Philosophy dictionary. . 2011.

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  • Intuitionistic 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… …   Wikipedia

  • Intuitionistic 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… …   Wikipedia

  • intuitionistic 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

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

  • intuitionistic — in·tu·i·tion·is·tic …   English syllables

  • intuitionistic — adjective see intuitionist II …   Useful english dictionary

  • intuitionistic 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… …   Wiktionary

  • Paraconsistent 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… …   Wikipedia

  • Curry–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… …   Wikipedia

  • Intuitionism — This article is about Intuitionism in mathematics and philosophical logic. For other uses, see Ethical intuitionism. In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as …   Wikipedia

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