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gptkbp:instanceOf
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gptkb:set_theory
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gptkbp:abbreviation
|
gptkb:NF
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gptkbp:allows
|
universal set
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gptkbp:alsoKnownAs
|
gptkb:New_Foundations
|
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gptkbp:compatibleWith
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gptkb:Axiom_of_Choice
|
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gptkbp:creator
|
gptkb:Willard_Van_Orman_Quine
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gptkbp:feature
|
universal set exists
uses stratified comprehension
avoids Russell's paradox by stratification
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gptkbp:field
|
gptkb:logic
foundations of mathematics
|
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gptkbp:hasAxiom
|
extensionality axiom
stratified comprehension axiom
|
|
gptkbp:hasModel
|
no known model in ZFC
|
|
gptkbp:influencedBy
|
gptkb:Russell's_type_theory
|
|
gptkbp:notable_for
|
gptkb:NFU_(New_Foundations_with_Urelements)
|
|
gptkbp:notableAchievement
|
consistency not yet proven relative to ZFC
consistency relative to TST + Infinity
|
|
gptkbp:publishedIn
|
gptkb:American_Mathematical_Monthly
|
|
gptkbp:relatedTo
|
gptkb:Zermelo-Fraenkel_set_theory
Type theory
|
|
gptkbp:studiedBy
|
gptkb:J._Barkley_Rosser
gptkb:Thomas_Forster
gptkb:Randall_Holmes
|
|
gptkbp:website
|
https://plato.stanford.edu/entries/settheory-alternative/#NewFounNF
|
|
gptkbp:yearProposed
|
1937
|
|
gptkbp:bfsParent
|
gptkb:New_Foundations_with_Urelements
gptkb:Jensen's_model_(NFU)
|
|
gptkbp:bfsLayer
|
8
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Quine's New Foundations
|