Timeline for Interesting examples of generic behavior of mathematical objects being either unreasonably structured or simply unreasonable
Current License: CC BY-SA 3.0
16 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
May 14, 2014 at 10:46 | answer | added | Paul Siegel | timeline score: 6 | |
May 14, 2014 at 10:34 | answer | added | Paul Siegel | timeline score: 2 | |
May 14, 2014 at 5:58 | comment | added | Colin Reid | Not sure if this counts as an example: if you take a random $k$-element subset of the free profinite group $F$ on $d \ge 2$ generators, it will almost always be contained in a proper closed subgroup of $F$, for any $k$. What's interesting is that this is not the case, for instance, for the free prosoluble group on $d$ generators (provided $k$ is large enough). | |
May 14, 2014 at 2:38 | answer | added | Jake Fillman | timeline score: 1 | |
May 13, 2014 at 21:26 | answer | added | Simon Lyons | timeline score: -1 | |
May 10, 2014 at 15:00 | answer | added | Bill Johnson | timeline score: 5 | |
May 10, 2014 at 13:37 | answer | added | Benjamin Steinberg | timeline score: 2 | |
May 7, 2014 at 20:18 | comment | added | vzn | alas interesting idea but probably too broad when undecidable problems are taken into acct (undecidability is quite rampant). also, fractals. also, Collatz conjecture related to integer iterative/dynamic equations. | |
May 7, 2014 at 18:42 | answer | added | Joel David Hamkins | timeline score: 9 | |
May 7, 2014 at 18:23 | answer | added | Joseph O'Rourke | timeline score: 3 | |
May 7, 2014 at 17:51 | comment | added | Benjamin Steinberg | @Nate, they are better in some sense than transcendental numbers, but of course the deeper the math involved the more interesting. | |
May 7, 2014 at 16:28 | comment | added | Nate Eldredge | Would "Almost all continuous functions are nowhere differentiable" (in either the sense of category or measure) be an example of the kind you are looking for? Maybe that again is too trivial. Or, "Almost all numbers are normal"? | |
May 7, 2014 at 15:56 | history | made wiki | Post Made Community Wiki by François G. Dorais | ||
May 7, 2014 at 15:11 | comment | added | Sam Hopkins | The dichotomy between "highly structured" and "highly random" is at the heart of additive combinatorics: or at least I have heard this slogan tossed around a lot! | |
May 7, 2014 at 15:00 | comment | added | Benjamin Steinberg | I am particularly interested in nontrivial examples from a math viewpoint. Eg almost all numbers are transcendental would be a less interesting example. | |
May 7, 2014 at 14:49 | history | asked | Benjamin Steinberg | CC BY-SA 3.0 |