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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 ...
[non-primary source needed] Since there is no limit to the number of such expressions to be considered, Putnam embraced a form of semantic holism. Despite the many changes in his other positions, Putnam consistently adhered to semantic holism. Michael Dummett, Jerry Fodor, Ernest Lepore, and others have identified problems with this position ...
Putnam strongly rejected the term "Platonist" as implying an over-specific ontology that was not necessary to mathematical practice in any real sense. He advocated a form of "pure realism" that rejected mystical notions of truth and accepted much quasi-empiricism in mathematics.
The result. Theorem (Fuglede) Let T and N be bounded operators on a complex Hilbert space with N being normal. If TN = NT, then TN* = N*T, where N* denotes the adjoint of N . Normality of N is necessary, as is seen by taking T = N. When T is self-adjoint, the claim is trivial regardless of whether N is normal: Tentative Proof: If the underlying ...
Lewis Putnam Turco (born May 2, 1934) is an American poet, teacher, and writer of fiction and non-fiction. Turco is an advocate for Formalist poetry (or New Formalism ) in the United States . Life and work [ edit ]
O ( n ) {\displaystyle O (n)} (basic algorithm) In logic and computer science, the Davis–Putnam–Logemann–Loveland ( DPLL) algorithm is a complete, backtracking -based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.
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 ...
Putnam Investments is an investment management firm founded in 1937 by George Putnam, who established one of the first balanced mutual funds, The George Putnam Fund of Boston. Headquartered in Boston, Massachusetts , it has offices in London , Tokyo , Frankfurt , Sydney , and Singapore . [2]