Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:alsoKnownAs |
gptkb:axiom_schema_of_specification
axiom schema of comprehension |
| gptkbp:consequence |
gptkb:Russell's_paradox
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:form |
for any property, there is a set of all things satisfying that property
|
| https://www.w3.org/2000/01/rdf-schema#label |
comprehension axiom
|
| gptkbp:prohibits |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:purpose |
to formalize the existence of sets defined by properties
|
| gptkbp:relatedTo |
gptkb:Russell's_paradox
|
| gptkbp:replacedBy |
gptkb:axiom_schema_of_separation
|
| gptkbp:restrictedForm |
gptkb:axiom_schema_of_separation
|
| gptkbp:statedIn |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Naive_set_theory |
| gptkbp:type |
leads to paradoxes in naive set theory
|
| gptkbp:unrestrictedForm |
gptkb:naive_set_theory
|
| gptkbp:bfsParent |
gptkb:New_Foundations_set_theory
|
| gptkbp:bfsLayer |
6
|