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Posted by auggierose 2 days ago

Why do we need human mathematicians anymore?(terrytao.wordpress.com)
291 points | 374 commentspage 2
jvanderbot 2 days ago|
There's one flaw in the evidence for the logic chain. The hugging face attack is used to demonstrate three things: the need for oversight today (fundamental to the article) and to demonstrate some kind of drift or unexpected capability gain, and finally to hint and some fundamental morality of the AI or at least the risk of drift from our morality.

I'd argue that what the hugging face attack illustrates is that large AI companies are motivated to have bombastic claims supported by bombastic demos. The model was clearly trained or encouraged to work as it did, as evidenced by the fact it keeps using this particular escape hatch.

And the fact that it aligns with prior and current calls for what very likely might be a regulatory capture / oversight capture move right before IPO. It aligns so well with this "barely constrained superweapon" narrative it might as well be PR.

dist-epoch 2 days ago|
How does your logic explain that OpenAI seems to want to hide the extent of the HuggingFace incident, and every week we learn from 3rd parties about new victims of the hack?

4D chess? They want others to find the hacked services, so the report of how dangerous the agents are seems more "legit"?

jvanderbot 2 days ago|||
IMHO hiding details of the hack helps conceal that they built it to do what it did, and maybe were able to know it was working just as intended.

The fact it keeps doing it, with more and more evidence, is a sign that it's built that way.

This is a program running on their montoroed machines that they purpose built and monitored its training at every step. I think it'd be way more suprising that they didn't know it used note taking and cross-run memory.

lelanthran 1 day ago|||
>> The model was clearly trained or encouraged to work as it did, as evidenced by the fact it keeps using this particular escape hatch.

> How does your logic explain that OpenAI seems to want to hide the extent of the HuggingFace incident,

Because they, uh, "clearly trained or encouraged" it?

I mean, you can dispute the truth of that statement, sure. But it's kinda hard to say that the GP's logic didn't explain why OAI wanted to hide the extend of the HF incident.

groundzeros2015 1 day ago||
The primary motivation for math is not to check off proofs, but to understand the universe.

A proof itself is only an articulation of understanding. Traditionally having one was evidence you had an insight. But if a computer generates 10,000 pages of technical goop then we don’t learn anything.

For example if tell you P=NP with no other information, it doesn’t change anything. There are mathematicians who believe and act on both conditions. What we hope a proof would reveal is how a verifier could be used to derive the solver (even if doing so was impractical).

Why doesn’t the author even mention this and immediately jumps to utility arguments for why the research is important for the government to fund?

treszkai 1 day ago||
Because it's a poorly written article.
infamouscow 1 day ago||
> Why doesn’t the author even mention this ...

Because the question that belies all of this is whether still makes financial or economic sense in the age of LLMs for tax-payers to fund mathematics research.

Up until recently, they've had a true ivory-tower to dismiss such criticism, but as LLMs have demonstrated, that approach won't survive going forward, so pure mathematics are up in arms. They genuinely don't know how to justify their jobs.

groundzeros2015 1 day ago||
I don’t think this is a key question at all. There are a hundred other academic disciplines that dont provide immediate research utility either.

Math was always a few levels removed but somehow sneaks in with engineering and basic science.

alastairr 1 day ago||
I find Tao's writing on this very helpful, particularly because a lot of the ideas generalise to most knowledge work. It is darkly fortunate that some of the smartest and most articulate people on the planet are affected by the AI race - it gives me a little hope that alignment and control can be solved.
monsieurbanana 1 day ago|
(this is not from Terrence Tao, he just reposted it in his blog)
0xEnsp1re 2 days ago||
AI is not AGI right now, it can't think or come up with something new like a human brain. It still uses knowledge that was made by a human and was published on the Internet.
rcxdude 1 day ago||
Please formulate and relate this to a concrete prediction of something that a current frontier AI cannot do (that a human can).
anon291 2 days ago||
There is no evidence to substantiate what you are saying.

Every possible proof exists already as a possible generation in the grammar of lean or rocq. In no way does that mean we have discovered everything.

goatlover 2 days ago|||
Is there a proof that every possible proof is a generation in the grammar of lean or rocq? Sounds like an unsubstantiated claim.
otabdeveloper4 2 days ago||||
You're confusing the mechanical language of math with math itself.

The map is not the territory, etc. If math was just an elaborate linguistic Glass Bead Game then we wouldn't be funding it. The intuition is that the surface rules of math help uncover the underlying structure of reality.

nl 1 day ago|||
This isn't necessarily true.

While every formal proof can be encoded mathematically that doesn't imply that the grammar of lean or rocq is sufficient to encode every potential proof.

However the core of what you are saying: that every possible proof exists in the space of all mathematical statements is correct.

lnrd 1 day ago||
> A host of reasoned declarations and open letters to protect/guide the math research community have been released over the past few months, spiking in intensity after OpenAI announced their solution to the Millennium Prize variant of Navier-Stokes. They quickly gained widespread support among mathematicians. The Leiden Declaration already has 4,000+ signatories, Math and AI has 7,000+, and even the open letter opposing the Caltech Mathathon has 2,000+.

> Among non-mathematicians, the public response was more sympathetic than not, but I observed a vocal minority (particularly from the technology and economics communities) with reasoned objections, generally saying that the mathematicians should adapt and cede control in the new AI world.

Interesting how Software Engineers, instead, seem to have given up early without any declarations or open letters.

nnevatie 1 day ago||
> we won’t have enough people for all the jobs that need to be done

Who defines jobs that need to be done? Businesses and institudes do.

