more from Keith Hossack

Single Idea 10687

[catalogued under 4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory]

Full Idea

We might reduce sets to ordinal numbers, thereby reversing the standard set-theoretical reduction of ordinals to sets.

Gist of Idea

Maybe we reduce sets to ordinals, rather than the other way round


Keith Hossack (Plurals and Complexes [2000], 10)

Book Reference

-: 'British Soc for the Philosophy of Science' [-], p.436

A Reaction

He has demonstrated that there are as many ordinals as there are sets.

Related Idea

Idea 9906 If ordinal numbers are 'reducible to' some set-theory, then which is which? [Benacerraf]