Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
set-theoretic universe
|
| gptkbp:alsoKnownAs |
V
|
| gptkbp:basisFor |
cumulative hierarchy
|
| gptkbp:builtBy |
transfinite recursion
|
| gptkbp:contains |
all pure sets
hereditarily well-founded sets |
| gptkbp:containsElement |
no set
|
| gptkbp:describedBy |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:firstDefined |
1920s
|
| gptkbp:heldBy |
proper class, not a set
|
| https://www.w3.org/2000/01/rdf-schema#label |
von Neumann universe
|
| gptkbp:isClass |
proper class
|
| gptkbp:level |
V_alpha
|
| gptkbp:namedAfter |
gptkb:John_von_Neumann
|
| gptkbp:relatedTo |
gptkb:constructible_universe
gptkb:Grothendieck_universe |
| gptkbp:unionOf |
V_alpha for all ordinals alpha
|
| gptkbp:usedFor |
modeling set theory
|
| gptkbp:usedIn |
gptkb:set_theory
|
| gptkbp:bfsParent |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:bfsLayer |
5
|