Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
large cardinal
|
| gptkbp:category |
gptkb:set_theory
large cardinals |
| gptkbp:consistencyStatus |
inconsistent with the axiom of choice
|
| gptkbp:definedIn |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Reinhardt cardinal
|
| gptkbp:introducedIn |
1970s
|
| gptkbp:namedAfter |
gptkb:William_N._Reinhardt
|
| gptkbp:property |
consistent with ZF
inconsistent with ZFC is a type of large cardinal admits a nontrivial elementary embedding of the universe into itself |
| gptkbp:relatedTo |
gptkb:Kunen_inconsistency
gptkb:super_Reinhardt_cardinal Berkeley cardinal |
| gptkbp:bfsParent |
gptkb:William_Reinhardt
|
| gptkbp:bfsLayer |
6
|