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ZF (Zermelo–Fraenkel set theory without Choice)
URI:
https://gptkb.org/entity/ZF_(Zermelo–Fraenkel_set_theory_without_Choice)
GPTKB entity
Statements (32)
Predicate
Object
gptkbp:instanceOf
gptkb:set_theory
gptkbp:abbreviation
gptkb:ZF
gptkbp:axiomsCount
8
gptkbp:category
gptkb:logic
gptkb:set_theory
gptkbp:consistencyRelativeTo
gptkb:ZFC
gptkbp:excludesAxiom
gptkb:Axiom_of_Choice
gptkbp:extendsTo
gptkb:ZFC
gptkbp:field
gptkb:logic
gptkb:set_theory
gptkbp:formedBy
early 20th century
gptkbp:fullName
gptkb:Zermelo–Fraenkel_set_theory_without_the_Axiom_of_Choice
gptkbp:hasAxiom
gptkb:Axiom_of_Empty_Set
gptkb:Axiom_of_Extensionality
gptkb:Axiom_of_Infinity
gptkb:Axiom_of_Pairing
gptkb:Axiom_of_Power_Set
gptkb:Axiom_of_Regularity
gptkb:Axiom_of_Union
gptkb:Axiom_Schema_of_Replacement
gptkb:Axiom_Schema_of_Separation
gptkbp:hasModel
gptkb:von_Neumann_universe
https://www.w3.org/2000/01/rdf-schema#label
ZF (Zermelo–Fraenkel set theory without Choice)
gptkbp:influenced
gptkb:ZFC
modern set theory
gptkbp:influencedBy
gptkb:Zermelo_set_theory
gptkbp:language
gptkb:first-order_logic
gptkbp:namedAfter
gptkb:Ernst_Zermelo
gptkb:Abraham_Fraenkel
gptkbp:usedIn
foundations of mathematics
gptkbp:bfsParent
gptkb:ZFC_(with_Axiom_of_Choice)
gptkbp:bfsLayer
6