Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:set_theory
|
| gptkbp:abbreviation |
gptkb:Zermelo-Fraenkel_set_theory_with_Choice_and_Continuum_Hypothesis
|
| gptkbp:basedOn |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:consistencyRelativeTo |
gptkb:ZFC
|
| gptkbp:fullName |
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_and_the_Continuum_Hypothesis
|
| gptkbp:hasAxiom |
gptkb:Axiom_of_Choice
gptkb:Continuum_Hypothesis |
| gptkbp:independenceResult |
CH can be added to ZFC without inconsistency (if ZFC is consistent)
CH is independent of ZFC |
| gptkbp:statusOfAC |
assumed true
|
| gptkbp:statusOfCH |
assumed true
|
| gptkbp:studiedBy |
gptkb:Kurt_Gödel
gptkb:Paul_Cohen |
| gptkbp:usedIn |
gptkb:logic
gptkb:set_theory |
| gptkbp:bfsParent |
gptkb:Whitehead_problem
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
ZFC+CH
|