Combining Philosophers

Ideas for Hermarchus, Barry Smith and JP Burgess / G Rosen

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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets

9933	The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
	Full Idea: The paradoxes only seem to arise in connection with Frege's logical notion of extension or class, not Cantor's mathematical notion of set. Cantor never assumed that every condition determines a set.
	From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b)
	A reaction: This makes the whole issue a parochial episode in the history of philosophy, not a central question. Cantor favoured some sort of abstractionism (see Kit Fine on the subject).