Timeline for An example of a proof that is explanatory but not beautiful? (or vice versa)
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| Aug 3, 2013 at 3:07 | comment | added | Andrés E. Caicedo | @EricWofsey And that may well be the intention of the author of the exercises, I agree. All I am saying, when I think about them, when I discuss such results in lecture, etc, I personally do not think of them this way. | |
| Aug 3, 2013 at 2:56 | comment | added | Eric Wofsey | @AndresCaicedo: I would disagree. For me, the point of the exercises is to demonstrate the power of elementary group theory (in particular, the Sylow theorems) to answer a wide variety of such questions. Of course, the ad hoc nature of the arguments may inspire one to want to develop a more systematic and general theory, but the basic tools are a powerful starting point. | |
| Jul 26, 2013 at 16:02 | comment | added | Andrés E. Caicedo | I've always thought the point of some of these exercises is precisely to emphasize how ad hoc they are, so one understands why the elaborate theory that leads to classification would be desirable. | |
| S Jul 26, 2013 at 9:43 | history | answered | Pete L. Clark | CC BY-SA 3.0 | |
| S Jul 26, 2013 at 9:43 | history | made wiki | Post Made Community Wiki by Pete L. Clark |