more from Shaughan Lavine

### Single Idea 15913

#### [catalogued under 4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets]

Full Idea

A collection M is 'well-ordered' by a relation < if < linearly orders M with a least element, and every subset of M that has an upper bound not in it has an immediate successor.

Gist of Idea

A collection is 'well-ordered' if there is a least element, and all of its successors can be identified

Source

Shaughan Lavine (Understanding the Infinite [1994], III.4)

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.53