Excluded middle

Excluded middle
Exclude Ex*clude", v. t. [imp. & p. p. {Excluded}; p. pr. & vb. n. {Excluding}.] [L. excludere, exclusum; ex out + claudere to shut. See {Close}.] 1. To shut out; to hinder from entrance or admission; to debar from participation or enjoyment; to deprive of; to except; -- the opposite to admit; as, to exclude a crowd from a room or house; to exclude the light; to exclude one nation from the ports of another; to exclude a taxpayer from the privilege of voting. [1913 Webster]

And none but such, from mercy I exclude. --Milton. [1913 Webster]

2. To thrust out or eject; to expel; as, to exclude young animals from the womb or from eggs. [1913 Webster]

{Excluded middle}. (logic) The name given to the third of the ``three logical axioms,'' so-called, namely, to that one which is expressed by the formula: ``Everything is either A or Not-A.'' no third state or condition being involved or allowed. See {Principle of contradiction}, under {Contradiction}. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • excluded middle — excluded middle, Logic. the premise that, since every proposition must be true or false, there can be no third alternative or middle ground between true and false, or between contradictions …   Useful english dictionary

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

  • 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 …   Australian English dictionary

  • 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

  • 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 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

  • 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

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

  • principle of the excluded middle — noun (logic) The principle that a thing must be either one thing or its contradictory • • • Main Entry: ↑principle …   Useful english dictionary

  • of excluded middle — (logic) The principle that everything is either true or false ● exclude …   Useful english dictionary

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