Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
gptkb:axiom_of_regularity
|
| gptkbp:contrastsWith |
non-well-founded set theory
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
gptkb:Abraham_Fraenkel |
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of foundation
|
| gptkbp:introducedIn |
gptkb:Zermelo–Fraenkel_set_theory
1922 |
| gptkbp:partOf |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:prevention |
infinite descending membership chains
sets containing themselves |
| gptkbp:state |
every non-empty set A contains an element that is disjoint from A
|
| gptkbp:usedIn |
standard set theory
|
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_set_theory_with_the_axiom_of_choice
gptkb:Zermelo–Fraenkel_set_theory_with_Choice_(ZFC) gptkb:Zermelo–Fraenkel_set_theory_with_the_Axiom_of_Choice gptkb:Zermelo–Fraenkel_set_theory_with_choice gptkb:axiom_of_regularity |
| gptkbp:bfsLayer |
7
|