Timeline for What practical applications does set theory have?
Current License: CC BY-SA 4.0
34 events
| when toggle format | what | by | license | comment | |
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| Aug 5, 2021 at 7:23 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added a Wayback Machine link for the dead link
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| Aug 1, 2021 at 19:10 | comment | added | Joseph Van Name | I have turned the Laver tables (the $8\times 8$ Laver table $A_{3}$) into music. It sounds well in the Phrygian, Ionian (major), and Dorian modes because in those modes, two notes $x,y$ differ by the perfect fifth if and only if $x\neq y,\phi(x)=\phi(y)$ where $\phi:A_{3}\rightarrow A_{2}$ is the homomorphism that maps the generator of $A_{3}$ to the generator of $A_{2}$. | |
| Aug 1, 2021 at 10:04 | review | Close votes | |||
| Aug 3, 2021 at 4:24 | |||||
| May 11, 2021 at 5:05 | review | Close votes | |||
| May 11, 2021 at 18:04 | |||||
| Mar 9, 2021 at 0:31 | history | edited | Rodrigo de Azevedo |
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| Apr 11, 2019 at 14:23 | comment | added | Joseph Van Name | I am voting to close. | |
| Apr 11, 2019 at 13:05 | review | Close votes | |||
| Apr 11, 2019 at 14:37 | |||||
| Aug 28, 2017 at 2:47 | answer | added | Joseph Van Name | timeline score: 6 | |
| May 9, 2017 at 2:52 | comment | added | Joseph Van Name | I am attempting to apply very large cardinals to public key cryptography, but since these developments are in their rudimentary stages, it is hard to say how well these cryptosystems will fare (and hence I give a comment here instead of an answer). | |
| May 9, 2017 at 2:50 | comment | added | Joseph Van Name | I have noticed that in the answers by "real-world applications", people usually just mean applications of set theory to other areas of mathematics instead of applications of set theory to real life. Furthermore, in the answers, by "set theory" they are mainly just talking about the pre-Cohen development of set theory. Are there any applications of current set theory topics such as inner model theory, large cardinals, and forcing to the real world? | |
| May 8, 2017 at 18:23 | answer | added | Terry Tao | timeline score: 40 | |
| May 8, 2017 at 13:11 | history | edited | Todd Trimble | CC BY-SA 3.0 |
fixed some grammar
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| May 8, 2017 at 12:58 | history | edited | Qfwfq | CC BY-SA 3.0 |
added 1 character in body
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| May 8, 2017 at 12:48 | history | edited | Gerry Myerson |
edited tags
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| May 20, 2014 at 5:58 | review | Close votes | |||
| May 20, 2014 at 10:43 | |||||
| Dec 3, 2013 at 22:09 | history | protected | Kim Morrison | ||
| Nov 30, 2013 at 23:53 | comment | added | Sasho Nikolov | "Alien" mathematical constructions like the complex numbers are often very useful in understanding "down to earth" things like real polynomials. The fundamental theorem of algebra is more than enough payoff for introducing complex numbers, and in general looking at how a function acts on the complex plane can be the simplest way to understand what it does to the real line. Similarly, arguments about infinite sets are often easier than analogous finitary arguments and can provide at least intuition, if not a solution. | |
| Nov 30, 2013 at 20:57 | answer | added | Patrick I-Z | timeline score: 2 | |
| Feb 15, 2011 at 15:34 | answer | added | Dan Piponi | timeline score: 21 | |
| May 5, 2010 at 13:17 | comment | added | Gerald Edgar | @José: No, the use of complex numbers in connection with electricity is not for solving polynomial equations, but for modeling frequency using $e^{i a t}$. | |
| May 5, 2010 at 12:37 | answer | added | ogerard | timeline score: 1 | |
| Jan 8, 2010 at 3:24 | vote | accept | user2929 | ||
| Jan 2, 2010 at 0:58 | answer | added | Andrej Bauer | timeline score: 49 | |
| Jan 1, 2010 at 19:42 | answer | added | Noah Snyder | timeline score: 12 | |
| Jan 1, 2010 at 16:49 | comment | added | José Figueroa-O'Farrill | The square of -1 was introduced in order to find solutions to real polynomial equations -- not in the obvious sense: e.g., in order to solve, say, $x^2 +1 = 0$, but in order to find real solutions via general formulae for cubic and quartic equations. So whereas it is possible (though perhaps more cumbersome) to solve RLC circuit equations without using the imaginary unit, applying Tartaglia's formula for the solution of a cubic equation, you will have to deal with the square root of negative numbers as an intermediate part of the calculation. | |
| Jan 1, 2010 at 8:42 | answer | added | Zach Conn | timeline score: 5 | |
| Jan 1, 2010 at 4:47 | answer | added | Rune | timeline score: 5 | |
| Jan 1, 2010 at 1:49 | answer | added | S. Donovan | timeline score: 16 | |
| Jan 1, 2010 at 1:49 | answer | added | Jason Dyer | timeline score: 7 | |
| Jan 1, 2010 at 1:18 | history | edited | user2929 | CC BY-SA 2.5 |
added a better explanation
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| Jan 1, 2010 at 0:43 | comment | added | Qiaochu Yuan | I think it's fine; this is a perfectly reasonable question for an outsider to have and there are many set theorists around who can give you good answers. | |
| Jan 1, 2010 at 0:42 | comment | added | user2929 | Is this question outside the domain of inquiry for mathoverflow? | |
| Jan 1, 2010 at 0:41 | answer | added | Qiaochu Yuan | timeline score: 61 | |
| Jan 1, 2010 at 0:34 | history | asked | user2929 | CC BY-SA 2.5 |