|
gptkb:ZFC_(with_axiom_of_choice)
|
gptkb:large_cardinal_axioms
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a Ramsey cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a 0# (zero sharp)
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a weakly compact cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
gptkb:Suslin's_hypothesis
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a non-measurable set of reals
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a Lebesgue non-measurable set
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a strongly inaccessible cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of inner models with large cardinals
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a supercompact cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a huge cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a Reinhardt cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of inaccessible cardinals
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a nonprincipal ultrafilter on the natural numbers
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a strongly compact cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a measurable cardinal
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of 0# (zero sharp)
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a Hamel basis for the real numbers as a vector space over the rationals
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a well-ordering of the reals
|
|
gptkb:ZFC_(with_axiom_of_choice)
|
existence of a Mahlo cardinal
|