contraposition

contraposition
The statement of the form "if not Q then not P", given the statement "if P then Q".

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  • contraposition — ● contraposition nom féminin Loi logique selon laquelle il est équivalent de dire que A implique B et que non B implique non A. contraposition [kɔ̃tʀapozisjɔ̃] n. f. ÉTYM. 1900, Larousse; de contra , et position. ❖ ♦ Didact. (log.). Déd …   Encyclopédie Universelle

  • Contraposition — Con tra*po*si tion, n. [Pref. contra + position: cf. f. conterposition.] 1. A placing over against; opposite position. [Obs.] F. Potter. [1913 Webster] 2. (Logic) A so called immediate inference which consists in denying the original subject of… …   The Collaborative International Dictionary of English

  • Contraposition — (v. lat.), 1) Gegenstellung; 2) (Log.), wenn man aus einem Urtheile, ohne demselben eine andere Materie zu geben, ein neues bildet u. die Begriffe dabei so versetzt, daß die sogenannte Qualität verändert wird, also daß aus einem verneinenden… …   Pierer's Universal-Lexikon

  • contraposition — I noun antagonism, antithesis, confrontation, confrontment, contradiction, contradistinction, contrariety, contrast, converse, counterpart, disagreement, disparity, dissimilarity, incompatibility, obverse, odds, opposite, opposite side,… …   Law dictionary

  • contraposition — 1550s, from L.L. contrapositionem (nom. contrapositio), noun of action from contraposit , pp. stem of contraponere, from contra against (see CONTRA (Cf. contra)) + ponere to put, place (see POSITION (Cf. position)) …   Etymology dictionary

  • contraposition — [kän΄trə pə zish′ən] n. a placing opposite or over against; antithesis; contrast …   English World dictionary

  • 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

  • Contraposition — Proposition contraposée La contraposition (ou modus tollens) est un type de raisonnement logique consistant à affirmer une implication (« si A alors B ») et à poser ensuite la négation du conséquent (« or, non B ») pour en… …   Wikipédia en Français

  • Contraposition — (Roget s Thesaurus) < N PARAG:Contraposition >N GRP: N 1 Sgm: N 1 contraposition contraposition opposition Sgm: N 1 polarity polarity Sgm: N 1 inversion inversion &c. 218 Sgm: N 1 opposite side opposite side Sgm: N 1 reverse …   English dictionary for students

  • contraposition — noun Etymology: Late Latin contraposition , contrapositio, from Latin contraponere to place opposite, from contra + ponere to place more at position Date: 1551 the relationship between two propositions when the subject and predicate of one are… …   New Collegiate Dictionary

  • contraposition — /kon treuh peuh zish euhn/, n. 1. placement opposite or against. 2. opposition, contrast, or antithesis. 3. Logic. the inference drawn from a proposition by negating its terms and changing their order, as by inferring Not B implies not A from A… …   Universalium

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