axiom of constructibility (V=L)
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:alsoKnownAs |
V=L
|
| gptkbp:category |
axiom of set theory
|
| gptkbp:consistencyRelativeTo |
gptkb:ZFC
|
| gptkbp:controversy |
gptkb:set_theory
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:hasModel |
gptkb:constructible_universe
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of constructibility (V=L)
|
| gptkbp:implies |
gptkb:Axiom_of_Choice
gptkb:Generalized_Continuum_Hypothesis |
| gptkbp:introduced |
gptkb:Kurt_Gödel
|
| gptkbp:introducedIn |
1938
|
| gptkbp:opposedBy |
many set theorists
|
| gptkbp:prohibits |
gptkb:large_cardinal_axioms
|
| gptkbp:state |
every set is constructible
|
| gptkbp:symbol |
V=L
|
| gptkbp:usedIn |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:bfsParent |
gptkb:constructible_universe_(L)
|
| gptkbp:bfsLayer |
7
|