discourse on Metaphysics, which he composed in 1686 as a commentary on a running dispute between Nicolas Malebranche and Antoine Arnauld. This led to an extensive and valuable correspondence with Arnauld;[28] it and the Discourse were not published until the 19th century. In 1695, Leibniz made his public entrée into European philosophy with a journal article titled "New System of the Nature and Communication of Substances".[29] Between 1695 and 1705, he composed his New Essays on Human Understanding, a lengthy commentary on John Locke's 1690 An Essay Concerning Human Understanding, but upon learning of Locke's 1704 death, lost the desire to publish it, so that the New Essays were not published until 1765. The Monadologie, composed in 1714 and published posthumously, consists of 90 aphorisms.
Leibniz met Spinoza in 1676, read some of his unpublished writings, and has since been suspected of appropriating some of Spinoza's ideas. While Leibniz admired Spinoza's powerful intellect, he was also forthrightly dismayed by Spinoza's conclusions,[30] especially when these were inconsistent with Christian orthodoxy.
Unlike Descartes and Spinoza, Leibniz had a thorough university education in philosophy. He was influenced by his Leipzig professor Jakob Thomasius, who also supervised his BA thesis in philosophy. Leibniz also eagerly read Francisco Suárez, a Spanish Jesuit respected even in Lutheran universities. Leibniz was deeply interested in the new methods and conclusions of Descartes, Huygens, Newton, and Boyle, but viewed their work through a lens heavily tinted by scholastic notions. Yet it remains the case that Leibniz's methods and concerns often anticipate the logic, and analytic and linguistic philosophy of the 20th century.
The Principles[link]
Leibniz variously invoked one or another of seven fundamental philosophical Principles:[31]
- Identity/contradiction. If a proposition is true, then its negation is false and vice versa.
- Identity of indiscernibles. Two distinct things cannot have all their properties in common. If every predicate possessed by x is also possessed by y and vice versa, then entities x and y are identical; to suppose two things indiscernible is to suppose the same thing under two names. Frequently invoked in modern logic and philosophy. The "identity of indiscernibles" is often referred to as Leibniz's Law. It has attracted the most controversy and criticism, especially from corpuscular philosophy and quantum mechanics.
- Sufficient reason. "There must be a sufficient reason [often known only to God] for anything to exist, for any event to occur, for any truth to obtain."[32]
- Pre-established harmony.[33] "[T]he appropriate nature of each substance brings it about that what happens to one corresponds to what happens to all the others, without, however, their acting upon one another directly." (Discourse on Metaphysics, XIV) A dropped glass shatters because it "knows" it has hit the ground, and not because the impact with the ground "compels" the glass to split.
- Law of Continuity. Natura non saltum facit.
- Optimism. "God assuredly always chooses the best."[34]
- Plenitude. "Leibniz believed that the best of all possible worlds would actualize every genuine possibility, and argued in Théodicée that this best of all possible worlds will contain all possibilities, with our finite experience of eternity giving no reason to dispute nature's perfection."
Leibniz would on occasion give a rational defense of a specific principle, but more often took them for granted.[35]
The monads[link]
Leibniz's best known contribution to metaphysics is his theory of monads, as exposited in Monadologie. According to Leibniz, monads are elementary particles with blurred perception of each other. Monads can also be compared to the corpuscles of the Mechanical Philosophy of René Descartes and others. Monads are the ultimate elements of the universe. The monads are "substantial forms of being" with the following properties: they are eternal, indecomposable, individual, subject to their own laws, un-interacting, and each reflecting the entire universe in a pre-established harmony (a historically important example of panpsychism). Monads are centers of force; substance is force, while space, matter, and motion are merely phenomenal.
The ontological essence of a monad is its irreducible simplicity. Unlike atoms, monads possess no material or spatial character. They also differ from atoms by their complete mutual independence, so that interactions among monads are only apparent. Instead, by virtue of the principle of pre-established harmony, each monad follows a preprogrammed set of "instructions" peculiar to itself, so that a monad "knows" what to do at each moment. (These "instructions" may be seen as analogs of the scientific laws governing subatomic particles.) By virtue of these intrinsic instructions, each monad is like a little mirror of the universe. Monads need not be "small"; e.g., each human being constitutes a monad, in which case free will is problematic. God, too, is a monad, and the existence of God can be inferred from the harmony prevailing among all other monads; God wills the pre-established harmony.
Monads are purported to having gotten rid of the problematic:
- Interaction between mind and matter arising in the system of Descartes;
- Lack of individuation inherent to the system of Spinoza, which represents individual creatures as merely accidental.
Theodicy and optimism[link]
(Note that the word "optimism" here is used in the classic sense of optimal, not in the mood-related sense, as being positively hopeful.)
The Theodicy[36] tries to justify the apparent imperfections of the world by claiming that it is optimal among all possible worlds. It must be the best possible and most balanced world, because it was created by an all powerful and all knowing God, who would not choose to create an imperfect world if a better world could be known to him or possible to exist. In effect, apparent flaws that can be identified in this world must exist in every possible world, because otherwise God would have chosen to create the world that excluded those flaws.
Leibniz asserted that the truths of theology (religion) and philosophy cannot contradict each other, since reason and faith are both "gifts of God" so that their conflict would imply God contending against himself. The Theodicy is Leibniz's attempt to reconcile his personal philosophical system with his interpretation of the tenets of Christianity.[37] This project was motivated in part by Leibniz's belief, shared by many conservative philosophers and theologians during the Enlightenment, in the rational and enlightened nature of the Christian religion, at least as this was defined in tendentious comparisons between Christian and non Western or "primitive" religious practices and beliefs. It was also shaped by Leibniz's belief in the perfectibility of human nature (if humanity relied on correct philosophy and religion as a guide), and by his belief that metaphysical necessity must have a rational or logical foundation, even if this metaphysical causality seemed inexplicable in terms of physical necessity (the natural laws identified by science).
Because reason and faith must be entirely reconciled, any tenet of faith which could not be defended by reason must be rejected. Leibniz then approached one of the central criticisms of Christian theism:[38] if God is all good, all wise and all powerful, how did evil come into the world? The answer (according to Leibniz) is that, while God is indeed unlimited in wisdom and power, his human creations, as creations, are limited both in their wisdom and in their will (power to act). This predisposes humans to false beliefs, wrong decisions and ineffective actions in the exercise of their free will. God does not arbitrarily inflict pain and suffering on humans; rather he permits both moral evil (sin) and physical evil (pain and suffering) as the necessary consequences of metaphysical evil (imperfection), as a means by which humans can identify and correct their erroneous decisions, and as a contrast to true good.
Further, although human actions flow from prior causes that ultimately arise in God, and therefore are known as a metaphysical certainty to God, an individual's free will is exercised within natural laws, where choices are merely contingently necessary, to be decided in the event by a "wonderful spontaneity" that provides individuals an escape from rigorous predestination.
This theory drew controversy and refutations, that are collected in the article Best of all possible worlds.
Symbolic thought[link]
Leibniz believed that much of human reasoning could be reduced to calculations of a sort, and that such calculations could resolve many differences of opinion:
The only way to rectify our reasonings is to make them as tangible as those of the Mathematicians, so that we can find our error at a glance, and when there are disputes among persons, we can simply say: Let us calculate [calculemus], without further ado, to see who is right.[39]
Leibniz's calculus ratiocinator, which resembles symbolic logic, can be viewed as a way of making such calculations feasible. Leibniz wrote memoranda[40] that can now be read as groping attempts to get symbolic logic—and thus his calculus—off the ground. But Gerhard and Couturat did not publish these writings until modern formal logic had emerged in Frege's Begriffsschrift and in writings by Charles Sanders Peirce and his students in the 1880s, and hence well after Boole and De Morgan began that logic in 1847.
Leibniz thought symbols were important for human understanding. He attached so much importance to the invention of good notations that he attributed all his discoveries in mathematics to this. His notation for the infinitesimal calculus is an example of his skill in this regard. C.S. Peirce, a 19th-century pioneer of semiotics, shared Leibniz's passion for symbols and notation, and his belief that these are essential to a well-running logic and mathematics.
But Leibniz took his speculations much further. Defining a character as any written sign, he then defined a "real" character as one that represents an idea directly and not simply as the word embodying the idea. Some real characters, such as the notation of logic, serve only to facilitate reasoning. Many characters well known in his day, including Egyptian hieroglyphics, Chinese characters, and the symbols of astronomy and chemistry, he deemed not real.[41] Instead, he proposed the creation of a characteristica universalis or "universal characteristic", built on an alphabet of human thought in which each fundamental concept would be represented by a unique "real" character:
It is obvious that if we could find characters or signs suited for expressing all our thoughts as clearly and as exactly as arithmetic expresses numbers or geometry expresses lines, we could do in all matters insofar as they are subject to reasoning all that we can do in arithmetic and geometry. For all investigations which depend on reasoning would be carried out by transposing these characters and by a species of calculus.[42]
Complex thoughts would be represented by combining characters for simpler thoughts. Leibniz saw that the uniqueness of prime factorization suggests a central role for prime numbers in the universal characteristic, a striking anticipation of Gödel numbering. Granted, there is no intuitive or mnemonic way to number any set of elementary concepts using the prime numbers. Leibniz's idea of reasoning through a universal language of symbols and calculations however remarkably foreshadows great 20th century developments in formal systems, such as Turing completeness, where computation was used to define equivalent universal languages (see Turing degree).
Because Leibniz was a mathematical novice when he first wrote about the characteristic, at first he did not conceive it as an algebra but rather as a universal language or script. Only in 1676 did he conceive of a kind of "algebra of thought", modeled on and including conventional algebra and its notation. The resulting characteristic included a logical calculus, some combinatorics, algebra, his analysis situs (geometry of situation), a universal concept language, and more.
What Leibniz actually intended by his characteristica universalis and calculus ratiocinator, and the extent to which modern formal logic does justice to the calculus, may never be established.[43]
Formal logic[link]
Main article: Algebraic logic
Leibniz is the most important logician between Aristotle and 1847, when George Boole and Augustus De Morgan each published books that began modern formal logic. Leibniz enunciated the principal properties of what we now call conjunction, disjunction, negation, identity, set inclusion, and the empty set. The principles of Leibniz's logic and, arguably, of his whole philosophy, reduce to two:
- All our ideas are compounded from a very small number of simple ideas, which form the alphabet of human thought.
- Complex ideas proceed from these simple ideas by a uniform and symmetrical combination, analogous to arithmetical multiplication.
The formal logic that emerged early in the 20th century also requires, at minimum, unary negation and quantified variables ranging over some universe of discourse.
Leibniz published nothing on formal logic in his lifetime; most of what he wrote on the subject consists of working drafts. In his book History of Western Philosophy, Bertrand Russell went so far as to claim that Leibniz had developed logic in his unpublished writings to a level which was reached only 200 years later.
Mathematician[link]
Although the mathematical notion of function was implicit in trigonometric and logarithmic tables, which existed in his day, Leibniz was the first, in 1692 and 1694, to employ it explicitly, to denote any of several geometric concepts derived from a curve, such as abscissa, ordinate, tangent, chord, and the perpendicular.[44] In the 18th century, "function" lost these geometrical associations.
Leibniz was the first to see that the coefficients of a system of linear equations could be arranged into an array, now called a matrix, which can be manipulated to find the solution of the system, if any. This method was later called Gaussian elimination. Leibniz's discoveries of Boolean algebra and of symbolic logic, also relevant to mathematics, are discussed in the preceding section. The best overview of Leibniz's writings on the calculus may be found in Bos (1974).[45]
Calculus[link]
Leibniz is credited, along with Sir Isaac Newton, with the invention of infinitesimal calculus (that comprises differential and integral calculus). According to Leibniz's notebooks, a critical breakthrough occurred on November 11, 1675, when he employed integral calculus for the first time to find the area under the graph of a function y = ƒ(x). He introduced several notations used to this day, for instance the integral sign ∫ representing an elongated S, from the Latin word summa and the d used for differentials, from the Latin word differentia. This cleverly suggestive notation for the calculus is probably his most enduring mathematical legacy. Leibniz did not publish anything about his calculus until 1684.[46] The product rule of differential calculus is still called "Leibniz's law". In addition, the theorem that tells how and when to differentiate under the integral sign is called the Leibniz integral rule.
Leibniz exploited infinitesimals in developing the calculus, manipulating them in ways suggesting that they had paradoxical algebraic properties. George Berkeley, in a tract called The Analyst and also in De Motu, criticized these. A recent study argues that Leibnizian calculus was free of contradictions, and was better grounded than Berkeley's empiricist criticisms.[47]
From 1711 until his death, Leibniz was engaged in a dispute with John Keill, Newton and others, over whether Leibniz had invented the calculus independently of Newton. This subject is treated at length in the article Leibniz-Newton controversy.
Infinitesimals were officially banned from mathematics by the followers of Karl Weierstrass, but survived in science and engineering, and even in rigorous mathematics, via the fundamental computational device known as the differential. Beginning in 1960, Abraham Robinson worked out a rigorous foundation for Leibniz's infinitesimals, using model theory, in the context of a field of hyperreal numbers. The resulting non-standard analysis can be seen as a belated vindication of Leibniz's mathematical reasoning. Robinson's transfer principle is a mathematical implementation of Leibniz's heuristic law of continuity.
Topology[link]
Leibniz was the first to use the term analysis situs,[48] later used in the 19th century to refer to what is now known as topology. There are two takes on this situation. On the one hand, Mates, citing a 1954 paper in German by Jacob Freudenthal, argues:
Although for Leibniz the situs of a sequence of points is completely determined by the distance between them and is altered if those distances are altered, his admirer Euler, in the famous 1736 paper solving the Königsberg Bridge Problem and its generalizations, used the term geometria situs in such a sense that the situs remains unchanged under topological deformations. He mistakenly credits Leibniz with originating this concept. ...it is sometimes not realized that Leibniz used the term in an entirely different sense and hence can hardly be considered the founder of that part of mathematics.[49]
But Hideaki Hirano argues differently, quoting Mandelbrot:[50]
To sample Leibniz' scientific works is a sobering experience. Next to calculus, and to other thoughts that have been carried out to completion, the number and variety of premonitory thrusts is overwhelming. We saw examples in 'packing,'... My Leibniz mania is further reinforced by finding that for one moment its hero attached importance to geometric scaling. In "Euclidis Prota"..., which is an attempt to tighten Euclid's axioms, he states,...: 'I have diverse definitions for the straight line. The straight line is a curve, any part of which is similar to the whole, and it alone has this property, not only among curves but among sets.' This claim can be proved today.[51]
Thus the fractal geometry promoted by Mandelbrot drew on Leibniz's notions of self-similarity and the principle of continuity: natura non facit saltus. We also see that when Leibniz wrote, in a metaphysical vein, that "the straight line is a curve, any part of which is similar to the whole", he was anticipating topology by more than two centuries. As for "packing", Leibniz told to his friend and correspondent Des Bosses to imagine a circle, then to inscribe within it three congruent circles with maximum radius; the latter smaller circles could be filled with three even smaller circles by the same procedure. This process can be continued infinitely, from which arises a good idea of self-similarity. Leibniz's improvement of Euclid's axiom contains the same concept.
Scientist and engineer[link]
Leibniz's writings are currently discussed, not only for their anticipations and possible discoveries not yet recognized, but as ways of advancing present knowledge. Much of his writing on physics is included in Gerhardt's Mathematical Writings.
