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gptkb:large_cardinal_axioms
|
higher than ZFC
|
|
gptkb:supercompact_cardinal_axiom
|
very high
|
|
gptkb:ZFC_with_large_cardinals
|
greater than ZFC
|
|
gptkb:weakly_compact_cardinal_axiom
|
stronger than inaccessible cardinal axiom
|
|
gptkb:ZFC+large_cardinal_axioms
|
greater than ZFC
|
|
gptkb:Mahlo_cardinal
|
stronger than inaccessible cardinal
|
|
gptkb:Supercompact_cardinal_axiom
|
strong
|
|
gptkb:Chang's_Conjecture
|
between weakly compact and measurable cardinals
|
|
gptkb:von_Neumann–Bernays–Gödel_set_theory
|
same as Zermelo–Fraenkel set theory
|
|
gptkb:strongly_compact_cardinal
|
between measurable and supercompact cardinals
|
|
gptkb:Huge_cardinal_axiom
|
Very high
|
|
gptkb:extendible_cardinal_axiom
|
very high
|
|
gptkb:Zermelo–Fraenkel_set_theory_with_large_cardinal_axioms
|
greater than ZFC
|
|
gptkb:measurable_cardinal_axiom
|
stronger than ZFC
|
|
gptkb:Determinacy_of_all_Projective_Games
|
Large Cardinals
|
|
gptkb:Erdős_cardinal
|
between weakly compact and measurable cardinals
|
|
gptkb:weakly_compact_cardinal_axiom
|
weaker than measurable cardinal axiom
|
|
gptkb:strongly_compact_cardinal_axiom
|
less than supercompact cardinal
|
|
gptkb:strongly_compact_cardinal_axiom
|
greater than measurable cardinal
|
|
gptkb:Π^1_1-CA_0
|
stronger than ATR_0
|