Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
Set theory concept |
| gptkbp:alsoKnownAs |
gptkb:Axiom_schema_of_specification
|
| gptkbp:cause |
gptkb:Russell's_paradox
|
| gptkbp:consequence |
Set-theoretic paradoxes
|
| gptkbp:defines |
For any property, there is a set of all things satisfying that property
|
| gptkbp:describes |
The existence of sets defined by a property
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Set_theory |
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
gptkb:Georg_Cantor |
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of comprehension
|
| gptkbp:reformed |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:relatedTo |
gptkb:Russell's_paradox
gptkb:Axiom_schema_of_replacement gptkb:Axiom_schema_of_separation |
| gptkbp:replacedBy |
gptkb:Axiom_schema_of_separation
|
| gptkbp:statedIn |
gptkb:Naive_set_theory
|
| gptkbp:status |
Abandoned in modern set theory
|
| gptkbp:type |
Allows the construction of paradoxical sets
|
| gptkbp:bfsParent |
gptkb:Comprehension_principle
|
| gptkbp:bfsLayer |
8
|