axiom schema of specification
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
axiom schema
|
| gptkbp:alsoKnownAs |
gptkb:axiom_schema_of_separation
subset axiom schema |
| gptkbp:category |
gptkb:set_theory
|
| gptkbp:expressedIn |
gptkb:first-order_logic
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
1908 |
| https://www.w3.org/2000/01/rdf-schema#label |
axiom schema of specification
|
| gptkbp:purpose |
restricts set formation to avoid Russell's paradox
|
| gptkbp:replacedBy |
gptkb:unrestricted_comprehension_axiom
|
| 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
|
| gptkbp:bfsParent |
gptkb:ZFC
|
| gptkbp:bfsLayer |
6
|