Single Idea 9127

[catalogued under 8. Modes of Existence / B. Properties / 11. Properties as Sets]

Full Idea

Russell refuted Frege's principle that there is a set for each property.

Gist of Idea

Russell refuted Frege's principle that there is a set for each property

Source

report of Bertrand Russell (Letters to Frege [1902], 1904.12.12) by Roy Sorensen - Vagueness and Contradiction 6.1

Book Reference

Sorensen,Roy: 'Vagueness and Contradiction' [OUP 2004], p.97


A Reaction

This is the principle stumbling block to any attempt to explain properties purely in terms of sets. I would say that Russell proved there couldn't be a set for each predicate. You can't glibly equate proper properties with predicates.