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One can construct the reals from the rationals quite easily using any of several well-known methods, such as equivalence classes of Cauchy sequences, or Dedikind cuts.
So you are saying that the Reals are a subset (ie can be constructed from) of the Rationals? I can create a number which is not representable by the ratio of two integers from two numbers which are representable by ratios of two integers? That's a nifty trick indeed, I am really impressed. Cauchy produced a test for testing convergence. I fail to see the relevance here, but please expound... Dedekind Cut: "Thus a nested sequence of rational intervals give rise to a seperation of all rational numbers into three classes." Just exactly where does this allow us to create Reals? Jim Choate CyberTects ravage@ssz.com