class comprehension axiom

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:Titan
gptkbp:alsoKnownAs axiom schema of comprehension
axiom schema of class comprehension
gptkbp:contrastsWith set comprehension axiom
gptkbp:describes the existence of classes defined by properties
gptkbp:field gptkb:set_theory
https://www.w3.org/2000/01/rdf-schema#label class comprehension axiom
gptkbp:prevention gptkb:Russell's_paradox
gptkbp:relatedTo gptkb:axiom_schema_of_separation
gptkbp:state for any property, there is a class of all sets satisfying that property
gptkbp:usedIn gptkb:von_Neumann–Bernays–Gödel_set_theory
gptkb:Morse–Kelley_set_theory
gptkbp:bfsParent gptkb:Axiom_of_Class_Comprehension
gptkbp:bfsLayer 6