143 lines
4.2 KiB
Markdown
143 lines
4.2 KiB
Markdown
---
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created_at: '2017-04-10T16:40:09.000Z'
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title: How real are real numbers? (2004)
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url: https://arxiv.org/abs/math/0411418
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author: caustic
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points: 218
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story_text:
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comment_text:
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num_comments: 266
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story_id:
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story_title:
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story_url:
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parent_id:
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created_at_i: 1491842409
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_tags:
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- story
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- author_caustic
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- story_14080024
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objectID: '14080024'
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year: 2004
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---
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[Source](https://arxiv.org/abs/math/0411418 "Permalink to [math/0411418] How real are real numbers?")
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# [math/0411418] How real are real numbers?
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![][1]
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![Cornell University][2]
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[Cornell University][3] [Library][4]
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[We gratefully acknowledge support from
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the Simons Foundation
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and member institutions][5]
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# [arXiv.org][6] > [math][7] > arXiv:math/0411418
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All papers Titles Authors Abstracts Full text Help pages
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([Help][8] | [Advanced search][9])
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Full-text links:
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## Download:
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* [PDF][10]
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* [PostScript][11]
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* [Other formats][12]
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([license][13])
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### Current browse context:
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math
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< [prev][14] | [next >][15]
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[new][16] | [recent][7] | [0411][17]
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### References & Citations
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* [NASA ADS][18]
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### Bookmark
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([what is this?][19])
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![CiteULike logo][20] ![BibSonomy logo][21] ![Mendeley logo][22] ![del.icio.us logo][23] ![Digg logo][24] ![Reddit logo][25] ![ScienceWISE logo][26]
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# Mathematics > History and Overview
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# Title: How real are real numbers?
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Authors: [G. J. Chaitin][27] (IBM Research)
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(Submitted on 18 Nov 2004 ([v1][28]), last revised 29 Nov 2004 (this version, v3))
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> 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).
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| ----- |
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| Comments: | 14 pages, minor improvements |
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| Subjects: | History and Overview (math.HO) |
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| MSC classes: | 68Q30 |
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| Cite as: | [arXiv:math/0411418][29] [math.HO] |
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| | (or [arXiv:math/0411418v3][30] [math.HO] for this version) |
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## Submission history
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From: Gregory J. Chaitin [[view email][31]]
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[**[v1]][28]** Thu, 18 Nov 2004 22:35:07 GMT (11kb)
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[**[v2]][32]** Wed, 24 Nov 2004 03:15:31 GMT (11kb)
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[**v3]** Mon, 29 Nov 2004 16:41:15 GMT (11kb)
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[Which authors of this paper are endorsers?][33] | [Disable MathJax][34] ([What is MathJax?][35])
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Link back to: [arXiv][36], [form interface][37], [contact][38].
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![Twitter][39]
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[1]: //webanalytics.library.cornell.edu/piwik.php?idsite=538&rec=1
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[2]: https://arxiv.org/icons/cu/cul_signature_unstyled.gif
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[3]: http://www.cornell.edu/
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[4]: http://www.library.cornell.edu/
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[5]: https://confluence.cornell.edu/x/ALlRF
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[6]: https://arxiv.org/
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[7]: https://arxiv.org/list/math/recent
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[8]: https://arxiv.org/help
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[9]: https://arxiv.org/find
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[10]: https://arxiv.org/pdf/math/0411418
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[11]: https://arxiv.org/ps/math/0411418
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[12]: https://arxiv.org/format/math/0411418
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[13]: http://arxiv.org/licenses/assumed-1991-2003/ "Rights to this article"
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[14]: https://arxiv.org/abs/math/0411417 "previous in math (accesskey p)"
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[15]: https://arxiv.org/abs/math/0411419 "next in math (accesskey n)"
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[16]: https://arxiv.org/list/math/new
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[17]: https://arxiv.org/list/math/0411
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[18]: http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:math/0411418
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[19]: https://arxiv.org/help/social_bookmarking
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[20]: https://static.arxiv.org/icons/social/citeulike.png
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[21]: https://static.arxiv.org/icons/social/bibsonomy.png
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[22]: https://static.arxiv.org/icons/social/mendeley.png
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[23]: https://static.arxiv.org/icons/social/delicious.png
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[24]: https://static.arxiv.org/icons/social/digg.png
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[25]: https://static.arxiv.org/icons/social/reddit.png
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[26]: https://static.arxiv.org/icons/social/sciencewise.png
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[27]: https://arxiv.org/find/math/1/au:+Chaitin_G/0/1/0/all/0/1
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[28]: https://arxiv.org/abs/math/0411418v1
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[29]: https://arxiv.org/abs/math/0411418
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[30]: https://arxiv.org/abs/math/0411418v3
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[31]: https://arxiv.org/show-email/6a07c0d0/math/0411418
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[32]: https://arxiv.org/abs/math/0411418v2
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[33]: http://arxiv.org/auth/show-endorsers/math/0411418
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[34]: javascript:setMathjaxCookie%28%29()
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[35]: https://arxiv.org/help/mathjax/
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[36]: http://arxiv.org/
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[37]: https://arxiv.org/form
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[38]: https://arxiv.org/help/contact
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[39]: https://static.arxiv.org/icons/twitter_logo_blue.png "Follow arXiv on Twitter"
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[*MSC]: Mathematical Subject Classification
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