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Apr 2, 2014 at 20:28 comment added Greg Martin I like a lot of things about this answer! The one statement I disagree with is "we can never quite construct the real numbers". Dedekind cuts and equivalence classes of Cauchy sequences are two ways to construct the real numbers (more precisely, an ordered field that satisfies all the properties we want the real numbers to satisfy) from the rational numbers, which are themselves constructed from the integers. Of course this construction is pretty far from fingers and toes, I concede!
Oct 21, 2009 at 6:58 vote accept diab
Oct 21, 2009 at 6:58
Oct 21, 2009 at 3:14 history answered Jason E CC BY-SA 2.5