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gptkb:Large_cardinal_axioms
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Strictly increases with stronger axioms
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gptkb:Π^1_1-CA_0
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stronger than ATR_0
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gptkb:extendible_cardinal_axiom
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very high
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gptkb:Woodin_cardinal
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weaker than supercompact cardinal
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gptkb:Large_Cardinal_Axioms
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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:Zermelo–Fraenkel_set_theory_with_large_cardinal_axioms
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greater than ZFC
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gptkb:huge_cardinal
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very high
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gptkb:inaccessible_cardinal_axiom
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stronger than ZFC
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gptkb:weakly_compact_cardinal_axiom
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stronger than inaccessible cardinal axiom
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gptkb:Erdős_cardinal
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between weakly compact and measurable cardinals
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gptkb:large_cardinal_axioms
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higher than ZFC
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gptkb:Inaccessible_cardinal_axiom
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stronger than ZFC
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gptkb:Mahlo_cardinal
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stronger than inaccessible cardinal
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gptkb:strongly_compact_cardinal_axiom
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greater than measurable cardinal
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gptkb:Huge_cardinal_axiom
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Very high
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gptkb:Mahlo_cardinal_axiom
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between inaccessible and weakly compact cardinal axioms
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gptkb:strongly_compact_cardinal_axiom
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less than supercompact cardinal
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gptkb:ZFC_with_large_cardinals
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greater than ZFC
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gptkb:Determinacy_of_all_Projective_Games
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Large Cardinals
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