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Extensionality

In logic, extensionality, or extensional equality, refers to principles that judge objects to be equal if they have the same external properties. It stands in contrast to the concept of intensionality, which is concerned with whether the internal definitions of objects are the same.

In mathematics, Extensionality principles & Example

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In mathematics

RelationsExtensionsSet theoryAxiom of extensionalitySets
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Extensionality principles

Univalent foundations
1 related topics

Example

Natural numbers
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Overview

LogicEqual
2 related topics

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Overview

In mathematics

Extensionality principles

Example

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Extensionality

Nodes22
Edges21
Triples31
Avg. degree1.91
Density0.090909
Components1

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Extensionality

Top relations

related to References · 25
Extensionality → Archived, Carnap, Dec, Formalization, Gil, Harvard University Press, II, Intensional Logic, ISSN, January, JSTOR, Logic, LXIX, Marcus, May, Mind, Philosophy, Rudolf, Ruth Barcan, Sagi
related to Extensionality principles · 4
Extensionality → Functional, Propositional, There, Univalence
related to In mathematics · 2
Extensionality → In, The

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equality equal extensional principles functions mathematics two objects logic set theory relations example also axiom equivalence foundations intensional predicates functional

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SubjectPredicateObjectConfidenceSrc
Extensionalityrelated to Extensionality principlesThere0.60section
Extensionalityrelated to Extensionality principlesPropositional0.60section
Extensionalityrelated to Extensionality principlesFunctional0.60section
Extensionalityrelated to Extensionality principlesUnivalence0.60section
Extensionalityrelated to In mathematicsThe0.60section
Extensionalityrelated to In mathematicsIn0.60section
Extensionalityrelated to ReferencesMarcus0.60section
Extensionalityrelated to ReferencesRuth Barcan0.60section
Extensionalityrelated to ReferencesJanuary0.60section
Extensionalityrelated to ReferencesMind0.60section
Extensionalityrelated to ReferencesLXIX0.60section
Extensionalityrelated to ReferencesISSN0.60section

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