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Tekoälykääntäjä
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Yritit hakea fraasilla, joka sisältää useita sanoja. Parempien hakutulosten saamiseksi kokeile hakea sanoja erikseen: intuitionistic, logic
Määritelmät
Substantiivit
- (mathematics, logic) A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism.
Esimerkit
- Just because P ∨ ¬ P is not axiomatically true (for all P) does not mean that ¬(P ∨ ¬ P) is true (for some P); this would lead to the contradiction ¬ P ∧ ¬ ¬ P . In fact, the deduction ¬ ∀ P : (P ∨ ¬ P) ⇒ ∃ P : ¬ (P ∨ ¬ P) is not valid in second-order intuitionistic logic.
- One reason why intuitionistic logic doesn't have any specific truth-valuation functions might be because intuitionistic logic can be concretized into a variety of different specific logics, each one with its own Heyting-algebra and truth-valuation functions.
- Whereas classical logic and also ternary logic have truth valuation functions for assertions and can use truth tables to evaluate tautologies, intuitionistic logic has no truth-value functions and cannot use truth tables to evaluate tautologies (instead, Kripke models may be used).
- The Lindenbaum-Tarski algebra of propositional intuitionistic logic is a Heyting algebra.http://en.wikipedia.org/wiki/Heyting_algebra#Examples
Taivutusmuodot
| Monikko | intuitionistic logics |