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The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities). It awards a scholarship and cash prizes ranging from $250 to ...
According to Putnam, Quine's version of the argument was an argument for the existence of abstract mathematical objects, while Putnam's own argument was simply for a realist interpretation of mathematics, which he believed could be provided by a "mathematics as modal logic" interpretation that need not imply the existence of abstract objects.
Putnam has argued that any theory of mathematical realism would include quasi-empirical methods. He proposed that an alien species doing mathematics might well rely on quasi-empirical methods primarily, being willing often to forgo rigorous and axiomatic proofs, and still be doing mathematics—at perhaps a somewhat greater risk of failure of ...
Kahn grew up in New York City and attended Hunter College High School. He was a child prodigy who mastered quadratic equations at the age of 7, at the age of 8 designed an equation identical to the one Carl Gauss designed at the age of 9, and proved the Pythagorean Theorem at the age of 10. [1] Kahn was part of the Johns Hopkins University ...
At age 16, Kedlaya won a gold medal at the International Mathematics Olympiad, and would later win a silver and another gold medal. While an undergraduate student at Harvard, he was a three-time Putnam Fellow in 1993, 1994, and 1995. A 1996 article by The Harvard Crimson described him as "the best college-age student in math in the United States".
The Quine–Putnam indispensability argument [a] is an argument in the philosophy of mathematics for the existence of abstract mathematical objects such as numbers and sets, a position known as mathematical platonism. It was named after the philosophers Willard Quine and Hilary Putnam, and is one of the most important arguments in the ...
Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures (1978) Doctoral advisor. Alexander S. Kechris. Arthur Leonard Rubin (born 1956) [1] is an American mathematician and aerospace engineer. He was named a Putnam Fellow on four consecutive occasions from 1970 to 1973.
Elizabeth Lowell Putnam. Elizabeth Lowell Putnam, reading with Amy. Elizabeth Lowell Putnam (2 February 1862–1935) was an American philanthropist and an activist for prenatal care. She was born (as Bessie Lowell) in Boston, Massachusetts, the daughter of Augustus Lowell and Katherine Bigelow Lowell.
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