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Questions tagged [ho.history-overview]

History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.

26 votes
1 answer
2k views

Among the talks at occasion of the Galois Bicentennial, one is about "Transalgebraic Theories". Unfortunately I found only this article (Wayback Machine, arXiv:1707.01770) describing that ...
14 votes
2 answers
836 views

Before Andrew Wiles's 1997 proof of Fermat's Last Theorem, in 1985, Étienne Fouvry et al. proved that the first case of FLT holds for infinitely many primes $p$. Is there any infinite class of primes ...
68 votes
13 answers
5k views

I think most people believe that mathematical truths are logically necessary. The fact that $\sqrt{2}$ is irrational doesn't depend on who proved it, when they proved it, whether they liked it, or ...
229 votes
35 answers
59k views

The purpose of this question is to collect the most outrageous (or ridiculous) conjectures in mathematics. An outrageous conjecture is qualified ONLY if: 1) It is most likely false (Being hopeless is ...
60 votes
14 answers
16k views

After a long reflection, I've decided I won't go to graduate school and do a thesis, among other things. I personally can't cope with the pressure and uncertainty of an academic job. I will therefore ...
86 votes
5 answers
14k views

I am very interested in reading some and skimming through the list of invited talks at the International Congress of Mathematicians. Since the proceedings contain talks supposedly by top experts in ...
97 votes
75 answers
29k views

Many mathematicians know that Lewis Carroll was quite a good mathematician, who wrote about logic (paradoxes) and determinants. He found an expansion formula, which bears his real name (Charles ...
31 votes
6 answers
7k views

I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy. In G.H. Hardy's wiki page, we read: Hardy cited as his most important ...
74 votes
44 answers
44k views

From A Mathematician’s Apology, G. H. Hardy, 1940: "I had better say something here about this question of age, since it is particularly important for mathematicians. No mathematician should ever ...
17 votes
2 answers
2k views

Cardinal characteristics of the continuum (CCC) are cardinals which are associated with naturally arising combinatorial properties of "the continuum". The reason that "the continuum&...
17 votes
5 answers
1k views

Joshua Lederberg received a the Nobel prize in medicine in 1958 and he was a major contributor to the Stanford DENDRAL software expert system that Given a mass spectrum of an organic molecular sample ...
26 votes
1 answer
1k views

In Grothendieck's Sketch of a Programme he spends a few pages discussing polyhedra over arbitrary rings and concludes with some intriguing remarks on specializing polyhedra over their "most ...
20 votes
3 answers
1k views

I am trying to find a copy of a picture "Mathematische Gesellschaft: Group Portrait, Faculty, University of Göttingen (1899)." This picture was published by Springer-Verlag as a poster in 1985, but ...
17 votes
2 answers
1k views

When I was a graduate student, I was highly influenced by the work of Bourgain, particularly his 1991 paper Bourgain, J., Besicovitch type maximal operators and applications to Fourier analysis, Geom. ...
430 votes
94 answers
154k views

It can be difficult to learn mathematics on your own from textbooks, and I often wish universities videotaped their mathematics courses and distributed them for free online. Fortunately, some ...

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