Zermelo-Fraenkel set theory with the Axiom of Choice and the Continuum Hypothesis
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:set_theory
|
| gptkbp:abbreviation |
gptkb:ZFC+CH
|
| gptkbp:basedOn |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:consistencyRelativeTo |
Zermelo-Fraenkel set theory with the Axiom of Choice
|
| gptkbp:field |
gptkb:logic
gptkb:set_theory |
| gptkbp:hasAxiom |
gptkb:Axiom_of_Choice
gptkb:Continuum_Hypothesis |
| https://www.w3.org/2000/01/rdf-schema#label |
Zermelo-Fraenkel set theory with the Axiom of Choice and the Continuum Hypothesis
|
| gptkbp:implies |
all sets can be well-ordered
the cardinality of the continuum is aleph-one |
| gptkbp:relatedTo |
gptkb:Gödel's_constructible_universe
independence results in set theory |
| gptkbp:statusOfAC |
assumed true
|
| gptkbp:statusOfCH |
assumed true
|
| gptkbp:usedFor |
foundation of mathematics
|
| gptkbp:bfsParent |
gptkb:ZFC+CH
|
| gptkbp:bfsLayer |
8
|