Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:describes |
existence of large cardinals
|
| gptkbp:example |
gptkb:Ramsey_cardinal
gptkb:huge_cardinal gptkb:Mahlo_cardinal gptkb:Woodin_cardinal measurable cardinal strong cardinal supercompact cardinal weakly compact cardinal inaccessible cardinal |
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
large cardinal axiom
|
| gptkbp:implies |
existence of infinite cardinals with strong properties
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:motive |
study of infinite sets
|
| gptkbp:relatedTo |
gptkb:continuum_hypothesis
gptkb:descriptive_set_theory axiom of choice inner model theory consistency strength determinacy axioms |
| gptkbp:status |
independent of ZFC
|
| gptkbp:studiedBy |
set theorists
|
| gptkbp:usedIn |
foundations of mathematics
|
| gptkbp:bfsParent |
gptkb:extendible_cardinal_axiom
gptkb:inaccessible_cardinal_axiom gptkb:strongly_compact_cardinal_axiom |
| gptkbp:bfsLayer |
7
|