I know why the mathematicians weep (derekthompson.org)

320 points by RickJWagner 8 hours ago

atleastoptimal 5 hours ago

I think beyond the specific elements of any domain AI eclipses humans in, overall, the notion of the thing that grants you status, prestige, and a living wage being commodified would spark in anyone a profound sense of dread.

Beyond just making you redundant in your job, the whole architecture of your existence, the thousands of hours of struggle, the sacrifice of putting off social games or personal enjoyment are now rendered moot in hindsight. You are made one step closer to complete worthlessness, which will surely continue as AI becomes a more satisfying personal companion, a more worthwhile friend, lover, etc.

How is one to feel safe in the progress of the future when the only hints of the wonderful post-scarcity utopia we can quantify so far is the removal of all human leverage via their labor? All it tells us is we will be bargaining with superintelligence with nothing to stand on, only a trust that the 5000 lab executives and researchers solved the most important research problem of all time on the first try.

hgs3 4 hours ago

And remember, these AI models were trained on your work, your culmination of effort and sacrifice, without any consent, credit, or compensation, then sold back to you for a subscription fee.

dyauspitr 3 hours ago

That’s what standing on the shoulders of giants refers to. This is how science has always worked. The generated papers have attributions and citations just like if a human wrote them.

JumpCrisscross 2 minutes ago

BobaFloutist 3 hours ago

badc0ffee 3 hours ago

zilfedie 27 minutes ago

rylando 3 hours ago

HoldOnAMinute 3 hours ago

Many organizations are giving away capable models for free.

rylando 3 hours ago

dspillett 3 hours ago

suncemoje 5 hours ago

> You are made one step closer to complete worthlessness, which will surely continue as AI becomes a more satisfying personal companion, a more worthwhile friend, lover, etc.

I recently thought about this and fear that AI may further drive us humans apart.

Instead of working with humans, I increasingly work with a fleet of agents.

id34 4 hours ago

I would recommend the work of Sherry Turkle, specifically her new book "Artifical Intimacy" - she is quite opinionated on this, in the sense that the role that AI play as a conversation partner is so frictionless, so controlled, that we get none of the rough edges of human interaction that form us into a functional social being. No real quick solution outside of deep, fearful caution when using these things - and we're not going to see that from John Q Public

suncemoje 4 hours ago

Loquebantur 4 hours ago

Human meaning arises in conversation between humans. In them reaching a shared understanding of the world and their perspective upon it.

When you talk with machines, you "outsource" that central human society-building element.

But machines never socialize back in any meaningful way. You gradually lose yourself.

AnimalMuppet 4 hours ago

dspillett 3 hours ago

> Instead of working with humans, I increasingly work with a fleet of agents.

This is why I see myself leaving dev within a year. Remote working is enough of a embuggererance for my mental health and I've be unhappy in work much of the time since 2020 largely due to that, AI will finish me off.

Career suicide and going of to wait tables, or be a hospital porter, or anything else with people even if I'm going to hate those people, with the massive pay cut that entails, will be better than actual suicide after a couple more years trying to stick at it.

There came a point a few months ago where I realised that I had to either accept becoming obscelete or change my while outlook on using AI and trying to catch up. I didn't choose the AI option.

lr4444lr an hour ago

ychnd 2 hours ago

squidbeak 4 hours ago

> Instead of working with humans, I increasingly work with a fleet of agents.

I do too, but it means I have more time in my life to spend with people.

XorNot 19 minutes ago

yummypaint 2 hours ago

It's more important now than ever to hold onto the fact that human beings have inherent value. This exists independent of their ability to generate wealth for an employer. I know HN loves a technical solution for every problem, and so do I, but this is a political problem requiring political solutions.

OroPla 28 minutes ago

coliveira 4 hours ago

No, you don't work w/ a fleet of agents, you use them to do your work.

This is a general issue that is being forced on us by AI companies; AI is not a human being, it is a tool that we can use to do things. We don't have them as coworkers or subordinates, they're objects specialized in language processing. Thinking otherwise leads people to all kinds of existential and psychological issues that in the end make no sense.

azan_ 3 hours ago

dyauspitr 2 hours ago

Personally I don’t care about that all that much. I don’t have any “sacred” inherent value for human beings. If they can make robots covered in real human skin, blood vessels and muscles (lab grown over the robot frame) with an LLM brain at some point in the future, I would definitely prefer that to a human lover.

squidbeak 4 hours ago

> the notion of the thing that grants you status, prestige, and a living wage being commodified would spark in anyone a profound sense of dread.

Not for those without status (which is most people on this planet). But yes, AI is set to wipe out most established hierarchies and their gatekeepers, and to equalize most fields. A profound sense of dread is something most ordinary people live with throughout life, and if AI can reduce systemic unfairness, I bet most people will actually find some degree of relief from that dread. The complacency of the formerly-statused being shocked along the way isn't much of an argument against that equalization.

> Beyond just making you redundant in your job, the whole architecture of your existence, the thousands of hours of struggle, the sacrifice of putting off social games or personal enjoyment are now rendered moot in hindsight.

This passage answers itself, doesn't it? You can sense those things you postponed fun for (work and the apparatus around its struggle) were never worth it. So why fight for us all to have to keep working just to live? Isn't a post-scarcity world the thing we should all be fighting for?

everdrive 4 hours ago

>This passage answers itself, doesn't it? You can sense those things you postponed fun for (work and the apparatus around its struggle) were never worth it.

This is what you don't get. _I_ already know it's not worth it. I've always known. It's everyone else! It's a wife who cares whether or not her husband has a good career. It's the police who care if you look like you're poor. It's the way every single person in society obsessively cares about the status of others.

What in the world makes you think I've had to build up status for my own sake? It's absolutely baffling that anyone could be confused about this.

OroPla 23 minutes ago

saghm 4 hours ago

>> the notion of the thing that grants you status, prestige, and a living wage being commodified would spark in anyone a profound sense of dread.

> Not for those without status (which is most people on this planet)

Look at how coal miners react to the idea of getting rid of coal as an energy source; whether or not you think they have prestige or status, there's certainly an amount of dread there that I'd expect to somewhat resemble the type we're talking about here.

everdrive 4 hours ago

>A profound sense of dread is something most ordinary people live with throughout life, and if AI can reduce systemic unfairness,

I'll keep that in mind. If I'm suffering more than you are, the solution is to bring you down to my level.

anigbrowl 2 hours ago

autoexec 3 hours ago

mzhaase 4 hours ago

AI will bring on the biggest gatekeepers of them all: the ones that own the compute.

bigbadfeline 2 hours ago

> You can sense those things you postponed fun for (work and the apparatus around its struggle) were never worth it.

They were worth it for me and I intend to continue placing them first because they are fun too, in addition to being not only useful but also indispensable in the transition to an AI world in need of proper social sciences and humanities.

While soc-sci and hum-sci are the most needy of renovation, we also need better math models for physics, chemistry, biology, robotics, control theory and what not, I'm glad we have LLMs to assist the competent humans who guide and control them in this task.

Only closed models, with their knowledge rationing, privilege-based access and credentials stealing can be a problem in this picture, open ones can be used and developed further in the right directions.

glitchc an hour ago

Unfortunately, I think this is a human failing being exposed rather than anything else. We like to build conceptual models of how things work, but they are often tinged with should. Reality doesn't care how things should work. It only cares about how things do work. It's always jarring when the should turns out to be false.

Philosophers for millenia believed that human beings had meaning, purpose and set out to explore what that could be. It was a noble profession for a long time. Once we realized that there was no hidden spark, ergo no purpose, the study of and the prestige associated with philosophy took a nosedive. Yes it is still studied but it carries nowhere near the respect it once did. Mathematics seems to be suffering the same fate.

throwaway89864 5 hours ago

It's more or less reverse to the mean. The period in which a people had both access to education and leverage through their labor and intellect is super short. For most of recorded history, the bulk of humanity lived as peasants, serfs, or slaves. They were mostly illiterate, bound to the land or to a master, and had little power to bargain over the terms of their (or their children) lives.

wk_end 4 hours ago

"The arc of the moral universe is long but it reverts to the mean" is somehow less inspiring.

robotnikman 42 minutes ago

>For most of recorded history, the bulk of humanity lived as peasants, serfs, or slaves. They were mostly illiterate, bound to the land or to a master, and had little power to bargain over the terms of their (or their children) lives.

I feel like we should be doing everything we can to not revert back to that way of life.

danlugo92 27 minutes ago

soulofmischief 4 hours ago

I'm too young to be financially secure given my impoverished background, not having parents in my life, being homeless as a teenager, etc. But too old and physically disabled to change course from tech. Nothing to do but keep walking through this tunnel and see where it ends up. It's scary!

rbn3 19 minutes ago

lr4444lr an hour ago

Disagree. Scribes, doctors, bankers, and government clerks always existed, even if the education to do it was expensive and exclusive. For the first time in history, this labor, including its knowledge content might become automated and commoditized.

__MatrixMan__ 3 hours ago

I think the fix is to get started on post scarcity economics now. Sooner or later we're going to have to come up with practices that boost or limit endeavors based on how people feel about them, rather than based on how much money somebody has.

It doesn't have to be ((post scarcity) economics), it can be (post (scarcity economics)). Both systems can coexist for a while, one providing a bit of a safety net while the other falls apart.

epistasis 3 hours ago

There will still be scarcity, just of different things.

Even if we vastly increase productivity beyond our current wildest dreams, the production system takes time to adjust to changes in demand, creating continuous points of scarcity.

But Georgist economics are way ahead of how to deal with this. Tax the ownership/control of things that can not be increased (e.g. land).

__MatrixMan__ 3 hours ago

paulpauper 3 hours ago

HoldOnAMinute 3 hours ago

Counter point: AI is trained on output from humans. We all made AI, together. It belongs to all of us. We use it to benefit us, and we celebrate our wins together.

Jcampuzano2 3 hours ago

"It belongs to all of us"

For the low entry fee of ~$200 a month you too can escape the permanent underclass - which is more than some countries average citizen makes in an entire year.

salawat 3 hours ago

Counterpoint: They request a subscription fee they refuse to reciprocate and will not take "No" for an answer.

__MatrixMan__ 3 hours ago

latentsea 3 hours ago

We'll be free of cancer, and dead on the inside.

cushychicken 4 hours ago

You are made one step closer to complete worthlessness

Nobody's worth is tied to source code output.

joquarky 2 hours ago

Great, I'll just eat good intentions, wear a smile, and live under happy thoughts. I'm 50, so I'm "cooked" as far as contemporary society is concerned.

crassglassass 2 hours ago

0x20cowboy 4 hours ago

The only thing constant in life is change.

0c3ca83 4 hours ago

It would be nice if we weren't actively investing trillions in change for the worse (for most of humanity).

claysmithr 3 hours ago

Change is the only constant

lioeters 2 hours ago

Ar-Curunir 4 hours ago

What a facile statement. Yes things change in life, but as society we try to avoid changes that rapidly render people and their lives worthless.

OroPla 12 minutes ago

HoldOnAMinute 3 hours ago

card_zero 4 hours ago

Incessant shit.

paulpauper 3 hours ago

It's mainly about status. No one cares that much about AI automating drug discovery or coding, but it's bad when it assists in math. Math results are attached to individuals , whereas for cancer drugs or other medical discoveries, it's more of a team effort by a lab. AI now has the effect of turning math into something that is more lab-like and less about the individual.

biophysboy 3 hours ago

Yes, and I think over time there will be a blatant inequality in who is commoditized and who isn’t.

If AI engineers didn’t create the data to produce the models, and they increasingly don’t write the code to produce the models either, then why are they treated as the agents of change rather than the subjects of change, like mathematicians are?

anal_reactor 2 hours ago

When I was a kid I built my entire identity around being #1. I was the most talented kid in school, anything endangering that resulted in an instant identity crisis.

Then I went to college and I understood that there are people who, for one reason or another, are thinking in ways so advanced I'll never catch up. I'll never be the #1. I'm actually much closer to being average than I thought.

But this doesn't mean I should just give up, lie down in my bed and cry. Since then I've learned a lot of skills - most of them being crap at best, but that's not the point. What matters is my own subjective experience. The fact that despite objectively not being good, I see myself as a skilled person with rich life.

Once I was watching a YouTube video about elderly care and there was a phrase along "These people won't achieve anything more in their lives, my goal is to keep them occupied until they die" which is a bit morbid at first glance, but it actually makes so much sense as a life philosophy.

jdmoreira 2 hours ago

You know we (tech as an industry) have done this to a bunch of people already, right?

Thats what "disrupt" meant

coliveira 3 hours ago

I would answer to this that the mathematicians (humans) are the ones who give any meaning to mathematical discoveries. If we don't have mathematicians anymore, the result is that AI can find whatever they want, but 99% of that will be useless waste. Outside of practical applications, the only reason most mathematical results have any interest is that lots of mathematicians spend time trying to find their solution. Once humans stop caring, mathematics done in an automated fashion will also stop having any value, other than its possible use in finding solutions to existing engineering problems.

card_zero 4 hours ago

> bargaining with superintelligence

This part is nonsense, still. There's no known AI -> AGI path, and superintelligence doesn't mean anything, and AGI is assumed to be (going to be) both malicious and a slave, both for no good reason.

aftbit 4 hours ago

It has already been happening for decades if not centuries. Instead of bargaining with superintelligence though, it's bargaining with moronic systems. I watched an airline gate employee struggle to allow a family onto a flight despite acknowledging that they were confirmed and had seats on the plane because the computer wouldn't beep when they waived their boarding passes. She called her supervisor. Her supervisor resolved it not by writing "it's okay they can get on" into an exceptions field, but by kicking them off the flight, putting them on standby, then accepting their standby request and reseating them (in different seats, not all together, for some reason). The humans involved all knew things were okay, but the system was too dumb to just allow them to go forward.

Superintelligence might even help.

keybored 4 hours ago

Nah. There is nothing beyond being made redundant in your job and labor leverage. That is all. It has got nothing to do with resentment over fucking machines. It’s all about people (the executives that you mention) fucking us over. The end. Completely human problem.

I know I’m being sold some bullshit when this is made into something inherently existential and psycho-identitarian. An egalitarian future of labor-worthlessness means that there is nothing above us to dictate anything at all—maybe not even nature itself, save for meteors and other cosmic events. I’m not afraid of being “worthless” in that world of complete freedom. Fuck no.

trevithick 3 hours ago

I am afraid of being hungry and homeless long before society reaches "an egalitarian future of labor-worthlessness" that's good for common people.

keybored 3 hours ago

joquarky 2 hours ago

> I'm not afraid

So how do you plan to maintain food, clothing and shelter when you have no leverage?

littlexsparkee an hour ago

EGreg 4 hours ago

“Worthlessness”

Consider this… in the grand scheme of things, we are on a tiny planet in the universe. What cosmic contribution could you make?