Physics[link]
See also: Dynamism (metaphysics)
Leibniz contributed a fair amount to the statics and dynamics emerging about him, often disagreeing with Descartes and Newton. He devised a new theory of motion (dynamics) based on kinetic energy and potential energy, which posited space as relative, whereas Newton was thoroughly convinced that space was absolute. An important example of Leibniz's mature physical thinking is his Specimen Dynamicum of 1695.[52]
Until the discovery of subatomic particles and the quantum mechanics governing them, many of Leibniz's speculative ideas about aspects of nature not reducible to statics and dynamics made little sense. For instance, he anticipated Albert Einstein by arguing, against Newton, that space, time and motion are relative, not absolute.[citation needed] Leibniz's rule is an important, if often overlooked, step in many proofs in diverse fields of physics. The principle of sufficient reason has been invoked in recent cosmology, and his identity of indiscernibles in quantum mechanics, a field some even credit him with having anticipated in some sense. Those who advocate digital philosophy, a recent direction in cosmology, claim Leibniz as a precursor.
[edit] The vis viva
Leibniz's vis viva (Latin for living force) is mv2, twice the modern kinetic energy. He realized that the total energy would be conserved in certain mechanical systems, so he considered it an innate motive characteristic of matter.[53] Here too his thinking gave rise to another regrettable nationalistic dispute. His vis viva was seen as rivaling the conservation of momentum championed by Newton in England and by Descartes in France; hence academics in those countries tended to neglect Leibniz's idea. In reality, both energy and momentum are conserved, so the two approaches are equally valid.
Other natural science[link]
By proposing that the earth has a molten core, he anticipated modern geology. In embryology, he was a preformationist, but also proposed that organisms are the outcome of a combination of an infinite number of possible microstructures and of their powers. In the life sciences and paleontology, he revealed an amazing transformist intuition, fueled by his study of comparative anatomy and fossils. One of his principal works on this subject, Protogaea, unpublished in his lifetime, has recently been published in English for the first time. He worked out a primal organismic theory.[54] In medicine, he exhorted the physicians of his time—with some results—to ground their theories in detailed comparative observations and verified experiments, and to distinguish firmly scientific and metaphysical points of view.
Social science[link]
In psychology,[55] he anticipated the distinction between conscious and unconscious states. In public health, he advocated establishing a medical administrative authority, with powers over epidemiology and veterinary medicine. He worked to set up a coherent medical training programme, oriented towards public health and preventive measures. In economic policy, he proposed tax reforms and a national insurance program, and discussed the balance of trade. He even proposed something akin to what much later emerged as game theory. In sociology he laid the ground for communication theory.
Technology[link]
In 1906, Garland published a volume of Leibniz's writings bearing on his many practical inventions and engineering work. To date, few of these writings have been translated into English. Nevertheless, it is well understood that Leibniz was a serious inventor, engineer, and applied scientist, with great respect for practical life. Following the motto theoria cum praxis, he urged that theory be combined with practical application, and thus has been claimed as the father of applied science. He designed wind-driven propellers and water pumps, mining machines to extract ore, hydraulic presses, lamps, submarines, clocks, etc. With Denis Papin, he invented a steam engine. He even proposed a method for desalinating water. From 1680 to 1685, he struggled to overcome the chronic flooding that afflicted the ducal silver mines in the Harz Mountains, but did not succeed.[56]
Computation[link]
Leibniz may have been the first computer scientist and information theorist.[57] Early in life, he documented the binary numeral system (base 2), then revisited that system throughout his career.[58] He anticipated Lagrangian interpolation and algorithmic information theory. His calculus ratiocinator anticipated aspects of the universal Turing machine. In 1934, Norbert Wiener claimed to have found in Leibniz's writings a mention of the concept of feedback, central to Wiener's later cybernetic theory.
In 1671, Leibniz began to invent a machine that could execute all four arithmetical operations, gradually improving it over a number of years. This "Stepped Reckoner" attracted fair attention and was the basis of his election to the Royal Society in 1673. A number of such machines were made during his years in Hanover, by a craftsman working under Leibniz's supervision. It was not an unambiguous success because it did not fully mechanize the operation of carrying. Couturat reported finding an unpublished note by Leibniz, dated 1674, describing a machine capable of performing some algebraic operations.[59]
Leibniz was groping towards hardware and software concepts worked out much later by Charles Babbage and Ada Lovelace. In 1679, while mulling over his binary arithmetic, Leibniz imagined a machine in which binary numbers were represented by marbles, governed by a rudimentary sort of punched cards.[60] Modern electronic digital computers replace Leibniz's marbles moving by gravity with shift registers, voltage gradients, and pulses of electrons, but otherwise they run roughly as Leibniz envisioned in 1679.
Librarian[link]
While serving as librarian of the ducal libraries in Hanover and Wolfenbuettel, Leibniz effectively became one of the founders of library science. The latter library was enormous for its day, as it contained more than 100,000 volumes, and Leibniz helped design a new building for it, believed to be the first building explicitly designed to be a library. He also designed a book indexing system in ignorance of the only other such system then extant, that of the Bodleian Library at Oxford University. He also called on publishers to distribute abstracts of all new titles they produced each year, in a standard form that would facilitate indexing. He hoped that this abstracting project would eventually include everything printed from his day back to Gutenberg. Neither proposal met with success at the time, but something like them became standard practice among English language publishers during the 20th century, under the aegis of the Library of Congress and the British Library.
He called for the creation of an empirical database as a way to further all sciences. His characteristica universalis, calculus ratiocinator, and a "community of minds"—intended, among other things, to bring political and religious unity to Europe—can be seen as distant unwitting anticipations of artificial languages (e.g., Esperanto and its rivals), symbolic logic, even the World Wide Web.
Advocate of scientific societies[link]
Leibniz emphasized that research was a collaborative endeavor. Hence he warmly advocated the formation of national scientific societies along the lines of the British Royal Society and the French Academie Royale des Sciences. More specifically, in his correspondence and travels he urged the creation of such societies in Dresden, Saint Petersburg, Vienna, and Berlin. Only one such project came to fruition; in 1700, the Berlin Academy of Sciences was created. Leibniz drew up its first statutes, and served as its first President for the remainder of his life. That Academy evolved into the German Academy of Sciences, the publisher of the ongoing critical edition of his works.[61]
Lawyer, moralist[link]
With the possible exception of Marcus Aurelius, no philosopher has ever had as much experience with practical affairs of state as Leibniz. Leibniz's writings on law, ethics, and politics[62] were long overlooked by English-speaking scholars, but this has changed of late.[63]
While Leibniz was no apologist for absolute monarchy like Hobbes, or for tyranny in any form, neither did he echo the political and constitutional views of his contemporary John Locke, views invoked in support of democracy, in 18th-century America and later elsewhere. The following excerpt from a 1695 letter to Baron J. C. Boyneburg's son Philipp is very revealing of Leibniz's political sentiments:
As for.. the great question of the power of sovereigns and the obedience their peoples owe them, I usually say that it would be good for princes to be persuaded that their people have the right to resist them, and for the people, on the other hand, to be persuaded to obey them passively. I am, however, quite of the opinion of Grotius, that one ought to obey as a rule, the evil of revolution being greater beyond comparison than the evils causing it. Yet I recognize that a prince can go to such excess, and place the well-being of the state in such danger, that the obligation to endure ceases. This is most rare, however, and the theologian who authorizes violence under this pretext should take care against excess; excess being infinitely more dangerous than deficiency.[64]
In 1677, Leibniz called for a European confederation, governed by a council or senate, whose members would represent entire nations and would be free to vote their consciences;[65] this is sometimes tendentiously considered an anticipation of the European Union. He believed that Europe would adopt a uniform religion. He reiterated these proposals in 1715.
Ecumenism[link]
Leibniz devoted considerable intellectual and diplomatic effort to what would now be called ecumenical endeavor, seeking to reconcile first the Roman Catholic and Lutheran churches, later the Lutheran and Reformed churches. In this respect, he followed the example of his early patrons, Baron von Boyneburg and the Duke John Frederick—both cradle Lutherans who converted to Catholicism as adults—who did what they could to encourage the reunion of the two faiths, and who warmly welcomed such endeavors by others. (The House of Brunswick remained Lutheran because the Duke's children did not follow their father.) These efforts included corresponding with the French bishop Jacques-Bénigne Bossuet, and involved Leibniz in a fair bit of theological controversy. He evidently thought that the thoroughgoing application of reason would suffice to heal the breach caused by the Reformation.
Philologist[link]
Leibniz the philologist was an avid student of languages, eagerly latching on to any information about vocabulary and grammar that came his way. He refuted the belief, widely held by Christian scholars in his day, that Hebrew was the primeval language of the human race. He also refuted the argument, advanced by Swedish scholars in his day, that a form of proto-Swedish was the ancestor of the Germanic languages. He puzzled over the origins of the Slavic languages, was aware of the existence of Sanskrit, and was fascinated by classical Chinese.
He published the princeps editio (first modern edition) of the late medieval Chronicon Holtzatiae, a Latin chronicle of the County of Holstein.
Sinophile[link]
Leibniz was perhaps the first major European intellect to take a close interest in Chinese civilization, which he knew by corresponding with, and reading other works by, European Christian missionaries posted in China. Having read Confucius Sinicus Philosophus on the first year of its publication,[66] he concluded that Europeans could learn much from the Confucian ethical tradition. He mulled over the possibility that the Chinese characters were an unwitting form of his universal characteristic. He noted with fascination how the I Ching hexagrams correspond to the binary numbers from 0 to 111111, and concluded that this mapping was evidence of major Chinese accomplishments in the sort of philosophical mathematics he admired.[67]
Leibniz's attraction to Chinese philosophy originates from his perception that Chinese philosophy was similar to his own.[66] The historian E.R. Hughes suggests that Leibniz's ideas of "simple substance" and "pre-established harmony" were directly influenced by Confucianism, pointing to the fact that they were conceived during the period that he was reading Confucius Sinicus Philosophus.[66]
As polymath[link]
While making his grand tour of European archives to research the Brunswick family history that he never completed, Leibniz stopped in Vienna between May 1688 and February 1689, where he did much legal and diplomatic work for the Brunswicks. He visited mines, talked with mine engineers, and tried to negotiate export contracts for lead from the ducal mines in the Harz mountains. His proposal that the streets of Vienna be lit with lamps burning rapeseed oil was implemented. During a formal audience with the Austrian Emperor and in subsequent memoranda, he advocated reorganizing the Austrian economy, reforming the coinage of much of central Europe, negotiating a Concordat between the Habsburgs and the Vatican, and creating an imperial research library, official archive, and public insurance fund. He wrote and published an important paper on mechanics.
Leibniz also wrote a short paper, first published by Louis Couturat in 1903,[68] summarizing his views on metaphysics. The paper is undated; that he wrote it while in Vienna was determined only in 1999, when the ongoing critical edition finally published Leibniz's philosophical writings for the period 1677–90. Couturat's reading of this paper was the launching point for much 20th-century thinking about Leibniz, especially among analytic philosophers. But after a meticulous study of all of Leibniz's philosophical writings up to 1688—a study the 1999 additions to the critical edition made possible—Mercer (2001) begged to differ with Couturat's reading; the jury is still out.
Posthumous reputation[link]
As a mathematician and philosopher[link]
When Leibniz died, his reputation was in decline. He was remembered for only one book, the Théodicée, whose supposed central argument Voltaire lampooned in his Candide. Voltaire's depiction of Leibniz's ideas was so influential that many believed it to be an accurate description. Thus Voltaire and his Candide bear some of the blame for the lingering failure to appreciate and understand Leibniz's ideas. Leibniz had an ardent disciple, Christian Wolff, whose dogmatic and facile outlook did Leibniz's reputation much harm. He also influenced David Hume who read his Théodicée and used some of his ideas.[69] In any event, philosophical fashion was moving away from the rationalism and system building of the 17th century, of which Leibniz had been such an ardent proponent. His work on law, diplomacy, and history was seen as of ephemeral interest. The vastness and richness of his correspondence went unrecognized.
Much of Europe came to doubt that Leibniz had discovered the calculus independently of Newton, and hence his whole work in mathematics and physics was neglected. Voltaire, an admirer of Newton, also wrote Candide at least in part to discredit Leibniz's claim to having discovered the calculus and Leibniz's charge that Newton's theory of universal gravitation was incorrect.[citation needed] The rise of relativity and subsequent work in the history of mathematics has put Leibniz's stance in a more favorable light.
Leibniz's long march to his present glory began with the 1765 publication of the Nouveaux Essais, which Kant read closely. In 1768, Dutens edited the first multi-volume edition of Leibniz's writings, followed in the 19th century by a number of editions, including those edited by Erdmann, Foucher de Careil, Gerhardt, Gerland, Klopp, and Mollat. Publication of Leibniz's correspondence with notables such as Antoine Arnauld, Samuel Clarke, Sophia of Hanover, and her daughter Sophia Charlotte of Hanover, began.
In 1900, Bertrand Russell published a critical study of Leibniz's metaphysics.[70] Shortly thereafter, Louis Couturat published an important study of Leibniz, and edited a volume of Leibniz's heretofore unpublished writings, mainly on logic. They made Leibniz somewhat respectable among 20th-century analytical and linguistic philosophers in the English-speaking world (Leibniz had already been of great influence to many Germans such as Bernhard Riemann). For example, Leibniz's phrase salva veritate, meaning interchangeability without loss of or compromising the truth, recurs in Willard Quine's writings. Nevertheless, the secondary English-language literature on Leibniz did not really blossom until after World War II. This is especially true of English speaking countries; in Gregory Brown's bibliography fewer than 30 of the English language entries were published before 1946. American Leibniz studies owe much to Leroy Loemker (1904–85) through his translations and his interpretive essays in LeClerc (1973).
Nicholas Jolley has surmised that Leibniz's reputation as a philosopher is now perhaps higher than at any time since he was alive.[71] Analytic and contemporary philosophy continue to invoke his notions of identity, individuation, and possible worlds, while the doctrinaire contempt for metaphysics, characteristic of analytic and linguistic philosophy, has faded[citation needed]. Work in the history of 17th- and 18th-century ideas has revealed more clearly the 17th-century "Intellectual Revolution" that preceded the better-known Industrial and commercial revolutions of the 18th and 19th centuries. The 17th- and 18th-century belief that natural science, especially physics, differs from philosophy mainly in degree and not in kind, is no longer dismissed out of hand. That modern science includes a "scholastic" as well as a "radical empiricist" element is more accepted now than in the early 20th century. Leibniz's thought is now seen as a major prolongation of the mighty endeavor begun by Plato and Aristotle: the universe and man's place in it are amenable to human reason.
In 1985, the German government created the Leibniz Prize, offering an annual award of 1.55 million euros for experimental results and 770,000 euros for theoretical ones. It is the world's largest prize for scientific achievement.
