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gptkbp:instanceOf
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axiomatic system
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gptkbp:abbreviation
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gptkb:ZF
gptkb:ZFC_(with_axiom_of_choice)
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gptkbp:alsoKnownAs
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ZF axioms
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gptkbp:category
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gptkb:logic
gptkb:set_theory
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gptkbp:consistsOf
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gptkb:axiom_schema_of_replacement
gptkb:axiom_of_empty_set
gptkb:axiom_of_extensionality
gptkb:axiom_of_pairing
gptkb:axiom_of_power_set
gptkb:axiom_of_regularity
gptkb:axiom_of_union
gptkb:axiom_schema_of_separation
axiom of infinity
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gptkbp:extendsTo
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gptkb:Zermelo–Fraenkel_set_theory_with_choice
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gptkbp:field
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gptkb:set_theory
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gptkbp:formedBy
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early 20th century
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https://www.w3.org/2000/01/rdf-schema#label
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Zermelo–Fraenkel axioms
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gptkbp:influencedBy
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gptkb:Russell's_paradox
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gptkbp:language
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gptkb:first-order_logic
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gptkbp:namedAfter
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gptkb:Ernst_Zermelo
gptkb:Abraham_Fraenkel
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gptkbp:purpose
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avoid set-theoretic paradoxes
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gptkbp:relatedTo
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gptkb:Peano_axioms
gptkb:Von_Neumann–Bernays–Gödel_set_theory
axiom of choice
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gptkbp:replacedBy
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gptkb:naive_set_theory
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gptkbp:usedIn
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foundations of mathematics
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gptkbp:bfsParent
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gptkb:Set_Theory
gptkb:Set_theory
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gptkbp:bfsLayer
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5
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