# Contradiction (inconsistency)

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A formula $\phi$ of the language of pure (or narrow) predicate calculus that is false in all models of this language. A formula $\phi$ is a contradiction if and only if $\neg\phi$ is derivable in pure predicate calculus.

How to Cite This Entry:
Contradiction (inconsistency). Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Contradiction_(inconsistency)&oldid=31391
This article was adapted from an original article by V.N. Grishin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article