**The Foundations of Analysis**

by Larry Clifton

**Publisher**: arXiv 2013**Number of pages**: 48

**Description**:

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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