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contrapositive

[kon-truh-poz-i-tiv] /ˌkɒn trəˈpɒz ɪ tɪv/
adjective
1.
of or pertaining to contraposition.
noun
2.
a contrapositive statement of a proposition.
Origin
1855-1860
1855-60; contraposit(ion) + -ive
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Examples from the web for contrapositive
  • Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences.
  • Identify the new statement as the converse, inverse, or contrapositive of the original statement.
  • Indeed, elementary logic teaches that the contrapositive of a hypothesis is not necessarily true.
British Dictionary definitions for contrapositive

contrapositive

/ˌkɒntrəˈpɒzɪtɪv/
adjective
1.
placed opposite or against
noun
2.
(logic)
  1. a conditional statement derived from another by negating and interchanging antecedent and consequent
  2. 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 particular
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for contrapositive
adj.

1858 (implied in contrapositively), from Latin contraposit-, past participle stem of contraponere (see contraposition) + -ive.

Online Etymology Dictionary, © 2010 Douglas Harper
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