Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
axiom schema
|
| gptkbp:alsoKnownAs |
gptkb:axiom_schema_of_restricted_comprehension
axiom schema of subset |
| gptkbp:expressedIn |
gptkb:first-order_logic
|
| gptkbp:formalizes |
subset formation based on properties
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom schema of separation
|
| gptkbp:introduced |
gptkb:Ernst_Zermelo
|
| gptkbp:introducedIn |
1908
|
| gptkbp:purpose |
avoids Russell's paradox
|
| gptkbp:relatedTo |
gptkb:axiom_schema_of_replacement
gptkb:axiom_of_specification |
| 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:ZFC gptkb:Zermelo_set_theory |
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_axioms
gptkb:Axiom_of_Class_Comprehension gptkb:Axiom_schema_of_replacement gptkb:Axiom_schema_of_specification |
| gptkbp:bfsLayer |
6
|