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gptkb:Large_cardinal_axioms
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Strictly increases with stronger axioms
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gptkb:huge_cardinal
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very high
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gptkb:Chang's_Conjecture
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between weakly compact and measurable cardinals
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gptkb:Large_Cardinal_Axioms
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Stronger than ZFC
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gptkb:ZFC+large_cardinal_axioms
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greater than ZFC
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gptkb:weakly_compact_cardinal_axiom
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weaker than measurable cardinal axiom
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gptkb:Inaccessible_cardinal_axiom
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stronger than ZFC
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gptkb:Supercompact_cardinal_axiom
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strong
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gptkb:Mahlo_cardinal_axiom
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between inaccessible and weakly compact cardinal axioms
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gptkb:inaccessible_cardinal_axiom
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stronger than ZFC
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gptkb:Zermelo–Fraenkel_set_theory_with_large_cardinal_axioms
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greater than ZFC
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gptkb:von_Neumann–Bernays–Gödel_set_theory
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same as Zermelo–Fraenkel set theory
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gptkb:Huge_cardinal_axiom
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Very high
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gptkb:supercompact_cardinal_axiom
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very high
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gptkb:Axiom_of_Real_Determinacy
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strong large cardinal axioms
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gptkb:extendible_cardinal_axiom
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very high
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gptkb:strongly_compact_cardinal
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between measurable and supercompact cardinals
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gptkb:ZFC_with_large_cardinals
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greater than ZFC
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gptkb:projective_determinacy
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large cardinals
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gptkb:large_cardinal_axioms
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higher than ZFC
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