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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 Ref
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.
| 13365 | Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell] |
| 10711 | Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell] |
| 9127 | Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen] |
| 7531 | We don't assert private thoughts; the objects are part of what we assert [Russell] |