Measurable cardinal axiom

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:Titan
gptkbp:consequence the continuum hypothesis is independent of ZFC
gptkbp:consistency cannot be proved in ZFC if ZFC is consistent
gptkbp:field gptkb:set_theory
https://www.w3.org/2000/01/rdf-schema#label Measurable cardinal axiom
gptkbp:implies existence of a non-principal, κ-additive, 0-1 valued measure on κ
gptkbp:introduced gptkb:Stanislaw_Ulam
gptkbp:isWeakerThan gptkb:inaccessible_cardinal_axiom
gptkbp:relatedTo gptkb:large_cardinal_axioms
gptkbp:state there exists a measurable cardinal
gptkbp:usedIn studies of large cardinals
gptkbp:bfsParent gptkb:Large_cardinal_axioms
gptkbp:bfsLayer 8