gavagai691

7 ms·

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by gavagai691 1y ago
Is your job developing AI coding tools?
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by gavagai691 2y ago
"Save for Maynard, a 37-year-old virtuoso who specializes in analytic number theory, for which he won the 2022 Fields Medal—math’s most prestigious award. In dedicated Friday afternoon thinking sessions, he returned to the problem agai
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by gavagai691 2y ago
"It has been proved all the zeroes are within a narrow strip centred on the line and you can make the strip as arbitrarily narrow as you like." Nothing close to this is known. The nontrivial zeros of zeta lie within the critical s
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by gavagai691 2y ago
You don't think that a model is something abstract? Abstract doesn't have to imply nonphysical in the sense that people think souls or God are nonphysical. I mean abstract in the sense that language, mathematics, or a sketch are a
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by gavagai691 2y ago
Well, it is an empirical question whether or not matter is continuous and infinitely divisible, or discrete. Our best theories tentatively suggest that matter is discrete (though it is hard to say how much confidence to put in that, or how
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by gavagai691 2y ago
I agree that this is a problem with the above definition of model, analogous to the (IMO fatal) problems with https://en.wikipedia.org/wiki/Deductive-nomological_model#We... .
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by gavagai691 2y ago
No, that's not exactly a sci-fi concoction. In special and general relativity, there are three dimensions for space and one dimension for time, and this is not something that is of "incidental" importance to special / ge
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Don't "Both-Sides" the Impoverishment of Political Discourse(3quarksdaily.com)
5 points by gavagai691 3y ago|0 comments
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The marketplace of good and bad ideas(conspicuouscognition.com)
17 points by gavagai691 3y ago|0 comments
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ChatGPT and the Future of Public Intellectuals(3quarksdaily.com)
2 points by gavagai691 4y ago|1 comments
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by gavagai691 4y ago
Sure. Seating Pokemon trainers and Pokemon, where each trainer brings their Pokemon. Idea stolen from this video on Gale-Shapley, which is also typically presented in a "gendered / heteronormative" way (but doesn't have
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Notes on Progress in Philosophy(3quarksdaily.com)
2 points by gavagai691 4y ago|0 comments
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by gavagai691 4y ago
My background in philosophy is "studied a decent amount of it in college," so I certainly could be wrong here. But to me the paragraph that you are describing as "just plain wrong" seems relatively measured, consistent w
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by gavagai691 4y ago
"The sad part is that as the trend continues we may reach a point where a mathematician's intellectually productive life is not sufficient to contribute anything novel, statistically speaking." People talk about this a lot. W
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by gavagai691 4y ago
I think P != NP is extremely interesting, but I wouldn't say it has strong implications for the nature of the concept of determinism or reality. I think that the idea of a Turing machine / the notion of computability has deep phil
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by gavagai691 4y ago
Not sharpest; he says he thinks it can be improved, but not down to 1 (if it could be improved down to 1, that would prove the nonexistence of Landau--Siegel zeros).
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by gavagai691 4y ago
Hey, this comment was my attempt at an ELIUndergraduate (5 is probably a little too ambitious for this topic). I hope it may be helpful! https://old.reddit.com/r/math/comments/y93a86/eliundergradua...
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by gavagai691 4y ago
I was thinking about watching this documentary two years ago. That sounds like the reason that I decided not to.
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by gavagai691 4y ago
In that case, you might find interesting these two short explanations I posted to Reddit about Siegel zeros (the second is a continuation of the first) :) https://old.reddit.com/r/math/comments/y93a86/eli
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by gavagai691 4y ago
Yes, you should :)
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by gavagai691 4y ago
More counterexamples here too: https://old.reddit.com/r/math/comments/xw8i9w/oldest_person_... .
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by gavagai691 4y ago
There is a documentary, but I can't attest to its quality (I haven't watched it yet): http://www.zalafilms.com/films/countingabout.html .
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by gavagai691 4y ago
There are many, many, many consequences for prime numbers--which to me are concrete enough to be interesting (and are way more concrete than what 99% of mathematicians work on!). On the other hand, I doubt this proof will help you to build
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by gavagai691 4y ago
The Greek characters in the screenshot are standard for the subject. The letters "chi" and "psi" (in that order) are the preferred letters for denoting Dirichlet characters, and zeros of L-functions are always denoted by
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by gavagai691 4y ago
Unfortunately, nobody can explain anything like this right now. The paper was posted today, is 111 pages long, and it will likely take even professional mathematicians around a year to understand / check it completely.
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by gavagai691 4y ago
I can't resist saying one last thing about Siegel zeros: number theorists REALLY would like for this result to be correct because the possibility of Siegel zeros is unbelievably annoying. I mean mathematicians are supposed to enjoy cha
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by gavagai691 4y ago
"I think Zhang's previous result was good enough to rebuff Hardy's claims." I agree.
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by gavagai691 4y ago
Yes, if you want to see something incredible (in both the literal sense and the usual sense), read https://www.math.purdue.edu/~ttm/ZhangYt.pdf (by Moh).
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by gavagai691 4y ago
If the proof is right, Zhang is in contention for greatest living mathematician with seven papers total, and on the basis of two of them (and should win all the major prizes he has not won yet and is still eligible for: Abel, Wolf, etc.
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by gavagai691 4y ago
Two additional notes: 1. Zhang posted an attempt at solving this problem in 2007 that he later more or less admitted was flawed: https://mathoverflow.net/questions/131221/yitang-zhangs-2007... . But speaking with m

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