- published: 18 Apr 2016
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In predicate logic, an existential quantification is the predication of a property or relation to at least one member of the domain. It is denoted by the logical operator symbol ∃ (pronounced "there exists" or "for some"), which is called the existential quantifier. Existential quantification is distinct from universal quantification ("for all"), which asserts that the property or relation holds for any members of the domain.
Symbols are encoded U+2203 ∃ there exists (HTML: ∃
∃
as a mathematical symbol) and U+2204 ∄ there does not exist (HTML: ∄
).
Consider a formula that states that some natural number multiplied by itself is 25.
0·0 = 25, or 1·1 = 25, or 2·2 = 25, or 3·3 = 25, and so on.
This would seem to be a logical disjunction because of the repeated use of "or". However, the "and so on" makes this impossible to integrate and to interpret as a disjunction in formal logic. Instead, the statement could be rephrased more formally as
For some natural number n, n·n = 25.
This is a single statement using existential quantification.
The 100: A Ranking of the Most Influential Persons in History is a 1978 book by Michael H. Hart, reprinted in 1992 with revisions. It is a ranking of the 100 people who, according to Hart, most influenced human history.
The first person on Hart's list is the Prophet of Islam Muhammad. Hart asserted that Muhammad was "supremely successful" in both the religious and secular realms. He also believed that Muhammad's role in the development of Islam was far more influential than Jesus' collaboration in the development of Christianity. He attributes the development of Christianity to St. Paul, who played a pivotal role in its dissemination."
The 1992 revisions included the demotion of figures associated with Communism, such as Vladimir Lenin and Mao Zedong, and the introduction of Mikhail Gorbachev. Hart took sides in the Shakespearean authorship issue and substituted Edward de Vere, 17th Earl of Oxford for William Shakespeare. Hart also substituted Niels Bohr and Henri Becquerel with Ernest Rutherford, thus correcting an error in the first edition. Henry Ford was also promoted from the "Honorary Mentions" list, replacing Pablo Picasso. Finally, some of the rankings were re-ordered, although no one listed in the top ten changed position.
Vanessa Anne Hudgens (born December 14, 1988) is an American actress and singer.
Hudgens rose to prominence playing Gabriella Montez in the High School Musical series. Hudgens also has appeared in several television programs including Quintuplets, Still Standing, The Brothers García, Drake & Josh, and The Suite Life of Zack & Cody. In 2009, she earned critical acclaim for her role in the film Bandslam.
In addition to acting, Hudgens released her debut album V on September 26, 2006 which entered the Billboard 200 at number twenty four, and was later certified Gold. Her second album, Identified, was released on July 1, 2008 in the United States.
Hudgens was born in Salinas, California, and has lived with her parents throughout the West Coast from Oregon to Southern California. Her mother, Gina (née Guangco), held a succession of office jobs, and her father, Gregory Hudgens, was a firefighter. She has a younger sister, Stella Hudgens, who is also an actress. She was raised as a Roman Catholic. Hudgens is of mixed ethnic background, as her father is of Irish and Native American descent, and her mother, a native of Manila, Philippines, is of Chinese-Filipino-Spanish descent. All of her grandparents were musicians.