Definition of law or principle of the excluded middle in English:

law (or principle) of the excluded middle

  • Logic The principle that one (and one only) of two contradictory propositions must be true.
    More example sentences
    • This is likely because in logic a paradox is going to be translated as a strict contradiction - a clear violation of the law of the excluded middle.
    • In his Hamburg lecture in 1921, Hilbert first presented the idea of using choice functions to deal with the principle of the excluded middle in a formal system for arithmetic.
    • In 1913 Lesniewski published an article on the law of the excluded middle, then in the following year a publication on Russell's paradox.
See parent entry: exclude

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a small amount; a little