Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:consistencyStrength |
stronger than ZFC
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
Inaccessible cardinal axiom
|
| gptkbp:implies |
existence of a strongly inaccessible cardinal
|
| gptkbp:introduced |
1930s
|
| gptkbp:involves |
uncountable regular strong limit cardinal
|
| gptkbp:notProvableIn |
gptkb:ZFC
|
| gptkbp:relatedTo |
gptkb:large_cardinal_axiom
|
| gptkbp:requires |
axiom of choice
|
| gptkbp:state |
there exists an inaccessible cardinal
|
| gptkbp:symbol |
κ is inaccessible
|
| gptkbp:usedIn |
studies of large cardinals
|
| gptkbp:bfsParent |
gptkb:Large_cardinal_axioms
|
| gptkbp:bfsLayer |
8
|