How real are real numbers? (2004)

We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871-1956).
86 points by surprisetalk 86 days ago arxiv.org 64 comments

Summary

The article presents a discussion on the debate between continuity and discreteness in mathematics and physics, highlighting the contributions of Emile Borel. It offers insights into foundational questions about the nature of real numbers and their implications in these fields.

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