intuitionistic

  • 1Intuitionistic logic — Intuitionistic logic, or constructive logic, is a symbolic logic system differing from classical logic in its definition of the meaning of a statement being true. In classical logic, all well formed statements are assumed to be either true or… …

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  • 2Intuitionistic type theory — Intuitionistic type theory, or constructive type theory, or Martin Löf type theory or just Type Theory is a logical system and a set theory based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per… …

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  • 3intuitionistic logic — The logical system developed initially by A. Heyting (b. 1898) to formalize the reasonings allowed by mathematical intuitionism . It is designed so that p ∨ ¬ p is not a theorem, and the rule of inference from ¬¬ p to p is disallowed (the logic… …

    Philosophy dictionary

  • 4intuitionistic — adjective Dealing strictly in constructive proofs, abstaining from proof by contradiction. See Also: intuition …

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  • 5intuitionistic — intuitionism …

    Philosophy dictionary

  • 6intuitionistic — in·tu·i·tion·is·tic …

    English syllables

  • 7intuitionistic — adjective see intuitionist II …

    Useful english dictionary

  • 8intuitionistic logic — noun A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirces law. It is the foundation of intuitionism. Just because is not axiomatically true (for all P) does not mean that is… …

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  • 9Paraconsistent logic — A paraconsistent logic is a logical system that attempts to deal with contradictions in a discriminating way. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing paraconsistent (or… …

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  • 10Curry–Howard correspondence — A proof written as a functional program: the proof of commutativity of addition on natural numbers in the proof assistant Coq. nat ind stands for mathematical induction, eq ind for substitution of equals and f equal for taking the same function… …

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