Language of mathematics

The language of mathematics is the system used by mathematicians to communicate mathematical ideas among themselves. This language consists of a substrate of some natural language (for example English) using technical terms and grammatical conventions that are peculiar to mathematical discourse (see Mathematical jargon), supplemented by a highly specialized symbolic notation for mathematical formulas.

Like natural languages in general, discourse using the language of mathematics can employ a scala of registers. Research articles in academic journals use a more formal tone than oral exchanges over a scribbled-upon napkin in the university cafeteria.

What is a language?

Here are some definitions of language:

The Language (song)

"The Language" is a song by Canadian rapper Drake from his third studio album Nothing Was the Same (2013). "The Language" was produced by frequent collaborator Boi-1da, along with additional production by Allen Ritter and Vinylz. It also features an outro from Cash Money Records founder Birdman. The song was serviced to mainstream urban radio on October 29, 2013 as the fourth single from the album in the US and has peaked at number 51 on the Billboard Hot 100 chart.

Background

In the early months of 2013, there were rumors of a disconnection between Drake and Cash Money Records, which only caught more fire due to him not appearing on the compilation album Rich Gang. On "The Language" Drake addresses these rumors saying, "Cash Money Records forever, I'm always Big-Tyming, bitch/ I came up right under Stunna." In August 2013, Big Sean released "Control" featuring Kendrick Lamar, where Lamar called out a group of rappers he has collaborated with including Drake, also saying he would "murder" them lyrically on a track. That same month, Drake spoke to Billboard, where he responded saying, "It just sounded like an ambitious thought to me. That's all it was. I know good and well that Kendrick's not murdering me, at all, in any platform." In a following interview he acted passively, putting down Lamar's verse as having no lasting significance.

Mathematics

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers),structure,space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.

Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.

Language

Language is the ability to acquire and use complex systems of communication, particularly the human ability to do so, and a language is any specific example of such a system. The scientific study of language is called linguistics.

Questions concerning the philosophy of language, such as whether words can represent experience, have been debated since Gorgias and Plato in Ancient Greece. Thinkers such as Rousseau have argued that language originated from emotions while others like Kant have held that it originated from rational and logical thought. 20th-century philosophers such as Wittgenstein argued that philosophy is really the study of language. Major figures in linguistics include Ferdinand de Saussure, Noam Chomsky and William C. Stokoe.

Estimates of the number of languages in the world vary between 5,000 and 7,000. However, any precise estimate depends on a partly arbitrary distinction between languages and dialects. Natural languages are spoken or signed, but any language can be encoded into secondary media using auditory, visual, or tactile stimuli – for example, in graphic writing, braille, or whistling. This is because human language is modality-independent. Depending on philosophical perspectives regarding the definition of language and meaning, when used as a general concept, "language" may refer to the cognitive ability to learn and use systems of complex communication, or to describe the set of rules that makes up these systems, or the set of utterances that can be produced from those rules. All languages rely on the process of semiosis to relate signs to particular meanings. Oral and sign languages contain a phonological system that governs how symbols are used to form sequences known as words or morphemes, and a syntactic system that governs how words and morphemes are combined to form phrases and utterances.

Real Life

Real Life may refer to:

Entertainment

Music

Albums

Songs

See also