Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:set_theory
|
| gptkbp:abbreviation |
Zermelo-Fraenkel set theory with Choice and not Continuum Hypothesis
|
| gptkbp:basedOn |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:consistencyRelativeTo |
ZFC (if ZFC is consistent, so is ZFC+¬CH)
|
| gptkbp:field |
gptkb:logic
gptkb:set_theory |
| gptkbp:fullName |
Zermelo-Fraenkel set theory with the Axiom of Choice and the negation of the Continuum Hypothesis
|
| gptkbp:hasAxiom |
gptkb:Axiom_of_Choice
negation of the Continuum Hypothesis |
| https://www.w3.org/2000/01/rdf-schema#label |
ZFC+¬CH
|
| gptkbp:notableAchievement |
Paul Cohen proved ZFC+¬CH is consistent if ZFC is consistent
Kurt Gödel proved ZFC+CH is consistent if ZFC is consistent |
| gptkbp:usedIn |
independence proofs in set theory
|
| gptkbp:bfsParent |
gptkb:Whitehead_problem
|
| gptkbp:bfsLayer |
7
|