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proof symbols

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  • Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… …   Wikipedia

  • Proof of impossibility — A proof of impossibility, sometimes called a negative proof or negative result , is a proof demonstrating that a particular problem cannot be solved, or cannot be solved in general. Often proofs of impossibility have put to rest decades or… …   Wikipedia

  • Turing's proof — First published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem , Turing s proof was the second proof of the assertion (Alonzo Church proof was first) that some questions are undecidable :… …   Wikipedia

  • Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… …   Wikipedia

  • Formal proof — See also: mathematical proof, proof theory, and axiomatic system A formal proof or derivation is a finite sequence of sentences (called well formed formulas in the case of a formal language) each of which is an axiom or follows from the… …   Wikipedia

  • Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

  • Christoffel symbols/Proofs — This article contains proof of formulas in Riemannian geometry which involve the Christoffel symbols. Proof 1 Start with the Bianchi identity: R {abmn;l} + R {ablm;n} + R {abnl;m} = 0,!. Contract both sides of the above equation with a pair of… …   Wikipedia

  • Double counting (proof technique) — In combinatorics, double counting, also called counting in two ways, is a combinatorial proof technique for showing that two expressions are equal by demonstrating that they are two ways of counting the size of one set. In this technique, which… …   Wikipedia

  • Trade Symbols — in the United StatesThere are four type of trade symbols# Trade mark Unique Symbol, word, picture, name or combination of these, e.g. Apple Symbol of Apple Computer. # Service mark Which identifies one service from another, e.g. Golden Arches of… …   Wikipedia

  • Logical symbols — Reading logical symbolism frightens many people more than it should. The very term symbolic logic sounds terrifying, and the presence of even a small amount of symbolism may deter many readers from otherwise perfectly intelligible texts. The… …   Philosophy dictionary

  • First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

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