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Intuitionistic logic

Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by more closely mirroring the notion of constructive proof. In particular, systems of intuitionistic logic do not assume the law of excluded middle and double negation elimination, which are…

Art, Mathematical constructivism & Theorems

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Mathematical constructivism

Syntax

Theorems

Semantics

Metalogic

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Intuitionistic logic

Nodes121
Edges120
Triples97
Avg. degree1.98
Density0.016529
Components1

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Intuitionistic logic

Top relations

related to External links · 19
Intuitionistic logic → David Charles, Edward, In Shapiro, In Zalta, Intuitionism, ISBN, ISSN, Logic, Mark, Mathematics, May, McCarty, OCLC, Philosophy, Stanford Encyclopedia, Stewart, The Development, The Oxford Handbook, Van Atten
related to Theorems · 13
Intuitionistic logic → Due, Each, For, Hilbert, If, In, It, Many, The, THEN-1, THEN-2, When, With
related to Mathematical constructivism · 11
Intuitionistic logic → Brouwer, Curry, David Hilbert, Hilbert, Howard, In, Intuitionistic, Operations, The, This, We
related to Semantics · 11
Intuitionistic logic → Bob Constable, Glivenko, Heyting, In, Instead, Kripke, One, Statements, Tarski-like, The, Unproved
related to Double negations · 7
Intuitionistic logic → By, Formally, PEM, Such, The, This, When
related to Sequent calculus · 6
Intuitionistic logic → Gerhard Gentzen, He, In LK, LJ, LK, Other
related to Tarski-like semantics · 6
Intuitionistic logic → However, In, It, Robert Constable, Tarski-like, That
related to Heyting algebra semantics · 5
Intuitionistic logic → Boolean, Heyting, In, The, Then
related to Admissible rules · 4
Intuitionistic logic → Another, For, In, One
related to Hilbert-style calculus · 4
Intuitionistic logic → Hilbert-style, In, Intuitionistic, This

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Important terminology

logic displaystyle intuitionistic phi neg psi classical one also lor excluded middle formula negation propositional law implication proof semantics calculus

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Intuitionistic logicis aBHK interpretation.Several systems of semantics for intuitionistic logic have been studied0.90text
Intuitionistic logicis acommonly used tool in developing approaches to constructivism in mathematics0.90text
Intuitionistic logicis atheorem in classical logic0.90text
the Peirce arrowinstance ofIt is even possible to define all in terms of a sole sufficient operator0.80text
Intuitionistic logicrelated to Admissible rulesIn0.60section
Intuitionistic logicrelated to Admissible rulesFor0.60section
Intuitionistic logicrelated to Admissible rulesAnother0.60section
Intuitionistic logicrelated to Admissible rulesOne0.60section
Intuitionistic logicrelated to Double negationsPEM0.60section
Intuitionistic logicrelated to Double negationsSuch0.60section
Intuitionistic logicrelated to Double negationsFormally0.60section
Intuitionistic logicrelated to Double negationsBy0.60section

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