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contrapositive
con·tra·pos·i·tive C0607400 (kŏn′trə-pŏz′ĭ-tĭv)n. Logic A proposition derived by negating and permuting the terms of another, equivalent proposition; for example, All not-Y is not-X is the contrapositive of All X is Y.contrapositive (ˌkɒntrəˈpɒzɪtɪv) adj (Logic) placed opposite or againstn (Logic) logic a. a conditional statement derived from another by negating and interchanging antecedent and consequentb. a categorial proposition obtained from another, esp validly, by any of a number of operations including negation, transferring the terms, changing their quality, and also possibly weakening from universal to particularcon•tra•pos•i•tive (ˌkɒn trəˈpɒz ɪ tɪv)
Logic. adj. 1. of or pertaining to contraposition. n. 2. a contrapositive statement. [1855–60] ThesauruscontrapositivenounLogic. That which is diametrically opposed to another:antipode, antipodes, antithesis, antonym, contrary, converse, counter, opposite, reverse.Logic: contradictory.contrapositive
contrapositive[¦kän·trə′päz·əd·iv] (mathematics) The contrapositive of the statement “if p, then q ” is the equivalent statement “if not q, then not p.” contrapositive
Related to contrapositive: Proof by contradiction, Proof by contrapositiveSynonyms for contrapositivenoun that which is diametrically opposed to anotherSynonyms- antipode
- antipodes
- antithesis
- antonym
- contrary
- converse
- counter
- opposite
- reverse
- contradictory
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