Most people won’t make anything even close to “a ding in the universe”, as Steve Jobs has been reported to say.

So they may as well enjoy their life. And your worth can be to your family, to your children, your parents who took care of you.

Learning a hobby. Practicing religion. Mindfulness and meditation. Doing sports and improving your own body.

Look around if you are a heterosexual man, for instance: many women are far more attracted to men that perform in the moment, than men who labor quietly to create a product. The former enables untold hours of honing social skills and calibration, and humor and performance skills. The latter is of more durable value to society, yet relatively few women are genuinely sexually attracted to a man doing the deep work. (By the way, it is also true the other way: most men are not attracted to women for doing deep work or being a rocket scientist.)

Animals don’t do “deep work” and most animals are attracted for far “shallower” reasons. If everyone has a UBI and AI does the “deep work” then that frees up humans to be like animals in a zoo or in the wild… doing all the displays to attract mates, having babies etc. That’s not nothing — in fact it is 99.999% of everything that happened in history and 100% of what happened in prehistory.

You’re just ceding that 0.0001% which represents technological progress. The actual dread comes from the fact that you and all of humanity will be as completely powerless to change things as cats or any random animal species is powerless now. The difference is you will perhaps understand your powerlessness more than they do. But in the good scenario, you’ll be like animals in a zoo. We are constructing this zoo for ourselves now.

We will remain on this blue planet while the AIs will colonize the universe. In fact I wonder why aliens would ever come to Earth, when they’d just send their AIs or robots. Look at this: https://news.ycombinator.com/item?id=46200502

tatjam 2 hours ago

As Ernest Becker would ask, then what is your "immortality project"? Even worse, what's the immortality project for the vast majority of humanity? Do we just bring back religion to Middle Ages levels? Or do we hope everybody goes through some kind of never-before-in-history spiritual awakening?

ychnd 2 hours ago

"If everyone has a UBI" - isn't that quite a big "if"? And also - how soon would it come? Soon enough for families losing their income?

bamboozled 4 hours ago

For me the most obvious conclusion is, use your maths skills and get into open source AI.

Make AI as cheap and accessible to as many people as possible and we will likely be much better off.

The more people empowered by the tech the less like you will be “redundant” in the way you describe. You will own the important tools only the techno oligarchy own today…

Would you feel the same if you were a part owner of OpenAI? I bet you’d feel excited about the money you’re about to make ?

oliver236 4 hours ago

isn't math skills really just pattern analysis and creativity? how is this limited to just the math domain? why are mathematicians worried?

caaqil 5 hours ago

> How is one to feel safe in the progress of the future when the only hints of the wonderful post-scarcity utopia we can quantify so far is the removal of all human leverage via their labor?

I'm sure the Telegraph operators, human calculators, mine workers and all sorts of people have asked themselves this question. It's obvious that it feels strange to suddenly be part of the cohort asking but I assure you it's not new. And the answer hasn't changed much since.

rad-b 5 hours ago

And like to anyone else who hints that “automation creates better jobs”, I have to add: but not for us. Maybe for the next or the generation after that.

Industrial and technological progress has birthed better conditions overall, but at a cost of locally worse ones. Mine workers that got displaced didn’t end up being machine operators - most of them landed on benefits or sporadic gig work. Only the next generation was able to be properly trained and educated to be able to benefit from the technological advancement en masse. And we might see that happening again.

nifets an hour ago

the_af 4 hours ago

> I'm sure the Telegraph operators, human calculators, mine workers and all sorts of people have asked themselves this question. It's obvious that it feels strange to suddenly be part of the cohort asking but I assure you it's not new. And the answer hasn't changed much since.

I don't buy this argument, much like I don't buy the similar "they said the same when calculators were introduced".

It negates that some changes are qualitatively and scale-wise different. Also, by gradually chipping away at things that humans do, you (we) keep shrinking and shrinking until there's nothing left, every step of the way some people claiming "well, the telegraph operators said the same". Keep in mind that, while it's hyperbole, some AI entrepreneurs are actually saying stuff like "maybe jobs will become a hobby". Unrealistic for now, maybe, but if they do become a hobby, what leverage will we have at all?

In other words, it's true the past is worth keeping in mind, but not to the exclusion of the possibility that this time it's different. Or that the trends of the past actually point to harm in the near future.

manmal 3 hours ago

> the removal of all human leverage via their labor

I’m not convinced at all that SI will ever be able to produce the correct result with little input. The advancements in capability I’ve seen in models is that they understand my intention better, and follow industry best practices better, so their output is often acceptable. But I absolutely have to make my intentions known, as detailed as possible, or I will get the mediocre, standard solution that falls out of the weights.

I’ve been having trouble with models always steering towards certain solutions - they insert a queue here, a mutex there, a backoff over there. If I remove those, and let the model freely rebase the PR stack, then it will re-insert those mechanisms because it has been specifically trained to do exactly that. It’s essentially boilerplate, smoothly aligning my codebase to match their weights. Which is often good enough! They are training the models well. But individual problems require individual solutions.

My personal take on the human part in all this is: We get to decide, and the models obey. Our decisions are now super leveraged. So let’s make good decisions, and communicate them well. The layer of where decisions yield the most leverage, has been pushed upwards (I see it on the type and function signature level, others will see it even higher), but IMO it won’t be possible to push it up much further without losing truth to the decisions we need to make for a good product.

ozozozd 4 hours ago

I can kind of relate but I feel like I am mourning something different: the loss of the desire to seek truth in tech, math etc.

Nothing is validated or tested anymore. It’s all about the shape or believability or even how loud it is.

They dropped 100+ papers no one read. I am sure mathematicians are reading them now but even this forum has concluded that these problems are solved, without reading or validating.

It’s like everyone forgot “don’t believe everything you read on the Internet.” And it makes for a very boring discussion when everyone is just spewing unvalidated claims, layering them with strong beliefs founded on similarly unvalidated claims. It’s dull, without substance and just pure noise.

ederamen 2 hours ago

> I feel like I am mourning something different: the loss of the desire to seek truth in tech, math etc.

This is what I've been feeling too. It feels increasingly like the professional world has become a tower of scams. It's not worth building technical skills or focusing on quality; your boss doesn't know or care what good work looks like, he/she just wants your work to look good enough to his/her boss, who knows even less about the actual work being performed. And everyone reports up to an MBA CEO who was brought in from a completely different industry.

I want to work in an industry where skill, diligence and expertise is rewarded and respected, but from what I'm seeing political ability is 95% of the game and caring too much about the work is a career liability.

slow_typist 4 hours ago

+1 We need human verification.

soVeryTired 3 hours ago

Not sure I agree - they dropped hundreds of papers, most of which were so badly written that they were incomprehensible. If it wasn’t for the lean certificates on 30% of them, the mathematical community would have told them to go and whistle.

I think the consensus here is that most of the papers are effectively correct. But it would take years of study just to understand most of the problem statement - so we have to wait for the mathematical community to digest the borderline-nonsense that OpenAI spewed out.

jp0001 2 hours ago

Most likely that they look really correct and are not and require immense effort to understand, if even possible, to disprove their claims.

What we have is a DoS in research verification.

anigbrowl an hour ago

Xenoamorphous an hour ago

RGS1811 8 hours ago

This piece circles, without naming it, around the concept of “deontic scorekeeping” central to the work of Robert Brandom on semantics. The idea that our ability to create and sustain conceptual systems depends on the give and take of reasons within a social setting. Brandom has been front of mind for me lately because elements of his theory both explain why LLMs should work in principle, and where they are bound to be radically deficient. An LLM encodes the normative regularities of our linguistic/conceptual games into its weights, but it cannot be a real participant in our games because it is incapable of staking durable commitments or changing its dispositions over time.

Worth reading: Robert Brandom, “Making It Explicit: Reasoning, Representing, and Discursive Commitment”

fritzo 6 hours ago

> An LLM ... cannot be a real participant

The participant is not an LLM, the participant is a company. The company learns. It adapts. It has a trillion dollars of skin in the game.

vector_spaces 6 hours ago

I mean, many companies operate within particular domains but don't have much skin in the domain itself in a way that is meaningful to other participants there -- like Oracle builds software for healthcare, ostensibly, but any actual user of their products will tell you they are nightmarish with regard to usability, and research shows that patients are often harmed as a result. So healthcare isn't their game, it's selling healthcare software.

Likewise OpenAI doesn't have "skin" of any shape or value in e.g. the mathematics community or even in mathematics research per se. In my cynical view, they are exploiting the exposure of mathematical research to automation in an effort to create a case study of their product obsoleting a highly visible and well-leveraged and relatively small profession. Regardless, I doubt even they would say they have durable skin in mathematics in any sense, certainly not in either of the senses I mentioned above. But their output inhabits the same space as mathematicians, who have to contend with the consequences

throwaway89864 5 hours ago

JumpCrisscross 4 hours ago

> The company learns. It adapts

And potentially steals [1].

[1] https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_priority...

joquarky 2 hours ago

skrebbel 4 hours ago

> The idea that our ability to create and sustain conceptual systems depends on the give and take of reasons within a social setting.

I read this sentence 5 times and I still cannot parse it.

6gvONxR4sf7o 4 hours ago

I think it means if we all have to justify ourselves to each other, we collectively come up with an sustainable ecosystem of ideas that we can understand. So if we stop justifying ourselves to each other, the ecosystem doesn't get built or sustained, and we stop understanding things. Not the person you responded to, but that's my reading.

sigbottle 5 hours ago

What a coincidence, I've also picked up inferentialism but never really got into it.

I'm interested in the reversal that Sellars proposes - it seems clear to me that "representation" is not prior to the space of reasons, despite how unintuitive it is.

> An LLM encodes the normative regularities of our linguistic/conceptual games into its weights, but it cannot be a real participant in our games because it is incapable of staking durable commitments or changing its dispositions over time.

I see no reason why this can't be the case in the future, even though I think inferentialist-based theories are generally strong. Can't you force LLM's (or whatever AI architecture will exist in a decade) to stake durable commitments itself, then? They're at least autonomous enough to run computers. I agree that that is a core part to true meaning & autonomy, but nobody just lets them yet. I don't think inferentialism is a consciousness-based argument, either, so that escape hatch isn't available. I also don't think this is a necessary condition to engage in the space of reasons (but maybe then I'm misunderstanding it, or retreating to a more Sellarsian understanding). Could you explain on this more?

Though again, I only have the book sitting on my desk, and I haven't cracked it open...

RGS1811 5 hours ago

I actually agree with you. LLMs could become participants in the future, but this would require (1) durability of real awareness over time (an architecture change from the current fixed-weights + transient context architecture) and (2) that humans grant them the status of equal participants (probably not a terribly high bar given how people already treat these things). I'm not aware of any real progress toward (1), and all the stand-ins people have developed live in the context layer or textual artifacts, which are poor stand-ins for durable memory.

And yeah, consciousness based arguments are bunk IMO. It's clear that LLMs are in a basic sense "aware", and even to some extent "sapient" (in Brandom's usage), i.e. they can justify claims and object to things at least locally. I follow Rorty on the question of consciousness, which is to say that consciousness has no deeper meaning in practice beyond "are you awake", and in philosophical discussion it's largely a proxy for "are you one of us" in some amorphous sense.

PaulDavisThe1st 4 hours ago

BatmansMom 5 hours ago

This sounds super interesting but 477 pages is a beast. Would you recommend anything about this subject thats a bit more approachable?

RGS1811 5 hours ago

Brandom wrote a shorter version of the book, called "Articulating Reasons", which is available in full on his faculty page [1], or from booksellers. He's a very wordy writer (kind of exhausting to read, even for someone who enjoys philosophy), but if you get ahold of Making It Explicit, chapters 2 and 3 have the meat of the ideas I'm talking about here.

[1] https://sites.pitt.edu/~rbrandom/Courses/2022%20Phil%20of%20...

Edit: One of my ways of benchmarking new AI models is actually to type a version of this prompt in and see how sophisticated the response is: "Talk to me about the concept of deontic scorekeeping in the context of llms". You'll get good mileage out of that.

sean_pedersen 5 hours ago

Ok what about memory systems though (basically LLM modifies its own RAG context) - that should allow commits and changing dispositions over time?

Avicebron 5 hours ago

RAG context memory and modifying the weights are two different things. As far as I know, models can't modify their weights reliably.

layer8 5 hours ago

Humans change over time due to what they experience. It’s different from waking up from a ten-year coma and having access to a record of what happened to yourself in an alternative timeline where you didn’t fall into the coma.

lupire 5 hours ago

bongofizzbuzz 6 hours ago

I think in future, each company will built its own universe of mathematics consisting of prized discoveries. Maybe one Mathematical Universe per Company in the multiverse of mathematics.

NooneAtAll3 7 hours ago

tbf naming something "deontic" is not helpful

RGS1811 7 hours ago

The irony of complaining about an academic jargon word in a thread about mathematicians.

feoren 6 hours ago

simianwords 7 hours ago

I don't think that's true. Why is it that I see more people using "shaped" and "load bearing"?

RGS1811 7 hours ago

Because language is mimetic, and people are consuming huge quantities of AI-generated text. I.e. saying that an LLM can't be an equal participant in our language games isn't saying that it can't play by the rules. In fact that's what LLMs are trained to be best at.

What an LLM can't do (at least with the current architecture) is sustain a commitment that it can be held accountable for later. It doesn't have durable "perspective". It can't update its priors. Maybe a new architecture will come along that gives LLMs memory plasticity, at which point they will shift into being individuated quasi-persons, but that's not what we've got now.

I've written some about this here, if you're interested: https://elliotmilco.substack.com/p/deontic-scorekeeping-comm...

itsalwaysgood 7 hours ago

calf 4 hours ago

itsalwaysgood 7 hours ago

It would only be true if you consider Mathematics and Language to be the same thing.

Both depend on Logic, which is where "deontic scorekeeping" comes in. You can only establish something (score) is true and believable by 'keeping score' and having some level of understanding about the language or math you are reading.

The article is mostly referring to the connection that comes from shared understanding between humans, particularly mathematicians, as they build new shared understanding, and realize there are limits to what they can know and 'leave behind' logic for others to pick up and carry on.

