Timeline for What is the most "concrete-feeling" equivalent formulation of the Continuum Hypothesis that you can think of?
Current License: CC BY-SA 4.0
21 events
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| Dec 19, 2023 at 2:26 | comment | added | user76284 | Is the obvious one not more concrete? "There's no set bigger than the natural numbers and smaller than the binary sequences." | |
| Nov 28, 2023 at 8:27 | comment | added | Jochen Glueck | "Well, all this 'looking for different sizes of infinity in terms of one-to-one mappings' stuff sounds really cool, but it's ultimately just mathematicians engaging in abstract word-logic games." This certainly describes a more positive reaction than I'd hope for. ;-) | |
| Nov 27, 2023 at 14:30 | answer | added | Arno | timeline score: 4 | |
| Nov 27, 2023 at 6:01 | history | edited | Jesse Elliott |
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| Nov 26, 2023 at 21:13 | comment | added | Julian Newman | @Carl-FredrikNybergBrodda To clarify: if you mean literally stating the definition exactly as I wrote it in the question, then of course that wouldn't go down well in popular maths - but not for reasons that are in any way comparable to whether or not a listener would dismiss the original formulation of the continuum hypothesis! The idea of partitioning a left-closed-right-open interval into left-closed-right-open subintervals appears all the time in real-life situations, and so describing versions with infinitely many subintervals - and illustrating a couple of examples - seems reasonable! | |
| Nov 26, 2023 at 19:43 | answer | added | Todd Eisworth | timeline score: 13 | |
| Nov 26, 2023 at 14:04 | comment | added | Julian Newman | @Carl-FredrikNybergBrodda Why? It’s not hard to illustrate the concept of a Generalised Zeno Paradox in a very concrete manner. | |
| Nov 26, 2023 at 5:49 | answer | added | Jesse Elliott | timeline score: 14 | |
| Nov 26, 2023 at 5:37 | answer | added | Jesse Elliott | timeline score: 11 | |
| Nov 26, 2023 at 4:23 | comment | added | Carl-Fredrik Nyberg Brodda | I think any person, in a popular context, who would dismiss the original formulation of the continuum hypothesis would flee the room before you even stated half the definition of a generalised Zeno paradox. | |
| Nov 26, 2023 at 3:29 | answer | added | bof | timeline score: 14 | |
| Nov 26, 2023 at 2:48 | comment | added | bof | Some propositions equivalent to the continuum hypothesis are discussed in Sierpiński's classic book Hypothèse du Continu. eudml.org/doc/219323#content | |
| Nov 26, 2023 at 1:10 | history | became hot network question | |||
| Nov 25, 2023 at 21:08 | answer | added | Alessandro Codenotti | timeline score: 27 | |
| Nov 25, 2023 at 21:06 | vote | accept | Julian Newman | ||
| Nov 25, 2023 at 19:49 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Nov 25, 2023 at 18:44 | answer | added | Roy Sht | timeline score: 27 | |
| Nov 25, 2023 at 18:39 | answer | added | James E Hanson | timeline score: 26 | |
| Nov 25, 2023 at 18:26 | answer | added | Burak | timeline score: 45 | |
| Nov 25, 2023 at 17:30 | answer | added | Joel David Hamkins | timeline score: 43 | |
| Nov 25, 2023 at 17:09 | history | asked | Julian Newman | CC BY-SA 4.0 |