- proof by negation
- method of proving a claim as true by proving all other claims as false
English contemporary dictionary. 2014.
proof by negation
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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
Negation — For other uses, see Negation (disambiguation). In logic and mathematics, negation, also called logical complement, is an operation on propositions, truth values, or semantic values more generally. Intuitively, the negation of a proposition is… … Wikipedia
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Proof of Bertrand's postulate — In mathematics, Bertrand s postulate (actually a theorem) states that for each n ≥ 2 there is a prime p such that n < p < 2 n . It was first proven by Pafnuty Chebyshev, and a short but advanced proof was given by Srinivasa Ramanujan. The gist of … Wikipedia
proof by contradiction — noun Proof of a statement adduced by deriving a contradiction from the statements negation. Syn: reductio ad absurdum … Wiktionary
Gödel's ontological proof — is a formalization of Saint Anselm s ontological argument for God s existence by the mathematician Kurt Gödel.St. Anselm s ontological argument, in its most succinct form, is as follows: God, by definition, is that than which a greater cannot be… … 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
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
indirect proof — an argument for a proposition that shows its negation to be incompatible with a previously accepted or established premise. * * * … Universalium
indirect proof — noun see indirect reduction 2 * * * an argument for a proposition that shows its negation to be incompatible with a previously accepted or established premise … Useful english dictionary
