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Results tagged with gm.general-mathematics
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user 23141
Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.
15
votes
Is amateur research in mathematics viable?
I think the real viability question here is whether you can maintain your passion for math outside of an academic context. It's certainly possible, but you really have to be motivated to make this wor …
16
votes
When is 2 qualitatively different from 3?
Ando's theorem: any pair of commuting contractions on a Hilbert space can be dilated to a pair of commuting unitaries. This fails for three commuting contractions.
9
votes
Are there proofs that you feel you did not "understand" for a long time?
I remember not understanding the proof of the fundamental theorem of calculus. My teacher, who was otherwise very good, didn't cover the proof; she told us we could look at it ourselves if we were cur …
9
votes
Accepted
Surprising applications of the theory of games?
I think evolutionary biology is a major application, if you're accepting answers outside of math. The central notion of an evolutionarily stable strategy (ESS) is a Nash equilibrium.
- 42.8k
1
vote
Topology in non-mathematical literature
I know you want to "stay out of the usual torus/moebius strip stuff" but I can't help mentioning the infinitely long short story "Frame Tale" by John Barth.
30
votes
What are the applications of operator algebras to other areas?
I'm a little puzzled by the tone of the original question. My personal view is that operator algebras are intrinsically interesting, and if there are good applications to other fields, so much the bet …
46
votes
Accepted
What would remain of current mathematics without axiom of power set?
This is a real question.
You're not the only one who find the power set axiom dubious. At the time of the great foundational controversies, Russell and Weyl both expressed a similar view. It is now k …
- 42.8k
4
votes
Accepted
"Mathematics is the science of the infinite"
I think there is a fairly straightforward answer to this question coming from reverse mathematics. According to Wikipedia, "finitistic reductionism" is represented by the system WKL${}_0$, and reverse …
- 42.8k