How real are real numbers?
2004/11/18 by G. J. Chaitin, Gregory J. Chaitin, Chaitin, G. J. · 12 voices
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #History and Theory of Mathematics #Mathematical and Theoretical Analysis #math.HO #msc:68Q30
paper · pdf · doi:10.48550/arxiv.math/0411418
14 pages, minor improvements
openalex publication_date 2004/11/18 · arxiv created 2004/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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).
Citations
Discussions
- How real are real numbers? (2004) [hn, 218 points, 265 comments]
- How real are real numbers? (2004) [hn, 96 points, 102 comments]
- How real are real numbers? (2004) [hn, 81 points, 112 comments]
- How real are real numbers? [hn, 3 points, 0 comments]
- How real are real numbers? (2004) [hn, 3 points, 0 comments]
- How real are real numbers? (2004) [pdf] [hn, 2 points, 1 comments]
- How real are real numbers? (2004) [hn, 2 points, 0 comments]
- How real are real numbers? (2004) https://arxiv.org/abs/math/0411418 [bsky, 0 points, 0 comments]
- How real are real numbers? (2004) https://arxiv.org/abs/math/0411418 [comments] [56 points] [bsky, 0 points, 0 comments]
- How real are real numbers? (2004) https:// arxiv.org/abs/math/0411418 # arxiv [mastodon, 0 points, 0 comments]
- How real are real numbers? (2004) https://arxiv.org/abs/math/0411418 (https://news.ycombinator.com/item?id=49071190) [bsky, 0 points, 0 comments]
- How real are real numbers? (2004) https://arxiv.org/abs/math/0411418 (https://news.ycombinator.com/item?id=49071190) [bsky, 0 points, 0 comments]
Related