Single Idea 17758

[catalogued under 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers]

Full Idea

An ordinal can be defined as a transitive set of transitive sets, or else, as a transitive set totally ordered by set inclusion.

Gist of Idea

Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion

Source

Michal Walicki (Introduction to Mathematical Logic [2012], 2.3)

Book Reference

Walicki,Michal: 'Introduction to Mathematical Logic' [World Scientific 2012], p.89