Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
set theory principle |
| gptkbp:alsoKnownAs |
gptkb:axiom_of_separation
subset axiom |
| gptkbp:category |
axiom schema
|
| gptkbp:describes |
Given any set and any property, there is a subset containing exactly those elements of the set that satisfy the property.
|
| gptkbp:field |
gptkb:mathematics
gptkb:set_theory |
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
1908 |
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of specification
|
| gptkbp:implies |
subsets can be defined by properties
|
| gptkbp:partOf |
gptkb:Zermelo–Fraenkel_axioms
|
| gptkbp:prevention |
formation of sets by unrestricted comprehension
|
| gptkbp:purpose |
to avoid Russell's paradox
|
| gptkbp:relatedTo |
gptkb:Russell's_paradox
axiom schema of comprehension |
| gptkbp:statedIn |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:bfsParent |
gptkb:Menge
|
| gptkbp:bfsLayer |
5
|