Axiom schema of unrestricted comprehension
GPTKB entity
Statements (13)
Predicate | Object |
---|---|
gptkbp:instanceOf |
axiom schema
|
gptkbp:alsoKnownAs |
axiom schema of naive set theory
|
gptkbp:category |
gptkb:set_theory
|
gptkbp:cause |
gptkb:Russell's_paradox
|
gptkbp:formedBy |
gptkb:Georg_Cantor
|
https://www.w3.org/2000/01/rdf-schema#label |
Axiom schema of unrestricted comprehension
|
gptkbp:rejectedIn |
gptkb:Zermelo-Fraenkel_set_theory
|
gptkbp:replacedBy |
gptkb:axiom_schema_of_separation
|
gptkbp:state |
for any property P(x), there exists a set of all x such that P(x) holds
|
gptkbp:type |
inconsistent in first-order logic
|
gptkbp:usedIn |
gptkb:naive_set_theory
|
gptkbp:bfsParent |
gptkb:Axiom_of_Specification
|
gptkbp:bfsLayer |
8
|