The collection of manuscript papers of Leibniz at the Gottfried Wilhelm Leibniz Bibliothek – Niedersächische Landesbibliothek were inscribed on UNESCO’s Memory of the World Register in 2007.[72]
Leibniz biscuits[link]
Leibniz-Keks, a popular brand of biscuits, are named after Gottfried Leibniz. These biscuits honour Leibniz because he was a resident of Hanover, where the company is based.[73]
Writings and edition[link]
Leibniz mainly wrote in three languages: scholastic Latin, French and German. During his lifetime, he published many pamphlets and scholarly articles, but only two "philosophical" books, the Combinatorial Art and the Théodicée. (He published numerous pamphlets, often anonymous, on behalf of the House of Brunswick-Lüneburg, most notably the "De jure suprematum" a major consideration of the nature of sovereignty.) One substantial book appeared posthumously, his Nouveaux essais sur l'entendement humain, which Leibniz had withheld from publication after the death of John Locke. Only in 1895, when Bodemann completed his catalogues of Leibniz's manuscripts and correspondence, did the enormous extent of Leibniz's Nachlass become clear: about 15,000 letters to more than 1000 recipients plus more than 40,000 other items. Moreover, quite a few of these letters are of essay length. Much of his vast correspondence, especially the letters dated after 1685, remains unpublished, and much of what is published has been so only in recent decades. The amount, variety, and disorder of Leibniz's writings are a predictable result of a situation he described in a letter as follows:
I cannot tell you how extraordinarily distracted and spread out I am. I am trying to find various things in the archives; I look at old papers and hunt up unpublished documents. From these I hope to shed some light on the history of the [House of] Brunswick. I receive and answer a huge number of letters. At the same time, I have so many mathematical results, philosophical thoughts, and other literary innovations that should not be allowed to vanish that I often do not know where to begin.[74]
The extant parts of the critical edition[75] of Leibniz's writings are organized as follows:
- Series 1. Political, Historical, and General Correspondence. 21 vols., 1666–1701.
- Series 2. Philosophical Correspondence. 1 vol., 1663–85.
- Series 3. Mathematical, Scientific, and Technical Correspondence. 6 vols., 1672–96.
- Series 4. Political Writings. 6 vols., 1667–98.
- Series 5. Historical and Linguistic Writings. Inactive.
- Series 6. Philosophical Writings. 7 vols., 1663–90, and Nouveaux essais sur l'entendement humain.
- Series 7. Mathematical Writings. 3 vols., 1672–76.
- Series 8. Scientific, Medical, and Technical Writings. In preparation.
The systematic cataloguing of all of Leibniz's Nachlass began in 1901. It was hampered by two world wars, the Nazi dictatorship (with the Holocaust, which affected a Jewish employee of the project, and other personal consequences), and decades of German division (two states with the cold war's "iron curtain" in between, separating scholars and also scattering portions of his literary estates). The ambitious project has had to deal with seven languages contained in some 200,000 pages of written and printed paper. In 1985 it was reorganized and included in a joint program of German federal and state (Länder) academies. Since then the branches in Potsdam, Münster, Hannover and Berlin have jointly published 25 volumes of the critical edition, with an average of 870 pages, and prepared index and concordance works.
Selected works[link]
The year given is usually that in which the work was completed, not of its eventual publication.
- 1666. De Arte Combinatoria (On the Art of Combination); partially translated in Loemker §1 and Parkinson (1966).
- 1671. Hypothesis Physica Nova (New Physical Hypothesis); Loemker §8.I (partial).
- 1673 Confessio philosophi (A Philosopher's Creed); an English translation is available.
- 1684. Nova methodus pro maximis et minimis (New method for maximums and minimums); translated in Struik, D. J., 1969. A Source Book in Mathematics, 1200–1800. Harvard University Press: 271–81.
- 1686. Discours de métaphysique; Martin and Brown (1988), Ariew and Garber 35, Loemker §35, Wiener III.3, Woolhouse and Francks 1. An online translation by Jonathan Bennett is available.
- 1703. Explication de l'Arithmétique Binaire (Explanation of Binary Arithmetic); Gerhardt, Mathematical Writings VII.223. An online translation by Lloyd Strickland is available.
- 1710. Théodicée; Farrer, A.M., and Huggard, E.M., trans., 1985 (1952). Wiener III.11 (part). An online translation is available at Project Gutenberg.
- 1714. Monadologie; translated by Nicholas Rescher, 1991. The Monadology: An Edition for Students. University of Pittsburg Press. Ariew and Garber 213, Loemker §67, Wiener III.13, Woolhouse and Francks 19. Online translations: Jonathan Bennett's translation; Latta's translation; French, Latin and Spanish edition, with facsimile of Leibniz's manuscript.
- 1765. Nouveaux essais sur l'entendement humain; completed in 1704. Remnant, Peter, and Bennett, Jonathan, trans., 1996. New Essays on Human Understanding. Cambridge University Press. Wiener III.6 (part). An online translation by Jonathan Bennett is available.
Collections[link]
Five important collections of English translations are Wiener (1951), Loemker (1969), Ariew and Garber (1989), Woolhouse and Francks (1998), and Strickland (2006). The ongoing critical edition of all of Leibniz's writings is Sämtliche Schriften und Briefe.[75]
See also[link]
- General Leibniz rule
- German inventors and discoverers
- Gottfried Wilhelm Leibniz Scientific Community
- Gottfried Wilhelm Leibniz Universität Hannover
- Leibniz formula for π
- Leibniz formula for determinants
- Leibniz harmonic triangle
- Leibniz integral rule for differentiation under the integral sign
- Leibniz test
- Leibniz's notation
- Leibniz operator
- Leibniz–Clarke correspondence
- Newton v. Leibniz calculus controversy
- Scientific Revolution
- Stepped Reckoner – A mechanical calculator
- Transcendental Law of Homogeneity
Notes[link]
- ^ Max Mangold (ed.), ed. (2005) (in German). Duden-Aussprachewörterbuch (Duden Pronunciation Dictionary) (7th ed.). Mannheim: Bibliographisches Institut GmbH. ISBN 978-3-411-04066-7.
- ^ Eva-Maria Krech et al. (ed.), ed. (2010) (in German). Deutsches Aussprachewörterbuch (German Pronunciation Dictionary) (1st ed.). Berlin: Walter de Gruyter GmbH & Co. KG. ISBN 978-3-11-018203-3.
- ^ www.gwlb.de. Leibniz-Nachlass (i.e. Legacy of Leibniz), Gottfried Wilhelm Leibniz Bibliothek (one of the three Official Libraries of the German state Lower Saxony).
- ^ David Smith, p.173-181 (1929)
- ^ Baird, Forrest E.; Walter Kaufmann (2008). From Plato to Derrida. Upper Saddle River, New Jersey: Pearson Prentice Hall. ISBN 0-13-158591-6.
- ^ [1] Leibnitiana
- ^ Comenius in England, Oxford University Press 1932, p. 6
- ^ [2] Poland and Germany, Studies Centre on Polish-German Affairs, Greenwood press 1994, p. 30
- ^ Mackie (1845), 21
- ^ Mackie (1845), 22
- ^ Mackie (1845), 26
- ^ Jolley, Nicholas (1995). The Cambridge Companion to Leibniz. Cambridge University Press. :20
- ^ Mackie (1845), 38
- ^ Mackie (1845), 39
- ^ Mackie (1845), 40
- ^ Aiton 1985: 312
- ^ Mackie (1845), 41-42
- ^ Mackie (1845), 43
- ^ Mackie (1845), 44-45
- ^ Mackie (1845), 58-61
- ^ Mackie (1845), 69-70
- ^ Mackie (1845), 73-74
- ^ On the encounter between Newton and Leibniz and a review of the evidence, see Alfred Rupert Hall, Philosophers at War: The Quarrel Between Newton and Leibniz (Cambridge, 2002), pp. 44–69.
- ^ Mackie (1845), 117-118
- ^ For a recent study of Leibniz's correspondence with Sophia Charlotte, see MacDonald Ross (1998).
- ^ Mackie (1845), 109
- ^ See Wiener IV.6 and Loemker § 40. Also see a curious passage titled "Leibniz's Philosophical Dream," first published by Bodemann in 1895 and translated on p. 253 of Morris, Mary, ed. and trans., 1934. Philosophical Writings. Dent & Sons Ltd.
- ^ Ariew & Garber, 69; Loemker, §§36, 38
- ^ Ariew & Garber, 138; Loemker, §47; Wiener, II.4
- ^ Ariew & Garber, 272–84; Loemker, §§14, 20, 21; Wiener, III.8
- ^ Mates (1986), chpts. 7.3, 9
- ^ Loemker 717
- ^ See Jolley (1995: 129–31), Woolhouse and Francks (1998), and Mercer (2001).
- ^ Loemker 311
- ^ For a precis of what Leibniz meant by these and other Principles, see Mercer (2001: 473–84). For a classic discussion of Sufficient Reason and Plenitude, see Lovejoy (1957).
- ^ Rutherford (1998) is a detailed scholarly study of Leibniz's theodicy.
- ^ Magill, Frank (ed.). Masterpieces of World Philosophy. New York: Harper Collins (1990).
- ^ Magill, Frank (ed.) (1990)
- ^ The Art of Discovery 1685, Wiener 51
- ^ Many of his memoranda are translated in Parkinson 1966.
- ^ Loemker, however, who translated some of Leibniz's works into English, said that the symbols of chemistry were real characters, so there is disagreement among Leibniz scholars on this point.
- ^ Preface to the General Science, 1677. Revision of Rutherford's translation in Jolley 1995: 234. Also Wiener I.4
- ^ A good introductory discussion of the "characteristic" is Jolley (1995: 226–40). An early, yet still classic, discussion of the "characteristic" and "calculus" is Couturat (1901: chpts. 3,4).
- ^ Struik (1969), 367
- ^ Jesseph, Douglas M. (1998). "Leibniz on the Foundations of the Calculus: The Question of the Reality of Infinitesimal Magnitudes". Perspectives on Science 6.1&2: 6–40. http://muse.jhu.edu/journals/perspectives_on_science/v006/6.1jesseph.html. Retrieved 31 December 2011.
- ^ For an English translation of this paper, see Struik (1969: 271–84), who also translates parts of two other key papers by Leibniz on the calculus.
- ^ Katz, Mikhail; Sherry, David (2012), "Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond", Erkenntnis, arXiv:1205.0174, DOI:10.1007/s10670-012-9370-y
- ^ Loemker §27
- ^ Mates (1986), 240
- ^ HIRANO, Hideaki. "Leibniz's Cultural Pluralism And Natural Law". http://www.t.hosei.ac.jp/~hhirano/academia/leibniz.htm. Retrieved March 10, 2010.
- ^ Mandelbrot (1977), 419. Quoted in Hirano (1997).
- ^ Ariew and Garber 117, Loemker §46, W II.5. On Leibniz and physics, see the chapter by Garber in Jolley (1995) and Wilson (1989).
- ^ See Ariew and Garber 155–86, Loemker §§53–55, W II.6–7a)
- ^ On Leibniz and biology, see Loemker (1969a: VIII).
- ^ On Leibniz and psychology, see Loemker (1969a: IX).
- ^ Aiton (1985), 107–114, 136
- ^ Davis (2000) discusses Leibniz's prophetic role in the emergence of calculating machines and of formal languages.
- ^ See Couturat (1901): 473–78.
- ^ Couturat (1901), 115
- ^ The Reality Club: Wake Up Call for Europe Tech
- ^ On Leibniz’s projects for scientific societies, see Couturat (1901), App. IV.
- ^ See, for example, Ariew and Garber 19, 94, 111, 193; Riley 1988; Loemker §§2, 7, 20, 29, 44, 59, 62, 65; W I.1, IV.1–3
- ^ See (in order of difficulty) Jolley (2005: chpt. 7), Gregory Brown's chapter in Jolley (1995), Hostler (1975), and Riley (1996).
- ^ Loemker: 59, fn 16. Translation revised.
- ^ Loemker: 58, fn 9
- ^ a b c Mungello, David E. (1971). "Leibniz's Interpretation of Neo-Confucianism". Philosophy East and West 21 (1): 3–22. DOI:10.2307/1397760.
- ^ On Leibniz, the I Ching, and binary numbers, see Aiton (1985: 245–48). Leibniz's writings on Chinese civilization are collected and translated in Cook and Rosemont (1994), and discussed in Perkins (2004).
- ^ Later translated as Loemker 267 and Woolhouse and Francks 30
- ^ Vasilyev, 1993
- ^ Russell, 1900
- ^ Jolley, 217–19
- ^ "Letters from and to Gottfried Wilhelm Leibniz within the collection of manuscript papers of Gottfried Wilhelm Leibniz". UNESCO Memory of the World Programme. 2008-05-16. http://portal.unesco.org/ci/en/ev.php-URL_ID=22464&URL_DO=DO_TOPIC&URL_SECTION=201.html. Retrieved 2009-12-15.
- ^ "Bahlsen products FAQ". http://www.bahlsen.de/root_bahlsen_anim/index.php.
- ^ 1695 letter to Vincent Placcius in Gerhardt.
- ^ a b www.leibniz-edition.de. See photograph there.
References[link]
Primary literature[link]
- Alexander, H G (ed) The Leibniz-Clarke Correspondence. Manchester: Manchester University Press, 1956.
- Ariew, R & D Garber, 1989. Leibniz: Philosophical Essays. Hackett.
- Arthur, Richard, 2001. The Labyrinth of the Continuum: Writings on the Continuum Problem, 1672–1686. Yale University Press.
- Cohen, Claudine and Wakefield, Andre, 2008. Protogaea. University of Chicago Press.
- Cook, Daniel, and Rosemont, Henry Jr., 1994. Leibniz: Writings on China. Open Court.
- Loemker, Leroy, 1969 (1956). Leibniz: Philosophical Papers and Letters. Reidel.
- Remnant, Peter, and Bennett, Jonathan, 1996 (1981). Leibniz: New Essays on Human Understanding. Cambridge University Press.
- Riley, Patrick, 1988. Leibniz: Political Writings. Cambridge University Press.
- Sleigh, Robert C., Look, Brandon, and Stam, James, 2005. Confessio Philosophi: Papers Concerning the Problem of Evil, 1671–1678. Yale University Press.
- Strickland, Lloyd, 2006. The Shorter Leibniz Texts: A Collection of New Translations. Continuum.
- Ward, A. W. Leibniz as a Politician (lecture, 1911)
- Wiener, Philip, 1951. Leibniz: Selections. Scribner.
- Woolhouse, R.S., and Francks, R., 1998. Leibniz: Philosophical Texts. Oxford University Press.
Secondary literature[link]
- Adams, Robert Merrihew. Lebniz: Determinist, Theist, Idealist. New York: Oxford, Oxford University Press, 1994.
- Aiton, Eric J., 1985. Leibniz: A Biography. Hilger (UK).
- Antognazza, M.R.(2008) Leibniz: An Intellectual Biography. Cambridge Univ. Press.
- Barrow, John D.; Tipler, Frank J. (19 May 1988). The Anthropic Cosmological Principle. foreword by John A. Wheeler. Oxford: Oxford University Press. ISBN 9780192821478. LC 87-28148. http://books.google.com/books?id=uSykSbXklWEC&printsec=frontcover. Retrieved 31 December 2009.
- Albeck-Gidron, Rachel, The Century of the Monads: Leibniz's Metaphysics and 20th-Century Modernity, Bar-Ilan University Press.
- Bos, H. J. M. (1974) "Differentials, higher-order differentials and the derivative in the Leibnizian calculus," Arch. History Exact Sci. 14: 1—90.
- Couturat, Louis, 1901. La Logique de Leibniz. Paris: Felix Alcan.
- Davis, Martin, 2000. The Universal Computer: The Road from Leibniz to Turing. WW Norton.
- Deleuze, Gilles, 1993. The Fold: Leibniz and the Baroque. University of Minnesota Press.
- Du Bois-Reymond, Paul, 18nn. "Leibnizian Thoughts in Modern Science".
- Finster, Reinhard & Gerd van den Heuvel. Gottfried Wilhelm Leibniz. Mit Selbstzeugnissen und Bilddokumenten. 4. Auflage. Rowohlt, Reinbek bei Hamburg 2000 (Rowohlts Monographien, 50481), ISBN 3-499-50481-2.
- Grattan-Guinness, Ivor, 1997. The Norton History of the Mathematical Sciences. W W Norton.
