Timeline for A historical mystery : Poincaré’s silence on Lebesgue integral and measure theory?
Current License: CC BY-SA 4.0
29 events
| when toggle format | what | by | license | comment | |
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| Apr 7, 2021 at 18:55 | review | Close votes | |||
| Apr 7, 2021 at 21:32 | |||||
| Nov 20, 2019 at 10:06 | vote | accept | Fabrice Pautot | ||
| Nov 12, 2019 at 6:13 | history | edited | ThiKu | CC BY-SA 4.0 |
edited title
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| Nov 9, 2019 at 1:05 | vote | accept | Fabrice Pautot | ||
| Nov 9, 2019 at 1:06 | |||||
| Nov 9, 2019 at 1:05 | vote | accept | Fabrice Pautot | ||
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| Nov 9, 2019 at 1:02 | vote | accept | Fabrice Pautot | ||
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| Nov 8, 2019 at 23:21 | vote | accept | Fabrice Pautot | ||
| Nov 9, 2019 at 1:02 | |||||
| Nov 8, 2019 at 23:20 | vote | accept | Fabrice Pautot | ||
| Nov 8, 2019 at 23:21 | |||||
| Nov 8, 2019 at 23:18 | vote | accept | Fabrice Pautot | ||
| Nov 8, 2019 at 23:20 | |||||
| Nov 7, 2019 at 19:57 | comment | added | AlexArvanitakis | this and the answers were a good read! | |
| Nov 7, 2019 at 6:26 | comment | added | Fabrice Pautot | @user347489 I'm gonna answer my own question because I actually deduce that Poincaré the physicist could not welcome the Lebesgue integral and measure theory so that it is not surprising to see that he never said anything about them. More precisely, I believe Poincaré could have said something like this: "Measure theory disqualifies the Lebesgue integral."....................................... | |
| Nov 7, 2019 at 1:51 | comment | added | user347489 | It seems to me that we can only speculate to answer the question. I, on the contrary, think that there's nothing unusual in what you describe. Even nowadays not all the big names working in a field talk actively to each other. | |
| Nov 6, 2019 at 19:11 | answer | added | ThiKu | timeline score: 22 | |
| Nov 6, 2019 at 8:49 | comment | added | Fabrice Pautot | @YCor That's my own option, see my comment below to Alexandre Eremenko. I fear I even guess his reaction. Please see my post mathoverflow.net/questions/339918/… ... that you voted for deletion! Physical continuum vs mathematical continuum, potential infinity vs actual infinity, Lebesgue vs Henstock-Kurzweil integrals, Kolmogorov vs Henstock probability theories are the keys. | |
| Nov 5, 2019 at 22:18 | history | edited | user44143 | CC BY-SA 4.0 |
Smoothed English, removed word “apology” since there is no need to apologize for historical questions
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| Nov 5, 2019 at 21:49 | comment | added | R W | @aginensky misurabile :) | |
| Nov 5, 2019 at 21:45 | comment | added | meh | @ Polizzi "first non-Lebesgue-misurable set" do you mean miserable or measurable ? :) | |
| Nov 5, 2019 at 21:10 | review | Close votes | |||
| Nov 11, 2019 at 3:05 | |||||
| Nov 5, 2019 at 20:25 | answer | added | R W | timeline score: 36 | |
| Nov 5, 2019 at 19:24 | answer | added | Alexandre Eremenko | timeline score: 23 | |
| Nov 5, 2019 at 15:19 | comment | added | YCor | For comparison it might be useful to know whether Poincaré reacted to other developments he might have been concerned with, e.g. Lie groups. BTW one option is that he reacted in some way but there is no known written trace of it. | |
| Nov 5, 2019 at 14:22 | history | became hot network question | |||
| Nov 5, 2019 at 9:24 | answer | added | Carlo Beenakker | timeline score: 12 | |
| Nov 5, 2019 at 9:04 | history | edited | Fabrice Pautot |
"soft question" tag added
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| Nov 5, 2019 at 8:50 | history | edited | Fabrice Pautot | CC BY-SA 4.0 |
"full power" added
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| Nov 5, 2019 at 8:47 | comment | added | Fabrice Pautot | @FrancescoPolizzi Thanks. Yes, Poincaré was quite busy :) but not a single statement between 1904 and 1912 at least about such important works is really hard to understand, precisely because when Poincaré is not happy (e.g. Cantor set theory), he's not reluctant to tell it. Moreover, see e.g. p. 260, Lebesgue to Borel, 1910: "I met Poincaré only to talk about Drach.". It seems like Lebesgue even never discussed his works privately with Poincaré! Same for Borel, apparently. Crazy story. | |
| Nov 5, 2019 at 6:39 | comment | added | Francesco Polizzi | As an aside, the first non-Lebesgue-misurable set (Vitali example) was constructed in 1905. I do not know any reaction of Poincaré to this, but I bet he was not happy, given his aversion to the Axiom of Choice. | |
| Nov 5, 2019 at 6:33 | comment | added | Francesco Polizzi | Well, at that time Poincaré was working on many subjects different from integration theory (relativity, analysis situs, dynamical systems, math foundations), so maybe he did not have the time to write extensively about Lebesgue's new theory. | |
| Nov 5, 2019 at 6:12 | history | asked | Fabrice Pautot | CC BY-SA 4.0 |