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gptkb:ZFC_(with_axiom_of_choice)
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existence of a non-measurable set of reals
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a strongly compact cardinal
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a Hamel basis for the real numbers as a vector space over the rationals
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a well-ordering of the reals
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a Ramsey cardinal
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a 0# (zero sharp)
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a Reinhardt cardinal
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gptkb:ZFC_(with_axiom_of_choice)
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existence of measurable cardinals
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a nonprincipal ultrafilter on the natural numbers
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a supercompact cardinal
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gptkb:ZFC_(with_axiom_of_choice)
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existence of 0# (zero sharp)
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gptkb:ZFC_(with_axiom_of_choice)
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existence of nontrivial elementary embeddings of the universe
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a basis for every vector space
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a nontrivial elementary embedding of the universe
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gptkb:ZFC_(with_axiom_of_choice)
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gptkb:Whitehead_problem
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gptkb:ZFC_(with_axiom_of_choice)
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gptkb:continuum_hypothesis
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gptkb:ZFC_(with_axiom_of_choice)
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gptkb:large_cardinal_axioms
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a Lebesgue non-measurable set
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gptkb:ZFC_(with_axiom_of_choice)
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axiom of constructibility
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gptkb:ZFC_(with_axiom_of_choice)
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existence of a Mahlo cardinal
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