- Hall, A. R., 1980. Philosophers at War: The Quarrel between Newton and Leibniz. Cambridge University Press.
- Heidegger, Martin, 1983. The Metaphysical Foundations of Logic. Indiana University Press.
- Hirano, Hideaki, 1997. "Cultural Pluralism And Natural Law." Unpublished.
- Hostler, J., 1975. Leibniz's Moral Philosophy. UK: Duckworth.
- Jolley, Nicholas, ed., 1995. The Cambridge Companion to Leibniz. Cambridge University Press.
- LeClerc, Ivor, ed., 1973. The Philosophy of Leibniz and the Modern World. Vanderbilt University Press.
- Lovejoy, Arthur O., 1957 (1936) "Plenitude and Sufficient Reason in Leibniz and Spinoza" in his The Great Chain of Being. Harvard University Press: 144–82. Reprinted in Frankfurt, H. G., ed., 1972. Leibniz: A Collection of Critical Essays. Anchor Books.
- Mandelbrot, Benoît, 1977. The Fractal Geometry of Nature. Freeman.
- Mackie, John Milton; Guhrauer, Gottschalk Eduard, 1845. Life of Godfrey William von Leibnitz. Gould, Kendall and Lincoln.
- Mates, Benson, 1986. The Philosophy of Leibniz: Metaphysics and Language. Oxford University Press.
- Mercer, Christia, 2001. Leibniz's metaphysics: Its Origins and Development. Cambridge University Press.
- Morris, Simon Conway, 2003. Life's Solution: Inevitable Humans in a Lonely Universe. Cambridge University Press.
- Perkins, Franklin, 2004. Leibniz and China: A Commerce of Light. Cambridge University Press.
- Rensoli, Lourdes, 2002. El problema antropologico en la concepcion filosofica de G. W. Leibniz. Leibnitius Politechnicus. Universidad Politecnica de Valencia.
- Riley, Patrick, 1996. Leibniz's Universal Jurisprudence: Justice as the Charity of the Wise. Harvard University Press.
- Rutherford, Donald, 1998. Leibniz and the Rational Order of Nature. Cambridge University Press.
- Struik, D. J., 1969. A Source Book in Mathematics, 1200–1800. Harvard University Press.
- Ward, P. D., and Brownlee, D., 2000. Rare Earth: Why Complex Life is Uncommon in the Universe. Springer Verlag.
- Wilson, Catherine, 1989. 'Leibniz's Metaphysics. Princeton University Press.
- Zalta, E. N., 2000. "A (Leibnizian) Theory of Concepts", Philosophiegeschichte und logische Analyse / Logical Analysis and History of Philosophy 3: 137–183.
- Smith, David Eugene (1929). A Source Book in Mathematics. New York and London: McGraw-Hill Book Company, Inc..
External links[link]
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- An extensive bibliography
- Internet Encyclopedia of Philosophy: "Leibniz" – Douglas Burnham.
- Stanford Encyclopedia of Philosophy. Articles on Leibniz.
- O'Connor, John J.; Robertson, Edmund F., "Gottfried Wilhelm Leibniz", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Leibniz.html .
- George MacDonald Ross, Leibniz, Originally published: Oxford University Press (Past Masters) 1984; Electronic edition: Leeds Electronic Text Centre July 2000
- Gottfried Wilhelm Leibniz at the Mathematics Genealogy Project
- Works by Gottfried Leibniz at Project Gutenberg
- Gottfried Wilhelm Leibniz at the Open Directory Project
- translations by Jonathan Bennett, of the New Essays, the exchanges with Bayle, Arnauld and Clarke, and about 15 shorter works.
- Leibnitiana – Gregory Brown.
- Gottfried Wilhelm Leibniz: Texts and Translations, compiled by Donald Rutherford, UCSD
- Leibniz-translations.com Scroll down for many Leibniz links.
- Leibniz Prize.
- Philosophical Works of Leibniz translated by G.M. Duncan
- Leibnitiana, links and resources compiled by Gregory Brown, University of Houston.
- Leibnizian Resources, many links organized by Markku Roinila, University of Helsinki.
| Persondata | |
|---|---|
| Name | Leibniz, Gottfried Wilhelm |
| Alternative names | Leibnitz, Gottfried Wilhelm; Leibniz, Gottfried Wilhelm von; von Leibniz, Gottfried Wilhelm |
| Short description | German philoospher |
| Date of birth | 1646-7-1 |
| Place of birth | Leipzig, Germany |
| Date of death | 1716-11-14 |
| Place of death | Hanover, Germany |
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Anthony Meredith Quinton, Baron Quinton (March 25, 1925[1] – June 19, 2010[2]) was a British political and moral philosopher, metaphysician, and materialist philosopher of mind.
Contents |
Life[link]
A fellow of All Souls, he became a Fellow of New College, Oxford in 1955, and was President of Trinity College, Oxford from 1978 to 1987.
He was president of the Aristotelian Society from 1975 to 1976. He was Chairman of the Board of the British Library from 1985-1990.
In 1983, he was made a life peer as Baron Quinton, of Holywell in the City of Oxford and County of Oxfordshire.
To BBC Radio audiences, Anthony Quinton became well known as a presenter of the long-running Round Britain Quiz.
His Shortest Definition of Philosophy[link]
| “ | The shortest definition, and it is quite a good one, is that philosophy is thinking about thinking. That brings out the generally second-order character of the subject, as reflective thought about particular kinds of thinking - formation of beliefs, claims to knowledge - about the world or large parts of it. -- The Oxford Companion to Philosophy, p. 666 (1st ed.) | ” |
His longer definition[link]
| “ | Philosophy is rationally critical thinking, of a more or less systematic kind about the general nature of the world (metaphysics or theory of existence), the justification of belief (epistemology or theory of knowledge), and the conduct of life (ethics or theory of value). Each of the three elements in this list has a non-philosophical counterpart, from which it is distinguished by its explicitly rational and critical way of proceeding and by its systematic nature. Everyone has some general conception of the nature of the world in which they live and of their place in it. Metaphysics replaces the unargued assumptions embodied in such a conception with a rational and organized body of beliefs about the world as a whole. Everyone has occasion to doubt and question beliefs, their own or those of others, with more or less success and without any theory of what they are doing. Epistemology seeks by argument to make explicit the rules of correct belief formation. Everyone governs their conduct by directing it to desired or valued ends. Ethics, or moral philosophy, in its most inclusive sense, seeks to articulate, in rationally systematic form, the rules or principles involved. ibid | ” |
Writings[link]
- The Nature of Things, (London, 1973)
- The Politics of Imperfection: The Religious and Secular Traditions of Conservative Thought in England from Hooker to Oakeshott
- Utilitarian Ethics (1973)
- Francis Bacon (Oxford, 1980)
- Thoughts and Thinkers (1982)
- From Wodehouse To Wittgenstein (1998)
References[link]
External links[link]
| Academic offices | ||
|---|---|---|
| Preceded by Alexander George Ogston |
President of Trinity College, Oxford 1978–1987 |
Succeeded by John Burgh |
| Persondata | |
|---|---|
| Name | Quinton, Anthony |
| Alternative names | |
| Short description | |
| Date of birth | March 25, 1925 |
| Place of birth | |
| Date of death | June 19, 2010 |
| Place of death | |
| This biography of a British philosopher is a stub. You can help Wikipedia by expanding it. |
| This biography of a life peer is a stub. You can help Wikipedia by expanding it. |
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| Sir Isaac Newton | |
|---|---|
 Godfrey Kneller's 1689 portrait of Isaac Newton (age 46) |
|
| Born | (1642-12-25)25 December 1642 [NS: 4 January 1643][1] Woolsthorpe-by-Colsterworth Lincolnshire, England |
| Died | 20 March 1727(1727-03-20) (aged 84) [NS: 31 March 1727][1] Kensington, Middlesex, England |
| Residence | England |
| Nationality | English |
| Fields | Physics, mathematics, astronomy, natural philosophy, alchemy, Christian theology |
| Institutions | University of Cambridge Royal Society Royal Mint |
| Alma mater | Trinity College, Cambridge |
| Academic advisors | Isaac Barrow[2] Benjamin Pulleyn[3][4] |
| Notable students | Roger Cotes William Whiston |
| Known for | Newtonian mechanics Universal gravitation Infinitesimal calculus Optics Binomial series Newton's method Philosophiæ Naturalis Principia Mathematica |
| Influences | Henry More[5] Polish Brethren[6] |
| Influenced | Nicolas Fatio de Duillier John Keill |
Signature |
|
Sir Isaac Newton PRS MP (25 December 1642 – 20 March 1727 [NS: 4 January 1643 – 31 March 1727])[1] was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived."[7] His monograph Philosophiæ Naturalis Principia Mathematica, published in 1687, lays the foundations for most of classical mechanics. In this work, Newton described universal gravitation and the three laws of motion, which dominated the scientific view of the physical universe for the next three centuries. Newton showed that the motions of objects on Earth and of celestial bodies are governed by the same set of natural laws, by demonstrating the consistency between Kepler's laws of planetary motion and his theory of gravitation, thus removing the last doubts about heliocentrism and advancing the Scientific Revolution.
The Principia is generally considered to be one of the most important scientific books ever written, due, independently, to the specific physical laws the work successfully described, and for the style of the work, which assisted in setting standards for scientific publication down to the present time. Newton built the first practical reflecting telescope[8] and developed a theory of colour based on the observation that a prism decomposes white light into the many colours that form the visible spectrum. He also formulated an empirical law of cooling and studied the speed of sound. In mathematics, Newton shares the credit with Gottfried Leibniz for the development of differential and integral calculus. He also demonstrated the generalised binomial theorem, developed Newton's method for approximating the roots of a function, and contributed to the study of power series. Newton's work on infinite series was inspired by Simon Stevin's decimals.[9] Newton, although an unorthodox Christian, was deeply religious, and wrote more on Biblical hermeneutics and occult studies than on science and mathematics. Newton secretly rejected Trinitarianism, and feared being accused of refusing holy orders.[10]
Contents |
Life[link]
Early life[link]
Main article: Early life of Isaac Newton
Isaac Newton was born on what is retroactively considered 4 January 1643 [OS: 25 December 1642][1] at Woolsthorpe Manor in Woolsthorpe-by-Colsterworth, a hamlet in the county of Lincolnshire. At the time of Newton's birth, England had not adopted the Gregorian calendar and therefore his date of birth was recorded as Christmas Day, 25 December 1642. Newton was born three months after the death of his father, a prosperous farmer also named Isaac Newton. Born prematurely, he was a small child; his mother Hannah Ayscough reportedly said that he could have fit inside a quart mug (≈ 1.1 litres). When Newton was three, his mother remarried and went to live with her new husband, the Reverend Barnabus Smith, leaving her son in the care of his maternal grandmother, Margery Ayscough. The young Isaac disliked his stepfather and maintained some enmity towards his mother for marrying him, as revealed by this entry in a list of sins committed up to the age of 19: "Threatening my father and mother Smith to burn them and the house over them."[11] Although it was claimed that he was once engaged,[12] Newton never married.
From the age of about twelve until he was seventeen, Newton was educated at The King's School, Grantham (where his alleged signature can still be seen upon a library window sill).[1][citation needed] He was removed from school, and by October 1659, he was to be found at Woolsthorpe-by-Colsterworth, where his mother, widowed by now for a second time, attempted to make a farmer of him. He hated farming.[13] Henry Stokes, master at the King's School, persuaded his mother to send him back to school so that he might complete his education. Motivated partly by a desire for revenge against a schoolyard bully, he became the top-ranked student.[14] The Cambridge psychologist Simon Baron-Cohen considers it "fairly certain" that Newton had Asperger syndrome.[15]
In June 1661, he was admitted to Trinity College, Cambridge as a sizar – a sort of work-study role.[16] At that time, the college's teachings were based on those of Aristotle, whom Newton supplemented with modern philosophers, such as Descartes, and astronomers such as Copernicus, Galileo, and Kepler. In 1665, he discovered the generalised binomial theorem and began to develop a mathematical theory that later became infinitesimal calculus. Soon after Newton had obtained his degree in August 1665, the university temporarily closed as a precaution against the Great Plague. Although he had been undistinguished as a Cambridge student,[17] Newton's private studies at his home in Woolsthorpe over the subsequent two years saw the development of his theories on calculus,[18] optics and the law of gravitation. In 1667, he returned to Cambridge as a fellow of Trinity.[19] Fellows were required to become ordained priests, something Newton desired to avoid due to his unorthodox views. Luckily for Newton, there was no specific deadline for ordination and it could be postponed indefinitely. The problem became more severe later when Newton was elected for the prestigious Lucasian Chair. For such a significant appointment, ordaining normally could not be dodged. Nevertheless, Newton managed to avoid it by means of a special permission from Charles II (see "Middle years" section below).
Middle years[link]
Mathematics[link]
Newton's work has been said "to distinctly advance every branch of mathematics then studied".[20] His work on the subject usually referred to as fluxions or calculus, seen in a manuscript of October 1666, is now published among Newton's mathematical papers.[21] The author of the manuscript De analysi per aequationes numero terminorum infinitas, sent by Isaac Barrow to John Collins in June 1669, was identified by Barrow in a letter sent to Collins in August of that year as:[22]
Mr Newton, a fellow of our College, and very young ... but of an extraordinary genius and proficiency in these things.
Newton later became involved in a dispute with Leibniz over priority in the development of infinitesimal calculus. Most modern historians believe that Newton and Leibniz developed infinitesimal calculus independently, although with very different notations. Occasionally it has been suggested that Newton published almost nothing about it until 1693, and did not give a full account until 1704, while Leibniz began publishing a full account of his methods in 1684. (Leibniz's notation and "differential Method", nowadays recognised as much more convenient notations, were adopted by continental European mathematicians, and after 1820 or so, also by British mathematicians.) Such a suggestion, however, fails to notice the content of calculus which critics of Newton's time and modern times have pointed out in Book 1 of Newton's Principia itself (published 1687) and in its forerunner manuscripts, such as De motu corporum in gyrum ("On the motion of bodies in orbit"), of 1684. The Principia is not written in the language of calculus either as we know it or as Newton's (later) 'dot' notation would write it. But his work extensively uses an infinitesimal calculus in geometric form, based on limiting values of the ratios of vanishing small quantities: in the Principia itself Newton gave demonstration of this under the name of 'the method of first and last ratios'[23] and explained why he put his expositions in this form,[24] remarking also that 'hereby the same thing is performed as by the method of indivisibles'.
Because of this, the Principia has been called "a book dense with the theory and application of the infinitesimal calculus" in modern times[25] and "lequel est presque tout de ce calcul" ('nearly all of it is of this calculus') in Newton's time.[26] His use of methods involving "one or more orders of the infinitesimally small" is present in his De motu corporum in gyrum of 1684[27] and in his papers on motion "during the two decades preceding 1684".[28]
Newton had been reluctant to publish his calculus because he feared controversy and criticism.[29] He was close to the Swiss mathematician Nicolas Fatio de Duillier. In 1691, Duillier started to write a new version of Newton's Principia, and corresponded with Leibniz.[30] In 1693 the relationship between Duillier and Newton deteriorated, and the book was never completed.
Starting in 1699, other members of the Royal Society (of which Newton was a member) accused Leibniz of plagiarism, and the dispute broke out in full force in 1711. The Royal Society proclaimed in a study that it was Newton who was the true discoverer and labelled Leibniz a fraud. This study was cast into doubt when it was later found that Newton himself wrote the study's concluding remarks on Leibniz. Thus began the bitter controversy which marred the lives of both Newton and Leibniz until the latter's death in 1716.[31]
Newton is generally credited with the generalised binomial theorem, valid for any exponent. He discovered Newton's identities, Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations. He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula), and was the first to use power series with confidence and to revert power series.
