contrapositive proof

contrapositive proof
доказательство путем противопоставления

Англо-русский словарь по исследованиям и ноу-хау. . 2015.

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  • 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

  • Direct proof — In mathematics and logic, a direct proof is a way of showing the truth or falsehood of a given statement by a straightforward combination of established facts, usually existing lemmas and theorems, without making any further assumptions. In order …   Wikipedia

  • Contraposition — For contraposition in the field of traditional logic, see Contraposition (traditional logic). For contraposition in the field of symbolic logic, see Transposition (logic). Contraposition is a logical relationship between two propositions, or… …   Wikipedia

  • Raven paradox — The Raven paradox, also known as Hempel s paradox or Hempel s ravens is a paradox proposed by the German logician Carl Gustav Hempel in the 1940s to illustrate a problem where inductive logic violates intuition. It reveals the problem of… …   Wikipedia

  • Deduction theorem — In mathematical logic, the deduction theorem is a metatheorem of first order logic.[1] It is a formalization of the common proof technique in which an implication A → B is proved by assuming A and then proving B from this assumption.… …   Wikipedia

  • logic — logicless, adj. /loj ik/, n. 1. the science that investigates the principles governing correct or reliable inference. 2. a particular method of reasoning or argumentation: We were unable to follow his logic. 3. the system or principles of… …   Universalium

  • König's lemma — or König s infinity lemma is a theorem in graph theory due to Dénes Kőnig (1936). It gives a sufficient condition for an infinite graph to have an infinitely long path. The computability aspects of this theorem have been thoroughly investigated… …   Wikipedia

  • Gauss's lemma (polynomial) — This article is about Gauss s lemma for polynomials. See also Gauss s lemma. In algebra, in the theory of polynomials, Gauss s lemma, named after Carl Friedrich Gauss, is either of two related statements about polynomials with integral… …   Wikipedia

  • Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …   Wikipedia

  • Outline of discrete mathematics — The following outline is presented as an overview of and topical guide to discrete mathematics: Discrete mathematics – study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have… …   Wikipedia

  • Steiner-Lehmus theorem — |AE|=|BD|,,alpha=eta,,gamma=delta Rightarrow riangle ABC ext{ is isosceles}The Steiner Lehmus theorem, a theorem in elementary geometry, was formulated by C. L. Lehmus and subsequently proved by Jakob Steiner.: Any triangle with two angle… …   Wikipedia


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