- The contrapositive of a conditional ‘if p then q ’ is the conditional ‘if not-q then not-p ’. The two forms are equivalent. The contrapositive of a generalization ‘all As are B’ is the equivalent ‘all non-Bs are non-A’. This equivalence is exploited in Hempel's paradox.
Philosophy dictionary. Academic. 2011.
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contrapositive — [kän′trəpäz′ə tiv΄] n. Logic a proposition obtained by negating and transposing the terms of a given proposition [the contrapositive of “All A is B” is “All not B is not A”] … English World dictionary
contrapositive — index adverse (opposite), antipathetic (oppositional), contradictory, contrary Burton s Legal Thesaurus. William C. Burton … Law dictionary
contrapositive — 1858 (implied in contrapositively), from L. contraposit , pp. stem of contraponere (see CONTRAPOSITION (Cf. contraposition)) + IVE (Cf. ive) … Etymology dictionary
contrapositive — noun Date: 1870 a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them < “if not B then not A ” is the contrapositive of “if A … New Collegiate Dictionary
contrapositive — /kon treuh poz i tiv/, Logic. adj. 1. of or pertaining to contraposition. n. 2. a contrapositive statement of a proposition. [1855 60; CONTRAPOSIT(ION) + IVE] * * * … Universalium
contrapositive — con•tra•pos•i•tive [[t]ˌkɒn trəˈpɒz ɪ tɪv[/t]] logic 1) of or pertaining to contraposition 2) a contrapositive statement • Etymology: 1855–60 … From formal English to slang
contrapositive — noun the inverse of the converse of a given proposition … Wiktionary
contrapositive — (Roget s Thesaurus II) noun Logic. That which is diametrically opposed to another: antipode, antipodes, antithesis, antonym, contrary, converse2, counter, opposite, reverse. Logic: contradictory. See SUPPORT … English dictionary for students
contrapositive — con·tra·pos·i·tive … English syllables
contrapositive — I. |kän.trə|päzəd.iv adjective Etymology: contraposition + ive : of, relating to, or characterized by contraposition II. noun logic : a proposition resulting from the operation of contraposition … Useful english dictionary