He was appointed Lucasian Professor of Mathematics in 1669 on Barrow's recommendation. In that day, any fellow of Cambridge or Oxford was required to become an ordained Anglican priest. However, the terms of the Lucasian professorship required that the holder not be active in the church (presumably so as to have more time for science). Newton argued that this should exempt him from the ordination requirement, and Charles II, whose permission was needed, accepted this argument. Thus a conflict between Newton's religious views and Anglican orthodoxy was averted.[32]
Optics[link]
From 1670 to 1672, Newton lectured on optics.[34] During this period he investigated the refraction of light, demonstrating that a prism could decompose white light into a spectrum of colours, and that a lens and a second prism could recompose the multicoloured spectrum into white light.[35] Modern scholarship has revealed that Newton's analysis and resynthesis of white light owes a debt to corpuscular alchemy. [36] .
He also showed that the coloured light does not change its properties by separating out a coloured beam and shining it on various objects. Newton noted that regardless of whether it was reflected or scattered or transmitted, it stayed the same colour. Thus, he observed that colour is the result of objects interacting with already-coloured light rather than objects generating the colour themselves. This is known as Newton's theory of colour.[37]
From this work, he concluded that the lens of any refracting telescope would suffer from the dispersion of light into colours (chromatic aberration). As a proof of the concept, he constructed a telescope using a mirror as the objective to bypass that problem.[38] Building the design, the first known functional reflecting telescope, today known as a Newtonian telescope,[38] involved solving the problem of a suitable mirror material and shaping technique. Newton ground his own mirrors out of a custom composition of highly reflective speculum metal, using Newton's rings to judge the quality of the optics for his telescopes. In late 1668[39] he was able to produce this first reflecting telescope. In 1671, the Royal Society asked for a demonstration of his reflecting telescope.[40] Their interest encouraged him to publish his notes On Colour, which he later expanded into his Opticks. When Robert Hooke criticised some of Newton's ideas, Newton was so offended that he withdrew from public debate. Newton and Hooke had brief exchanges in 1679–80, when Hooke, appointed to manage the Royal Society's correspondence, opened up a correspondence intended to elicit contributions from Newton to Royal Society transactions,[41] which had the effect of stimulating Newton to work out a proof that the elliptical form of planetary orbits would result from a centripetal force inversely proportional to the square of the radius vector (see Newton's law of universal gravitation – History and De motu corporum in gyrum). But the two men remained generally on poor terms until Hooke's death.[42]
Newton argued that light is composed of particles or corpuscles, which were refracted by accelerating into a denser medium. He verged on soundlike waves to explain the repeated pattern of reflection and transmission by thin films (Opticks Bk.II, Props. 12), but still retained his theory of ‘fits’ that disposed corpuscles to be reflected or transmitted (Props.13). Later physicists instead favoured a purely wavelike explanation of light to account for the interference patterns, and the general phenomenon of diffraction. Today's quantum mechanics, photons and the idea of wave–particle duality bear only a minor resemblance to Newton's understanding of light.
In his Hypothesis of Light of 1675, Newton posited the existence of the ether to transmit forces between particles. The contact with the theosophist Henry More, revived his interest in alchemy. He replaced the ether with occult forces based on Hermetic ideas of attraction and repulsion between particles. John Maynard Keynes, who acquired many of Newton's writings on alchemy, stated that "Newton was not the first of the age of reason: He was the last of the magicians."[43] Newton's interest in alchemy cannot be isolated from his contributions to science.[5] This was at a time when there was no clear distinction between alchemy and science. Had he not relied on the occult idea of action at a distance, across a vacuum, he might not have developed his theory of gravity. (See also Isaac Newton's occult studies.)
In 1704, Newton published Opticks, in which he expounded his corpuscular theory of light. He considered light to be made up of extremely subtle corpuscles, that ordinary matter was made of grosser corpuscles and speculated that through a kind of alchemical transmutation "Are not gross Bodies and Light convertible into one another, ...and may not Bodies receive much of their Activity from the Particles of Light which enter their Composition?"[44] Newton also constructed a primitive form of a frictional electrostatic generator, using a glass globe (Optics, 8th Query).
In an article entitled "Newton, prisms, and the 'opticks' of tunable lasers[45] it is indicated that Newton in his book Opticks was the first to show a diagram using a prism as a beam expander. In the same book he describes, via diagrams, the use of multiple-prism arrays. Some 278 years after Newton's discussion, multiple-prism beam expanders became central to the development of narrow-linewidth tunable lasers. Also, the use of these prismatic beam expanders led to the multiple-prism dispersion theory.[45]
Mechanics and gravitation[link]
Further information: Writing of Principia Mathematica
In 1679, Newton returned to his work on (celestial) mechanics, i.e., gravitation and its effect on the orbits of planets, with reference to Kepler's laws of planetary motion. This followed stimulation by a brief exchange of letters in 1679–80 with Hooke, who had been appointed to manage the Royal Society's correspondence, and who opened a correspondence intended to elicit contributions from Newton to Royal Society transactions.[41] Newton's reawakening interest in astronomical matters received further stimulus by the appearance of a comet in the winter of 1680–1681, on which he corresponded with John Flamsteed.[46] After the exchanges with Hooke, Newton worked out a proof that the elliptical form of planetary orbits would result from a centripetal force inversely proportional to the square of the radius vector (see Newton's law of universal gravitation – History and De motu corporum in gyrum). Newton communicated his results to Edmond Halley and to the Royal Society in De motu corporum in gyrum, a tract written on about 9 sheets which was copied into the Royal Society's Register Book in December 1684.[47] This tract contained the nucleus that Newton developed and expanded to form the Principia.
The Principia was published on 5 July 1687 with encouragement and financial help from Edmond Halley. In this work, Newton stated the three universal laws of motion that enabled many of the advances of the Industrial Revolution which soon followed and were not to be improved upon for more than 200 years, and are still the underpinnings of the non-relativistic technologies of the modern world. He used the Latin word gravitas (weight) for the effect that would become known as gravity, and defined the law of universal gravitation.
In the same work, Newton presented a calculus-like method of geometrical analysis by 'first and last ratios', gave the first analytical determination (based on Boyle's law) of the speed of sound in air, inferred the oblateness of the spheroidal figure of the Earth, accounted for the precession of the equinoxes as a result of the Moon's gravitational attraction on the Earth's oblateness, initiated the gravitational study of the irregularities in the motion of the moon, provided a theory for the determination of the orbits of comets, and much more.
Newton made clear his heliocentric view of the solar system – developed in a somewhat modern way, because already in the mid-1680s he recognised the "deviation of the Sun" from the centre of gravity of the solar system.[48] For Newton, it was not precisely the centre of the Sun or any other body that could be considered at rest, but rather "the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World", and this centre of gravity "either is at rest or moves uniformly forward in a right line" (Newton adopted the "at rest" alternative in view of common consent that the centre, wherever it was, was at rest).[49]
Newton's postulate of an invisible force able to act over vast distances led to him being criticised for introducing "occult agencies" into science.[50] Later, in the second edition of the Principia (1713), Newton firmly rejected such criticisms in a concluding General Scholium, writing that it was enough that the phenomena implied a gravitational attraction, as they did; but they did not so far indicate its cause, and it was both unnecessary and improper to frame hypotheses of things that were not implied by the phenomena. (Here Newton used what became his famous expression Hypotheses non fingo).
With the Principia, Newton became internationally recognised.[51] He acquired a circle of admirers, including the Swiss-born mathematician Nicolas Fatio de Duillier, with whom he formed an intense relationship. This abruptly ended in 1693, and at the same time Newton suffered a nervous breakdown.[52]
Later life[link]
Main article: Later life of Isaac Newton
In the 1690s, Newton wrote a number of religious tracts dealing with the literal interpretation of the Bible. Henry More's belief in the Universe and rejection of Cartesian dualism may have influenced Newton's religious ideas. A manuscript he sent to John Locke in which he disputed the existence of the Trinity was never published. Later works – The Chronology of Ancient Kingdoms Amended (1728) and Observations Upon the Prophecies of Daniel and the Apocalypse of St. John (1733) – were published after his death. He also devoted a great deal of time to alchemy (see above).
Newton was also a member of the Parliament of England from 1689 to 1690 and in 1701, but according to some accounts his only comments were to complain about a cold draught in the chamber and request that the window be closed.[53]
Newton moved to London to take up the post of warden of the Royal Mint in 1696, a position that he had obtained through the patronage of Charles Montagu, 1st Earl of Halifax, then Chancellor of the Exchequer. He took charge of England's great recoining, somewhat treading on the toes of Lord Lucas, Governor of the Tower (and securing the job of deputy comptroller of the temporary Chester branch for Edmond Halley). Newton became perhaps the best-known Master of the Mint upon the death of Thomas Neale in 1699, a position Newton held for the last 30 years of his life.[54][55] These appointments were intended as sinecures, but Newton took them seriously, retiring from his Cambridge duties in 1701, and exercising his power to reform the currency and punish clippers and counterfeiters. As Master of the Mint in 1717 in the "Law of Queen Anne" Newton moved the Pound Sterling de facto from the silver standard to the gold standard by setting the bimetallic relationship between gold coins and the silver penny in favour of gold. This caused silver sterling coin to be melted and shipped out of Britain. Newton was made President of the Royal Society in 1703 and an associate of the French Académie des Sciences. In his position at the Royal Society, Newton made an enemy of John Flamsteed, the Astronomer Royal, by prematurely publishing Flamsteed's Historia Coelestis Britannica, which Newton had used in his studies.[56]
In April 1705, Queen Anne knighted Newton during a royal visit to Trinity College, Cambridge. The knighthood is likely to have been motivated by political considerations connected with the Parliamentary election in May 1705, rather than any recognition of Newton's scientific work or services as Master of the Mint.[58] Newton was the second scientist to be knighted, after Sir Francis Bacon.
Towards the end of his life, Newton took up residence at Cranbury Park, near Winchester with his niece and her husband, until his death in 1727.[59] His half-niece, Catherine Barton Conduitt,[60] served as his hostess in social affairs at his house on Jermyn Street in London; he was her "very loving Uncle,"[61] according to his letter to her when she was recovering from smallpox.
Newton died in his sleep in London on 31 March 1727 [OS: 20 March 1726],[1] and was buried in Westminster Abbey. Newton, a bachelor, had divested much of his estate to relatives during his last years, and died intestate. After his death, Newton's hair was examined and found to contain mercury, probably resulting from his alchemical pursuits. Mercury poisoning could explain Newton's eccentricity in late life.[62]
After death[link]
Fame[link]
French mathematician Joseph-Louis Lagrange often said that Newton was the greatest genius who ever lived, and once added that Newton was also "the most fortunate, for we cannot find more than once a system of the world to establish."[63] English poet Alexander Pope was moved by Newton's accomplishments to write the famous epitaph:
Nature and nature's laws lay hid in night;
God said "Let Newton be" and all was light.
Newton himself had been rather more modest of his own achievements, famously writing in a letter to Robert Hooke in February 1676:
If I have seen further it is by standing on the shoulders of giants.[64]
Two writers think that the above quote, written at a time when Newton and Hooke were in dispute over optical discoveries, was an oblique attack on Hooke (said to have been short and hunchbacked), rather than – or in addition to – a statement of modesty.[65][66] On the other hand, the widely known proverb about standing on the shoulders of giants published among others by 17th-century poet George Herbert (a former orator of the University of Cambridge and fellow of Trinity College) in his Jacula Prudentum (1651), had as its main point that "a dwarf on a giant's shoulders sees farther of the two", and so its effect as an analogy would place Newton himself rather than Hooke as the 'dwarf'.
In a later memoir, Newton wrote:
I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.[67]
Albert Einstein kept a picture of Newton on his study wall alongside ones of Michael Faraday and James Clerk Maxwell.[68] Newton remains influential to today's scientists, as demonstrated by a 2005 survey of members of Britain's Royal Society (formerly headed by Newton) asking who had the greater effect on the history of science, Newton or Einstein. Royal Society scientists deemed Newton to have made the greater overall contribution.[69] In 1999, an opinion poll of 100 of today's leading physicists voted Einstein the "greatest physicist ever;" with Newton the runner-up, while a parallel survey of rank-and-file physicists by the site PhysicsWeb gave the top spot to Newton.[70]
Commemorations[link]
Newton's monument (1731) can be seen in Westminster Abbey, at the north of the entrance to the choir against the choir screen, near his tomb. It was executed by the sculptor Michael Rysbrack (1694–1770) in white and grey marble with design by the architect William Kent. The monument features a figure of Newton reclining on top of a sarcophagus, his right elbow resting on several of his great books and his left hand pointing to a scroll with a mathematical design. Above him is a pyramid and a celestial globe showing the signs of the Zodiac and the path of the comet of 1680. A relief panel depicts putti using instruments such as a telescope and prism.[71] The Latin inscription on the base translates as:
Here is buried Isaac Newton, Knight, who by a strength of mind almost divine, and mathematical principles peculiarly his own, explored the course and figures of the planets, the paths of comets, the tides of the sea, the dissimilarities in rays of light, and, what no other scholar has previously imagined, the properties of the colours thus produced. Diligent, sagacious and faithful, in his expositions of nature, antiquity and the holy Scriptures, he vindicated by his philosophy the majesty of God mighty and good, and expressed the simplicity of the Gospel in his manners. Mortals rejoice that there has existed such and so great an ornament of the human race! He was born on 25 December 1642, and died on 20 March 1726/7. — Translation from G.L. Smyth, The Monuments and Genii of St. Paul's Cathedral, and of Westminster Abbey (1826), ii, 703–4.[71]
From 1978 until 1988, an image of Newton designed by Harry Ecclestone appeared on Series D £1 banknotes issued by the Bank of England (the last £1 notes to be issued by the Bank of England). Newton was shown on the reverse of the notes holding a book and accompanied by a telescope, a prism and a map of the Solar System.[72]
A statue of Isaac Newton, looking at an apple at his feet, can be seen at the Oxford University Museum of Natural History.
In popular culture[link]
Main article: Isaac Newton in popular culture
Religious views[link]
Main article: Isaac Newton's religious views
According to most scholars, Newton was a monotheist who believed in biblical prophecies but was Antitrinitarian.[6][73] 'In Newton's eyes, worshipping Christ as God was idolatry, to him the fundamental sin'.[74] Historian Stephen D. Snobelen says of Newton, "Isaac Newton was a heretic. But ... he never made a public declaration of his private faith—which the orthodox would have deemed extremely radical. He hid his faith so well that scholars are still unravelling his personal beliefs."[6] Snobelen concludes that Newton was at least a Socinian sympathiser (he owned and had thoroughly read at least eight Socinian books), possibly an Arian and almost certainly an anti-trinitarian.[6] In an age notable for its religious intolerance, there are few public expressions of Newton's radical views, most notably his refusal to receive holy orders and his refusal, on his death bed, to receive the sacrament when it was offered to him.[6]
In a view disputed by Snobelen,[6] T.C. Pfizenmaier argues that Newton held the Arian view of the Trinity rather than the Western one held by Roman Catholics, Anglicans and most Protestants.[75] Although the laws of motion and universal gravitation became Newton's best-known discoveries, he warned against using them to view the Universe as a mere machine, as if akin to a great clock. He said, "Gravity explains the motions of the planets, but it cannot explain who set the planets in motion. God governs all things and knows all that is or can be done."[76]
Along with his scientific fame, Newton's studies of the Bible and of the early Church Fathers were also noteworthy. Newton wrote works on textual criticism, most notably An Historical Account of Two Notable Corruptions of Scripture. He placed the crucifixion of Jesus Christ at 3 April, AD 33, which agrees with one traditionally accepted date.[77] He also tried unsuccessfully to find hidden messages within the Bible.
