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Bar induction

Bar induction is a reasoning principle used in intuitionistic mathematics, introduced by L. E. J. Brouwer. Bar induction's main use is the intuitionistic derivation of the fan theorem, a key result used in the derivation of the uniform continuity theorem.

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Bar induction

Nodes20
Edges19
Triples43
Avg. degree1.9
Density0.1
Components1

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Bar induction

Top relations

related to References · 32
Bar induction → Albert, Amsterdam, Bar, Brouwer Brouwer, Choice, Clarendon Press, Collected Works, Constructivism, Dalen, Dirk, Dragalin, Elements, Elsevier, EMS PressMichael Dummett, Encyclopedia, Foundations, Journal, Kleene, Lock-gray-alt-2, Lock-green
related to Unrestricted bar induction · 7
Bar induction → An, Brouwer, Dummett, Given, However, The, The Bar Theorem
related to Definition · 2
Bar induction → Given, There
is a · 1
Bar induction → reasoning principle used in intuitionistic mathematics
related to Relations to other fields · 1
Bar induction → In

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bar induction choice also displaystyle finite sequences sequence principle given one every satisfying used intuitionistic mathematics natural numbers decidable initial

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bar inductionis areasoning principle used in intuitionistic mathematics0.90text
Bar inductionrelated to DefinitionGiven0.60section
Bar inductionrelated to DefinitionThere0.60section
Bar inductionrelated to ReferencesBrouwer Brouwer0.60section
Bar inductionrelated to ReferencesCollected Works0.60section
Bar inductionrelated to ReferencesVol0.60section
Bar inductionrelated to ReferencesAmsterdam0.60section
Bar inductionrelated to ReferencesNorth-Holland0.60section
Bar inductionrelated to ReferencesLock-green0.60section
Bar inductionrelated to ReferencesLock-gray-alt-20.60section
Bar inductionrelated to ReferencesLock-red-alt-20.60section
Bar inductionrelated to ReferencesWikisource-logo0.60section

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