transitive set

noun

Any set X such that for any x ∈ X, if y ∈ x then y ∈ X; equivalently, such that if x ∈ X and x is not an urelement then x ⊆ X.

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Meanings

nountransitive set (plural transitive sets)

plural transitive sets

  1. mathematicsAny set X such that for any x ∈ X, if y ∈ x then y ∈ X; equivalently, such that if x ∈ X and x is not an urelement then x ⊆ X.
Cite this entry
APA

transitive set. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/transitive%20set

MLA

“transitive set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/transitive%20set. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “transitive set,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/transitive%20set.

Source: transitive set on Wiktionary, CC BY-SA 4.0.