GPTKB
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hasAxiom
URI:
https://gptkb.org/prop/hasAxiom
870
triples
GPTKB property
Alternative names (10)
axiom
•
axiomatizedBy
•
axioms
•
axiomsInclude
•
containsAxiom
•
hasAxiomSystem
•
hasAxioms
•
includesAxiom
•
isAxiomatizationOf
•
satisfiesAxiom
Random triples
Subject
Object
gptkb:Set_theory
gptkb:Axiom_of_Choice
gptkb:ZF_(Zermelo–Fraenkel_set_theory_without_Choice)
gptkb:Axiom_of_Union
gptkb:vertex_algebra
gptkb:vacuum_axiom
gptkb:Hyperbolic_geometry
Through a point not on a line, there are infinitely many lines parallel to the given line
gptkb:ZFC_set_theory
gptkb:Axiom_of_Power_Set
gptkb:Set_Theory
gptkb:Axiom_of_Choice
gptkb:Kripke–Platek_set_theory
gptkb:Union
gptkb:Axiomatic_set_theory
gptkb:Axiom_of_Union
gptkb:NBG_(set_theory)
gptkb:Axiom_of_Extensionality
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_(ZFC)
gptkb:Axiom_of_Union
gptkb:Euclidean_geometry
a straight line segment can be extended indefinitely
gptkb:Bernays–Kuratowski–von_Neumann_set_theory
gptkb:Axiom_of_Replacement
gptkb:von_Neumann–Morgenstern_utility_theorem
independence
gptkb:First-order_logic
gptkb:Hilbert_system
gptkb:ZF_(Zermelo–Fraenkel_set_theory_without_Choice)
gptkb:Axiom_of_Power_Set
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_(ZFC)
gptkb:Axiom_of_Extensionality
gptkb:MK_set_theory
gptkb:Axiom_of_Power_Set
gptkb:MK_class_theory
gptkb:Axiom_of_Replacement
gptkb:Euclidean_geometry
a circle can be drawn with any center and radius
gptkb:Gödel–Löb_provability_logic
necessitation rule
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