Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Set-theoretic concept
|
| gptkbp:basisFor |
Modern set theory
|
| gptkbp:consistsOf |
Transfinite sequence of sets
|
| gptkbp:describedBy |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:eachLevelContains |
All sets formed from previous levels
|
| gptkbp:formedBy |
Transfinite recursion
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cumulative hierarchy
|
| gptkbp:introduced |
gptkb:John_von_Neumann
|
| gptkbp:level |
V_alpha
|
| gptkbp:levelIndexedBy |
Ordinal numbers
|
| gptkbp:lowerAward |
Empty set
|
| gptkbp:prevention |
Set-theoretic paradoxes
|
| gptkbp:relatedTo |
gptkb:Axiom_of_regularity
gptkb:Von_Neumann_universe gptkb:Cumulative_type_theory |
| gptkbp:symbol |
V
|
| gptkbp:unionOfLevels |
V
|
| gptkbp:usedIn |
gptkb:Axiomatic_set_theory
|
| gptkbp:bfsParent |
gptkb:Axiom_of_Replacement
|
| gptkbp:bfsLayer |
5
|