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> I'm majoring in Pure Maths and this is annoying to see yet another poor scientific article on Math. I dislike personal qualifications-based arguments, so I'm
by areyousure 10y ago
> I'm majoring in Pure Maths and this is annoying to see yet another poor scientific article on Math.
I dislike personal qualifications-based arguments, so I'm loathe to contribute to them. However, for people who are persuaded by mentions of qualifications: I have a PhD in mathematics and I think Quanta magazine is more-or-less the best popular-level writing available on the subject.
Still, I will attempt to contribute on issues of substance. I thought that everything in this article was fine. It's an old idea, as mentioned in this comment: https://en.wikipedia.org/wiki/Hilbert%E2%80%93P%C3%B3lya_conjecture https://en.wikipedia.org/wiki/Hilbert%E2%80%93P%C3%B3lya_con...
As such, perhaps the article would benefit from some history. As mentioned on the Wikipedia page https://en.wikipedia.org/wiki/Hilbert%E2%80%93P%C3%B3lya_conjecture https://en.wikipedia.org/wiki/Hilbert%E2%80%93P%C3%B3lya_con... observations regarding the distribution of zeros on the critical line led directly to early results in random matrix theory. This 2009 interview with Freeman Dyson discusses this connection, as well as this approach to the Riemann Hypothesis (Dyson refers to it as "a fourth joke of nature"): http://www.ams.org/notices/200902/rtx090200212p.pdf http://www.ams.org/notices/200902/rtx090200212p.pdf
I recommend reading that interview in its entirety, or at least the section on "jokes of nature", for Dyson's thoughts on a lot of subjects.
- heimatau 10y ago> I dislike personal qualifications-based arguments, so I'm loathe to contribute to them. Umm. There is a difference being being treated for an infection by a MD and a PhD in Philosophy. Context is key. I'm not trying to 'puff up' and make it an ego competition. Instead, I'm trying to provide some context with my feedback. Nor do I intend to speak for 'all' of anything, let alone mathematicians. (Specifically, I'm not just a layman providing feedback on this math/physics article) I appreciate you taking the time to provide feedback. I'm most interested in the pdf. When I get a brief moment, I'll check it out. Ciao!