Newton wrote more on religion than he did on natural science. He believed in a rationally immanent world, but he rejected the hylozoism implicit in Leibniz and Baruch Spinoza. The ordered and dynamically informed Universe could be understood, and must be understood, by an active reason. In his correspondence, Newton claimed that in writing the Principia "I had an eye upon such Principles as might work with considering men for the belief of a Deity".[78] He saw evidence of design in the system of the world: "Such a wonderful uniformity in the planetary system must be allowed the effect of choice". But Newton insisted that divine intervention would eventually be required to reform the system, due to the slow growth of instabilities.[79] For this, Leibniz lampooned him: "God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion."[80] Newton's position was vigorously defended by his follower Samuel Clarke in a famous correspondence. A century later, Pierre-Simon Laplace's work "Celestial Mechanics" had a natural explanation for why the planet orbits don't require periodic divine intervention.[81]
Effect on religious thought[link]
Newton and Robert Boyle's mechanical philosophy was promoted by rationalist pamphleteers as a viable alternative to the pantheists and enthusiasts, and was accepted hesitantly by orthodox preachers as well as dissident preachers like the latitudinarians.[82] The clarity and simplicity of science was seen as a way to combat the emotional and metaphysical superlatives of both superstitious enthusiasm and the threat of atheism,[83] and at the same time, the second wave of English deists used Newton's discoveries to demonstrate the possibility of a "Natural Religion".
The attacks made against pre-Enlightenment "magical thinking", and the mystical elements of Christianity, were given their foundation with Boyle's mechanical conception of the Universe. Newton gave Boyle's ideas their completion through mathematical proofs and, perhaps more importantly, was very successful in popularising them.[84] Newton refashioned the world governed by an interventionist God into a world crafted by a God that designs along rational and universal principles.[85] These principles were available for all people to discover, allowed people to pursue their own aims fruitfully in this life, not the next, and to perfect themselves with their own rational powers.[86]
Newton saw God as the master creator whose existence could not be denied in the face of the grandeur of all creation.[87][88][89] His spokesman, Clarke, rejected Leibniz' theodicy which cleared God from the responsibility for l'origine du mal by making God removed from participation in his creation, since as Clarke pointed out, such a deity would be a king in name only, and but one step away from atheism.[90] But the unforeseen theological consequence of the success of Newton's system over the next century was to reinforce the deist position advocated by Leibniz.[91] The understanding of the world was now brought down to the level of simple human reason, and humans, as Odo Marquard argued, became responsible for the correction and elimination of evil.[92]
End of the world[link]
See also: Isaac Newton's occult studies and eschatology
In a manuscript he wrote in 1704 in which he describes his attempts to extract scientific information from the Bible, he estimated that the world would end no earlier than 2060. In predicting this he said, "This I mention not to assert when the time of the end shall be, but to put a stop to the rash conjectures of fanciful men who are frequently predicting the time of the end, and by doing so bring the sacred prophesies into discredit as often as their predictions fail."[93]
Enlightenment philosophers[link]
Enlightenment philosophers chose a short history of scientific predecessors — Galileo, Boyle, and Newton principally — as the guides and guarantors of their applications of the singular concept of Nature and Natural Law to every physical and social field of the day. In this respect, the lessons of history and the social structures built upon it could be discarded.[94]
It was Newton's conception of the Universe based upon Natural and rationally understandable laws that became one of the seeds for Enlightenment ideology.[95] Locke and Voltaire applied concepts of Natural Law to political systems advocating intrinsic rights; the physiocrats and Adam Smith applied Natural conceptions of psychology and self-interest to economic systems; and sociologists criticised the current social order for trying to fit history into Natural models of progress. Monboddo and Samuel Clarke resisted elements of Newton's work, but eventually rationalised it to conform with their strong religious views of nature.
Counterfeiters[link]
As warden of the Royal Mint, Newton estimated that 20 percent of the coins taken in during The Great Recoinage of 1696 were counterfeit. Counterfeiting was high treason, punishable by the felon's being hanged, drawn and quartered. Despite this, convicting the most flagrant criminals could be extremely difficult. However, Newton proved to be equal to the task.[96] Disguised as a habitué of bars and taverns, he gathered much of that evidence himself.[97] For all the barriers placed to prosecution, and separating the branches of government, English law still had ancient and formidable customs of authority. Newton had himself made a justice of the peace in all the home counties - there is a draft of a letter regarding this matter stuck into Newton's personal first edition of his Philosophiæ Naturalis Principia Mathematica which he must have been amending at the time.[98] Then he conducted more than 100 cross-examinations of witnesses, informers, and suspects between June 1698 and Christmas 1699. Newton successfully prosecuted 28 coiners.[99]
One of Newton's cases as the King's attorney was against William Chaloner.[100] Chaloner's schemes included setting up phony conspiracies of Catholics and then turning in the hapless conspirators whom he had entrapped. Chaloner made himself rich enough to posture as a gentleman. Petitioning Parliament, Chaloner accused the Mint of providing tools to counterfeiters (a charge also made by others). He proposed that he be allowed to inspect the Mint's processes in order to improve them. He petitioned Parliament to adopt his plans for a coinage that could not be counterfeited, while at the same time striking false coins.[101] Newton put Chaloner on trial for counterfeiting and had him sent to Newgate Prison in September 1697. But Chaloner had friends in high places, who helped him secure an acquittal and his release.[100] Newton put him on trial a second time with conclusive evidence. Chaloner was convicted of high treason and hanged, drawn and quartered on 23 March 1699 at Tyburn gallows.[102]
Laws of motion[link]
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Main article: Newton's laws of motion
The famous three laws of motion (stated in modernised form): Newton's First Law (also known as the Law of Inertia) states that an object at rest tends to stay at rest and that an object in uniform motion tends to stay in uniform motion unless acted upon by a net external force. The meaning of this law is the existence of reference frames (called inertial frames) where objects not acted upon by forces move in uniform motion (in particular, they may be at rest).
Newton's Second Law states that an applied force, Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{F} , on an object equals the rate of change of its momentum, Failed to parse (Missing texvc executable; please see math/README to configure.): \vec{p} , with time. Mathematically, this is expressed as
- Failed to parse (Missing texvc executable; please see math/README to configure.): \vec F = \frac{\mathrm{d}\vec p}{\mathrm{\mathrm{d}}t} \, = \, \frac{\mathrm{d}}{\mathrm{d}t} (m \vec v) \, = \, \vec v \, \frac{\mathrm{d}m}{\mathrm{d}t} + m \, \frac{\mathrm{d}\vec v}{\mathrm{d}t} \,.
If applied to an object with constant mass (dm/dt = 0), the first term vanishes, and by substitution using the definition of acceleration, the equation can be written in the iconic form
- Failed to parse (Missing texvc executable; please see math/README to configure.): \vec F = m \, \vec a \ .
The first and second laws represent a break with the physics of Aristotle, in which it was believed that a force was necessary in order to maintain motion. They state that a force is only needed in order to change an object's state of motion. The SI unit of force is the newton, named in Newton's honour.
Newton's Third Law states that for every action there is an equal and opposite reaction. This means that any force exerted onto an object has a counterpart force that is exerted in the opposite direction back onto the first object. A common example is of two ice skaters pushing against each other and sliding apart in opposite directions. Another example is the recoil of a firearm, in which the force propelling the bullet is exerted equally back onto the gun and is felt by the shooter. Since the objects in question do not necessarily have the same mass, the resulting acceleration of the two objects can be different (as in the case of firearm recoil).
Unlike Aristotle's, Newton's physics is meant to be universal. For example, the second law applies both to a planet and to a falling stone.
The vector nature of the second law addresses the geometrical relationship between the direction of the force and the manner in which the object's momentum changes. Before Newton, it had typically been assumed that a planet orbiting the Sun would need a forward force to keep it moving. Newton showed instead that all that was needed was an inward attraction from the Sun. Even many decades after the publication of the Principia, this counterintuitive idea was not universally accepted, and many scientists preferred Descartes' theory of vortices.[103]
Apple incident[link]
Reputed descendants of Newton's apple tree, at the Cambridge University Botanic Garden and the Instituto Balseiro library garden
Newton himself often told the story that he was inspired to formulate his theory of gravitation by watching the fall of an apple from a tree.[104] Although it has been said that the apple story is a myth and that he did not arrive at his theory of gravity in any single moment,[105] acquaintances of Newton (such as William Stukeley, whose manuscript account, published in 1752, has been made available by the Royal Society)[106] do in fact confirm the incident, though not the cartoon version that the apple actually hit Newton's head. Stukeley recorded in his Memoirs of Sir Isaac Newton's Life a conversation with Newton in Kensington on 15 April 1726:[107]
... We went into the garden, & drank tea under the shade of some appletrees, only he, & myself. amidst other discourse, he told me, he was just in the same situation, as when formerly, the notion of gravitation came into his mind. "why should that apple always descend perpendicularly to the ground," thought he to him self: occasion'd by the fall of an apple, as he sat in a comtemplative mood: "why should it not go sideways, or upwards? but constantly to the earths centre? assuredly, the reason is, that the earth draws it. there must be a drawing power in matter. & the sum of the drawing power in the matter of the earth must be in the earths centre, not in any side of the earth. therefore dos this apple fall perpendicularly, or toward the centre. if matter thus draws matter; it must be in proportion of its quantity. therefore the apple draws the earth, as well as the earth draws the apple."
John Conduitt, Newton's assistant at the Royal Mint and husband of Newton's niece, also described the event when he wrote about Newton's life:[108]
In the year 1666 he retired again from Cambridge to his mother in Lincolnshire. Whilst he was pensively meandering in a garden it came into his thought that the power of gravity (which brought an apple from a tree to the ground) was not limited to a certain distance from earth, but that this power must extend much further than was usually thought. Why not as high as the Moon said he to himself & if so, that must influence her motion & perhaps retain her in her orbit, whereupon he fell a calculating what would be the effect of that supposition.
In similar terms, Voltaire wrote in his Essay on Epic Poetry (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree."
It is known from his notebooks that Newton was grappling in the late 1660s with the idea that terrestrial gravity extends, in an inverse-square proportion, to the Moon; however it took him two decades to develop the full-fledged theory.[109] The question was not whether gravity existed, but whether it extended so far from Earth that it could also be the force holding the Moon to its orbit. Newton showed that if the force decreased as the inverse square of the distance, one could indeed calculate the Moon's orbital period, and get good agreement. He guessed the same force was responsible for other orbital motions, and hence named it "universal gravitation".
Various trees are claimed to be "the" apple tree which Newton describes. The King's School, Grantham, claims that the tree was purchased by the school, uprooted and transported to the headmaster's garden some years later. The staff of the [now] National Trust-owned Woolsthorpe Manor dispute this, and claim that a tree present in their gardens is the one described by Newton. A descendant of the original tree [110] can be seen growing outside the main gate of Trinity College, Cambridge, below the room Newton lived in when he studied there. The National Fruit Collection at Brogdale[111] can supply grafts from their tree, which appears identical to Flower of Kent, a coarse-fleshed cooking variety.[112]
Writings[link]
See also: Writing of Principia Mathematica
- Method of Fluxions (1671)
- Of Natures Obvious Laws & Processes in Vegetation (unpublished, c. 1671–75)[113]
- De motu corporum in gyrum (1684)
- Philosophiæ Naturalis Principia Mathematica (1687)
- Opticks (1704)
- Reports as Master of the Mint (1701–25)
- Arithmetica Universalis (1707)
- The System of the World, Optical Lectures, The Chronology of Ancient Kingdoms, (Amended) and De mundi systemate (published posthumously in 1728)
- Observations on Daniel and The Apocalypse of St. John (1733)
- An Historical Account of Two Notable Corruptions of Scripture (1754)
See also[link]
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Book: Isaac Newton |
| Wikipedia books are collections of articles that can be downloaded or ordered in print. | |
Notes[link]
- ^ a b c d e During Newton's lifetime, two calendars were in use in Europe: the Julian or 'Old Style' in Britain and parts of northern Europe (Protestant) and eastern Europe, and the Gregorian or 'New Style', in use in Roman Catholic Europe and elsewhere. At Newton's birth, Gregorian dates were ten days ahead of Julian dates: thus Newton was born on Christmas Day, 25 December 1642 by the Julian calendar, but on 4 January 1643 by the Gregorian. By the time he died, the difference between the calendars had increased to eleven days. Moreover, prior to the adoption of the Gregorian calendar in the UK in 1752, the English new year began (for legal and some other civil purposes) on 25 March ('Lady Day', i.e. the feast of the Annunciation: sometimes called 'Annunciation Style') rather than on 1 January (sometimes called 'Circumcision Style'). Unless otherwise noted, the remainder of the dates in this article follow the Julian Calendar.
- ^ Mordechai Feingold, Barrow, Isaac (1630–1677), Oxford Dictionary of National Biography, Oxford University Press, September 2004; online edn, May 2007; accessed 24 February 2009; explained further in Mordechai Feingold " Newton, Leibniz, and Barrow Too: An Attempt at a Reinterpretation"; Isis, Vol. 84, No. 2 (June, 1993), pp. 310–338
- ^ Dictionary of Scientific Biography, Newton, Isaac, n.4
- ^ Gjersten, Derek (1986). The Newton Handbook. London: Routledge & Kegan Paul.
- ^ a b Westfall, Richard S. (1983) [1980]. Never at Rest: A Biography of Isaac Newton. Cambridge: Cambridge University Press. pp. 530–1. ISBN 978-0-521-27435-7.
- ^ a b c d e f [page needed]Snobelen, Stephen D. (1999). "Isaac Newton, heretic: the strategies of a Nicodemite" (PDF). British Journal for the History of Science 32 (4): 381–419. DOI:10.1017/S0007087499003751. http://www.isaac-newton.org/heretic.pdf.
- ^ Burt, Daniel S. (2001). The biography book: a reader's guide to nonfiction, fictional, and film biographies of more than 500 of the most fascinating individuals of all time. Greenwood Publishing Group. p. 315. ISBN 1-57356-256-4. http://books.google.com/books?id=jpFrgSAaKAUC. , Extract of page 315
- ^ "The Early Period (1608–1672)". James R. Graham's Home Page. http://etoile.berkeley.edu/~jrg/TelescopeHistory/Early_Period.html. Retrieved 3 February 2009.
- ^ Błaszczyk, Piotr; Katz, Mikhail; Sherry, David (2012), "Ten misconceptions from the history of analysis and their debunking", Foundations of Science, arXiv:1202.4153, DOI:10.1007/s10699-012-9285-8
- ^ Christianson, Gale E. (1996). Isaac Newton and the scientific revolution. Oxford University Press. p. 74. ISBN 0-19-509224-4. http://books.google.com/books?id=O61ypNXvNkUC&pg=PA74.
- ^ Cohen, I.B. (1970). Dictionary of Scientific Biography, Vol. 11, p.43. New York: Charles Scribner's Sons
- ^ This claim was made Dr. Stukeley in 1727, in a letter about Newton written to Dr. Richard Mead. Charles Hutton, who in the late 18th century collected oral traditions about earlier scientists, declares that there "do not appear to be any sufficient reason for his never marrying, if he had an inclination so to do. It is much more likely that he had a constitutional indifference to the state, and even to the sex in general." Charles Hutton "A Mathematical and Philosophical Dictionary (1795/6) II p.100.
