Difference between revisions of "Contraposition, law of"
From Encyclopedia of Mathematics
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The logical principle according to which if one statement implies another, then the negation of the latter implies the negation of the former: | The logical principle according to which if one statement implies another, then the negation of the latter implies the negation of the former: | ||
| − | $$(A\ | + | $$(A\supset B)\supset(\neg B\supset\neg A).$$ |
The law of contraposition is used both in classical and constructive logic. | The law of contraposition is used both in classical and constructive logic. | ||
Latest revision as of 13:49, 29 April 2014
The logical principle according to which if one statement implies another, then the negation of the latter implies the negation of the former:
$$(A\supset B)\supset(\neg B\supset\neg A).$$
The law of contraposition is used both in classical and constructive logic.
How to Cite This Entry:
Contraposition, law of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contraposition,_law_of&oldid=31976
Contraposition, law of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contraposition,_law_of&oldid=31976
This article was adapted from an original article by S.K. Sobolev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article