Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
axiom schema
|
| gptkbp:alsoKnownAs |
gptkb:axiom_schema_of_restricted_comprehension
axiom schema of subset |
| gptkbp:category |
gptkb:set_theory
|
| gptkbp:expressedIn |
gptkb:first-order_logic
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom schema of separation
|
| gptkbp:numberOfAxioms |
infinite
|
| gptkbp:prevention |
gptkb:Russell's_paradox
|
| gptkbp:purpose |
restrict set formation to avoid paradoxes
|
| gptkbp:relatedTo |
gptkb:axiom_of_specification
gptkb:axiom_of_power_set axiom of replacement |
| gptkbp:replacedBy |
axiom schema of unrestricted comprehension
|
| gptkbp:state |
For any set and any property, there is a subset of the set containing exactly those elements that satisfy the property
|
| gptkbp:usedIn |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Zermelo_set_theory |
| gptkbp:bfsParent |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:bfsLayer |
5
|