- ^ Westfall 1994, pp 16–19
- ^ White 1997, p. 22
- ^ James, Ioan (January 2003). "Singular scientists". Journal of the Royal Society of Medicine 96 (1): 36–39. DOI:10.1258/jrsm.96.1.36. PMC 539373. PMID 12519805. //www.pubmedcentral.nih.gov/articlerender.fcgi?tool=pmcentrez&artid=539373.
- ^ Michael White, Isaac Newton (1999) page 46
- ^ ed. Michael Hoskins (1997). Cambridge Illustrated History of Astronomy, p. 159. Cambridge University Press
- ^ Newton, Isaac. "Waste Book". Cambridge University Digital Library. http://cudl.lib.cam.ac.uk/view/MS-ADD-04004/. Retrieved 10 January 2012.
- ^ Venn, J.; Venn, J. A., eds. (1922–1958). "Newton, Isaac". Alumni Cantabrigienses (10 vols) (online ed.). Cambridge University Press.
- ^ W W Rouse Ball (1908), "A short account of the history of mathematics", at page 319.
- ^ D T Whiteside (ed.), The Mathematical Papers of Isaac Newton (Volume 1), (Cambridge University Press, 1967), part 7 "The October 1666 Tract on Fluxions", at page 400, in 2008 reprint.
- ^ D Gjertsen (1986), "The Newton handbook", (London (Routledge & Kegan Paul) 1986), at page 149.
- ^ Newton, 'Principia', 1729 English translation, at page 41.
- ^ Newton, 'Principia', 1729 English translation, at page 54.
- ^ Clifford Truesdell, Essays in the History of Mechanics (Berlin, 1968), at p.99.
- ^ In the preface to the Marquis de L'Hospital's Analyse des Infiniment Petits (Paris, 1696).
- ^ Starting with De motu corporum in gyrum, see also (Latin) Theorem 1.
- ^ D T Whiteside (1970), "The Mathematical principles underlying Newton's Principia Mathematica" in Journal for the History of Astronomy, vol.1, pages 116–138, especially at pages 119–120.
- ^ Stewart 2009, p.107
- ^ Westfall 1980, pp 538–539
- ^ Ball 1908, p. 356ff
- ^ White 1997, p. 151
- ^ King, Henry C (2003). ''The History of the Telescope'' By Henry C. King, Page 74. Google Books. ISBN 978-0-486-43265-6. http://books.google.com/?id=KAWwzHlDVksC&dq=history+of+the+telescope&printsec=frontcover. Retrieved 16 January 2010.
- ^ Newton, Isaac. "Hydrostatics, Optics, Sound and Heat". Cambridge University Digital Library. http://cudl.lib.cam.ac.uk/view/MS-ADD-03970/. Retrieved 10 January 2012.
- ^ Ball 1908, p. 324
- ^ William R. Newman, “Newton’s Early Optical Theory and its Debt to Chymistry,” in Danielle Jacquart and Michel Hochmann, eds., Lumière et vision dans les sciences et dans les arts (Geneva: Droz, 2010), pp. 283-307. A free access online version of this article can be found at the Chymistry of Isaac Newton project
- ^ Ball 1908, p. 325
- ^ a b White 1997, p170
- ^ Hall, Alfred Rupert (1996). '''Isaac Newton: adventurer in thought''', by Alfred Rupert Hall, page 67. Google Books. ISBN 978-0-521-56669-8. http://books.google.com/?id=32IDpTdthm4C&pg=PA67&lpg=PA67&dq=newton+reflecting+telescope++1668+letter+1669&q=newton%20reflecting%20telescope%20%201668%20letter%201669. Retrieved 16 January 2010.
- ^ White 1997, p168
- ^ a b See 'Correspondence of Isaac Newton, vol.2, 1676–1687' ed. H W Turnbull, Cambridge University Press 1960; at page 297, document #235, letter from Hooke to Newton dated 24 November 1679.
- ^ Iliffe, Robert (2007) Newton. A very short introduction, Oxford University Press 2007
- ^ Keynes, John Maynard (1972). "Newton, The Man". The Collected Writings of John Maynard Keynes Volume X. MacMillan St. Martin's Press. pp. 363–4.
- ^ Dobbs, J.T. (December 1982). "Newton's Alchemy and His Theory of Matter". Isis 73 (4): 523. DOI:10.1086/353114. quoting Opticks
- ^ a b Duarte, F. J. (2000). "Newton, prisms, and the 'opticks' of tunable lasers". Optics and Photonics News 11 (5): 24–25. Bibcode 2000OptPN..11...24D. DOI:10.1364/OPN.11.5.000024. http://www.opticsjournal.com/F.J.DuarteOPN%282000%29.pdf.
- ^ R S Westfall, 'Never at Rest', 1980, at pages 391–2.
- ^ D T Whiteside (ed.), 'Mathematical Papers of Isaac Newton', vol.6, 1684–1691, Cambridge University Press 1974, at page 30.
- ^ See Curtis Wilson, "The Newtonian achievement in astronomy", pages 233–274 in R Taton & C Wilson (eds) (1989) The General History of Astronomy, Volume, 2A', at page 233.
- ^ Text quotations are from 1729 translation of Newton's Principia, Book 3 (1729 vol.2) at pages 232–233.
- ^ Edelglass et al., Matter and Mind, ISBN 0-940262-45-2. p. 54
- ^ Westfall 1980. Chapter 11.
- ^ Westfall 1980. pp 493–497 on the friendship with Fatio, pp 531–540 on Newton's breakdown.
- ^ White 1997, p. 232
- ^ "[Newton: Physicist And ... Crime Fighter?]". Science Friday. June 5, 2009. NPR.
- ^ Thomas Levenson (2009). Newton and the counterfeiter : the unknown detective career of the world's greatest scientist. Houghton Mifflin Harcourt. ISBN 978-0-15-101278-7. OCLC 276340857.
- ^ White 1997, p.317
- ^ Gerard Michon. "Coat of arms of Isaac Newton". Numericana.com. http://www.numericana.com/arms/index.htm#newton. Retrieved 16 January 2010.
- ^ "The Queen's 'great Assistance' to Newton's election was his knighting, an honor bestowed not for his contributions to science, nor for his service at the Mint, but for the greater glory of party politics in the election of 1705." Westfall 1994 p.245
- ^ Yonge, Charlotte M. (1898). "Cranbury and Brambridge". John Keble's Parishes – Chapter 6. www.online-literature.com. http://www.online-literature.com/charlotte-yonge/john-keble/6/. Retrieved 23 September 2009.
- ^ Westfall 1980, p. 44.
- ^ Westfall 1980, p. 595
- ^ "Newton, Isaac (1642–1727)". Eric Weisstein's World of Biography. http://scienceworld.wolfram.com/biography/Newton.html. Retrieved 30 August 2006.
- ^ Fred L. Wilson, History of Science: Newton citing: Delambre, M. "Notice sur la vie et les ouvrages de M. le comte J. L. Lagrange," Oeuvres de Lagrange I. Paris, 1867, p. xx.
- ^ Letter from Isaac Newton to Robert Hooke, 5 February 1676, as transcribed in Jean-Pierre Maury (1992) Newton: Understanding the Cosmos, New Horizons
- ^ John Gribbin (2002) Science: A History 1543–2001, p 164.
- ^ White 1997, p187.
- ^ Memoirs of the Life, Writings, and Discoveries of Sir Isaac Newton (1855) by Sir David Brewster (Volume II. Ch. 27)
- ^ "Einstein's Heroes: Imagining the World through the Language of Mathematics", by Robyn Arianrhod UQP, reviewed by Jane Gleeson-White, 10 November 2003, The Sydney Morning Herald
- ^ "Newton beats Einstein in polls of Royal Society scientists and the public". The Royal Society. http://royalsociety.org/News.aspx?id=1324&terms=Newton+beats+Einstein+in+polls+of+scientists+and+the+public.
- ^ "Opinion poll. Einstein voted "greatest physicist ever" by leading physicists; Newton runner-up". BBC News. 1999-11-29. http://news.bbc.co.uk/2/hi/science/nature/541840.stm. Retrieved 2012-01-17.
- ^ a b "Famous People & the Abbey: Sir Isaac Newton". Westminster Abbey. http://www.westminster-abbey.org/our-history/people/sir-isaac-newton. Retrieved 13 November 2009.
- ^ "Withdrawn banknotes reference guide". Bank of England. http://www.bankofengland.co.uk/banknotes/denom_guide/nonflash/1-SeriesD-Revised.htm. Retrieved 27 August 2009.
- ^ Avery Cardinal Dulles. The Deist Minimum. January 2005.
- ^ [page needed]Westfall, Richard S. (1994). The Life of Isaac Newton. Cambridge: Cambridge University Press. ISBN 0-521-47737-9.
- ^ Pfizenmaier, T.C. (1997). "Was Isaac Newton an Arian?". Journal of the History of Ideas 58 (1): 57–80.
- ^ Tiner, J.H. (1975). Isaac Newton: Inventor, Scientist and Teacher. Milford, Michigan, U.S.: Mott Media. ISBN 0-915134-95-0.
- ^ John P. Meier, A Marginal Jew, v. 1, pp. 382–402 after narrowing the years to 30 or 33, provisionally judges 30 most likely.
- ^ Newton to Richard Bentley 10 December 1692, in Turnbull et al. (1959–77), vol 3, p. 233.
- ^ Opticks, 2nd Ed 1706. Query 31.
- ^ H. G. Alexander (ed) The Leibniz-Clarke correspondence, Manchester University Press, 1998, p. 11.
- ^ Neil Degrasse Tyson (November 2005). "The Perimeter of Ignorance". Natural History Magazine. http://www.haydenplanetarium.org/tyson/read/2005/11/01/the-perimeter-of-ignorance.
- ^ Jacob, Margaret C. (1976). The Newtonians and the English Revolution: 1689–1720. Cornell University Press. pp. 37, 44. ISBN 0-85527-066-7.
- ^ Westfall, Richard S. (1958). Science and Religion in Seventeenth-Century England. New Haven: Yale University Press. p. 200. ISBN 0-208-00843-8.
- ^ Haakonssen, Knud. "The Enlightenment, politics and providence: some Scottish and English comparisons". In Martin Fitzpatrick ed.. Enlightenment and Religion: Rational Dissent in eighteenth-century Britain. Cambridge: Cambridge University Press. p. 64. ISBN 0-521-56060-8.
- ^ Frankel, Charles (1948). The Faith of Reason: The Idea of Progress in the French Enlightenment. New York: King's Crown Press. p. 1.
- ^ Germain, Gilbert G.. A Discourse on Disenchantment: Reflections on Politics and Technology. p. 28. ISBN 0-7914-1319-5.
- ^ Principia, Book III; cited in; Newton’s Philosophy of Nature: Selections from his writings, p. 42, ed. H.S. Thayer, Hafner Library of Classics, NY, 1953.
- ^ A Short Scheme of the True Religion, manuscript quoted in Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton by Sir David Brewster, Edinburgh, 1850; cited in; ibid, p. 65.
- ^ Webb, R.K. ed. Knud Haakonssen. “The emergence of Rational Dissent.” Enlightenment and Religion: Rational Dissent in eighteenth-century Britain. Cambridge University Press, Cambridge: 1996. p19.
- ^ H. G. Alexander (ed) The Leibniz-Clarke correspondence, Manchester University Press, 1998, p. 14.
- ^ Westfall, 1958 p201.
- ^ Marquard, Odo. "Burdened and Disemburdened Man and the Flight into Unindictability," in Farewell to Matters of Principle. Robert M. Wallace trans. London: Oxford UP, 1989.
- ^ "Papers Show Isaac Newton's Religious Side, Predict Date of Apocalypse". Associated Press. 19 June 2007. Archived from the original on 13 August 2007. http://web.archive.org/web/20070813033620/http://www.christianpost.com/article/20070619/28049_Papers_Show_Isaac_Newton%27s_Religious_Side,_Predict_Date_of_Apocalypse.htm. Retrieved 1 August 2007.
- ^ Cassels, Alan. Ideology and International Relations in the Modern World. p2.
- ^ "Although it was just one of the many factors in the Enlightment, the success of Newtonian physics in providing a mathematical description of an ordered world clearly played a big part in the flowering of this movement in the eighteenth century" John Gribbin (2002) Science: A History 1543–2001, p 241
- ^ White 1997, p. 259
- ^ White 1997, p. 267
- ^ Newton, Isaac. "Philosophiæ Naturalis Principia Mathematica". Cambridge University Digital Library. pp. 265–266. http://cudl.lib.cam.ac.uk/view/PR-ADV-B-00039-00001/. Retrieved 10 January 2012.
- ^ Westfall 2007, p.73
- ^ a b White 1997, p 269
- ^ Westfall 1994, p 229
- ^ Westfall 1980, pp. 571–5
- ^ Ball 1908, p. 337
- ^ White 1997, p. 86
- ^ Scott Berkun (27 August 2010). The Myths of Innovation. O'Reilly Media, Inc.. p. 4. ISBN 978-1-4493-8962-8. http://books.google.com/books?id=kPCgnc70MSgC&pg=PA4. Retrieved 7 September 2011.
- ^ Newton's apple: The real story. New Scientist. 18 January 2010. http://www.newscientist.com/blogs/culturelab/2010/01/newtons-apple-the-real-story.php. Retrieved 10 May 2010
- ^ Hamblyn, Richard (2011). "Newtonian Apples: William Stukeley". The Art of Science. Pan Macmillan. ISBN 978-1-4472-0415-2.
- ^ Conduitt, John. "Keynes Ms. 130.4:Conduitt's account of Newton's life at Cambridge". Newtonproject. Imperial College London. http://www.newtonproject.sussex.ac.uk/view/texts/normalized/THEM00167. Retrieved 30 August 2006.
- ^ I. Bernard Cohen and George E. Smith, eds. The Cambridge Companion to Newton (2002) p. 6
- ^ Alberto A. Martinez Science Secrets: The Truth about Darwin's Finches, Einstein's Wife, and Other Myths, page 69 (University of Pittsburgh Press, 2011). ISBN 978-0-8229-4407-2
- ^ "Brogdale — Home of the National Fruit Collection". Brogdale.org. http://www.brogdale.org/. Retrieved 20 December 2008.
- ^ "From the National Fruit Collection: Isaac Newton's Tree". http://www.brogdale.org.uk/image1.php?varietyid=1089. Retrieved 10 January 2009.
- ^ Newton's alchemical works transcribed and online at Indiana University. Retrieved 11 January 2007.
References[link]
- Ball, W.W. Rouse (1908). A Short Account of the History of Mathematics. New York: Dover. ISBN 0-486-20630-0.
- Christianson, Gale (1984). In the Presence of the Creator: Isaac Newton & His Times. New York: Free Press. ISBN 0-02-905190-8. This well documented work provides, in particular, valuable information regarding Newton's knowledge of Patristics
- Craig, John (1958). "Isaac Newton – Crime Investigator". Nature 182 (4629): 149–152. Bibcode 1958Natur.182..149C. DOI:10.1038/182149a0.
- Craig, John (1963). "Isaac Newton and the Counterfeiters". Notes and Records of the Royal Society of London 18 (2): 136–145. DOI:10.1098/rsnr.1963.0017.
- Levenson, Thomas (2010). Newton and the Counterfeiter: The Unknown Detective Career of the World's Greatest Scientist. Mariner Books. ISBN 978-0-547-33604-6.
