Constructible Universe

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
class in set theory
gptkbp:alsoKnownAs L
gptkbp:builtBy transfinite recursion
gptkbp:contains all ordinals
gptkbp:containsElement constructible set
gptkbp:definedIn gptkb:set_theory
gptkbp:describedBy Gödel's 1938 paper "The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of 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 Constructible Universe
gptkbp:importantFor gptkb:set_theory
foundations of mathematics
model theory
independence proofs
gptkbp:introduced gptkb:Kurt_Gödel
gptkbp:introducedIn 1938
gptkbp:isConstructedFrom definable sets
hereditarily definable sets
gptkbp:symbol L
gptkbp:uses relative consistency of Generalized Continuum Hypothesis
relative consistency of Axiom of Choice
gptkbp:bfsParent gptkb:Axiomatic_Set_Theory
gptkbp:bfsLayer 7