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gptkb:supercompact_cardinal_axiom
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very high
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gptkb:Woodin_cardinal
|
stronger than measurable cardinal
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gptkb:extendible_cardinal_axiom
|
very high
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gptkb:von_Neumann–Bernays–Gödel_set_theory
|
same as Zermelo–Fraenkel set theory
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gptkb:Mahlo_cardinal
|
stronger than inaccessible cardinal
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gptkb:measurable_cardinal_axiom
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stronger than ZFC
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gptkb:huge_cardinal
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very high
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gptkb:large_cardinal_axioms
|
higher than ZFC
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gptkb:projective_determinacy
|
large cardinals
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gptkb:ZFC_with_large_cardinals
|
greater than ZFC
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gptkb:Large_Cardinal_Axioms
|
Stronger than ZFC
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gptkb:Large_cardinal_axioms
|
Strictly increases with stronger axioms
|
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gptkb:Mahlo_cardinal_axiom
|
between inaccessible and weakly compact cardinal axioms
|
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gptkb:Huge_cardinal_axiom
|
Very high
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gptkb:Π^1_1-CA_0
|
stronger than ATR_0
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gptkb:strongly_compact_cardinal_axiom
|
greater than measurable cardinal
|
|
gptkb:Inaccessible_cardinal_axiom
|
stronger than ZFC
|
|
gptkb:Woodin_cardinal
|
weaker than supercompact cardinal
|
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gptkb:ZFC+large_cardinal_axioms
|
greater than ZFC
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gptkb:Supercompact_cardinal_axiom
|
strong
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