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This is the text of a talk given at the Robert and Sarah Boote Conference
in Reductionism and Anti-Reductionism in Physics, 22-23 April, 2006, Center for Philosophy of Science University of Pit...
It doubtless gives comfort to some philosophers to know that a number is "the set of all sets that are similar to a given set". But for those who use and teach mathematics at any level but the most et...