law of excluded middle

law of excluded middle
An axiom of classical logic which states that, given a proposition P, either P is true or P is false, i.e. in symbols: . This law is rejected by intuitionistic logic.

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  • Law of excluded middle — This article uses forms of logical notation. For a concise description of the symbols used in this notation, see Table of logic symbols. In logic, the law of the excluded middle states that the propositional calculus formula P ∨ ¬ P ( P or not P… …   Wikipedia

  • law of excluded middle — Logic. the principle that any proposition must be either true or false. * * * …   Universalium

  • law of excluded middle — a principle in logic: if one of two contradictory statements is denied the other must be affirmed * * * Logic. the principle that any proposition must be either true or false …   Useful english dictionary

  • principle of excluded middle — law of excluded middle …   Useful english dictionary

  • law (or principle) of the excluded middle Logic — the principle that one (and one only) of two contradictory propositions must be true. → exclude …   English new terms dictionary

  • law of the excluded middle — law (or principle) of the excluded middle Logic the principle that one (and one only) of two contradictory propositions must be true …   Useful english dictionary

  • law of the excluded middle — Contradiction Con tra*dic tion, n. [L. contradictio answer, objection: cf. F. contradiction.] 1. An assertion of the contrary to what has been said or affirmed; denial of the truth of a statement or assertion; contrary declaration; gainsaying.… …   The Collaborative International Dictionary of English

  • excluded middle, principle of — (or law of ) The logical law asserting that either p or not p . It excludes middle cases such as propositions being half correct or more or less right. The principle directly asserting that each proposition is either true or false is properly… …   Philosophy dictionary

  • excluded middle — /əkskludəd ˈmɪdl/ (say uhkskloohduhd midl) noun law of the, Logic the law which states that a proposition is either true or false, or that a thing either has or does not have a given property …  

  • EXCLUDED MIDDLE —    the LOGICAL law which states that A is either B or not B …   Concise dictionary of Religion

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