Timeline for Has any open/difficult problem in ordinary mathematics been solved only/mostly by appeal to set theory?
Current License: CC BY-SA 4.0
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Oct 26, 2020 at 22:08 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
Oct 26, 2020 at 12:44 | comment | added | Timothy Chow | @qk11 : The Whitehead problem and Kaplansky's conjecture were posed by working mathematicians because they wanted to know the answer, not because they were trying to construct examples of unprovable statements. | |
Oct 26, 2020 at 4:33 | comment | added | qk11 | This is very helpful, thanks. Since you mentioned independence results and the Whitehead problem was also mentioned above, I wonder how I should think about such results in general, related to my question: I mean they are serious results on their own right, and presumably do heavily rely on set theory, but are they always the kind of result that the working mathematician (e.g., the group theorist) is immediately interested in? Or was the point of there being results out there that set theory cannot solve all the problems (in which case, still a good thing to know)? | |
Oct 26, 2020 at 4:04 | history | answered | user103663 | CC BY-SA 4.0 |