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2017-04-10T16:40:09.000Z How real are real numbers? (2004) https://arxiv.org/abs/math/0411418 caustic 218 266 1491842409
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14080024 2004

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[math/0411418] How real are real numbers?

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Mathematics > History and Overview

Title: How real are real numbers?

Authors: G. J. Chaitin (IBM Research)

(Submitted on 18 Nov 2004 (v1), last revised 29 Nov 2004 (this version, v3))

Abstract: We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871-1956).

| ----- | | Comments: | 14 pages, minor improvements |
| Subjects: | History and Overview (math.HO) |
| MSC classes: | 68Q30 |
| Cite as: | arXiv:math/0411418 [math.HO] |
|   | (or arXiv:math/0411418v3 [math.HO] for this version) |

Submission history

From: Gregory J. Chaitin [view email]
[v1] Thu, 18 Nov 2004 22:35:07 GMT (11kb)
[v2] Wed, 24 Nov 2004 03:15:31 GMT (11kb)
[v3] Mon, 29 Nov 2004 16:41:15 GMT (11kb)

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[*MSC]: Mathematical Subject Classification