inaccessible cardinal axiom

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:Titan
gptkbp:consistencyStrength stronger than ZFC
gptkbp:field gptkb:set_theory
gptkbp:formedBy gptkb:Kurt_Gödel
https://www.w3.org/2000/01/rdf-schema#label inaccessible cardinal axiom
gptkbp:implies ZFC is consistent
existence of uncountable regular strong limit cardinal
gptkbp:introducedIn 1930s
gptkbp:relatedTo gptkb:large_cardinal_axiom
gptkbp:state There exists an inaccessible cardinal.
gptkbp:usedIn studies of large cardinals
gptkbp:bfsParent gptkb:large_cardinal_axioms
gptkbp:bfsLayer 6