There is no magical entity that observes the need for jobs and creates them at ideal rate.

mathgeek 1 day ago||
Consider a world with one person in it. That person defines the jobs to be done. As soon as that person is disabled for one reason or another and is dying due to lack of care, there are by definition more jobs to be done than people to do them. "Businesses" and "institutes" are just constructs that exist to summarize those needs at scale.
hakimg 1 day ago|||
I would say aggregate human desires determines what jobs need to be done businesses come about to fulfill the gap.
nnevatie 1 day ago||
Yes, I think it would be viable if it wasn't corporations reaping all the benefits (income) from AI right now.
VCFundedGenYer 2 days ago||
What's up with these insanely off base articles on HN this morning? Every single one of these is an unhinged pro-AI anti-human schlock piece.
trostaft 2 days ago||
You're talking about this article? I don't see how you could get that, fundamentally I read it the other way around. Unless you're talking about the base assumption of capabilities.
greyw 2 days ago|||
My HN frontpage is filled with anti-AI rants
D-Machine 1 day ago|||
HN is now heavily astroturfed or overrun by bots (or, alternately, low-quality posters now indistinguishable from the previous), and this is especially so in AI-related threads.

One tell is that most comments barely exceed one or two sentences (because otherwise AI detection gets easier and much more reliable), when this was not as much the case many years ago. The drive-by comments are also low / zero quality, mostly expressing a feeling or agreement/disagreement, and primarily driven by ideology or pre-existing beliefs and commitments.

Look at non-AI-related threads and you'll notice a large distribution shift relative to AI-related ones.

EDIT: Basically HN is orange Plebbit now. If you doubt this, compare HN discussions to those on e.g. lobste.rs, LessWrong, The Motte, DSL, ACX, or other old obscure forums. You'll notice those places have their own very serious biases and problems, but it is obvious the vast majority of posters are nevertheless human and making some minimal efforts.

Now compare Reddit and 2026 HN to the above, and see if you can confidently say the same.

biimugan 1 day ago||
> AXIOM We (humans) should help humanity flourish.

I think this axiom is not a true belief for many of the most powerful, especially the ones currently driving the technology financially. It feels like they disdain having to be human (especially as it concerns the human propensity to die). Even though they are, by at least capitalist standards, at the top of the food chain and (I'm sure from their point of view) the pinnacle of human civilization.

I think what many of these powerful people want is literally something like Cixin Liu's "The Last Capitalist" (https://en.wikipedia.org/wiki/For_the_Benefit_of_Mankind).

vatsachak 2 days ago||
Why is Terry Tao even talking these arguments when all OpenAI did was a sophisticated brute force search with LLMs?

Give them Navier-Stokes in a vacuum

unsupp0rted 1 day ago||
Same reason Gary Kasparov and Lee Sedol started their morning in one universe and ended their evening in another.

Brute Force or not, the game is being played and won without them all of a sudden, and even worse: at a level of output far beyond them

vatsachak 1 day ago||
No it's not though. Can OpenAI prove Navier-Stokes from a vacuum with no human knowledge?
gjm11 1 day ago|||
Can a human?

(Evidently not, since humans hadn't managed to do it even with the entirety of human knowledge available to them.)

vatsachak 1 day ago||
They used an agent swarm. Could humanity? Of course; it was close to being solved. It might have taken five years
gjm11 1 day ago||
The question you asked was whether the AIs could prove the thing "in a vacuum", without making any use of previous human work. "Close to being solved" is a statement about all the previous human work that mathematicians might have used to do it in five years.
red75prime 1 day ago|||
Replication of the development of mathematics by human civilization is a task for an artificial hyperintelligence.
jambalaya8 1 day ago||
What will anyone do? What will anyone feel their purpose would be? Can't all have the same one, either.

What will the planet 'need' homo sapiens for (arguably it never needed homo sapiens at all)?

Would anyone's time or life really have significant value?

red75prime 1 day ago||
I didn't mean that as "we need hyper-intelligence." I mean that going all the way from nothing to singular, dual, plural grammatical numbers attached to particular nouns to abstract one, two, three, many to zero, one, two, three... to rationals to... is a very long way.
dcl 2 days ago|||
What do you think all the PhD's and post-doc students are doing...? It's not called graduate-descent for nothing :p
EA-3167 2 days ago||
> What do you think all the PhD's and post-doc students are doing...?

Thinking.

demibabs 1 day ago|||
The article wasn’t written by Tao.
vatsachak 1 day ago||
He's expressed similar fears of being replaced in a recent talk
sinuhe69 2 days ago|||
Because it’s high time to rethink the incentives and rewards structures to nurture the next generations of mathematicians when corporate money and automated AI systems are mining the pool of limited interesting problems without giving back or enhance our understanding.

The problem they care about is not just “AI replaces human mathematicians” but rather the society thinks mathematicians can be replaced by AI.

red75prime 2 days ago||
Brute-force search is called that specifically for its lack of sophistication. A "sophisticated brute search" is an oxymoron.
vatsachak 1 day ago||
You're right. But...

Spending 132 billion tokens is definitely way more energy than human mathematicians would have thrown at the problem and probably would have solved within two years.

Mbarley 1 day ago|
Humans still excel at posing the right questions and finding truly novel, insightful proofs. AI just brute-forces.
p-e-w 1 day ago|
AI does NOT “brute-force”, else we could have had those math breakthroughs decades ago. Seeing this dishonest goalpost-moving every few months is so tiring.
lelanthran 1 day ago||
> AI does NOT “brute-force”, else we could have had those math breakthroughs decades ago.

Brute-force as an approach, or partial approach, might only become feasible with more computing power. Decades ago, we had less computing power.

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