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arXiv · 1303.6576

The Foundations of Analysis

Larry Clifton
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Abstract

This is a detailed and self-contained introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios as presented in Book V of Euclid, and then use these classical results to define the positive real numbers categorically.

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Larry Clifton. 2013-03-26. The Foundations of Analysis. https://arxiv.org/abs/1303.6576

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