Universal (set theory)

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs universal set
gptkbp:alternativeTo gptkb:New_Foundations_(NF)_set_theory
non-well-founded set theory
gptkbp:category gptkb:set_theory
gptkbp:complement relative to the universal set
gptkbp:contradiction gptkb:Russell's_paradox
gptkbp:defines the set that contains all objects under consideration in a particular discussion or problem
gptkbp:field gptkb:set_theory
https://www.w3.org/2000/01/rdf-schema#label Universal (set theory)
gptkbp:property every set under consideration is a subset of the universal set
gptkbp:symbol U
gptkbp:topNotes in Zermelo-Fraenkel set theory, the universal set does not exist
gptkbp:usedIn gptkb:logic
gptkb:probability_theory
gptkb:Venn_diagrams
gptkbp:bfsParent gptkb:Universal
gptkbp:bfsLayer 5