Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
L hierarchy
|
| gptkbp:assumes |
gptkb:axiom_of_regularity
|
| gptkbp:builtBy |
transfinite recursion
|
| gptkbp:contrastsWith |
gptkb:Von_Neumann_universe
|
| gptkbp:describedBy |
Gödel's 1938 paper
|
| gptkbp:heldBy |
a cumulative hierarchy of sets
|
| https://www.w3.org/2000/01/rdf-schema#label |
constructible hierarchy
|
| gptkbp:importantFor |
gptkb:descriptive_set_theory
inner model theory |
| gptkbp:introduced |
gptkb:Kurt_Gödel
|
| gptkbp:levelLimit |
union of all previous levels
|
| gptkbp:levelSuccessor |
definable subsets of previous level
|
| gptkbp:levelZero |
empty set
|
| gptkbp:notation |
L_alpha
|
| gptkbp:relatedTo |
gptkb:set_theory
gptkb:constructible_universe axiom of constructibility |
| gptkbp:unionOfAllLevels |
L
|
| gptkbp:usedIn |
proof of consistency of the generalized continuum hypothesis
proof of consistency of the axiom of choice |
| gptkbp:bfsParent |
gptkb:Gödel's_constructible_universe
|
| gptkbp:bfsLayer |
7
|