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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III

[axiom for new sets from parts]

3 ideas
13016 The Axiom of Union dates from 1899, and seems fairly obvious [Cantor, by Maddy]
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
10876 Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg]