58 points smilelamp 1 hour ago 63 comments
bananaflag 1 hour ago | parent
tim-kt 1 hour ago | parent
muadddib 1 hour ago | parent
beng-nl 1 hour ago | parent
pfdietz 1 hour ago | parent
It would be cool if some prestigious such program revamped itself to be AI-focused, maybe in collaboration with a CS department.
j2kun 1 hour ago | parent
123987182 1 hour ago | parent
2) TFA argues golden age, provided LLM infrastructure is independent.
3) Tao just opened a new SAIR AI platform.
4) Tao just opened a journal for papers with Lean proofs.
5) Academics are known to play both sides of the fence.
It is absolutely bewildering how some people miss the finer points.
muadddib 2 minutes ago | parent
bananaflag 1 hour ago | parent
ramraj07 1 hour ago | parent
bananaflag 1 hour ago | parent
fidotron 1 hour ago | parent
georgemcbay 47 minutes ago | parent
IMO this is probably not an accurate assessment of Tao in particular at this time.
But in the general case, I think most people have a set of blinders on that will result in a predictable reassessment of AI with the following steps as AI progresses when applied to whatever it is they do:
1) AI is useless and doesn't impact me at all. Look at how bad it is! (Most developers up until late 2025)
2) Ok, now AI is useful but will not replace me. Sucks for the juniors in the field but I am still needed to guide the AI. AI will never be capable of my judgement (or whatever). (Most developers now)
3) Oh shit, I've been replaced in terms of economically valuable utility by AI. (tbd, but likely sooner than is comfortable)
And not everyone will experience #3, there will be a top 1% or so for most fields where #3 remains true for them, but it is likely that for most people #3 comes eventually.
zeroonetwothree 31 minutes ago | parent
zzzeek 57 minutes ago | parent
> Universities, professional societies, funding agencies, and scientific foundations should coordinate the development and governance of competitive LLMs. Scientists will need access to frontier capabilities, transparency about their operation and use of research data, strong confidentiality protections, and the ability to test and reproduce research claims independently.
> The massive computing resources, specialized personnel, data infrastructure, and ongoing investments needed to support this kind of initiative are not within the reach of a single institution, and a huge leadership effort will be necessary to conjure the combination of independent model development, guaranteed access to commercial systems, public computing infrastructure, and open research resources that could do the job.
the post is calling for....an enormous investment in LLM infrastructure.
knottn 39 minutes ago | parent
alansaber 1 hour ago | parent
impendia 36 minutes ago | parent
By all means, please read the article if it's interesting to you and ignore it if it isn't. But I believe that it's mostly directed to those already within the research math community, with a far more important purpose than to be interesting.
As the post itself explains, we (research mathematicians, as a profession) need to coordinate on deciding what a bright future will look like in a world with powerful AI, and in plotting a course to get there. And we need to do it fast, or circumstances might decide for us.
Historically, we've rather sucked at coordination. We need leadership -- we need someone to step forward, and begin by floating ideas and getting the conversation rolling. Personally I am very grateful for what Tao is doing here.
simianwords 1 hour ago | parent
The author spends a lot of time trying to suggest that LLMs are not the end all be all and humans are still needed for understanding etc. Fine. I understand.
If it is so the case that LLMs don't help that much, surely it doesn't matter if LLMs are privately controlled?
How come LLMs are important enough that private control matters but also not enough for actually advancing mathematics significantly on its own?
In other words, you are almost always better off with LLMs even if it is privately controlled. The mathematics community can just ignore LLMs for the base case or use ChatGPT if they want. In either case, it is strange to suggest that things will get worse for them. Its as if they don't have the coordination or agency to adapt.
lukehandcool 34 minutes ago | parent
One big problem here is that OpenAI would be hoarding this ability by 1) not releasing their top models for public use,as we have already seen them do, and 2) limiting the capability of the public API, which we have also seem them do.
This not only kills incentive for math, it means that OpenAI becomes the arbiter of math and research for the world. The research that will be done is the research OpenAI decides to do.
This seems very dangerous to me.
Another path forward is distributed local models. Professors can do research on their HPC machines, individuals can have full access to their models. It's a much more democratic approach.
simianwords 19 minutes ago | parent
But coming to final answer is not important and that’s what the author spends time arguing. If they are right, surely whatever slop OpenAI is producing is worthless to human understanding which is the main goal.
The math community has to change prestige markers to promote people who contribute to understanding and not just solving theorems and that’s on mathematicians to do.
If solving problems is the end goal then I don’t mind OpenAI doing it in which case furthering math is already solved by someone.
The only failure mode is if mathematicians can’t get funding for just “understanding”. But it shouldn’t be that hard to do if their claim is right that their main contribution to society has always been understanding.
I’d argue that getting funding purely for understanding may be even easier to justify because the costs go down dramatically per unit understanding.
lukehandcool 50 seconds ago | parent
The question is, if OpenAI is in charge of all math, what will they research? Ideally they would do things to better humanity, but in the worst case scenario they would research war strategies, weapons development, voter suppression algorithms, etc.
OpenAI, and other similar companies seem to be so profit driven that their idea of research could so easily be perverted to cause net harm to not only the maths communities, but well beyond that.
dfxm12 59 minutes ago | parent
nestorD 59 minutes ago | parent
One in particular, about sharing secrets, that had not crossed my mind (I have found that virtually no one ticks the "do not train on my data" box...):
> Similarly, it seems that mathematicians already concerned and guarded about what they write in research statements and research proposals. After all, an administrator or a reviewer may upload those documents into an LLM to get help in writing a report, thus potentially compromising the confidentiality of unpublished research.
salawat 30 minutes ago | parent
When said button is in the basement, at the bottom of a broken set of stairs, locked behind a door that says "beware of the leopard", inside a filing cabinet, and implemented as
dontTrain() { //NYI
}
I wonder why.golemotron 17 minutes ago | parent
itsalwaysgood 52 minutes ago | parent
I don't think technology will fizzle out in either scenario. In the 'dark age' highly competitive scenario, you will still have those who 'understand what is produced' seeking progress and advancement. They will cohort with whoever/whichever organization is producing the best, most validated results.
I don't think knowledge would be become alien to human understanding, it would just become highly concentrated again as it was in the past. In the past, only the wealthy and noble could afford to spend time on education.
And usually, those who went deep into any field and provided contributions to science were those who had time to devote entire lives to the study or pursuit of knowledge. We still have these issues today, and these issues will always be present.
There is a supply chain of economy, and we provide different rewards based on the value of what is produced. The jobs never go away, the desire for prestige, greed, etc., never goes away. It's why economies exist, and it's why everyone is considering the value of LLMs, and their place in economies, and academies (presumably which exist to advance human understanding/appreciation, but also to prepare younger generations for future work).
analog31 14 minutes ago | parent
What will the ethics of math research be like in the AI era? Will it be like the apparent ethics of the tech oligarchs?
zackmorris 11 minutes ago | parent
As in: does competition or cooperation produce greater economic gains in terms of cost of living, quality of life, etc?
Subjectively, I've been forced to live and work under a competitive capitalist system that goes against most of my instincts for my entire adult life, which has resulted in a profoundly negative economic outcome for myself.
Others I know have done better, either finding ways to tread water as independent freelancers/artisans or managing to save modest nest eggs (although only by finding themselves on the winning side of the stock market, rarely/never through work at a job).
Vanishingly few have reached economic independence by winning the internet lottery for example, and I don't know them personally.
So based on the evidence before me, competition is a failed model. Yes yes, I'm writing this on an electronic device that cost billions of dollars of R&D to produce. I have food in my stomach and a roof over my head. But have I worked on important problems that would advance the state of the art in my chosen field? Of course not. And neither have most of you reading this.
So I would rephrase the question: will AI allow us to explore cooperation as an alternative economic model to the one we have?
I believe that it will, but not from the top down. If we wait for the wealthy and powerful to share, we'll be waiting forever. No, progress now must come from the most downtrodden among us creating alternative ways to provide time/money/resources to the underemployed and indigent so that they can finally self-actualize outside of the status quo.
Specifically, that means automating necessity. How do I acquire enough money to pay for my food and shelter today, even if I don't have a job? How can I acquire enough money to provide for myself, someone else, and some children (my personal definition of success) without being beholden to an employer? How can I remain insulated from inflation and the tendency for the owners of private property (not personal property) to devalue currency to make the means of production they own more profitable? How can I pay this forward to the next generation so that they can become educated and someday enjoy the commons which I myself have enjoyed? And so on and so forth.
If AI can't do those things, then frankly change may remain forever out of reach. Which makes the question of whether specific fields like math and science will benefit rather moot.
caaqil 46 minutes ago | parent
This is just incoherent. Even if we "agree" (we don't but...) not to "abandon" math, how does it follow that "we need a lot more mathematicians" exactly?
Even if you reject the idea that AI can displace the current top quartile/percentile of human mathematicians, wouldn't it be reasonable to assume that it will at least displace some parts of math so that there'll be less demand for mathematicians overall, not more? The mental gymnastics are astounding here.
pfdietz 42 minutes ago | parent
caaqil 17 minutes ago | parent
So the pie just gets larger? Large enough to outpace the displacement? I am gonna wait for this to generalize then, looking forward to AI giving us more software developers, mathematicians, etc. The economic laws have been broken. It's an infinite money glitch, as they used to call it.
throwaway384034 4 minutes ago | parent
I wonder how many mathematicians even truly understand any of the latest research which is only going to increase in output. It will be impossible to keep up unless you slow AI down (not happening).
jacquesm 34 seconds ago | parent
The goals of transhumanists go quite a bit further than just replacing people in companies.
odyssey7 43 minutes ago | parent
I’m not bitter about this anymore — it’s been a long time. But the story holds something.
Back in the day, I knew I was talented at mathematics, and I wanted to pursue a research career. For a freshman research class, I selected a problem that was intentionally outside my comfort zone, and came up with some cool ideas. It wasn’t publication quality, though the course wasn’t really expecting publications.
Framing the problem in a way that it could be solved with calculus turned out to be a key insight. I turned to Wolfram, since the integrals were beyond what I as a freshman could have done myself, and I understood that the insight that produced the solution was my original work. I don’t think anyone in the class could have done those integrals. The instructor himself couldn’t tell me what was wrong with them if anything. Yet, he was unimpressed and subtly dismissive or critical.
Today, I might have been in the wave of researchers developing AI for mathematics work. The instructor could have been proud of shaping mathematics through his mentorship. The university might have invited me for talks. Instead, I ended up leaving mathematics as a field altogether. Now, I write software for a bank.
The world is as rich as we make it. Don’t let your opportunities and potential expire. Embrace the materials that are available to work with, or someone else will and they will out compete you and you will have missed the moment.
I get that there’s a romantic idea of what mathematicians do, and the field changing creates a sort of identity crisis. I would argue that the field has entered a new era. Exploring and shaping this era of mathematics is the opportunity of a lifetime. Embrace it, drive it, and make your mark.
emptybits 21 minutes ago | parent
Maybe it doesn’t matter and maybe that’s just the new flavour of golden.
odyssey7 10 minutes ago | parent
Completely spitballing, I wonder what sort of sophisticated, collaborative computing effort might produce a paper analogous to the Higgs boson one, with 5154 authors.
ttul 38 minutes ago | parent
In other words, the crisis in mathematics (as I read it) is that AI can solve without teaching. The result may be impressive, but if the only beings that can move math forward in future are machines grinding away on billions of scenarios that no human would have the patience to undertake, this leaves those in the profession wondering about their place in it.
rustyhancock 27 minutes ago | parent
Frontier models can easily one shot what I ask for, and make adjustments as ask to quickly make an app that meets what I wanted.
But often when I programmed outside of work (and at work too) I learnt something.
Quite often that my favourite pattern is an antipattern in some use cases.
That might never happen again at the rate of development.
ang_cire 17 minutes ago | parent
blocked_againnn 8 minutes ago | parent
jonahx 4 minutes ago | parent
In contrast, the value of a program is typically just the "black box" service it provides. Indeed, the program itself has always been opaque to most business stakeholders. Before, they paid human programmers and got back a program they didn't understand but could use; now, they pay an LLM provider and get back a program they don't understand but can use. In the pre-LLM era, the economic value of "understanding" and "shared knowledge" about the programs themselves was only that it made maintenance and changes cheaper. It never had must intrinsic value, except as intellectual satisfaction to programmers (I was... am... one of those who found that value).
skydhash 27 minutes ago | parent
> The result may be impressive, but if the only beings that can move math forward in future are machines grinding away on billions of scenarios that no human would have the patience to undertake
Seems like the same thing as neural networks. You have something like a few thousand parameters for computer that works well, but no underlying algorithms and formulas, like the shaders.
golemotron 21 minutes ago | parent
A lot of progress comes from taking assumptions and breaking them. There was a time when everyone assumed that locked checkouts were absolutely necessary for version control, for instance. You could argue that AI could learn how to do this well but humans have context that machines won't. This is just an extension of the fact that things with independent existence will have different impressions of the world. If they didn't they would functionally be one thing.
curt15 9 minutes ago | parent
No one from OpenAI is willing to give a talk on any of their 300+ results.
There is a fixed landscape of logically provable mathematical statements. Normally, the process of exploring that landscape simultaneously improves human understanding. Now, formal proofs and actual knowledge have become decoupled.
grandpajoey 24 minutes ago | parent
Maybe AI can actually drastically improve this situation by bridging the gap between those "in the club" and those who want to do something useful with mathematical ideas.
CDSlice 19 minutes ago | parent
golemotron 8 minutes ago | parent
I like the UK's archaic system of measures for the similar reasons. It has the stamp of humanity. For those who think about such things it reminds of who we were. Without historical context we think less of ourselves.
grandpajoey 1 minute ago | parent
> They are a way of celebrating and honoring the human reach for excellence. If you like humans, that's a good thing.
I think progress is inevitable, ideas build on each other, and those with access to capital get to slap their name on their moment in time (yes, even if they did the hard work of converting that capital to progress). If AI takes over math, I really don't think we'll see a slow down in technological progress. Quite likely the opposite.
esafak 2 minutes ago | parent
ldng 19 minutes ago | parent
jacquesm 14 minutes ago | parent
hbcdbff 16 minutes ago | parent
Seems contradictory to me, referring to math as a field as “human mathematics” in one sentence, then deriding “anthropocentric visions”.
hbcdbff 12 minutes ago | parent
It strikes me that their field previously was quite heavily gatekept, and there was quite a lot of intellectual snobbery.
Seeing them taken down a peg or a hundred is somewhat gratifying.
jacquesm 2 minutes ago | parent
How is that Bloom filter written in Rust using Agile coming along?
hbcdbff 45 seconds ago | parent
charcircuit 6 minutes ago | parent
Once we've essentially found an algorithm that can solve any math problem we've essentially reached the end of mathematical progress. Checking current solvers against unsolved problems is how we can check if we've reached the goal or not.
Of course humans can still study math, like how we teach people arithmetic, algebra, calculus, etc. But there is no more progress to be had. As a society we can allocate resources elsewhere.
jacquesm 6 minutes ago | parent
I can imagine a future where these companies become the new Zaibatsus[2] holding patents across a wide variety of subject and with mutually re-inforcing silos of proprietary technology created by in-house AI that the rest of the world financed but does not have access to.
[1] For instance: https://www.reuters.com/world/anthropic-quietly-sets-up-biol...
mdp2021 4 minutes ago | parent