union axiom

noun

The axiom stating that for every set of sets A, there exists a set C whose elements are all and only the elements of at least one B ∈ A.

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Meanings

noununion axiom (plural union axioms)

plural union axioms

  1. mathematicsThe axiom stating that for every set of sets A, there exists a set C whose elements are all and only the elements of at least one B ∈ A.

    For every set T there corresponds a set ∪T which consists of all the elements of the elements of T.

    1908, Ernst Zermelo, Investigations in the Foundations of Set Theory I
Cite this entry
APA

union axiom. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/union%20axiom

MLA

“union axiom.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/union%20axiom. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “union axiom,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/union%20axiom.

Source: union axiom on Wiktionary, CC BY-SA 4.0.