• not-P" are true Latin: ex falso [sequitur] quodlibet, 'from falsehood, anything [follows]'; or ex contradictione [sequitur] quodlibet, 'from contradiction...
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  • Thumbnail for Contradiction
    contradictions. This is called the "principle of explosion", or "ex falso quodlibet" ("from falsity, anything follows"). In a complete logic, a formula...
    20 KB (2,670 words) - 19:31, 22 April 2025
  • Thumbnail for Negation
    {\displaystyle \neg P} infer Q {\displaystyle Q} ; this rule also being called ex falso quodlibet), and double negation elimination (from ¬ ¬ P {\displaystyle \neg...
    19 KB (2,236 words) - 02:31, 5 January 2025
  • audio player Ex falso quodlibet, the principle of explosion in logic This disambiguation page lists articles associated with the title Quodlibet. If an internal...
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  • true (proof by contradiction). However, the principle of explosion (ex falso quodlibet) has been accepted in some varieties of constructive mathematics,...
    14 KB (2,074 words) - 15:24, 5 March 2025
  • law of the excluded middle as well as the principle of explosion (ex falso quodlibet), and therefore holding neither of the following two derivations as...
    26 KB (4,334 words) - 15:57, 20 April 2025
  • Logical systems may or may not contain the principle of explosion (ex falso quodlibet in Latin), ⊥ ⊢ φ for all φ. By that principle, contradictions and...
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  • "Genius" mentality. This last chapter introduces one last concept, ex falso quodlibet, and mentions Theodore Roosevelt, as well as the election between...
    19 KB (2,098 words) - 10:11, 19 February 2025
  • Thumbnail for Quod Libet (software)
    organization features are also available through a standalone program, Ex Falso, which is based on the same code and libraries as Quod Libet. Can deal...
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  • A} is false, i.e., any statement follows from a false statement (ex falso quodlibet). What is important to the paradox is that the conditional in classical...
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  • Thumbnail for Graham Priest
    Verlag, 1989. Translated into Romanian as chapters in I. Lucica (ed.), Ex Falso Quodlibet: studii de logica paraconsistenta (in Romanian), Editura Technica...
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  • intuitionistic logic but without assuming the principle of explosion (ex falso quodlibet, “from falsehood, anything follows”). Features: Doesn’t automatically...
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  • inputs are different; symbolized as XOR or ⊕ {\displaystyle \oplus } . ex falso quodlibet A principle in classical logic stating that from a falsehood, any...
    271 KB (30,237 words) - 18:29, 25 April 2025
  • } . That article can be consulted for more, related equivalences. Ex falso quodlibet Tertium non datur Peirce's law Sainsbury, Richard. Paradoxes. Cambridge...
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  • Thumbnail for Material conditional
    From falsum ( ⊥ {\displaystyle \bot } ) one can derive any formula. (ex falso quodlibet) ⊥ A {\displaystyle {\frac {\bot }{A}}} ( ⊥ {\displaystyle \bot }...
    23 KB (2,109 words) - 16:56, 30 April 2025
  • Verlag, 1989. Translated into Romanian as chapters in I. Lucica (ed.), Ex Falso Quodlibet: studii de logica paraconsistenta (in Romanian), Editura Technica...
    37 KB (3,901 words) - 18:31, 28 January 2025