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Results tagged with gm.general-mathematics
Search options questions only
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user 6094
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.
18
votes
3
answers
2k
views
Heat map of current mathematics
The recent article on Quanta
(by Natalie Wolchover)
concerning $\aleph_1$ vs. $\aleph_2$ suggests that there is
excitement within that community:
Juliette Kennedy: "It’s one of the most intellectuall …
- 151k
0
votes
1
answer
703
views
"Mathematics is the science of the infinite" [closed]
The title is the first sentence of Hermann Weyl's 1930 essay,
"Levels of Infinity."
He focuses on
"the distinction between actuality and potentiality, between
Being and Possibility."
He opine …
- 151k
7
votes
1
answer
862
views
Windows into new mathematical worlds [closed]
Yitang Zhang's Annals of Mathematics primes-gap result
opened a new window, which
Polymath's reduction from $70\times 10^6$ to $246$ attests.
Perhaps
Harald Helfgott's
celebrated proof of the odd Gol …
103
votes
15
answers
17k
views
Have you solved problems in your sleep?
I have hit upon major (for me—relative to my trivial accomplishments)
insights in my research
in various sleep-deprived altered states of consciousness,
e.g., long solo car-drives extending through th …
15
votes
3
answers
998
views
Thom's Principle: rich structures are more numerous in low dimension
Marcel Berger states Thom's Principle as:
"rich structures are more numerous in low dimension,
and poor structures are more numerous in high dimension."
This is in
Geometry II
(Springer-Verlag …
- 151k