Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
gptkb:axiom_of_foundation
|
| gptkbp:compatibleWith |
non-well-founded set theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of regularity
|
| gptkbp:introduced |
gptkb:John_von_Neumann
|
| gptkbp:introducedIn |
1920s
|
| gptkbp:partOf |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:prevention |
infinite descending membership chains
sets being members of themselves |
| gptkbp:state |
every non-empty set A contains an element that is disjoint from A
|
| gptkbp:symbol |
∀A [A ≠ ∅ → ∃B (B ∈ A ∧ B ∩ A = ∅)]
|
| gptkbp:usedIn |
standard set theory
|
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_axioms
|
| gptkbp:bfsLayer |
6
|