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Single Idea 10876

[from 'Infinity: Quest to Think the Unthinkable' by Brian Clegg, in 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III ]

Full Idea

Axiom of Unions: For every collection of sets there exists a set that contains all the elements that belong to at least one of the sets in the collection.

Gist of Idea

Unions: There is a set of all the elements which belong to at least one set in a collection

Source

Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)

Book Reference

Clegg,Brian: 'Infinity' [Robinson 2003], p.206