axiom of union

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axiom of union

set theory

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set theory

In set theory: Axioms for compounding sets
…in the table—axiom of pairing, axiom of union, and axiom of power set—are of this sort.
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Zermelo-Fraenkel set theory

In history of logic: Zermelo-Fraenkel set theory (ZF)
Union axiom. If S is a set (of sets), then there is a set containing all and only the members of the sets contained in S. Axiom of choice. If S is a nonempty set containing sets no two of which have common members, then…
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