Timeline for Consequences of lack of rigour [closed]
Current License: CC BY-SA 4.0
26 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2019 at 3:05 | review | Reopen votes | |||
| Mar 10, 2019 at 13:30 | |||||
| Mar 1, 2019 at 1:15 | review | Reopen votes | |||
| Mar 1, 2019 at 18:52 | |||||
| Mar 1, 2019 at 1:13 | history | closed |
Joseph Van Name Alexandre Eremenko Piotr Hajlasz abx user1073 |
Not suitable for this site | |
| Feb 28, 2019 at 16:04 | history | became hot network question | |||
| Feb 28, 2019 at 14:06 | comment | added | John Coleman | Perhaps some statistical applications of the Central Limit Theorem to heavy-tailed distributions might fall into this category. | |
| Feb 28, 2019 at 11:45 | answer | added | Wrzlprmft | timeline score: 5 | |
| Feb 28, 2019 at 10:53 | comment | added | YCor | @erz I still think this 1 should be in a separate question. | |
| Feb 28, 2019 at 9:12 | answer | added | Christopher King | timeline score: 4 | |
| Feb 28, 2019 at 3:38 | comment | added | erz | @YCor In 1 I am looking for not any wrong theorem, but a theorem which is wrong for reasons not understood by mathematicians of the time. There is still a lot of them I guess, but I am not sure how many then went through 2-4. | |
| Feb 28, 2019 at 2:52 | comment | added | Jim Conant | @YCor, I believe the OP wants all 4 criteria to hold, so most wrong theorems wouldn't apply. | |
| Feb 27, 2019 at 23:17 | answer | added | Nawaf Bou-Rabee | timeline score: 39 | |
| Feb 27, 2019 at 23:13 | comment | added | alephzero | " For example, has any bridge fallen because every continuous function was thought to be differentiable except on a set of isolated points?" - “Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance, and that whether say, an airplane would or would not fly could depend on this difference? If such were claimed, I should not care to fly in that plane.” - Richard W. Hamming. | |
| Feb 27, 2019 at 21:49 | comment | added | Qfwfq | @J.J.Green: Italian differential geometry? Maybe you actually meant the Italian school of algebraic geometry in the first half of the 20th century? (en.wikipedia.org/wiki/Italian_school_of_algebraic_geometry) | |
| Feb 27, 2019 at 20:57 | comment | added | Gerry Myerson | mathoverflow.net/questions/37610/… is related. Also, math.stackexchange.com/questions/139456/importance-of-rigor | |
| Feb 27, 2019 at 15:04 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Feb 27, 2019 at 14:14 | comment | added | YCor | I guess that for "1. Lack of rigour led to a wrong statement (by "today's standard") in pure mathematics", any wrong result may qualify. Hopefully we won't get a list of all wrong theorems published in pure math. Actually, 1 and 2/3/4 are a bit separate questions, each quite broad, and maybe removing 1 (and maybe re-ask it later, being a bit more specific) would make the question more focussed and better. | |
| Feb 27, 2019 at 14:03 | answer | added | Francesco Polizzi | timeline score: 51 | |
| Feb 27, 2019 at 13:09 | history | edited | erz | CC BY-SA 4.0 |
clarification
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| Feb 27, 2019 at 12:27 | comment | added | Amir Asghari | @YCor See mathoverflow.net/q/127889/29316 for some examples of "many opposite extreme points of view" :) | |
| Feb 27, 2019 at 12:20 | review | Close votes | |||
| Feb 28, 2019 at 0:00 | |||||
| Feb 27, 2019 at 12:08 | comment | added | YCor | The standards of rigor have not just increased. They have evolved. They are different according to subfields, countries, communities, education and personal taste. They might have been consider to "decrease" at some point, or to become fussy and cumbersome at other points. There are many opposite extreme points of view about this. | |
| Feb 27, 2019 at 12:08 | comment | added | KConrad | You might find the answers at math.stackexchange.com/questions/1220875/… to be of interest. | |
| Feb 27, 2019 at 12:04 | comment | added | YCor | Are you asking about "applications" outside math, or applications within maths? | |
| Feb 27, 2019 at 12:02 | comment | added | J.J. Green | @KConrad: Italian differential geometry is an example of the latter :-) | |
| Feb 27, 2019 at 11:54 | comment | added | KConrad | Structures have fallen apart because of inadequate attention to numerical analysis (see www-users.math.umn.edu/~arnold//disasters), but not because of exotica in pure math. | |
| Feb 27, 2019 at 11:36 | history | asked | erz | CC BY-SA 4.0 |