That connection has been severed, or strained a bit, but I'm sure new ones will be created. It just might be of the same flavor that mathematicians prefer, therefore they weep.

And if I understand "deontic scorekeeping" correctly, these forums are a better representation of the concept. You will lend some amount of belief to what is said/read based on what you know.

contravariant 6 hours ago

Ideas are contagious and AI is our most powerful vector yet.

I suppose we would see some interaction with AI in that sense, but it'll take place over the course of learn cycles and when AI starts ingesting its own ideas it typically goes wrong somewhere down the line.

KaiserPro 2 hours ago

I think for me is, that history is not kind to the people who are left behind.

For example, weavers were one of the most powerful professions (if thats a thing) in the middle ages. In england there are the wool churches(not entirely weavers....), in the low countries, the weavers guild fomented revolutions, and shaped the borders of countries.

But that came to a crashing halt over the space of 200 years. slowly at first, then all at once. the power loom, then cheap imports from india turned a cottage industry into dark satanic mills. Yes there are/were specialists that still hang on, but they are like football stars you can probably name all the people who make money, the rest are barely scraping by.

For us, in the programming world, we will not have a 200 year grace period. Yes, AI produces shit code, but thats not the point. its cheaper and there are vanishingly small places were "good" code matters anymore. AI could be used to help a large range of people, provide support, trusted advice.

However because of the people who are funding it, that will not be the case. it will be used to reduce wages. Just like offshoring, resulting in china being the worlds manufacturing hub, AI, and the current people funding it will aim to make the expensive worker redundant.

In short, I weep, because Altman, and the money behind him ans his ilk want me destitute. I have committed the crime of wanting to earn a wage, and thus I must be punished.

littlexsparkee an hour ago

It's profit chasing as well as practical - it kneecaps the educated workers increasingly asking questions about the morality of business and technology. It takes away the income that affords them the space to push back, threatens high ed, critical thinking. The salivating over AI makes perfect sense in that context.

anonymousDan 9 minutes ago

So how do we push back?

oxag3n 5 minutes ago

Heard from one mathematician recently - math is not about problem solving, but about the artifacts that are produced in the process. The new Navier-Stokes solution for singularity isn't worth a million, it supposed to generate new mathematical methodologies, tooling and lead to additional discoveries, like the graph theory.

randcraw 7 hours ago

I think Thompson has no understanding of endeavors like pure math or the theoretical sciences. In the words of Einstein, "I want to know how God created this world. I am not interested in this or that phenomenon, in the spectrum of this or that element. I want to know his thoughts; the rest [is] just details."

I think mathematicians aren't bemoaning their lost sunk costs. They're now aware that they may never again have the joy of being the first to pull up the edge of the tarp of ignorance and see the raw truth beneath _for the first time_. Their voyages of discovery, which give life meaning, may never leave dry dock again.

aatd86 5 hours ago

It is strange, because in a sense, when you start learning math, you never explore, you are being taught. Now mathematicians were able to exercise curiosity. That is going to change. Back to the ranks of eternal learners if you will. The fun was in the research. Now I think it will leave the door open toward more Applied math. What can people do with all the discoveries. The curiosity will be there. I think it is better that way. It will also put a cap on abstractions that overlaps. In essence, AI is less likely to create new theories, coin new terminology, etc. But it is better suited to recognize emerging patterns. That will probably simplify mathematics. Unless the domain of abstraction is infinite and with each new abstraction comes its own results but I doubt it. Who knows though...

JumpCrisscross 5 hours ago

> they may never again have the joy of being the first to pull up the edge of the tarp of ignorance and see the raw truth beneath _for the first time_

Until we can demonstrate AI consciousness, “seeing the raw truth” will be a human activity. Even now, verifying and understanding these AI proofs is a massive endeavor. Coming up with an intuitive (to humans) distillation of the finding remains an open challenging demanding expertise.

fl4regun 5 hours ago

i think to certain types of people (who are probably more likely to be mathematicians), the "self" discovery aspect of it is important, they don't want to read about a new proof for a problem they were grappling with, they want to come about it through their own thoughts.

halfmatthalfcat 4 hours ago

pessimizer 3 hours ago

> Until we can demonstrate AI consciousness, “seeing the raw truth” will be a human activity.

I don't think this matters a bit. We individually can't demonstrate "consciousness" in other humans, it's not even a word with a definition. What we can do is miss the feeling of discovering something on one's own rather than having it explained to you over and over again until you understand it.

I mean, dead mathematicians are definitely not "conscious," but their books keep you from discovering things that you may have discovered yourself if left to your own devices.

The joy that was mentioned is the joy of knowing a bit of gossip that no one else knows, of being the first explainer. Interpretation is just being able to pass gossip on; a decidedly lesser joy. And there's no reason that AI shouldn't be able to explain findings in an intuitive way - LLMs at least purely operate based on human intuition as written in human communications and then captured in matrices.

If these proofs are good (doubtful, imo) and can be reduced (intuitively distilled, sorry), there's no reason that an LLM shouldn't be able to do that.

random3 6 hours ago

That's such a nice way to put it! I recently stumbled into "The Last First- Winter K2"[1] and saw the same spirit along with a similar misguided effort to win without the will, nor capacity to do it — e.g. influencers taking a stab at K2 is like prompting your way to results.

1: https://en.wikipedia.org/wiki/The_Last_First:_Winter_K2

RandomLensman 5 hours ago

Why is not like changing to a different type of vessel for the voyage? Unless and until it is all AI in closed system, could direct machines where to look etc.

lupire 5 hours ago

Climbing a mountain is different from flying a helicopter to the top

RandomLensman 4 hours ago

deadbabe 5 hours ago

ThrowawayR2 3 hours ago

I'll say it again: AI is capable of answering the questions put to it but AI is not yet capable of knowing which questions are worth asking. Mathematicians have no cause to weep, they will be fine.

dragontamer 2 hours ago

Most of these questions Mathematicians posed to each other have no practical application, and probably will never have a practical application. (ex: the solution to the Navier Stokes question doesn't change anything at all.)

In many ways, the teleporting machine that teleports to the solution is against the point of the questions. No one wants the solution to be "Run $10,000,000 worth of tokens to cover all possible Lean formulations of the problem".

I think for Mathematicians, I'd say that the human level formulation is still possible and with a new perspective. We as a society (and outside of Mathematics) need to also understand that this AI teleport to the answer thing has less value than we all expected. The value is in the journey.

The open question is if people will still want to take the journey if the teleport machine exists. Or if the existence of the teleport machine halts exploration.

cubefox 7 hours ago

> The story of human discovery and the triumph of the human spirit will soon be excised from this discipline. The Dinitz-Garg-Goemans counterexample was the most egregious demonstration. It revealed that the process of prompting novel proofs will be as auraless as ordering doordash. Watch as magic and mystery evaporate. Watch as the sun sets on our heroic age. Is there not something evil in the act of blocking all future generations of mathematicians from the experience of discovery? Forget about accuracy or even attribution. Something fundamental to the experience of mathematics is being taken.

> You are a helpless onlooker. Before you a channel through which humans have accessed the ineffable and sacred for thousands of years is being sealed for eternity.

https://kirwinhampshire.substack.com/p/the-dark-night-of-mat...

momojo 6 hours ago

As someone with friends in the mathematics community, they've expressed similar sentiments.

I have to wonder if this is the equivalent of teleporting back in time and finding Marco Polo or any of those early explorers who traveled for the love of the game (and fame and money), and opening up Google Maps on your phone and showing them the zoomed out world. And showing them any island or village they could name.

karahime 6 hours ago

This is absurd and silly. Discovery doesn't go away because more new things are being discovered. This position only makes sense if you make an arbitrary cut point where some instances "don't count". If you were to go back to scientists or mathematicians several hundred years ago and tell them that one day science would be done by tens of millions of full time researchers around the globe, often working in teams, some of them might also bemoan the loss of the "hero scientist" as any commoner could now participate. But science and math have only benefited from this, and this has increased, not decreased, the beauty and wonder in these fields.

reasonableklout 4 hours ago

wslh 6 hours ago

> They're now aware that they may never again have the joy of being the first to pull up the edge of the tarp of ignorance...

Not "never again", it would be extremely difficult but science and math are also built on random, trial and error, and intuitions that could not arise from AI.

ArcHound 5 hours ago

That's the issue - trial and error. A human can try a couple ideas in a day, but realistically, there are not that many sane ideas.

Computer can iterate without frustration on a completely random garbage. Once in a while it stumbles upon a gem. Even if it's one in 10000, that's still hundreds of good ideas in a day (provided enough GPUs).

wslh 5 hours ago

antics 3 hours ago

> “Google Translate is amazing, but it has taught us essentially nothing about linguistics,” Strogatz said. “We don’t understand why it works. It just works. That’s the Twilight Zone. It is knowledge without understanding.”

This is not true, and it is the crux of an enormous debate we're now having across many, many fields.

Classical Chomskyan syntax (which models sentences as parse trees) has been enormously, astonishingly predictive of the rich structure in real-world human language. But we are quick to forget that we invented concepts like "words" and "noun phrases" specifically to help us analyze and predict things about human language. What LLMs and modern MT shows, definitively, is that there is another, totally separate way to describe these phenomena, which is both vastly less descriptive, and also vastly more predictive.

That these appear to trade-off is unfortunate, but it is NOT the case that we "don't understand why it works." We absolutely understand why it works, if we didn't understand we would not be able to improve these systems. What we do not have is a clean, descriptive theory that boils this down to something that is formally specifiable and analyzable. But those are different things, and this is the root of the disconnect between many communities working in and around these spaces (linguists vs computational linguists; mathematicians vs computational mathematicians; mech interp people vs empiricists).

Mali- 3 hours ago

"We absolutely understand why it works, if we didn't understand we would not be able to improve these systems" - Understanding how to improve something does not require understanding how it works.

Growing a plant does not imply understanding soil minerals or photosynthesis. Training a dog does not imply understanding it's brain. Using LLMs to improve a codebase does not imply understanding C++. Improving a PC with new parts, does not imply understanding RAM.

You can understand abstractions about the system, without understanding the system. Without gradient descent or other forms of automatic optimisation, do you think humans could build something as capable as GPT-1?

antics 2 hours ago

Not sure if this will bake your noodle or not, but yes this is basically my point. Saying I understand how dog training works has very little overlap with saying I understand how the dog brain proteome works, even though they're related, and even though I might (or might not!) understand better how to train my dog for having fully understood the proteome.

Saying we understand training and deploying machine translation systems that have strong predictive (rather than descriptive) power, apparently has very little overlap with defining a formal, analyzable, mathematical model of language. Mathematician who refer to "understanding" generally mean the second thing, but the first thing is also a kind of understanding. Just messier.

IshKebab 2 hours ago

I think they're referring to the fact that neural networks are more or less black boxes. Their internals are blurry and not explainable in the same way that traditional linguistics tries to explain things - with rules.

Of course, ultimately that's because language itself doesn't follow simple rules like linguists would prefer. They're more like guidelines.

antics 2 hours ago

Yes, that is one of the points I am making. Chomskyan syntax is a strongly descriptive theory that is entirely ex post. MT and LLM systems are strongly predictive and have no descriptive theory. It is completely wrong to say the first is "understanding" and the second is not. They are both different types of understanding. In particular, Chomskyan theory clearly does not represent enough "understanding" to predict real-world English sentences with similar lucidity to that of LLMs.

izzydata 8 hours ago

I still think mathematicians are going to be as important as ever. The LLMs are only finding what was technically possible given our current breadth of knowledge after brute force solving problems. Eventually it will run out of things that it can do with its training and the only way to get it to do more will be training it on new human found knowledge.

Finding that new knowledge may be exponentially more difficult, but it will be much more valuable.

FabHK 7 hours ago

> Eventually it will run out of things that it can do with its training and the only way to get it to do more will be training it on new human found knowledge.

How do you know this?

astrobe_ 4 hours ago

AIs cannot invent things like cubism, surrealism or hip-hop.

Or maybe it can; the early image generators famously did output horrific images sometimes because of their limitations, but these outputs qualify nonetheless creations.

Now the interesting thing is that it is humans who evaluate them as horrific, worthless or interesting.

Certainly AIs could pretend they have that sort of opinions and judgement, but hopefully humans will remain more interested in the opinions of other humans.

0c3ca83 an hour ago

izzydata 7 hours ago

I don't see how its output possibilities could be infinite given a finite set of data. Taken to the extreme if you give an LLM only a single piece of information then that is going to be the only thing it can produce. Given it two pieces of information and maybe it can produce every combination of those two things. Given all of the worlds knowledge I'm sure its possible outputs are incomprehensibly large, but still not infinite. Then having its outputs match a set of really specific instructions is going to be a small subset of that.

mahkoh 6 hours ago

FabHK 7 hours ago

dfdydx 7 hours ago

IshKebab an hour ago

bluebands 7 hours ago

AlienRobot 5 hours ago

none_to_remain 6 hours ago

I liked reading an essay by mathematician Nestor Guillen that develops thoughts along these lines - the "convex hull of ideas".

https://birdsnfrogs.github.io/2026/09/12/Felix_qui_potuit_re...

hn_throwaway_99 4 hours ago

Yeah, I think that's a great essay and it really helped clarify some of my own ideas.

At the same time, I think it's pretty amazing how this is the fundamental question of AI's trajectory, yet people on both sides seem so sure of their viewpoint with little actual evidence or data to back it up.

That is, it's possible that LLM-based approaches will be forever limited to this "convex hull" of current training data, and thus humans will always have a role to play (and will retain primacy when it comes to overall intelligence), because it appears that humans are not limited to this convex hull based on previous discoveries (e.g. I think basically every scientist would argue Einstein's general relativity was outside the convex hull that existed at that time).

Yet, if LLM-based approaches are eventually able to surpass humans on this "novel discovery" axis, then we as a species are basically done for when it comes to intellectual primacy - and then it becomes a very strange and scary world. And many AI researchers at the top companies clearly believe current approaches will scale and eventually (pretty soon I'll add) lead us to RSI.

I have no idea which side is right, and I'll admit I really hope LLMs eventually hit a wall. But again, I just am surprised that many seem to be putting forth their beliefs, but I would love to know if there is any good evidence one way or the other (or better yet, a more concrete and verifiable definition of the "convex hull" so that researchers could provide some falsifiable examples).

d0liver 8 hours ago

Came here to say this. What AI is doing with math is essentially fuzzing, but looking for valid inputs that solve a problem and the inputs are mathematical abstractions. It's a cool approach, but AI doesn't understand what's going on, and without understanding it won't be able to create the next generation of mathematical abstractions needed for the next generation of proofs.

antves 8 hours ago

this is assuming that humans can be original in ways llms won't be, which I doubt will hold true

hn_throwaway_99 4 hours ago

> which I doubt will hold true

Why?

RALaBarge 3 hours ago

fantasizr 8 hours ago

aren't mathematicians needed to create the problems? Everything solved so far is a question posed by a human. Which is probably why cracking diseases is more difficult (apart from man made viruses :/)

vdietrich 2 hours ago

Oxytocin is one of the oldest molecules in the world — it created sexual reproduction, a very long time ago. "Our capacity to relate and to care for one another" looks a lot like oxytocin, which therefore belongs to all of us who reproduce sexually. There is nothing stopping artificial intelligence from making us humans return to "relate and to care for one another." Hugging, talking, laughing, dancing. Trusting, being trustworthy. Sex, relationships.

You know, I think Yuval Harari hit the nail on the head when defining humans as those mammals capable of gathering in groups of more than just a few dozen, by being able to believe in abstractions — like "a country," "being a fan of a soccer team," a religion, etc. Harari mentions how difficult it would be to keep forty thousand chimpanzees well-behaved in a stadium, and yet we humans do that every single weekend.

Which abstractions will we believe in, with or without AI? I think this part isn't really under attack. Nor is our capacity to relate to one another under attack.

So both our relating-animal side (oxytocin) and our human side (believing in shared abstractions) remain untouched. They aren't being replaced by anything.

What are AIs — much like what ChatGPT did with mathematics — actually replacing?

Something else. But neither our capacity to connect with one another nor our ability to gather in the thousands, millions, or billions around abstractions. Just my two cents.

Great article!

(My thoughts on similar topics: https://blog.vladi.dev/en/articles/mudando-o-ponto-de-equili...)

0c3ca83 an hour ago

Your assessment is depressing -- the thing that makes us special has gone from "thinking", "curiosity", "understanding the world" to "we don't kill each other when gathered in a stadium".

vdietrich an hour ago

That's a fair point of view. It's Yuval Noah Harari definition, not mine (Sapiens book, 2nd chapter):

"Ants and bees can also work together in huge numbers, but they do so in a very rigid manner and only with close relatives. Wolves and chimpanzees cooperate far more flexibly than ants, but they can do so only with small numbers of other individuals that they know intimately. Sapiens can cooperate in extremely flexible ways with countless numbers of strangers. That’s why Sapiens rule the world, whereas ants eat our leftovers and chimps are locked up in zoos and research laboratories."

(...)

"You could never pack a thousand chimpanzees into Times Square, the United Nations, the Vatican or the New York Stock Exchange. You would get pandemonium. By contrast, thousands of Sapiens regularly congregate in such places, and they usually produce orderly networks and trade rather than violence and chaos."

---

And the passage I recalled from memory is actually from a TED Talk ("Why humans run the world", 2015 - https://www.youtube.com/watch?v=nzj7Wg4DAbs&t=231s)

"If you try to crowd 100,000 chimpanzees into Wembley Stadium, or into Oxford Street, or into a church, or into a school, you will get complete chaos. But you can put 100,000 humans together in Wembley Stadium, and they will usually behave reasonably well, watch the match together and sing along."

---

But I’m not giving up on your celebration of our curiosity.

Speaking of curiosity, I’d bring Peter Gray and his "Free to Learn" book into the conversation.

Take a look at the second of the five characteristics of play that Peter Gray proposes:

"Play is activity that, from the conscious perspective of the player, is done for its own sake more than for some reward outside of the activity itself. In other words, it is behavior in which means are more valued than ends.

When people are not playing, what they value most are the results of their actions. [...] When people are not playing, they typically opt for the least effortful way of achieving their goal.

In play, however, all this is reversed. In play, attention is focused on the means more than the ends, and players do not necessarily look for the easiest routes to achieving the ends. Play often has goals, but the goals are experienced as part and parcel of the activity, not as the primary reason for the activity. Goals in play are subordinate to the means for achieving them."

Using Gray’s definition, mathematicians might actually be mourning the loss of play — the process itself, the thinking, the exploring — rather than "just" reaching the final result (via ChatGPT).

Is this a valid way of looking at it through Peter Gray's lens?

0c3ca83 an hour ago

flowerlad 8 hours ago

As a software engineer it is hard for me to feel sorry for these mathematicians. Software engineers are getting laid off because of advancements made by AI. Math researchers are employed at universities, and universities aren't laying off mathematicians now that OpenAI has solved some of their puzzles. Mathematicians can still feed their families, software engineers displaced by AI can't. Yet I see far more of these blogs about the plight of mathematicians, not enough about the plight of software engineers.

SoftTalker 6 hours ago

When software engineers spent the last 50 years eliminating the work of clerical, secretarial, and dozens of other back-office functions, were they concerned about how those people would feed their families? Do you think anybody but other software engineers feels any sorrow for them today, now that they are facing the same fate?

torben-friis 6 hours ago

While I mostly agree with you, there's an argument to be made that classical programming tended to eliminate the mechanical parts of work that people hate doing, while AI is removing the intellectually stimulating part.

It's not fun to think of a future where knowledge workers become irrelevant in society and we're back to just physical work and managerial elites.

SoftTalker 6 hours ago

econ 6 hours ago

mannanj 5 hours ago

That wasn't software engineers eliminating that work. And neither is it today AI eliminating software jobs. Let's name the straw man in the room: it's humans displacing humans, and extracting the value for themselves.

Just like in past history.

Yes, it sucks, for software engineers, those in the past, and those in the future. As long as you and others fall for the straw man perhaps you and others will get more and more tricked and hurt, misplacing your aggression and hatred on each other rather than those receiving most of the extracted value.

SoftTalker 5 hours ago

hgs3 5 hours ago

What an asinine comment. Do you think I, as a software engineer, am sitting around twirling my mustache, cackling as I plot to destroy livelihoods? I'm trying to make a living like anybody else. I've had my own opportunities lost to outsourcing and H-1B's since day 1.

The economist John Keynes predicted almost 100 years ago that technological advances would lead to a 15 hour workweek. If AI now makes you 5x as productive, then why aren't you working 1 day a week for the same pay? Why didn't Keynes' vision come true.

zajio1am 4 hours ago

11101010010001 4 hours ago

ksd482 4 hours ago

slopinthebag 4 hours ago

vector_spaces 7 hours ago

There are orders of magnitude fewer mathematicians with full time academic positions than there are software engineers. The economics are different and consequently academia tends to be more slow moving in reacting to market trends. It doesn't mean it isn't coming, but it will look somewhat different

I don't personally grieve for the likes of Strogatz or Tao, it seems likely both of them will be fine however this pans out. But many more mathematicians have been toiling away in precarity and obscurity and without tenure for years and years. And of course many mathematicians went into private sector roles as software engineers, actuaries, analysts, ML engineers and similar, and have been displaced there, too.

And highly visible blog posts written by famous mathematicians with large audiences and closely aligned with the news and hype cycles getting frontpaged on HN doesn't mean that mathematicians are disproportionately whiney, nor that software engineers aren't also writing about their plight or ending up on the front page as well.

max_streese 7 hours ago

To me this goes in the same direction as people not feeling sorry for software developers because our job is supposedly automating the job of other people (which I don't think describes the profession accurately as a whole at all).

Neither sits right with me. Can't we just all collectively acknowledge that we have to grapple with this new piece of technology that either is already or at least seems to be going to be hurtful to a lot of individuals?

Instead of looking at the in comparison limited group of people currently pushing this technology and asking ourselves whether we should be on board with their doing, we look to one another and are happy that someone else is now suffering just the same as we are. What a sad state of affairs.

beng-nl 4 hours ago

I agree with you because I so thoroughly understand what mathematicians are saying. Expertise and knowledge developed over decades, previously unique and marketable, and status conferring, are threatened in their relevance because of ai.

I know this intimately because I identify, roughly, as a programmer first and security researcher second. Guess which two fields ai companies decided to specialize in first? Yes, the FML ones.

The intellectually rewarding part of my job/skills - the only reason I enjoyed them - are, not completely gone yet, but threatened. And shrinking. This is a very scary observation.

I know from ‘isomorphic situations’ lessons in history that fighting the tide is pointless. I have to decide intelligently how to respond. Easier said than done when your livelihood and identity are at stake.

For now I still have a job but I and everyone around me is worried. In a year, At best our jobs will be very different.

So yes I empathize with these mathematicians enormously.

paulpauper 2 hours ago

hn_throwaway_99 4 hours ago

100% agree. The comment you are responding to is basically playing "victim Olympics".

AI is going to suck hard for lots of professions, software engineers and mathematicians included. I think it's much more productive for folks in these professions to show solidarity with each other given the way AI will disrupt their livelihoods, rather than showing disdain based on who you think may have it slightly better.

hashmap 6 hours ago

As a software engineer? The career whose very reason, largely, for existing in this market is to automate jobs, with few notable exceptions? That one is somehow deserving of sympathy and that of mathematicians is not? Come off it. The notion is undignified.

achierius 4 hours ago

A few notable exceptions?

Are phones an "automation of existing jobs"? Maybe couriers (??), but most of what people use them for goes far beyond that.

What about the software used to drive trains or autopilot planes? We still have conductors and pilots, but now the outcomes are safer on average and more efficient.

Or something like Google Maps -- all that replaced was the paper booklet people used to keep in their cars, it's not like we used to employ 'navigators' to go out on a road trip.

Or something like Intuit QuickBooks: there's still an accountant in the loop, and if anything more accountants today than there were a few decades ago.

Certainly some software is essentially automatory in nature. But to characterize 'nearly all' as being such just betrays a lack of awareness for the rest of the field.

> That one is somehow deserving of sympathy and that of mathematicians is not

He didn't say that mathematicians aren't deserving, he was griping that people said this about SWEs. Do you think mathematicians are deserving but SWEs aren't?

KolmogorovComp 3 hours ago

hashmap 3 hours ago

BeetleB 6 hours ago

This is a silly analogy, and you're comparing very different entities.

Say you have a friend who likes making music (not professionally - just a hobby).

If an invention came out tomorrow that took the joy completely out of making music, would you respond with "It's hard for me to feel sorry about you."

Just because things suck for you doesn't mean it can't suck for others (in different ways).

curt15 8 hours ago

> Software engineers are getting laid off because of advancements made by AI.

The bean counters laying off software engineers ought to take notes from the frontier labs' own hiring practices. They're still hiring lots of humans for business and engineering roles even when they would be better positioned than anyone to automate away those jobs with their world-class models (https://openai.com/careers/search/).

hn_throwaway_99 4 hours ago

They're hiring now. Clearly some researchers at OpenAI believe we'll eventually all be unemployed: https://x.com/alexbronzini/status/2103846255227175288

Creamsicle47 6 hours ago

Holy logical fallacy shit

sleazebreeze 6 hours ago

ksd482 4 hours ago

Why is it hard ? It's basic empathy.

What does your being software engineer has anything to do with feeling sorry for Mathematicians' job ?

It's a classic "I have it worse than them...everyone should feel sorry for ME and not them".

pixl97 8 hours ago

It's not about universities, it's about grant funding over the next few years. It is very apt to collapse if AI is more useful than people. Why pay people to find this when tokens will do instead.

BeetleB 6 hours ago

I'll let you in on a secret: In the US, most math professors don't seek grants. In most universities, I don't think grants are even a factor in their tenure application. It's quite different from engineering.

In my undergrad math department, only 2-3 faculty members out of a dozen bothered with grants.

curt15 7 hours ago

Who will continue to develop neural nets if the mathematics training pipeline dries up? Will we see the frontier labs relinquish AI research to the machines themselves while their humans apply for unemployment benefits?

dfdydx 7 hours ago

flowerlad 7 hours ago

Who has been funding grants, and do you really think the grants are going to stop? There are infinite number of puzzles in Mathematics. The grants are not from companies like Boeing and Walmart who urgently need solutions for the problems, if they were I can understand why they might stop.

reasonableklout 4 hours ago

It’s only been a few months since LLMs started solving significant open problems in math. I wouldn’t jump to the conclusion that they have it better than software engineers.

In many ways it will likely be the opposite. Tech firms still need engineers to talk to customers and run experiments. What will the mathematicians be needed for?

loglog 7 hours ago

Software engineers are getting laid off because of the end of zero interest rates, wars started by Putin and Trump, and a bit because of pandemic over hiring. The part that is due to AI is less hiring of juniors. Know your enemy before starting a fight.

TheBigSalad 5 hours ago

What's your source for "Software engineers are getting laid off because of advancements made by AI". I haven't experienced that in my field and can't find any data to support that notion.

moregrist 6 hours ago

> Software engineers are getting laid off because of advancements made by AI.

This is said by a lot of CEOs trying to make layoffs look good, but I haven’t seen anything that suggests that it’s true.

> Yet I see far more of these blogs about the plight of mathematicians, not enough about the plight of software engineers.

Really?!? We’ve been living through 3 years of blog posts, LinkedIn hot takes, and podcasts talking about the plight of software engineers in the era of AI. There isn’t a week that goes by without an HN post about it.

I can feel empathy for the practitioners in a field that may have been profoundly changed, the same way I can feel empathy toward software engineers who are struggling with the changes in their own field.

In the end, we’re all trying to figure out where this leads. And how this will affect our lives and our work.

anigbrowl an hour ago

Unless this is satire, have you not considered how many proles have been laid off because they were replaced by technology or told that a spreadsheet model had decided their job was superfluous? Capitalism has been using technology to fond new ways to enrich itself for the whole age of personal computing, and arguably long before. Those Andreesen Horowitz comments about 'software eating the world' may have been exciting to people working at startups, but came off as rather sinister to people who were in the world outside softwareand just wanted to build a modest but comfortable life rather than develop unicorns and cash out.

forgedinfluff 6 hours ago

The difference is it takes great intelligence to be a mathematician, whereas anyone can be trained to write code. It’s like the difference between an automotive engineer and a mechanic. I would argue writing code takes less skill than carpentry.

doug_durham 5 hours ago

Do you write much code? Do you design software? It sounds like you don't. The challenge with software is managing complexity. This is unique to this field. Mathematicians are humans.

watwut 7 hours ago

Software engineers still can feed their families. The notion that software engineers can not feed families is not consistent with reality.

flowerlad 6 hours ago

Sounds like you don't know any junior software engineers that got laid off.

j2kun 5 hours ago

doug_durham 5 hours ago

vatsachak 8 hours ago

Hacker News is so depressing these days. One doomer post per day to keep the valuations up.

Nothing has changed in math. Math is not solved nor has the human been kicked out of the loop. Same with programming.

*I said nothing really changed because LLMs becoming superhuman at deduction was priced in with o3 and neither the peer review, training nor publishing methods will get a revamp beyond what could already be done with SQLite and a website.

bunderbunder 7 hours ago

I'm no mathematician, but my impression as someone who at least does a lot of applied work with maths is that the main thing that's changed is that the yardstick by which academics earn recognition is being re-assessed.

But from my perspective proofs have never been the most interesting part of maths. What really interests me is the intuition that leads to new applications, and to new questions. Newton, for example, gets more credit for calculus than Leibniz because he's the one who demonstrated how darned useful it is. Erdos is arguably more famous for asking interesting questions than for answering them.

I still don't see LLMs seriously contributing to that facet of mathematics any time soon. Every so often I ask one to suggest a good binomial confidence interval for a particular application, and it still tends to just suggest one of the subpar options that everyone learns in a first year stats course.

FLeXMurphy 6 hours ago

Proving theorems is one of the main ways that mathematicians turn math into money.

The recent barf-out done by LLM companies is useful if what are you are interested in is an unreadable mess and someone giving you the final answer. You might be able to extract some new "aha!" moments out of it, but we will have to wait and see what happens once people go through it. I would hypothesize the LLM output will be good at hinting at some non-obvious relationships and patterns, but I doubt it will yield anything of substance in its own right.

Historically, proving difficult theorems required mathematicians to sometimes invent new fields, new ways of looking at problems, the discovery of which itself yielded incalculable contributions to both mathematics and other fields. It is this that is the greater contribution of and to mathematics.

fultonn 5 hours ago

jrmg 8 hours ago

I’m on your side on this overall, I think. And I suspect we’d agree more than disagree on nuances. But saying that ‘nothing has changed’ is very obviously wrong.

vatsachak 7 hours ago

I guess I chose the words "nothing has changed" because that's true relative to all the subtext of content I'm seeing online claiming that "math is solved"

kingcauchy 7 hours ago

skydhash 7 hours ago

I agree with "nothing has changed" in practical terms. If you take a look around most things rely on an undergraduate level of math than whatever is at the frontier. The proofs may be important, but they are really remote to people's lives.

justanotherjoe 7 hours ago

bjornsing 7 hours ago

Go apply for some jobs. You’ll quickly come to the realization that something has changed.

And this is only the beginning.

vatsachak 7 hours ago

Yes, interest rates are higher than ever and consumer sentiment makes business wary

citrin_ru 6 hours ago

dist-epoch 6 hours ago

ofjcihen 7 hours ago

I own my company and directly participate hiring. What’s changed among me and my peers is that we’re on incredibly precarious economic grounds with no telling what’s going to happen next month.

LLMs haven’t done much in the way of informing me or others I know regarding “who and how many”.

bjornsing 6 hours ago

righthand 6 hours ago

And how! All the “nothing has changed, stop whining posts” are neglecting that they haven’t had to go look for a job. My previous company became quite toxic about LLMs and employee usage. It’s not “move over to the paradigm or get left behind” instead it was “jump on the hype-wagon and sing LLM’s praises all day, every day or you’re out”.

d0liver 7 hours ago

The fear is the sales pitch. AI has some uses but nowhere near enough to justify the price tag, so we need something more to sell it.

tacomagick 7 hours ago

Fear and FOMO mainly.

baxtr 7 hours ago

Re depression: Seems like it is not just HN... You say nothing changed. Maybe that's even true.

But many people perceive this very differently, see link below. And perception is reality after all.

https://news.ycombinator.com/item?id=50093180

vatsachak 7 hours ago

Yes I take issue with all the anti-human propaganda coming out. I think that there will be a future we're essentially replaced but it's not now

mawadev 6 hours ago

The doom posts will continue until profits are up.

Jokes aside, its like working for a company, individually you can lift mountains and someone else will take credit. When you use LLMs for a single bit, all credit goes to LLMs lol

criddell 7 hours ago

> Math is not solved nor has the human been kicked out of the loop. Same with programming.

Is it like Chess and Go? There are still plenty of people playing for fun, but the machines are better at it than we are.

vatsachak 5 hours ago

Nah, see my other comment in this thread with actual technical issues with the math dump and how math =/= deduction

criddell 4 hours ago

a4qi-a7h 6 hours ago

This was the top comments when the submission disappeared from the front page.

Now the thread has been cleaned up and a pro-defeatism comment is the top comment and the submission is on the front page again (I'm not alleging moderator intervention, user mechanisms are sufficient).

skrebbel 4 hours ago

> One doomer post per day to keep the valuations up.

Wow that's very well worded.

howunfortunate 7 hours ago

I'm sorry, but "nothing has changed in math" is a truly ridiculous statement.

Sure, there are people who overstate things. But that isn't an excuse to keep your head in the sand.

vatsachak 7 hours ago

o3 already had this priced in amongst many mathematicians I talked to at conferences

skybrian 7 hours ago

simianwords 7 hours ago

tosapple 6 hours ago

my doomerism isn't about keeping valuations up, it's about tearing it down.

https://en.wikipedia.org/wiki/IBM_and_World_War_II

the above, a "sorting" machine is the primary usage of hyperscalers currently, they're just trying to find new uses to boot for extra money/legitimation.

the browser industry the phone industry the CAs JavaScript

it's all paid for by those wanting to sort humanity into whatever bucket the can fear monger the peasantry into for aweek or however long it takes the classification system to sort out.

gentrification works, but we chose forcible displacement now we have to live with the forever consequences.

would you give guns and bombs to the displaced native americans who taste blood over their beads and trinkets?

we've been inside the event horizon of the singularity for years, the tax bill will only get worse unless we recognize it for the tick that it is.

simianwords 8 hours ago

yeah nothing changed in math. mathematicians are weeping for some strange reason (maybe paid by OpenAI to weep?). And Terry Tao is posting blogs on AI + Mathematics because he was bored (or because he was also paid by OpenAI).

vatsachak 7 hours ago

They are overreacting imo. A lot of mathematicians stuck their head in the sand with o3 but this was the logical outcome; superhuman deduction

dfdydx 7 hours ago

simianwords 7 hours ago

12947ahgf 7 hours ago

> One doomer post per day to keep the valuations up.

Yes, outsiders (investors, journalists) are given a false impression while insiders (software engineers) are supposed to give up. Double win for the agitprop machine.

nemo44x 7 hours ago

It's probably because with the release of each model it is becoming more and more difficult to see how a person's livelihood and way of life continues. Uncertainty stacked on uncertainty.

How will it pan out, no one really knows. The leading frontier labs are continuing to hire aggressively. But who knows for how long or for long or near-term goals.

vatsachak 7 hours ago

The open ai math dump was actually what got me off the singularity wagon.

There were mistakes that could easily be seen with a diagram rendering three big results wrong, exposition is terrible, no coherent underlying theory generated from solving so many problems, as Thomas Bloom pointed out even duplicate proofs of the same statement in a single paper.

It clicked for me, "this is slop but slop can be superhuman and useful!". Similar to programming where it can generate as many criticisms of your codebase but you have to weed them out.

QuesnayJr 7 hours ago

omnicognate 8 hours ago

I happen to be (re)reading Strogatz' book "Nonlinear Dynamics and Chaos" right now. It's beautiful thing, and nothing in the "age of AI" threatens to equal it or in any way diminish my enjoyment of it.

Ectiseethe 8 hours ago

I think the point is that in the "age of AI" virtually nobody will have the opportunity to follow a career and produce works like Strogatz was able to do.

omnicognate 7 hours ago

I'm not disagreeing with the post. My personal opinion is that LLM "thinking" is qualitatively different to human thinking, that the "convex hull of ideas" idea is probably right in some sense, that the social structures we have built to allow and encourage human intellectual exploration are not obsolete and that there is a high risk of catastrophic damage being done to them by those who fail to see this.

SiempreViernes 8 hours ago

Even if this was overly long and mostly things I've seen before, I'm just very thankful that it wasn't yet another claude piece.

A_D_E_P_T 8 hours ago

There was an interesting passage in the article:

> Today, the mathematicians are weeping, because the machine smashed their tower first. But tomorrow, it may be the physicists, the economists, the illustrators, or the writers who weep over their fallen blocks.

Isn't it extraordinary that these models still can't write well? I mean, they write passably well, but they all have a highly characteristic style that you can spot from a mile away. These language models can crack the toughest open problems in math, but they haven't yet cracked human-like writing, especially long-form writing, without exposing themselves. This is very very odd, IMO.

arctic-true 8 hours ago

Writing is a very slippery thing. “Good” writing from 200 years ago reads as unbelievably dense and overwrought to most people today. So even if you made an LLM that was “good” at writing, how long would it stay that way? AI systems can put out more writing per day than all of humanity combined, meaning it can also generate and beat to death cliches much more efficiently.

MarkusQ 8 hours ago

Or, just maybe, they share a key property with the mounds of popular writing, journalism and random internet accretions they were trained on: they seem total rubbish on anything you know about deeply, but brilliant on everything else.

Their math is as just as good as their rambling writing and their Ghiblified poster art. Most people don't seem to realize that.

orangecat 6 hours ago

Kiln6125 7 hours ago

mooreds 8 hours ago

> Today, the mathematicians are weeping, because the machine smashed their tower first.

I read this passage and thought, "has Derek even talked to software developers"?

That feels to me like the first discipline to go through this, where their daily activities are massively changed by GenAI.

KerrAvon 7 hours ago

317070 8 hours ago

Language models don't have a characteristic style you can spot from a mile away. They haven't had it since before ChatGPT.

What is true, is that chat models (and by extension agents) have a very characteristic style after their LLM went through post-training. But the pre-trained language model doesn't have that style.

So if you want to write well with an LLM, you could and it is a well understood problem. It is more a matter of that not being of much interest, as it competes with having the model be good for chat interfaces.

How to have a well-aligned, RL'ed, safe or thinking model, which also writes well in long-form, is a bit an open problem. Though presumably agents could do it when they have access to a pretrained model.

SoftTalker 6 hours ago

mr_mitm 7 hours ago

You can just tell them to adopt a different style. To make sure, add another pass with an agent that flags and/or fixes LLM tics. Humans typically do several passes over writings that they intend to publish, why are we expecting agents to do it in one shot? Just like the superpowers skill for software development does a spec phase, planning phase, several review rounds, etc., if you do the same with writing you get very passable results.

user43928 8 hours ago

Makes me wonder whether it's a fundamental limitation of the technology or more like missing a good set of tasks in the training pipeline

qarl 8 hours ago

imeanwhatdoikno 8 hours ago

Gemini's (at least for Flash 3.6 - 3.8) writing feels quite "human" to me

logicchains 4 hours ago

>Isn't it extraordinary that these models still can't write well?

It's not at all extraordinary if you understand how they're trained. For math and programming it's possible to generate an infinite amount of training data with correct answers, as compilers and theorem provers can guarantee correctness. For writing, the quality is not objective, it's determined by human preference, so you need humans in the loop, which slows things down massively and limits the amount of data that can be generated.

skydhash 8 hours ago

Math and programming languages are formal. Meaning they don't have any ambiguity in them. Every statement is what it is. That means they are very rigid and there's not a lot of variance. Natural languages are more diffuse and a written piece is more the reflection of the author than anything else.

That is why it's so disturbing. After several paragraphs, you realize there's nothing human there even when the actual information is present. People that do create AI piece are OK with it because they already have the context, but for the reader, it's always the uncanny valley.

QuesnayJr 8 hours ago

There's no money in it. There's money in programming, and math is a good target to give the models superhuman reasoning abilities, but it already writes well enough for middle managers to write all of their emails.

cubefox 7 hours ago

Recently a Canadian immigrant won a bunch of the highest French literature prizes for his novel, which then turned out to be an LLM fabrication.

d_burfoot 5 hours ago

> I am not one of those AI people who believes that hundreds of millions of jobs will be wiped clean from existence in the next five years

"Wiped clean" is the wrong phrasing, and 5 years is a short timeframe given the ability of some sectors of the economy to resist change. But yes, hundreds of millions of white collar professionals will need to rethink their careers and their business models within the foreseeable future.

Just today there was an HN article about how shady the dental industry is. In the future, you will go to a special dental imaging facility where a modestly-compensated technician images your whole mouth and feeds the results into an AI system, and when you get home you can look at the assessment and chat with the AI about it. Then you can potentially go visit a dentist, oral surgeon, etc, if you actually need work. This system will produce far better dental health outcomes at far lower cost: the diagnoses will be more accurate, and there will be no bias towards additional, unnecessary procedures.

emacdona 4 hours ago

> In the future, you will go to a special dental imaging facility where a modestly-compensated technician images your whole mouth and feeds the results into an AI system, and when you get home you can look at the assessment and chat with the AI about it. Then you can potentially go visit a dentist, oral surgeon, etc, if you actually need work. This system will produce far better dental health outcomes at far lower cost: the diagnoses will be more accurate, and there will be no bias towards additional, unnecessary procedures.

Right up until the sellers of dental supplies find a way to...

Indirectly influence model training to increase the frequency with which models recommend dental work and/or lower the bar for what they determine to be "necessary"...

or...

Directly influence model recommendations by paying model providers (who will be happy to take that money).

The point being that models (and particularly the humans that control them) are presumably just as corruptible as the humans they are replacing.

HDThoreaun 4 hours ago

The advantage is scale. If a dentist is shady and overprescribes it can be difficult to find out because there are not many victims. If a company serving millions of people is overprescribing there’s a much higher chance of them getting called out on it.

emacdona 4 hours ago

I-M-S 3 hours ago

BobaFloutist 3 hours ago

lbrito 3 hours ago

No one wants that. People pay other people to do things well. No one wants to need to discuss orthodontics with a bot, they would rather pay someone to know those things and think about them.

Aozora7 6 hours ago

I guess I'm lucky that I've always hated my job, because that prevented me from tying my self-worth to it.

1970-01-01 6 hours ago

>Yes, some are crying about bruised egos, the feeling of wasted years, a creeping sense of status obliteration, the frustration of an unfair competitor, the indignation of feeling cheated and mistreated, and uncertainty about the future. But they are also mourning...

This nails it, however IMHO its almost all bruised egos and feeling of wasted time. I don't know the ratio of A:B but I also don't know anyone that is in the latter category of feeling doom and mourning that their craft is about to regress.

happytoexplain 6 hours ago

I don't know what's happening exactly, but I am genuinely astonished how little people seem to care about people losing something real, dismissing it as "bruised egos", using petty terms like "whining" and "crying", or calling them some insult for the crime of being angry or sad for having a big chunk of their life pulled out from under them. I'm referring to the big picture of common talking points, not just this case.

I guess I'm not astonished that people are so bad to each other in general, but more that in the case of genAI it's so prevalent in places that seemed more elevated previously.

Part of me wonders if this is actually a form of self-defense. The misery of others can provoke sympathy or the opposite: Angry pushback to protect oneself from dwelling on their misery.

NichoPaolucci 5 hours ago

Similarly, I got into software because I like working with computers and solving problems for others. I see TONS of similar sentiment where people are almost joyously exclaiming “Software is solved! Sorry!!! It’s been a long time coming, you all deserved it, get fucked!”

And I can’t imagine feeling the same about any group of people. It’s been odd, to me. I’m just trying to support myself and the people in my life, and now there’s a looming fear that I can’t do that anymore… business owners are drooling over that, and other sectors are laughing.

Hard times, I guess.

webdood90 4 hours ago

hombre_fatal 5 hours ago

I saw something similar on Twitter responding to 45yo software engineers making comments of depair in that HN thread about the increased suicide rate of middle-aged men.

For some reason I'm stuck in a real depressing, doomer algorithm / homepage on Twitter. But everyone on my homepage seems to have a take on the HNer comments along the lines of "see, this is why you don't make your job into your identity".

But that's such an antihuman response. The only reason you can put decades into a field to grind and build expertise is because you have an identity-level interest in a subject.

It's also not a good thing if the optimal way to live going forward is to have no passion for anything lest it changes so that we won't feel bad. I don't think that's possible unless you remove the human part of our brains or make life so horrible that we're happy just to survive another day.

JumpCrisscross 5 hours ago

skrebbel 4 hours ago

pianopatrick 5 hours ago

Lots of people have lost their jobs and had to overhaul their lives due to layoffs or technological advances or political choices or factories moving overseas or whatever.

They are showing as much care for mathematicians as they received themselves, which is not much.

parpfish 5 hours ago

i think a big part of the backlash isn't about math per se and it's about what 'work' or 'a job' are supposed to be.

when mathematicians complaining about losing the part of the job that they love, people think "if you love doing it, why is anybody paying you? you're describing a hobby."

0c3ca83 4 hours ago

avazhi 5 hours ago

Because we don’t see it as something for them to be legitimately upset about, except that it’s going to disturb their ivory tower unserious profession.

If AI got significantly better at performing surgery overnight and doctors started crying about how they were going to be replaced, what do you think the public response would be? Non-doctors want the best possible care; they aren’t interested in protecting an industry. The same will be said for pilots and lawyers, too.

People dislike self-serving whingeing, end of story, but that’s doubly true when it comes out of a profession (theoretical mathematics) that is mostly practically useless.

0c3ca83 6 hours ago

The doom and mourning is that it's no longer their craft. Their involvement is on the threshold of no longer being useful. What does it mean for humans when the best their involvement accomplish is slowing down progress?

jvanderbot 6 hours ago

This is a fundamental human need and it's being taken from everyone eventually, by design. It will take a generation to turn over and find new ways of being useful. Those who ran into this wall and could not safely reduce their income and retire/pivot to other fields, will be the coal miner oxy crisis of this generation.

1970-01-01 6 hours ago

Mourning is fine if it is temporary, however no man should dread their own future if they still have control of their life. This is the idea of unalienable rights and was enshrined hundreds of years ago. It seems to me that anyone dreading the future of their field failed to take a page out of their retirement strategy and diversify their own interests, i.e. https://en.wikipedia.org/wiki/Polymath

https://en.wikipedia.org/wiki/Life,_Liberty_and_the_pursuit_...

j2kun 5 hours ago

0c3ca83 4 hours ago

skohan 6 hours ago

I was talking to a mathematician friend about this, and she was telling me that a lot of the proofs that have been produced in the past couple weeks don't have an application.

To me it begs the question: in a theoretical world where we don't have human mathematicians anymore, what is the point of these proofs if there's no human who actually understands it?

If the point of a lot of this math is only to expand the boundaries of human knowledge, it all seems kind of pointless.

chasd00 2 hours ago

0c3ca83 6 hours ago

RandomLensman 5 hours ago

Is AI at the stage that it can also point out all interesting things to study and then solve them? Otherwise humans would still be able and needed for progress.

0c3ca83 4 hours ago

zer00eyz 6 hours ago

It's the abject lack of shame that gets to me.

None of them have pointed to any of the solutions and said "this is real innovation" - because it's all been mining existing ideas and applying them elsewhere.

Imagine you spend years working on a solution to one of these problems. Only to realize after you publish that more than half your answer already existed in another branch of mathematics and you spent a bunch of time re-inventing it.

Yes the first big solve by OAI was "stolen" and that is tragic, and pretty bad. But it looks like this new batch, the one people are crying about, has none of that stink.

nfw2 4 hours ago

I think there is totally justified distress knowing your source of livelihood may be in danger.

That said, I don't think the reactions have been entirely circumspect.

1. Is the role of math academics really going to go away? Is there concrete evidence of this? Faculty still have very important roles to play, training students, training engineers, determining the direction of research. The breadth of math is absurdly, perhaps infinitely, wide, especially if including applied math.

2. You need to be a bit crazy to go into pure math academia in the first place. If you value the pursuit of knowledge for its own sake, shouldn't the emergence of such powerful tools to that end be a good thing?

gizajob an hour ago

“ What makes us special, it would seem, is this capacity to compound.”

Yeah so you’ll compound using the AI tools and get more done. Stop crying that your tilting at windmills is now being done more efficiently and find new windmills to tilt in new AI-assisted ways.

progforlyfe 7 hours ago

I need to do some more research on this. Because I've always been told that AI, more specifically LLMs, are "glorified autocompletes". Yes they have huge data sets but ultimately they can only provide answers based on data that they were trained on.

So how can they possibly solve problems that humans have worked for decades or centuries on without being able to solve? How did they find something new? Is it that they were able to deduce the solution by examining all current data sets? Or simply brute force it until the produced solution passed all necessary tests?

captainclam 7 hours ago

The following certainly does not describe all mathematics or all LLM operations, but its my mental model for why LLMs are so effective in several fields.

Lots of mathematics entails recognizing that a tool/techniques that works in one area can be adapted to a completely different problem. For a human to do this requires having a robust mental model of the technique and the problem itself, and probably having just the "right" mental model to see how they fit together. And we are talking about extremely hard/sophisticated techniques and extremely hard/sophisticated problems, so the ability to deeply appreciate either can require years of study. And on top of that, even if the mathematician has sufficient understanding to develop the intuition that the technique might work, they will need profound fortitude, skill, and patience to see the solution through.

Unlike human mathematicians, who will develop a deep understanding of only a relative handful of techniques and problems in their lifetime, LLMs have ALL written techniques, problems, solutions, etc stored in their internal representations. So when they ably match a problem to a technique, we can imagine the operation as a supercharged autocomplete, or even an extremely proficient search engine. Their stroke of genius is really a consequence of capacity, moreso than cleverness.

xg15 6 hours ago

Because the "glorified autocomplete" crowd likes to ignore the technical detail of how the autocomplete actually works.

SoftTalker 6 hours ago

They have access to a much larger corpus of information than any single human can manage in his one brain. No human mathematician reads all the papers and has perfect recall on them. The answers have always been there, but no individual has been able to make all the right connections to pull them together and formalize a new discovery or proof.

BobaFloutist 3 hours ago

I mean the big idea of math is that (with some caveats) all the answers that can be provided have always been there.

KerrAvon 7 hours ago

> Is it that they were able to deduce the solution by examining all current data sets? Or simply brute force it until the produced solution passed all necessary tests?

Yes, both of these + an infinite token/compute budget and SOTA+ models. It's not like some hobbyist out in the woods with a GPU running Qwen 27B can do this.

6thbit 3 hours ago

Knowledge without understanding would be just getting "42" and not being able to ask any follow-ups.

But I don't think that's where we are at the moment. I believe the results, proofs and papers can be reviewed and understood, just like if a human peer had published another result.

I also think that the speed at which results can be now generated can't be followed by our collective speed to understand them, using the methods we are used to. As we enter the next phase where AI publishes using mostly references of other AI results, this will compound exponentially until it would take any human decades to verify a single result by hand end to end.

I agree translating a phrase doesn't teach you a language, and I also believe translators are an essential tool that results extremely helpful when learning a new language.

So instead of throwing the towel, could we develop and adapt ways to improve and aid our understanding and verification processes?

ehhthing 8 hours ago

I'm convinced the people who do not see what Mathematicians see simply have not considered that their jobs are just as vulnerable. The day when OpenAI replaces their own AI researchers with GPT will be upon us, and the response from the Mathematicians will be "First time?"

rcr-anti 3 hours ago

To me it seems the ultimate question is why would we expect humans to have an advantage at anything in the near future. A few years ago that would have sounded insane, but intellectually I don't doubt frontier models are superior to the average person. Even in the arts and humanities, give your preferred frontier model an interface and a way to "see" its work and it'll make the average person's work look like toddler scribbles. Humans still have some advantages, some places more than others, sure. Working with a designer recently I realized how bad, or maybe average, frontier models were at design. But I highly doubt the vast majority of people will be economically viable. Maybe this is one of the great filters, a society driving itself mad when freed from necessity of economic utility and without the big philosophical questions having answers.

dsign 3 hours ago

There was a time, not too far in memory, when the value of being human wasn't about our intellectual prowess[^1]. We were creative with the human worth thing: being there in the time of need, faith, nobility or being a well-dreaded, literally-bloody viking full of beads in your beard.

Yes, I fear we will stop being the top of the food chain[^2]. But by god weren't we getting bored? Maybe getting off our high horses and going into the weeds won't be such a bad thing.

[^1] And even today, if you go to parties and keep bouncing into people that have no trouble picking up intellectually stimulating topics, you are in a lucky minority.

[^2]: More about my fears, which are unhealthy and you don't have to read but I feel compelled to include citations: https://w.ouzu.im/aweb/unhinged

augment_me 7 hours ago

As usual the author is ending on a completely unrealistic positive note: "humans may come to value more highly our capacity to relate and care for one another".

Does relating to someone pay my bills? People will use the informational tools to improve their social status and resource accumulation, there is no doubt about this.

bjornsing 4 hours ago

If you work in a nursing home it can pay your bills. Is it so far fetched that that kind of work might see a much needed status lift post-ASI?

augment_me 2 hours ago

The vast majority of nursing home work is physical, sprinkled with a lot of excrement and sexual harsssment by the seniors.

There is little or no time, or incentives for care as described by the blog.

cleandreams 3 hours ago

I think an under appreciated part of mathematics has been contributing clean and elegant work precisely so that others could use that as a foundation for further work and new insights. This dump from Open AI seems to be the opposite. Huge and messy, incomprehensible and taken seriously only because of Lean.

There is this assumption that AI will contribute to faster progress in math but given the garbage dump of proofs which we have to take on faith are robust I wonder if the opposite is true.

My reservation could only be dismissed if AI turns out to be able to contribute fundamental new insights and pose new problems. This takes us into an area where AI progress has been slow to say the least.

paulpauper 3 hours ago

The dump from OpenAI seems to be the opposite: huge, messy, and incomprehensible, and taken seriously only because of Lean.

Math papers were hard to comprehend well before AI. This is hardly new. For example, here’s a screenshot of a paper from 40 years ago:

https://i.imgur.com/kPFlczp.png

At least with AI, you can download the LaTeX, upload the paper to your favorite LLM, and have it explain the paper at whatever level of granularity you like. That wasn’t possible even two years ago.

KolmogorovComp 3 hours ago

I think people vastly underestimate the ability of human to respect human performance despite being inferior to machines. Think about chess players vs stockfish, marathon runners vs a car, etc.

I think the crux is much more prosaic, as buried in the article. > I also don’t want to lose my job to a tangle of GPUs.

To put a GPTism, it’s not about the knowledge or status, it’s more about keeping their job and money.

And that can only be answered by policies, and imo by UBI. So votes if you can people, protest otherwise, discuss, debate, lobby with your friends, families acquitances.

triceratops 2 hours ago

Jobs and money are bottom of pyramid needs. If we answer those with UBI I guarantee you status and purpose are the next ones.

Chess players vs stockfish isn't a good comparison because chess fans only care about the performance of maybe the top-50 players.

People may gain and be satisfied among their own peer groups. All good and healthy if that peer group is your local badminton club or knitting circle - something where effort and skill have rewards and people can make objective, tangible progress. But groups not oriented around such activities could turn even more toxic.

ceroxylon 6 hours ago

I am not quite saying "if you can't beat 'em, join 'em", but I know more math now than in any point in my life because I want to understand how LLMs work.

I understand there are many types of math and the mathematicians don't all want to sit around and do KV cache and gradient descent things, but surely a percentage are as interested as I am and can contribute to this new emerging field? I would wager that Xl+1=Bl Xl+Cl ℱl (Al Xl) makes much more sense in their mind than mine.

itsalwaysgood 6 hours ago

This is the best attitude to have about the current state. Unless you have some dramatically different sensible solution (and you probably don't when it comes to technology, because it seems to spread for reasons that would eliminate other sensible solutions) that will catch on and take over and replace AI: it's going to continue to mature as long as it's mostly useful to everyone. And AI isn't even a new industry, it has been maturing for quite a while, which adds more weight to the argument that having an attitude that adapts to technology (unless you wish to go solo) is a 'better' fit.

The dramatic solution can never be: 'we should all just want to do it this way because it felt better to me'. That never seems to work, from what I've seen. So there is a lot of public discourse, arguing, to determine if 'doing things the old way' is perhaps more better. And if not, maybe we just shed a tear and move on (to look for a better fit).

j2kun 5 hours ago

> I know more math now than in any point in my life because I want to understand how LLMs work

The implication here is that you wasted your time learning that math, and the fact you learned that will not actually help you contribute to anything.

