QuesnayJr

5 ms·

31.
by QuesnayJr 2mo ago
Your reply isn't a response to the comment, but rather a general expression of antipathy towards mathematicians, who are apparently fatcats who have fancy lifestyles. OpenAI sat on the results so they could drop 10 at a time. It'
32.
by QuesnayJr 2mo ago
They are more than a strong student could achieve. I'm not equally familiar with the problems, but the ones I'm familiar with, if a student solved them people would be thinking "that's someone on track to win the Fields
33.
by QuesnayJr 2mo ago
The ones I'm familiar with are big breakthroughs, but they are both counterexamples. Examples have an advantage in that once you have the example in hand and a sketch of the proof (which they have provided), then an expert can probabl
34.
by QuesnayJr 2mo ago
The Maxwell conjecture was a conjecture in theoretical physics (though not a particularly important one)
35.
by QuesnayJr 3mo ago
Mostly the significance of a conjecture is that we don't know the answer. A conjecture is successfully resolved if it proven or disproven. (In fact, of the three big conjectures to be resolved in the past couple of weeks, one was pro
36.
by QuesnayJr 3mo ago
When that day comes, you think they won't? They spent their lives carefully honing a skill that is now worthless.
37.
by QuesnayJr 3mo ago
There was no particular reason to think it was true. It's easy to find examples using exponentials or trig functions where it's not true. But it would be neat if it was true, and nobody found an example where it wasn't true
38.
by QuesnayJr 3mo ago
I remember back when Gemini looked like it was the best model that this comment section was full of confident predictions that Google had "won" and that no one would ever catch up with them again. The most embarassing part is tha
39.
by QuesnayJr 3mo ago
If the poster's (is it Kevin Buzzard?) suggestion works out and AI finds a counterexample to the Hodge conjecture, that would be a really big deal. It's one of the Millenium problems, for example. One thing that he mentions that
40.
by QuesnayJr 3mo ago
That's not at all the scenario you proposed. You proposed a simple proof that Fermat himself would understand. We have developed a tremendous amount of math since Fermat, and if none of it was relevant that would be damning. If ther
41.
by QuesnayJr 3mo ago
No. I would say that it was easy, and that something had gone terribly wrong with math research that we missed it.
42.
by QuesnayJr 3mo ago
This seems like the next step, but the smallest counterexample in n=2 is degree greater than 100. (This is a paper of Moh. Wikipedia has details.)
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by QuesnayJr 3mo ago
The retrospective view is important, though. In retrospect, these problems weren't that hard. (The unit distance graph problem was the hardest.) There are some problems that still seem hard, even when we know the answer. Nobody thi
44.
by QuesnayJr 3mo ago
Why would I try it to win an argument on HN? That's a bizarre suggestion. Just look at the degree. If it were degree 47 in 17 variables then it wouldn't be surprising, but here it's surprising. Of course people tried hard
45.
by QuesnayJr 3mo ago
It was known to be false in general. But there are many questions that are false in general, but true when restricted to polynomials.
46.
by QuesnayJr 3mo ago
I think in the long run mathematicians are probably fucked, but in the short run it's not that bad. All three of the big conjectures solved the answers were at the level where if you had given a grad student the questions and the righ
47.
by QuesnayJr 3mo ago
I haven't seen these claims, but all of the open problems that have been solved so far have been in the category of "humans could have solved them, but didn't". This doesn't diminish the significance of the results
48.
by QuesnayJr 3mo ago
There's a certain (unfair) stereotype of Russian mathematicians that this fits.
49.
by QuesnayJr 3mo ago
If governments introduced a whataboutism sin tax, they could solve budget deficits overnight.
50.
by QuesnayJr 3mo ago
Both systems are at end-of-life. If anything, China is closer to the end. The total fertility rate in China is down to 1, while the US is 1.62.
51.
by QuesnayJr 3mo ago
At this point you're just openly shilling for the CCP. The CCP killed millions of people through incompetence, and then they had the brilliant idea of copying the exact development model of the Asian Tigers. It's their previous
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by QuesnayJr 3mo ago
Philosophy majors do surprisingly well in getting jobs outside academia, so I think the market demand for confusion is bigger than you might guess.
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by QuesnayJr 3mo ago
They get paid to produce confusion.
54.
by QuesnayJr 3mo ago
If it was the students, then students can have things they think are cool or uncool. If it was the professor, then that would be very embarassing on his or her part.
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by QuesnayJr 3mo ago
It's newsworthy because it's a milestone. It was something no human was able to do (despite trying very hard), but a machine did. Humans have written lots of interesting blog posts. The idea that mathematics has rejected any not
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by QuesnayJr 3mo ago
According to Wikipedia the term basically wasn't used by Marx at all, and was coined by other anti-capitalists.
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by QuesnayJr 4mo ago
There's an old paper about the mathematics of nomograms that I found interested when I stumbled across it: https://doi.org/10.1016/0001-8708(65)90042-3
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by QuesnayJr 4mo ago
The first time I saw the red squiggles is one of the few times I thought "Good job, Microsoft".
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by QuesnayJr 4mo ago
Someone said to me yesterday "I'm thinking about building my own cyberdeck" and I boggled, because the only meaning I knew was the Neuromancer one.
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by QuesnayJr 4mo ago
GA is Clifford algebra plus a bunch of new terminology plus advocacy that it should replace linear algebra.

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