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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).
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 ...
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
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.
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]
Putnam cites examples from the animal kingdom as evidence for the multiple realizability of mental states. [7] Evolutionary biology — including evolutionary neuroscience — and comparative neuroanatomy and neurophysiology have demonstrated that mammals, reptiles, birds, amphibians, and mollusks have different brain structures.
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