Now maybe you are closer to understanding the feelings expressed in the article?

hermitcrab 6 hours ago

>Newton famously compared his achievements to “standing on the shoulders of giants”

Newton was possibly just taking a dig at his small-statured rival, Hooke. Newton was brilliant, but a shit.

bananaflag 8 hours ago

As a mathematician, I will never understand how my colleagues had never foreseen this. Okay, maybe you can believe in a plateau but at least accept as a possibility that there won't be one. This applies to every other human endeavour.

I am also sad, but my sadness is, in a way, priced in.

Lambdanaut 8 hours ago

I saw it coming since reading Kurzweil in high school and it's still heavy.

I just had a chance to flinch first.

SoftTalker 6 hours ago

It's not really a profound insight. Back in the 1980s when I first started writing BASIC programs I remember thinking "well, if someone invents a program that can write programs, there will be no more work for programmers"

It's easy to have that thought, and eventually you'll be correct. One thing about technology is that it only improves. It's always building on top of what already exists. The only uncertainty is the exact timing, not the ultimate outcome.

qarl 8 hours ago

This is it.

The people struggling right now - they were told. 30 years ago. They really should have come to terms with it by now.

But these are also the people who refused to believe it, for whatever reason. Their heads were in the sand. So I do feel bad for them... but... this is somewhat self inflicted.

dare944 3 hours ago

QuesnayJr 8 hours ago

It was really quick. I stumbled across a comment from KConrad on MathOverflow on how useless AI was for research. That comment was from 2024. When it disproved the unit distance conjecture in May, the solution involved a breath of knowledge of the literature that it made sense it took a computer to make the connection. It only took 5 months for it to advance to the point that it was better than humans at almost everything. Even if you expected it, the mind boggles at how fast it was.

Also, it's impossible to really know how you're going to react to something until it happens to you. When ChatGPT came out, I already thought "in the long run they're going to automate almost everything humans love to do". Despite having 4 years to brood about it, I did not really know what it would feel like until it happened to me directly.

qarl 8 hours ago

> It was really quick.

That's how the singularity works. It's going to keep getting quicker, incomprehensibly so.

pixl97 7 hours ago

globnomulous 7 hours ago

QuesnayJr 7 hours ago

zeroonetwothree 8 hours ago

As a programmer I’ve been ‘weeping’ for a few years now.

ActionHank 8 hours ago

Programmers, artists, anyone who used to create any form of documentation, translators, there are literally so many.

Either these mathematicians thought it would never come for their jobs, because all of these other jobs were simpler or they've been living under a rock.

Either way, I don't feel for them any more than I do for all of humanity.

curt15 8 hours ago

When anyone can push a button on a machine and out comes a math result, it still doesn't become theirs or anyone else's until they can internalize it and make it part of their thinking.

kraquepype 7 hours ago

"I can’t solve these things, but maybe you people in the future can stand on my shoulders."

Seeing AI being lauded for solving problems like this makes me feel... uncomfortable.

We are feeding all works of the giants that we have all stood on into a huge vat, in the hope to generate something meaningful.

If we can't understand the output, internalize it, or build from the time and experience that a human would have gained from solving the same problem, it feels like a dead end.

When all the problems have been "solved" by AI, what's next? If humans no longer struggle to solve the problems that the previous generation have left behind, how do we progress?

doug_durham 6 hours ago

The author mixes "Science" and "Mathematics". Mathematics is not a science. There is nothing empirical about it. By mixing the two concepts, a reader might think that AI is on the verge of solving all of science. Until AI gets good at digging large circular holes in the in the ground, I think Experimental Physics is safe.

BobaFloutist 3 hours ago

> Until AI gets good at digging large circular holes in the in the ground, I think Experimental Physics is safe.

Are the experimental physicists usually the ones holding the shovels?

skybrian 6 hours ago

Maybe math is more like a science now, though? It's as if ancient astronomers saw the results from a modern telescope. "Why even look at the sky anymore," they might ask. "And we don't even own the telescope!"

Maybe the answer is to look into how Big Science works? There's still plenty of work to be done figuring out what to do with the outputs from these new math-observing instruments.

econ 6 hours ago

I had visions of large automated warehouses full of chemical and biological components hooked up to science machines to do everything from mixing, boiling and printing to spectrograph and robotic assembly. Smart computers and humans would pick the experiments to brute force with exact billing.

nsagent 7 hours ago

I remember the same doom cycle during my PhD when GPT 4 came out [1,2]. It seemed like everyone in NLP was freaking out except me. A few years later and new CS PhDs are still graduating and joining academia and industry. Much ado about nothing.

Considering I currently live in Ithaca and have a friend doing a Math PhD, so I've heard from him some of the discussions in the department. I think the biggest shock for people is that individuals spent significant portions of their time on some of the problems that OpenAI supposedly solved (I say supposedly because all of the proofs have yet to be independently vetted). I understand that it's a shock, but I'm confident that in time it will be no more of a blip than it was for NLP.

[1]: https://xxcancel.com/mayhewsw/status/1636476184098643968

[2]: https://xxcancel.com/andriy_mulyar/status/163613925780582809...

famouswaffles 6 hours ago

A blip for NLP? What bespoke NLP research is about anything other than LLMs these days? How many companies are handcrafting bespoke NLP models instead of sending a LLM request? Really confused here.

bjornsing 7 hours ago

I’m not sure I’m following… because as I understand it NLP is basically solved now (with transformer LLMs). No?

bel8 7 hours ago

My friend, who is a math professor, told me that they weep because they are about to become just like us developers: prompt writers and AI output reviewers.

aleph_minus_one 7 hours ago

> My friend, who is a math professor, told me that they weep because they are about to become just like us developers: prompt writers and AI output reviewers.

If it was about understanding interesting proofs that some AI came up with, and extracting their essence, I don't think the situation would be so bad.

I see the much larger problem in the now existing career prospects of non-tenured researchers in mathematics. Everybody know how precarious the career prospects in academia and how precarious often the non-tenured positions in academia already are. With the new AI breakthroughs in math, these have in my opinion even worsened a lot.

UPDATE: For a related point, see also pixl97's post: https://news.ycombinator.com/item?id=50104145

euthymiclabs 8 hours ago

I love that we have new ways to solve problems. And it's been hard to accept that my own unique intelligence—which I've spent decades cultivating—just isn't as important as it used to be. I am developing new ways of thinking to better adapt to an AI-enhanced world, but I'm not done with the mourning process. We're all finding our way through this.

globnomulous 7 hours ago

What new ways of thinking are you developing?

Kostchei 6 hours ago

I object to a few of the assertions made by maths folk in the article- 1st being that Google Translate taught us nothing about linguistics. If you use google translate you learn less about linguistics than if you had to experience learning the languages first hand, maybe, but you can learn form just that output if you are determined to, ad, more importantly, the folks who built it and are still building it are still learning a huge amount about linguistics.

What are the relationships between many languages that become apparent, including code as a language that were not obvious before llms? Translation is fairly solved. The study of how and why languages, not at all.

imeanwhatdoikno 7 hours ago

A hypothetical... suppose AI "solves" (for your preferred definition of "solve") your field and what you used to do becomes useless or near-useless. But you still enjoy doing it and you also get UBI that provides for comfortable lifestyle regardless of what you choose to do.

Questions: (1) Do you still weep for what has transpired? (2) Do you continue to do what you used to do (with optional AI assistance)?

For me: (1) no, (2) yes and I think the same would be true for most people. So I can't help but believe that most of the anguish about AI is far more about a direct economic hit to people's livelihoods than it is about the impact to their respective fields. Which is more than reasonable. But then why not frame the conversation that way instead of beating around the bush?

igleria 7 hours ago

There is no reality in which everyone gets their basic needs (food, roof, health) without a job.

heck, we have the resources to that now but we don't do it.

orangecat 3 hours ago

We do for seniors, who are much more expensive than average due to medical costs. In a hypothetical future where AI is much more productive than humans we could easily extend that to everyone.

LelouBil 2 hours ago

igleria 2 hours ago

bjornsing 7 hours ago

I’d be okay with UBI and hobby intellectual work for the rest of my life. But I’m not a mathematician. Many of them probably have more of their identities tied up with their cognitive abilities and social standing.

QuesnayJr 7 hours ago

For many people, the answer to 1 is yes. You maybe happy with our future where we putter around aimlessly as consumers, but some people want to live in a world where they can at least try to do something that matters. Virtually every professional mathematician is motivated by personally making a permanent contribution to human knowledge, no matter how small.

orangecat 3 hours ago

I understand that sentiment, but I don't think it really counts if the only reason you were able to do something first is that others were forbidden from using an AI that would have done it faster.

Ciantic 5 hours ago

Article refers to Hugo Duminil-Copin, who also did a podcast with Brady Haran [1] about this subject, for him it isn't case of bruised ego, or gatekeeping. He realized that the way things were done were going to change, and it made him emotional, he is not pessimistic or against AI.

[1]: https://www.youtube.com/watch?v=omuJpoV-Ko4

deepsun 3 hours ago

> But tomorrow, it may be the illustrators

I thought illustrators have been out-of-job for quite time, right since Midjourney released. So not tomorrow, but yesterday.

yipinwong 6 hours ago

One of the driving forces of math achievement is an internal award (yes, friggin business speak).

The vanity, fame, self-improvement, it's very selfish as everyone does.

Now the fame coming from proving things like Riemann Hypothesis is taken away. Self-improvement? relying on AIs make you stupid. It will be lost. Vanity? Who else don't know how to use AIs? It cannot fill your void.

Now also the most important thing is the communication.

There will be less communications amongst mathematicians at least in person. On paper? maybe but mostly via AIs.

itsalwaysgood 6 hours ago

I don't think it's the communication that's lost, it's the motivation. People love to collaborate, but they don't always want to waste time doing it.

It's the same reason you see 'no AI' repo labels: only by forcing some standard on the community can the 'old way of collaborating' continue to exist.

There will for sure be new ways of collaborating, and walled off gardens like you suggest, where communication stops and everyone just shares some final product.

But, in some cases the product must be understood (or demonstrated) before value can be derived, and so collaboration will still exist.

Desire, and the 'shape' of collaboration has changed greatly though. Why collaboration has changed, is a completely separate issue related to economy and how each of us spends our time.

yipinwong 5 hours ago

ty. Good points in general.

> There will for sure be new ways of collaborating

I am not smart enough to know what the new ways will be but there should be one to adapt to changes.

omnicognate 6 hours ago

The fame from solving the Riemann Hypothesis has not been taken away. It's still open.

itsalwaysgood 6 hours ago

Desire and motivation are factors to consider. Would you want to invest 5 years of effort into solving the Hypothesis 'the old way', knowing someone is probably working on it right now with AI?

And then once it's solved by AI: do you want to churn through the proof to understand it? What if it takes you 5 years to churn through the proof, and it turns out someone made a mistake with AI (I have no idea what would be realistic amounts of time, but the idea is still worth considering).

The issue is very complex, and you will always be hungry.

omnicognate 6 hours ago

yipinwong 5 hours ago

ty for the cath. That is the only "famous" one I recalled as I am not math savvy.

bentt 5 hours ago

OpenAI didn't have to mass publish these solutions. They did it to make themselves look good. They are ostensibly making a tool for people, to better humanity. Instead, they chose hubris and self-interest.

Letting mathemeticians use these tools to reach the same conclusions would have been far less destructive, and potentially, even exciting. Shame on OpenAI.

motoboi 5 hours ago

> Instead, they chose hubris and self-interest.

Well, you accidentally described a top mathematician before age of 41.

bentt 3 hours ago

Not following...

silverFork 7 hours ago

Mathematicians are smart enough to have figured out which way is up. You can debate the stuff outside someone's field not knowing the details but the insiders know what is happening. Ai may not be better than someone with very specific knowledge at this point but it is certainly better than the net. Once it gets optimized for every little super human knowledge, it can do better.

These guys know because they looked at it. Denying it is useless. But maybe some of these guys can figure something new using it and asking it to look for it.

prplfsh 7 hours ago

I'm wondering if mathematicians are sort of going through what programmers have been going through recently, really questioning whether their craft can continue. But now it feels like, in the software world, at least from my seat, people can handle much larger scope and work on much more complex problems. If anything, my job has gotten a lot _more_ interesting.

So I wonder if mathematics will go through that too? A period of chaos and doubt, but finding new and more effective ways of working.

sys32768 7 hours ago

Mathematicians are grieving the birth of something that is, in a very real sense, the crowning achievement of mathematical ingenuity.

I never appreciated hard math much because my brain just can't get there. I thought so much of math was much ado about nothing, but now I see the art in math...not in the inscrutable formulas, but in the creation of AI.

Well done, mathematicians. You can now rest from your labors.

chasd00 3 hours ago

> Well done, mathematicians. You can now rest from your labors.

well i think the grieving is because they still have to make rent somehow.

Crane992 3 hours ago

It's got to be alarming. Without a doubt, being not only on the frontier of yoyr profession, but in THE profession that is undoubtedly the most intellectually rigorous and well renowned and respected... It's got to feel pretty awful

adrians1 3 hours ago

2 seconds after AI cures cancer: "I know why the cancer doctors weep"

zeezer0 5 hours ago

We are seeing many fields being impacted. Makes me happy to see things like artcraft coming out that directly impacts the big tech companies themselves.

qarl 8 hours ago

> “They have annihilated my field of research.”

I think they might find comfort in knowing it's not just mathematicians - this is coming for all of us. Computers putting us out of work has been coming for a long long time.... and now it's here.

motoboi 5 hours ago

Mathematicians should web search the arguments when artists were hit by the wave. Scientists in general and people that think humans know better.

This is probably the first time in history deep thinking is being replaced by a machine, but the overall arguments are the same in all cases. Graphical artists saw it first, then programmers, now mathematicians.

No, there is not stopping the wave. No, society won't probably be able to support the same number of mathematicians as before. But yes, there will still exist mathematicians after the wave break, just probably completely different than the old way.

And yes, some people will still try to do artisanal mathematics and say it's better, it probably is, if the artisanal mathematician in question is doing deep creative and out of the distribution work.

akssri 6 hours ago

Those of us who loved programming have already been through this.

I hate programming these days - back in the day, the cubicle-hell nature of "popular" frameworks was at least offset by being able to think through and solve interesting problems.

These days most of us are stuck in the "endless-review" loop with LLMs. You can't afford to not use it given the inflated expectations. As with all of modernity, productivity doesn't yield leisure - it just proportionally increases your workload.

