contrapositive


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Related to contrapositive: Proof by contradiction, Proof by contrapositive

con·tra·pos·i·tive

(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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

contrapositive

(ˌkɒntrəˈpɒzɪtɪv)
adj
(Logic) placed opposite or against
n
(Logic) logic
a. a conditional statement derived from another by negating and interchanging antecedent and consequent
b. 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 and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

con•tra•pos•i•tive

(ˌkɒn trəˈpɒz ɪ tɪv)
Logic. adj.
1. of or pertaining to contraposition.
n.
2. a contrapositive statement.
[1855–60]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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contrapositive

noun
Logic. That which is diametrically opposed to another:
The American Heritage® Roget's Thesaurus. Copyright © 2013, 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
References in periodicals archive ?
Hughes theorizes that the modon's speed and directional movement are attributable to their balance--in each modon, one eddy has a whirlpool-like hole in the center, and the other has a nodule or bump of water that spins contrapositive to the first eddy.
FIRST OBSERVATIONS MADE OF OCEAN "SMOKE RINGS"
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Theorem 9.4 can be stated in its contrapositive form and in terms of the complement G(z) of S(z) in Y.
ON VARIOUS MULTIMAP CLASSES IN THE KKM THEORY AND THEIR APPLICATIONS
The contrapositive is that many of the subtle eccentricities in American copyright law are reflections of the comparative American legal obsession with procedure.
The rite of copyright: The comparative procedural emphasis of American copyright law
charged a grossly variable fee." (28) The contrapositive is that an
A legal challenge of the Prescription Drug User Fee Act
Proof by contraposition rests on the fact that an implication p [right arrow] q and its contrapositive [logical not]p [right arrow] [logical not]q (not q implies not p) are two logically equivalent statements.
On the analysis of indirect proofs: contradiction and contraposition
Cloth, 69ドル.95--This book gets its name as a contrapositive to the political liberalism of John Rawls and his followers.
Simpson, Peter L. P.: Political Illiberalism: A Defense of Freedom
b) Neutrosophic modus tollens (neutrosophic law of contrapositive):
Neutrosophic axiomatic system

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