Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
gptkb:axiom_schema_of_specification
subset axiom |
| gptkbp:domain |
gptkb:logic
gptkb:set_theory |
| gptkbp:expressedIn |
∀A ∀φ ∃B ∀x (x ∈ B ↔ x ∈ A ∧ φ(x))
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of separation
|
| gptkbp:introducedIn |
1908
|
| gptkbp:prevention |
gptkb:Russell's_paradox
|
| gptkbp:relatedTo |
gptkb:axiom_of_pairing
axiom of replacement |
| gptkbp:replacedBy |
axiom of unrestricted comprehension
|
| gptkbp:state |
For any set and any property, there is a subset containing exactly those elements of the set that satisfy the property.
|
| gptkbp:usedIn |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:bfsParent |
gptkb:Axiom_of_specification
gptkb:Axiom_schema_of_replacement |
| gptkbp:bfsLayer |
6
|