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William Lowell Putnam Mathematical Competition results; William Lowell Putnam Competition problems, solutions, and results archive; Archive of Problems 1938–2003; Searchable data base for information about careers of Putnam Fellows; A comprehensive history of the Putnam competition An electronic update of Gallian's 2004 paper (PDF)
The Twin Earth thought experiment was one of three examples that Putnam offered in support of semantic externalism, the other two being what he called the Aluminum-Molybdenum case and the Beech-Elm case. Since the publication of these cases, numerous variations on the thought experiment have been proposed by philosophers.
Algorithm DP SAT solver Input: A set of clauses Φ. Output: A Truth Value: true if Φ can be satisfied, false otherwise. function DP-SAT(Φ) repeat // unit propagation: while Φ contains a unit clause {l} do for every clause c in Φ that contains l do Φ ← remove-from-formula(c, Φ); for every clause c in Φ that contains ¬l do Φ ← remove-from-formula(c, Φ); Φ ← add-to-formula(c ...
For example, if s=2, then 𝜁(s) is the well-known series 1 + 1/4 + 1/9 + 1/16 + …, which strangely adds up to exactly 𝜋²/6. When s is a complex number—one that looks like a+b𝑖, using ...
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.
Championnat International de Jeux Mathématiques et Logiques — for all ages, mainly for French-speaking countries, but participation is not limited by language.; China Girls Mathematical Olympiad (CGMO) — held annually for teams of girls representing different regions within China and a few other countries.
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A potential loophole in Putnam's reference theory is that a brain on Earth that is "kidnapped", placed into a vat, and subjected to a simulation could still refer to brains and vats which are real in the sense of Putnam, and thus correctly say it is a brain in a vat according to Putnamian reference theory. [18]