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gptkbp:instanceOf
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gptkb:set_theory
axiom system
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gptkbp:alternativeTo
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gptkb:von_Neumann–Bernays–Gödel_set_theory
gptkb:New_Foundations
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gptkbp:basisFor
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most of modern mathematics
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gptkbp:consistsOf
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gptkb:Axiom_of_Choice
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_Replacement
gptkb:Axiom_of_Union
gptkb:Axiom_Schema_of_Separation
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gptkbp:expressedIn
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gptkb:first-order_logic
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gptkbp:formedBy
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early 20th century
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gptkbp:fullName
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gptkb:Zermelo–Fraenkel_set_theory_with_the_axiom_of_choice
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https://www.w3.org/2000/01/rdf-schema#label
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ZFC axioms
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gptkbp:includes
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axiom of choice
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gptkbp:namedAfter
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gptkb:Ernst_Zermelo
gptkb:Abraham_Fraenkel
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gptkbp:numberOfAxioms
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9 (plus one schema)
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gptkbp:standardFormulationOf
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gptkb: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:axiom_of_Zermelo–Fraenkel_set_theory
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gptkbp:bfsLayer
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7
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