axiom schema of restricted comprehension
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
axiom schema
|
| gptkbp:alsoKnownAs |
gptkb:axiom_schema_of_separation
|
| gptkbp:contrastsWith |
axiom schema of unrestricted comprehension
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom schema of restricted comprehension
|
| gptkbp:introducedIn |
1908
|
| gptkbp:purpose |
avoids Russell's paradox
|
| gptkbp:state |
for any set A and property P, there exists a subset of A containing exactly those elements of A that satisfy P
|
| gptkbp:usedIn |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Zermelo_set_theory |
| gptkbp:bfsParent |
gptkb:Axiom_schema_of_separation
gptkb:Axiom_schema_of_specification |
| gptkbp:bfsLayer |
6
|