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 |
https://www.w3.org/2000/01/rdf-schema#label |
ZFC+CH
|
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
|