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Jordan DeLong scripsit: > Well, it's a little more complicated than that. Rewriting to "All > x such that x is even" has problems with russell sets, etc. That is the distinction between *talking* of sets and *quantifying over* sets. You can eliminate talk of sets, by rewriting "2 in '{x|x is even" as "Ex: x = 2 & x is even", because there is no set which is the object of quantification. "To be is to be the value of a variable." > However, sets *are* possible values of variables in Quine[1]... So > I still don't know what you mean. When doing actual set theory. Quine's point is that much talk of sets can be paraphrased away without having to actually assume the existence of sets with all their problems. -- All Gaul is divided into three parts: the part John Cowan that cooks with lard and goose fat, the part www.ccil.org/~cowan that cooks with olive oil, and the part that www.reutershealth.com cooks with butter. -- David Chessler jcowan@hidden.email