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9127 | Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen] |
Full Idea: Russell refuted Frege's principle that there is a set for each property. | |
From: report of Bertrand Russell (Letters to Frege [1902], 1904.12.12) by Roy Sorensen - Vagueness and Contradiction 6.1 | |
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. |