Real Analysis in Reverse

Details Real Analysis in Reverse Real Analysis in Reverse

2012-04-19

arxiv.org/abs/1204.4483v1

Mathematics

History and Overview

Pending final acceptance by the American Mathematical Monthly

Scientific paper

Many of the theorems of real analysis, against the background of the ordered
field axioms, are equivalent to Dedekind completeness, and hence can serve as
completeness axioms for the reals. In the course of demonstrating this, the
article offers a tour of some less-familiar ordered fields, provides some of
the relevant history, and considers pedagogical implications.

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