- Stewart, James (2009). Calculus: Concepts and Contexts. Cengage Learning. ISBN 978-0-495-55742-5.
- Westfall, Richard S. (1980, 1998). Never at Rest. Cambridge University Press. ISBN 0-521-27435-4.
- Westfall, Richard S. (2007). Isaac Newton. Cambridge University Press. ISBN 978-0-19-921355-9.
- Westfall, Richard S. (1994). The Life of Isaac Newton. Cambridge University Press. ISBN 0-521-47737-9.
- White, Michael (1997). Isaac Newton: The Last Sorcerer. Fourth Estate Limited. ISBN 1-85702-416-8.
Further reading[link]
- Andrade, E. N. De C. (1950). Isaac Newton. New York: Chanticleer Press. ISBN 0-8414-3014-4.
- Bardi, Jason Socrates. The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time. 2006. 277 pp. excerpt and text search
- Bechler, Zev (1991). Newton's Physics and the Conceptual Structure of the Scientific Revolution. Springer. ISBN 0-7923-1054-3. .
- Berlinski, David. Newton's Gift: How Sir Isaac Newton Unlocked the System of the World. (2000). 256 pp. excerpt and text search ISBN 0-684-84392-7
- Buchwald, Jed Z. and Cohen, I. Bernard, eds. Isaac Newton's Natural Philosophy. MIT Press, 2001. 354 pp. excerpt and text search
- Casini, P. (1988). "Newton's Principia and the Philosophers of the Enlightenment". Notes and Records of the Royal Society of London 42 (1): 35–52. DOI:10.1098/rsnr.1988.0006. ISSN 0035–9149. JSTOR 531368.
- Christianson, Gale E. (1996). Isaac Newton and the Scientific Revolution. Oxford University Press. ISBN 0-19-530070-X. See this site for excerpt and text search.
- Christianson, Gale (1984). In the Presence of the Creator: Isaac Newton & His Times. New York: Free Press. ISBN 0-02-905190-8.
- Cohen, I. Bernard and Smith, George E., ed. The Cambridge Companion to Newton. (2002). 500 pp. focuses on philosophical issues only; excerpt and text search; complete edition online
- Cohen, I. B. (1980). The Newtonian Revolution. Cambridge: Cambridge University Press. ISBN 0-521-22964-2.
- Craig, John (1946). Newton at the Mint. Cambridge, England: Cambridge University Press.
- Dampier, William C.; Dampier, M. (1959). Readings in the Literature of Science. New York: Harper & Row. ISBN 0-486-42805-2.
- de Villamil, Richard (1931). Newton, the Man. London: G.D. Knox. – Preface by Albert Einstein. Reprinted by Johnson Reprint Corporation, New York (1972).
- Dobbs, B. J. T. (1975). The Foundations of Newton's Alchemy or "The Hunting of the Greene Lyon". Cambridge: Cambridge University Press.
- Gjertsen, Derek (1986). The Newton Handbook. London: Routledge & Kegan Paul. ISBN 0-7102-0279-2.
- Gleick, James (2003). Isaac Newton. Alfred A. Knopf. ISBN 0-375-42233-1.
- Halley, E. (1687). "Review of Newton's Principia". Philosophical Transactions 186: 291–297.
- Hawking, Stephen, ed. On the Shoulders of Giants. ISBN 0-7624-1348-4 Places selections from Newton's Principia in the context of selected writings by Copernicus, Kepler, Galileo and Einstein
- Herivel, J. W. (1965). The Background to Newton's Principia. A Study of Newton's Dynamical Researches in the Years 1664–84. Oxford: Clarendon Press.
- Keynes, John Maynard (1963). Essays in Biography. W. W. Norton & Co. ISBN 0-393-00189-X. Keynes took a close interest in Newton and owned many of Newton's private papers.
- Koyré, A. (1965). Newtonian Studies. Chicago: University of Chicago Press.
- Newton, Isaac. Papers and Letters in Natural Philosophy, edited by I. Bernard Cohen. Harvard University Press, 1958,1978. ISBN 0-674-46853-8.
- Newton, Isaac (1642–1727). The Principia: a new Translation, Guide by I. Bernard Cohen ISBN 0-520-08817-4 University of California (1999)
- Pemberton, H. (1728). A View of Sir Isaac Newton's Philosophy. London: S. Palmer.
- Shamos, Morris H. (1959). Great Experiments in Physics. New York: Henry Holt and Company, Inc.. ISBN 0-486-25346-5.
- Shapley, Harlow, S. Rapport, and H. Wright. A Treasury of Science; "Newtonia" pp. 147–9; "Discoveries" pp. 150–4. Harper & Bros., New York, (1946).
- Simmons, J. (1996). The Giant Book of Scientists – The 100 Greatest Minds of all Time. Sydney: The Book Company.
- Stukeley, W. (1936). Memoirs of Sir Isaac Newton's Life. London: Taylor and Francis. (edited by A. H. White; originally published in 1752)
- Westfall, R. S. (1971). Force in Newton's Physics: The Science of Dynamics in the Seventeenth Century. London: Macdonald. ISBN 0-444-19611-0.
Religion[link]
- Dobbs, Betty Jo Tetter. The Janus Faces of Genius: The Role of Alchemy in Newton's Thought. (1991), links the alchemy to Arianism
- Force, James E., and Richard H. Popkin, eds. Newton and Religion: Context, Nature, and Influence. (1999), 342pp . Pp. xvii + 325. 13 papers by scholars using newly opened manuscripts
- Ramati, Ayval. "The Hidden Truth of Creation: Newton's Method of Fluxions" British Journal for the History of Science 34: 417–438. in JSTOR, argues that his calculus had a theological basis
- Snobelen, Stephen "'God of Gods, and Lord of Lords': The Theology of Isaac Newton's General Scholium to the Principia," Osiris, 2nd Series, Vol. 16, (2001), pp. 169–208 in JSTOR
- Snobelen, Stephen D. (1999). "Isaac Newton, Heretic: The Strategies of a Nicodemite". British Journal for the History of Science 32 (4): 381–419. DOI:10.1017/S0007087499003751. JSTOR 4027945.
- Pfizenmaier, Thomas C. (January 1997). "Was Isaac Newton an Arian?". Journal of the History of Ideas 58 (1): 57–80. JSTOR 3653988.
- Wiles, Maurice. Archetypal Heresy. Arianism through the Centuries. (1996) 214pp, with chapter 4 on 18th century England; pp 77–93 on Newton excerpt and text search,
Primary sources[link]
- Newton, Isaac. The Principia: Mathematical Principles of Natural Philosophy. University of California Press, (1999). 974 pp.
- Brackenridge, J. Bruce. The Key to Newton's Dynamics: The Kepler Problem and the Principia: Containing an English Translation of Sections 1, 2, and 3 of Book One from the First (1687) Edition of Newton's Mathematical Principles of Natural Philosophy. University of California Press, 1996. 299 pp.
- Newton, Isaac. The Optical Papers of Isaac Newton. Vol. 1: The Optical Lectures, 1670–1672. Cambridge U. Press, 1984. 627 pp.
- Newton, Isaac. Opticks (4th ed. 1730) online edition
- Newton, I. (1952). Opticks, or A Treatise of the Reflections, Refractions, Inflections & Colours of Light. New York: Dover Publications.
- Newton, I. Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World, tr. A. Motte, rev. Florian Cajori. Berkeley: University of California Press. (1934).
- Whiteside, D. T. (1967–82). The Mathematical Papers of Isaac Newton. Cambridge: Cambridge University Press. ISBN 0-521-07740-0. – 8 volumes
- Newton, Isaac. The correspondence of Isaac Newton, ed. H. W. Turnbull and others, 7 vols. (1959–77)
- Newton's Philosophy of Nature: Selections from His Writings edited by H. S. Thayer, (1953), online edition
- Isaac Newton, Sir; J Edleston; Roger Cotes, Correspondence of Sir Isaac Newton and Professor Cotes, including letters of other eminent men, London, John W. Parker, West Strand; Cambridge, John Deighton, 1850. – Google Books
- Maclaurin, C. (1748). An Account of Sir Isaac Newton's Philosophical Discoveries, in Four Books. London: A. Millar and J. Nourse.
- Newton, I. (1958). Isaac Newton's Papers and Letters on Natural Philosophy and Related Documents, eds. I. B. Cohen and R. E. Schofield. Cambridge: Harvard University Press.
- Newton, I. (1962). The Unpublished Scientific Papers of Isaac Newton: A Selection from the Portsmouth Collection in the University Library, Cambridge, ed. A. R. Hall and M. B. Hall. Cambridge: Cambridge University Press.
- Newton, I. (1975). Isaac Newton's 'Theory of the Moon's Motion' (1702). London: Dawson.
External links[link]
This audio file was created from a revision of the "Isaac Newton" article dated 2008-07-30, and does not reflect subsequent edits to the article. (Audio help)
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- Newton's Scholar Google profile
- ScienceWorld biography by Eric Weisstein
- Dictionary of Scientific Biography
- The Newton Project
- The Newton Project – Canada
- Rebuttal of Newton's astrology (via archive.org)
- Newton's Religious Views Reconsidered
- Newton's Royal Mint Reports
- Newton's Dark Secrets NOVA TV programme
- from The Stanford Encyclopedia of Philosophy:
- Isaac Newton, by George Smith
- Newton's Philosophiae Naturalis Principia Mathematica, by George Smith
- Newton's Philosophy, by Andrew Janiak
- Newton's views on space, time, and motion, by Robert Rynasiewicz
- Newton's Castle Educational material
- The Chymistry of Isaac Newton Research on his Alchemical writings
- FMA Live! Program for teaching Newton's laws to kids
- Newton's religious position
- The "General Scholium" to Newton's Principia
- Kandaswamy, Anand M. The Newton/Leibniz Conflict in Context
- Newton's First ODE – A study by on how Newton approximated the solutions of a first-order ODE using infinite series
- O'Connor, John J.; Robertson, Edmund F., "Isaac Newton", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Newton.html .
- Isaac Newton at the Mathematics Genealogy Project
- The Mind of Isaac Newton Images, audio, animations and interactive segments
- Enlightening Science Videos on Newton's biography, optics, physics, reception, and on his views on science and religion
- Newton biography (University of St Andrews)
Chisholm, Hugh, ed. (1911). "Newton, Sir Isaac". Encyclopædia Britannica (11th ed.). Cambridge University Press. - and see at s:Author:Isaac Newton for the following works about him:
- “Newton, Sir Isaac” in A Short Biographical Dictionary of English Literature by John William Cousin, London: J. M. Dent & Sons, 1910.
- “Newton, Isaac,” in Dictionary of National Biography, London: Smith, Elder, & Co., (1885-1900)
- Memoirs of Sir Isaac Newton's life by William Stukeley, 1752
Writings by him[link]
- Newton's works – full texts, at the Newton Project
- The Newton Manuscripts at the National Library of Israel - the collection of all his religious writings
- Works by Isaac Newton at Project Gutenberg
- Newton's Principia – read and search
- Descartes, Space, and Body and A New Theory of Light and Colour, modernised readable versions by Jonathan Bennett
- Opticks, or a Treatise of the Reflections, Refractions, Inflexions and Colours of Light, full text on archive.org
- Newton Papers, Cambridge Digital Library
- and see at s:Author:Isaac Newton for the following works by him:
- Philosophiae Naturalis Principia Mathematica
- Opticks: or, a Treatise of the Reflections, Refractions, Inflections and Colours of Light
- Observations upon the Prophecies of Daniel and the Apocalypse of St. John
- New Theory About Light and Colour
- An Historical Account of Two Notable Corruptions of Scripture
| Parliament of England | ||
|---|---|---|
| Preceded by Robert Brady |
Member of Parliament for Cambridge University 1689–1690 With: Robert Sawyer |
Succeeded by Edward Finch |
| Preceded by Anthony Hammond |
Member of Parliament for Cambridge University 1701–1702 With: Henry Boyle |
Succeeded by Arthur Annesley |
| Government offices | ||
| Preceded by Thomas Neale |
Master of the Mint 1700–1727 |
Succeeded by John Conduitt |
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| Persondata | |
|---|---|
| Name | Newton, Isaac |
| Alternative names | Newton, Sir Isaac |
| Short description | English mathematician, physicist, and astronomer |
| Date of birth | (1643-01-04)4 January 1643 |
| Place of birth | Woolsthorpe-by-Colsterworth, Lincolnshire, England |
| Date of death | 31 March 1727(1727-03-31) |
| Place of death | Kensington, London, England |
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This page contains text from Wikipedia, the Free Encyclopedia - http://en.wikipedia.org/wiki/Isaac_Newton
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Fernando Fernández-Savater Martín (born 21 June 1947) is one of Spain's most popular living philosophers, as well as an essayist and celebrated author.
Born at San Sebastián, he was an Ethics professor at the University of the Basque Country for over a decade. Presently he is a Philosophy professor at the Complutense University of Madrid. He has won several accolades for his literary work, which covers issues as diverse as contemporary ethics, politics, cinema and literary studies. In 1990, Savater and columnist and publisher, Javier Pradera, founded the magazine, Claves de Razón Práctica.[1]
He has taken an active part in several organizations engaged with peace in the Basque Country and against terrorism and Basque nationalism, such as Movimiento por la Paz y la No Violencia, Gesto por la Paz, Foro Ermua, and currently ¡Basta Ya!.
He defines himself as an agnostic, an anglophile and a defender of the Enlightenment in the Voltaire tradition.
Bibliography[link]
- Ensayo sobre Cioran (Essay on Cioran) (1974)
- Panfleto contra el Todo (A Proclamation against Everything) (1978)
- Caronte aguarda (Charon Awaits) (1981)
- La tarea del héroe (The Task of the Hero) (1981)
- Invitación a la ética (An Invitation to Ethics) (1982)
- La infancia recuperada (Childhood Recovered) (1983)
- Sobre vivir (On Living -and Surviving) (1983)
- Las razones del antimilitarismo y otras razones (The Reasons for Antimilitarism and Other Reasons) (1984)
- El contenido de la felicidad (The Contents of Happiness) (1986)
- Ética como amor propio (Ethics as Self-Esteem) (1988)
- Ética para Amador (Ethics for Amador) (1991)
- Política para Amador (Politics for Amador) (1992)
- Sin contemplaciones (Straight Talk) (1993)
- Despierta y lee (Wake Up and Read) (1998)
- Las preguntas de la vida (The Questions of Life) (1999)
- Perdonen las molestias (Sorry for Disturbing) (2001)
- El Gran Laberinto (The Great Labyrinth) (2005)
He recently founded a new political party called Unión, progreso y democracia (Union, Progress and Democracy) with former socialist MP Rosa Díez in order to oppose different nationalist movements in Spanish mainstream politics. Critics have pointed out that their political outlook seems to be dominated by a strong Spanish nationalist ideology itself.
References[link]
- ^ Rojo, Jose Andres (2011-11-21). "The watchman of Spain's transition signs off". El País. http://www.elpais.com/articulo/english/The/watchman/of/Spain/s/transition/signs/off/elpepueng/20111121elpeng_6/Ten. Retrieved 2011-11-23.
External links[link]
- Web in honor to Fernando Savater.
- Movimiento por la Paz y la No Violencia.
- Foro Ermua.
- Union, Progress and Democracy Party.
| Persondata | |
|---|---|
| Name | Savater, Fernando |
| Alternative names | |
| Short description | Philosopher, author |
| Date of birth | 1947-06-21 |
| Place of birth | San Sebastián, Spain |
| Date of death | |
| Place of death | |
http://wn.com/Fernando_Savater
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This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
