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An uncountable regular strong-limit cardinal.
The existence of an inaccessible cardinal is not provable in ZFC if ZFC is consistent.
wp-inaccessible-cardinalnlab-inaccessible-cardinalsep-large-cardinalsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Strongly inaccessible cardinals form an early benchmark in the large-cardinal hierarchy.
The target is a member or subtype of the broader source class.
wp-inaccessible-cardinalsep-large-cardinalsThis is an authored directed relation from the source endpoint to the target endpoint.
In ZFC, every measurable cardinal is strongly inaccessible.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-measurable-cardinalwp-inaccessible-cardinalEach relation below starts at this concept.
No direct relations are authored in this direction.