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david-gpu 5 hours ago

Tao doesn't go as far as Baudelaire, but there are some similarities. In particular, Tao has criticized that AI is not being used to create new interesting conjectures, and that the rush to prove old conjectures is not giving human mathematicians enough time to carefully analyze and understand the proofs and the methods used in those proofs.

My answer to both is the same: nothing stops mathematicians from doing both of those things, with or without the help of AI. And we all understand that it will take time to do that. But complaining about the dawn of a new era of advancements seems counterproductive.

robotpepi 4 hours ago | parent | next [-]

> But complaining about the dawn of a new era of advancements seems counterproductive.

you completely misunderstood the critics. your analogy is awful. this is much closer to the industrial revolution in the uk: it brought a lot of progress, but also extreme inequality and concentration of power.

david-gpu 3 hours ago | parent [-]

I am very specifically addressing what I have read Terrence Tao say on AI and mathematics, as that is the subject of this submission.

Are we on the same page?

robotpepi 3 hours ago | parent | next [-]

I don't see any meaningful analogy with your cites of Baudelaire. First of all, Baudelaire discusses art, which is very different to science. Several new forms of art have emerged, and then slowly integrated, despite the strong opinions of some. Here, Tao's letter discusses mainly practical aspect of scientific research. It is not about what a "failed mathematician" would do, or if "LLM can only record what already existed"; in fact, it ackowledges that LLM could become a central tool. If you want me to be even more precise, what they're saying (without saying it out loud) is that tech companies have too much power and are being irrespondible with it because they don't even think about the externalities.

david-gpu 2 hours ago | parent | next [-]

> It is not about what a "failed mathematician" would do, or if "LLM can only record what already existed"

This is what I was alluding to:

I wrote recently about how the collection of good, fruitful open problems is now being mined in a non-renewable fashion, leading to the potential scenario of these problems becoming scarce [0]

[0] https://mathstodon.xyz/@tao/117237320796901560

shimman 2 hours ago | parent | prev [-]

Of course there's a meaningful analogy. The poster wants to make Tao sound unreasonable and against "progress" while ignoring the very real concerns Tao has.

It's what fanatics do when they want to enforce their view on the world, they have to attack anyone with a reasonable viewpoint because they can't imagine a world where someone tells them they don't like what they're doing.

david-gpu 2 hours ago | parent [-]

I do not want to make him sound unreasonable. He is a brilliant man. But I also think that he is a bit shell shocked, much like other luminaries in the past have been when confronted with rapid technological development, so I wanted to highlight some historical similarities, imperfect as they can only be.

As for the rest of your comment, I hope you have a great day.

beepbooptheory 3 hours ago | parent | prev [-]

It's not about whether the conjectures themselves are interesting or not, or whether people simply have enough time. It's that a bare proof made by a machine doesn't actually do much for us. There is not some set of problems that, once finished, will amount to some kind of final, correct system and we can call it a day and, like, utilize it. "Mathematics" is the people doing it (the "mathematical community" Tao references below). This other stuff is kinda just.. expensive exercises to render a result. They are only actually beneficial to us insofar as they exist in a context of research among peers.

https://terrytao.wordpress.com/2026/09/11/a-severe-misalignm...

david-gpu 2 hours ago | parent [-]

You have expressed a few different ideas, so I will address them separately.

> It's not about whether the conjectures themselves are interesting or not, or whether people simply have enough time.

Tao seems to think otherwise, if I am reading him correctly:

I wrote recently about how the collection of good, fruitful open problems is now being mined in a non-renewable fashion, leading to the potential scenario of these problems becoming scarce [0]

Often these solutions are announced in a rush, leaving no time for a proper writeup, the isolation of new methods and ideas, and citing relevant previous work of others. As in all creative professions, this raises severe attribution and plagiarism questions. [1]

> It's that a bare proof made by a machine doesn't actually do much for us.

I get it, and I think the same can be said about all sorts of human endeavors.

> There is not some set of problems that, once finished, will amount to some kind of final, correct system and we can call it a day and, like, utilize it.

Sure. Although there are certainly practical applications to be found along the way. E.g. proving P=NP would be potentially very significant in the real world. I think we agree.

> "Mathematics" is the people doing it (the "mathematical community" Tao references below)

Sure. And the same can be said again about all sort of human endeavors. But I don't see how that is a reason to stop using AI in those fields, either. It doesn't subtract anything, in the same way that chess engines didn't destroy the love of the game for chess.

And just like in chess, these AIs can be used to gain a deeper understanding. Including, but not limited to, explaining to humans the proof they just came up with.

[0] https://mathstodon.xyz/@tao/117237320796901560

[1] https://terrytao.wordpress.com/2026/09/11/a-severe-misalignm...

beepbooptheory 2 hours ago | parent [-]

Are you trying to argue toward some final verdict with regard to LLMs and mathematics? I thought you were just trying to make a comparison to Baudelaire? I think maybe being clearer on this point would help. Even if you argued sufficiently for the latter (which is going to be tough already), it wouldn't really speak to the former. Or at least: that would have to be a separate argument I think.

Also, how, in your words, do you feel like the first quote justifies your point (presumably with regard to the question of "interesting" or not)? And why do you think the second one is more about time itself rather than attribution? Do these things actually contradict the letter above (or the comment on it) in your mind or not?

In general, do you disagree with something here specifically? Or is it kind of a yes/and thing? Does any of this help, in your mind, with the Baudelaire comparison you were at least at one point trying to argue for? Its a bit hard for me to see the argument here, if there is one, just with what you have written. But I am sure I am just not knowledgeable enough to grasp the argument!

david-gpu an hour ago | parent [-]

My opinion is that the field will adapt. AI will not spell doom for mathematics. On the contrary, it is the beginning of a new era. Math is having its Deep Fritz moment, just as computer science is going through the same.

Some folks are struggling to adapt to this change. Tao actually sounds like he is doing alright compared to most, even if some of his arguments seem a bit weak, as I alluded to in other comments in this thread.

Hopefully it makes some sense. And if it doesn't, at least we had a nice chat.

beepbooptheory 20 minutes ago | parent [-]

Haha yes I imagine we all know your opinion is something like that! But isn't it much more fruitful and interesting to form an argument for it? If he is still in the context here: is there something about Baudelaire's critique you were discussing originally that has helped you arrive at this opinion? Do you think he is wrong? Or is he right, but providing the right kind of nuance that we need in order to cope with the revolutionary changes? Genuinely curious!

4 hours ago | parent | prev [-]
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