more from Keith Hossack

Single Idea 23623

[catalogued under 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Na´ve logical sets]

Full Idea

Predicativists doubt the existence of sets with no predicative definition.

Gist of Idea

Predicativism says only predicated sets exist

Source

Keith Hossack (Knowledge and the Philosophy of Number [2020], 02.3)

Book Reference

Hossack, Keith: 'Knowledge and the Philosophy of Number' [Routledge 2021], p.26


A Reaction

This would imply that sets which encounter paradoxes when they try to be predicative do not therefore exist. Surely you can have a set of random objects which don't fall under a single predicate?