Gödel's constructible universe
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
L
|
| gptkbp:contains |
all ordinals
|
| gptkbp:containsElement |
constructible set
|
| gptkbp:defines |
the class of sets constructible from the ordinals
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:hasModel |
gptkb:Axiom_of_Choice
gptkb:Zermelo-Fraenkel_set_theory gptkb:Generalized_Continuum_Hypothesis |
| gptkbp:hasSubgroup |
gptkb:Von_Neumann_universe
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gödel's constructible universe
|
| gptkbp:introduced |
gptkb:Kurt_Gödel
|
| gptkbp:introducedIn |
1938
|
| gptkbp:isProperClass |
true
|
| gptkbp:relatedConcept |
gptkb:Von_Neumann_universe
gptkb:constructible_hierarchy inner model |
| gptkbp:symbol |
L
|
| gptkbp:usedIn |
independence proofs in set theory
|
| gptkbp:uses |
relative consistency of the Generalized Continuum Hypothesis
relative consistency of the Axiom of Choice |
| gptkbp:bfsParent |
gptkb:large_cardinal_axioms
|
| gptkbp:bfsLayer |
6
|