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### Single Idea 15933

#### [catalogued under 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size]

Full Idea

Limitation of Size has it that if a collection is the same size as a set, then it is a set. The Axiom of Replacement is characteristic of limitation of size.

Gist of Idea

Limitation of Size: if it's the same size as a set, it's a set; it uses Replacement

Source

Shaughan Lavine (Understanding the Infinite [1994], V.5)

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.150