Hardly surprising that the other side of the Curry-Howard correspondence is now getting hit with this. Math was one of those depts. where slow/deep-thinking was possible (CS was already insane 10 years back - now it's just absurd) - now even this fortress will be broken. Tragic.

dandaka 7 hours ago

If understanding is so important and AI systems can only produce knowledge. Why can't mathematicians continue their work on better understanding?

smallstepforman 5 hours ago

My take is that it is an exciting time to be a mathematician since the frontier for interesting math problems is about to explode, and without prior art or references, it's green field for both AI and human. Think of all the new discoveries we'll make.

xg15 6 hours ago

The beginning of this article is decent, the end sounds like a tobacco lobbyist touting the health benefits of nicotine.

> If intelligence becomes less uniquely human, we may come to value more highly what remains uniquely human: our capacity to relate and to care for one another.

Lol. How does the author think relations between people work? (At least those outside the family). Relationships require something that fills them with meaning - a reason why you would want to have that relationship in the first place. Without meaning, no relationship.

I recommended reading this other post that was on HN earlier today: https://thetheorygirlie.substack.com/p/ai-was-great-until-it...

It describes in pretty grim words what happens to collaboration once you have nothing anymore to collaborate on.

> Mathematicians may still teach proofs, argue over what they mean, translate alien logic into human insight, and pass that understanding to students.

This would people to have time to understand and dissect those proofs - it doesn't work if there is a new breakthrough proof every week.

12947ahgf 7 hours ago

This is such an insidious propaganda targeted at the demoralization of entire professions. Strogatz is an AI booster who "wept". Totally representative!

How much do they pay you? Does OpenAI have bulk subscriptions to your Substack?

ThrowawayR2 7 hours ago

> "Earlier this year, Shanmu Jin, a Chinese medical resident, used ChatGPT to solve a problem called Crouzeix’s conjecture, which professional mathematicians had failed to solve for decades."

I note that that these conjectures being solved by AI are named after people, minds knowledgeable and and brilliant enough to come up with the question in the first place and recognize its value. What we have in these AI math solving systems is the equivalent of the chess and go software that can beat humans: something that can adhere to a set of rigid rules to reach a win state once given a starting point. But, as Pablo Picasso said, “What good are computers? They can only give you answers.” These AIs are a magnificent achievement and will change mathematics and coding but can they ask earthshaking questions? Could an AI identify conjectures that mathematicians recognize as a worthy question that will lead to new insights? Where is HAL9000's theorem or the M5 Multitronic's conjecture? Maybe they can someday but I don't see any immediate prospects for it.

Please spare us the "AI will surely keep getting better forever" (unlikely and don't call me Shirley), "moving the goalposts" (I myself haven't set any), etc. non-arguments.

cgearhart 8 hours ago

I still remain hopeful that this is a step change in capability and capacity that we can adopt and adapt towards our own purposes. What was taking decades for us to do has been reduced to days and dollars. So while we’re witnessing a forest fire consuming entire fields of open problems in math, the best upside would be finding new problems that come from learning how to work with the new tools.

This is what it seems like so far for software. The speed limit has changed. It’s interesting to explore what that means. Extending the analogy, long ago you could be a race car driver part time; that would be pretty laughable for an F1 driver. It’s a very specialized skill and the optimal athlete is quite different for driving a car than for running, for example. That feels like what I’m seeing in software.

The most effective folks are much faster and better with these tools than average. It’s a different skill set.

I think that formal verification makes Math much closer to code than many other fields. But I’m eager to see the first mathematicians that are dramatically more proficient with the new tools than average.

dyauspitr 3 hours ago

I mourn the loss of comfy, intellectual, thinking jobs like those of the mathematicians where people could spend time pondering without the immense pressure that would come from doing something like that in a corporate environment.

bentt 5 hours ago

I wonder how much this is like a tremendous telescope being invented which can see new worlds with utter clarity. We could verify that a planet was habitable... but it wouldn't bring us any closer to visiting it.

i_love_retros 4 hours ago

This current moment we are in feels like something out of the Remembrance of Earth's Past trilogy, bit instead of humanity becoming super depressed and hopeless about a future alien invasion we are super depressed and hopeless about LLMs destroying all our hopes and dreams.

HPsquared 8 hours ago

"I know now why you cry." - Terminator

esafak 5 hours ago

These guys are still in the early stages of grief. They should look at coders; we've already been there. Coders don't assume coding is going to remain a profession. Why should any other profession be exempt from disruption?

Honestly, there are much bigger fish to fry, like how will everyone pay their bills, and how will we prevent catastrophic AI.

Markstar 3 hours ago

...except it is exactly the opposite of your big brother destroying your tower. Instead, it is your big brother showing you this method using a tool to build many more towers at astonishing speed!

I get the sadness (and, as a software engineer, certainly feel a real existential threat myself) and feeling diminished, but at the end of the day that is all just ego and I very my agree with the end of the article - who cares who came up with it and on what shoulders we stand, as long as it is saving lives and improving our understanding of the universe!

awbvious 2 hours ago

Not sure about that title, it did bait me into a click. "Mathematicians are now facing something similar to generational trauma of structural racism born of exploitation, slavery, and colonialism?" https://en.wikipedia.org/wiki/I_Know_Why_the_Caged_Bird_Sing...

But regardless, the detection of breast cancer via AI made me think of phlogiston https://en.wikipedia.org/wiki/Phlogiston_theory . "Phlogiston theory states that phlogisticated substances contain phlogiston and that they dephlogisticate when burned, releasing stored phlogiston, which is absorbed by the air. Growing plants then absorb this phlogiston, which is why air does not spontaneously combust and also why plant matter burns. This method of accounting for combustion was inverse to the oxygen theory by Antoine Lavoisier."

It could be phlogiston. AI is super smart theory states that AI is super smart and that is a single thing can do tasks very efficiently. But it's so smart, we can't understand it, so we humans can't help it, it'll take AI to make it even smarter. That's what's holding it back. But then it'll solve everything.

Or it could be oxygen. AI is super-fast-and-parallel theory states that AI is not a magical monolith but a bunch of pedestrian programs that run fast and in parallel, thanks to hardware (GPUs) that's good at that stuff. But since it's all going so fast and at the same time, something a single human cannot do, humans can't really see how it works. But if we could, we'd probably just see its just doing stuff programs did before. So what's holding it back is that you have to keep throwing hardware at it, and eventually you run into the limits of how fast you can build that hardware or power it.

It all might be stuff humans were better at, when approached one-on-one, but against a swarm it loses. You get a billion doctors together to look at a single mammogram, then tell them if it cancerous, then do that again a billion times with each doctor. Then ask those billion doctors on the billion-and-one mammogram to give a diagnosis. Heck, do that with a billion toddlers. I think either might be able to beat the AI. I don't have a billion doctors or a billion toddlers--frankly I don't know which would be more difficult to handle.

To know if it's oxygen or phlogiston takes probably a demonstration like this "Phlogiston remained the dominant theory until the 1770s when Antoine-Laurent de Lavoisier showed that combustion requires a gas that has mass (specifically, oxygen) and could be measured by means of weighing closed vessels." Maybe the data center financing trouble will be the demonstration that the mass in the gas is just VC-money hardware.

I know why you got a billion cages with a billion birds and a billion bird listeners to compare a billion songs to the few songs we like to hear, and then packaged all that into a single bird-looking thing to make singing-like sounds: So Altman can get that VC money.

simianwords 8 hours ago

I strongly feel most angst is because Mathematics has become yet another capital intensive game to play. Rather than a noble, purely intellectual practice.

kryogen1c 8 hours ago

> Think about a world where non-mathematicians leapfrog the field after a few AI prompts. It would be a world with more knowledge. But it might be a world with less understanding.

This seems like a good summary of the article, and I think the answer here is obvious.

So what?

News flash folks: we do not have the knowledge to survive on our own. If a solar flare deletes the electric grid, the first thing that happens is 8 billion people die in the next year.

We survive on abstractions others have built, and we have a global dependency web.

AI abstracting knowledge is neither new or dangerous; if it is dangerous, this certainly isnt the argument to prove it.

viccis 5 hours ago

>I wanted to talk to one of the mourners to understand their technological grief. I wanted to know if theirs was a familiar case of bruised ego or disappointment—akin to, say, a boy who spends an hour building a tower out of blocks and watches his big brother smash the thing to smithereens—or something stranger and more profound.

I'll be honest. The response to mathematicians, even this one, makes me concerned about the lack of empathy and honestly just theory of mind of many people in tech. It's not a mystery why people are upset that their field, for many the singular passion to which they've devoted their entire lives, is being annihilated so that a massive company can boost its IPO valuation. It's not "bruised ego" ffs.

throwaway_7274 2 hours ago

‘Tech’ culture has been getting nastier, more vicious, and more zero-sum for years now. It wasn’t even all that long ago that I remember feeling hurt when a friend of mine sneered about “tech bros.”

But I get it now. I see a certain type of guy in an AWS fleece and instantly judge him, round him off to some kind of bully. Harsh, unsmiling, tweaking on stims, telling you to cry harder. Or maybe he’ll open up tell you his theory of how we need eugenic breeding facilities on the moon, or which countries we need to “glass.” It’s gotten so ugly.

I know this seems mean, too. Coming out of nowhere. Strawmanning or whatever you call it. Literally inventing a guy to get mad at. I’m aware of the irony. I don’t know. I guess it’s another kind of mourning, and I don’t know how to express it. I thought tech people were supposed to be like Woz.

andrewstuart 7 hours ago

Isn’t it deeply exciting that the proofs look so alien?

Isn’t that in itself the new frontier for human understanding?

I would have thought that mathematicians would have found alien forms of maths to be astonishingly compelling, must learn, must know, must understand.

Instead there seems to be a sort of shoulder shrugging lament “we don’t understand it”.

I would barely be able to sleep with excitement at the potential for where this could lead. Like finding an ancient tomb full of answers to our deepest questions along with the promise of more.

How deep does maths go? Is it “solved” or have we just been given tools to delve ever deeper?

Where is their curiosity - don’t the want to find the bottom?

andrewstuart 7 hours ago

I am curious.

Where or what do solving these math problems lead to?

Is there some suggestion that they lead to deeper understanding about something else? Do they solve physics problems?

What’s the benefit? What’s the point?

pixl97 7 hours ago

The interesting answer is we don't know. Many of the math problems that make our computers efficient were developed hundreds of years ago with nothing we could do with them.

It is mostly impossible to figure out what we find when we solve these problems. But occasionally they'll lead to real world efficiency in algorithms we use and it changes the world.

bowsamic 8 hours ago

I have little sympathy, since I think it is a result of many decades of complacency when it comes to thinking about why want to people do what they do and instead just enjoying being the ones with the results and money. People who love the process and see the human as inherently valuable won't have a problem. I'm more shocked that there are so many brilliant people who are so results-oriented and don't even have a concept of value outside of that. I'm kind of disgusted by the tears actually

BeetleB 6 hours ago

> I have little sympathy, since I think it is a result of many decades of complacency when it comes to thinking about why want to people do what they do and instead just enjoying being the ones with the results and money.

It's not clear from your comment: Are you talking about math professors?

If so, what money? They make a living, but it's not that great. I just checked the salary of two associate professors at my university: $80-85K.

And keep in mind they often start their careers quite late. Often multiple postdocs after PhD. Starting a tenure track position in your mid 30's is not common.

> I'm more shocked that there are so many brilliant people who are so results-oriented and don't even have a concept of value outside of that. I'm kind of disgusted by the tears actually

The whole point of the article is that the person crying is because he loves the process and is worried the human connection will be gone.

daze42 7 hours ago

This is exactly my perspective as well. Seeing humans as inherently valuable is the key. It's shocking to me that so many people seem to have been reducing humans to the results they are able to produce and now that the results appear to be drying up, their perception of their own human value is going down with it.

preg_match 3 hours ago

It’s not necessarily their fault. Our economic system puts zero intrinsic value in humans, it only puts value on their output. It’s hard not to feel this type of way when it’s the only system you know.

bowsamic 7 hours ago

I’m fully STEM: software developer with a physics PhD with a mechanical engineer wife, but this is certainly just deserts for the STEM people, who mocked the humanities and especially philosophy for centuries (literally, this started back with Kant even) for spending time thinking about these questions. STEM people are not at all spiritually prepared for it, and this is the main disappointment for me. I spent many years struggling with publish or perish in physics but all those around me claimed they simply loved doing physics and that that’s what mattered. Now as soon as their exclusive ability to give results is slightly threatened the love of physics/maths/coding is no longer spoken about. I get maybe they weren’t the same people, but I thought more people loved the process than it seems today. If anything these new developments make it even clearer for me what I love about this kind of work. I’m so happy it has made me not have to defend based on results, a razor sharp contrast that makes it so clear really why humans do things

chasd00 2 hours ago

randcraw 8 hours ago

Your loved ones have replaced you with more agreeable robots. Now no one cares whether you live or die.

Still disgusted?

bowsamic 7 hours ago

Anyone who would replace me with a robot never loved me anyway. If that happened I would go and seek out the humans who really do care, and take solace in the fact that Christ will always love me

BeetleB 6 hours ago

keybored 4 hours ago

Of course the other Abundance guy joins in on the AI Inevitability Soothsaying.[1] It really is the perfect vector for the AI sirening. You just take the inevitability and awesomeness as a given. That’s the real point. But you write about the “grief” and the loss of “identity” and psychology—oh my the feelings. See, we are left-liberals and we care so much about people’s feelings. All the investor class and their hype is perfectly on track is about to fuck us the rest of us. But the feelings about people can’t “understand” and “discover” is what matters.

[1] https://news.ycombinator.com/item?id=48387092

mikojan 6 hours ago

> we may come to value more highly what remains uniquely human: our capacity to relate and to care for one another

...under capitalism...

Sure we will...

marketgarden 8 hours ago

ahem

sdcfgy 8 hours ago

I weep because the money was bad.

Kalendermann 7 hours ago

Getting those fields wiped just shows how unnecessary those fields where in the first place. I'm a programmer. I am the adapter between a stakeholder and a machine. I am just needed because the stakeholder lacks the knowledge to tell the machine what he wants. If he can use this new fancy adapter called Agentic AI now I happily quit my job and go on finding something that makes more sense in the first place.

The same goes for math.

Let's find some things that bring value other than just the price of a stock.

pixl97 7 hours ago

Broken take, with out this trail of mathematics that lead us here we'd have never reached this place. You think multi dimensional matrix math comes natively to humans?

At worst its time is past, but even that is unlikely.

trentnix 6 hours ago

I want to sympathize, but most of the whining in the article seems like gatekeepers bemoaning their gates being blasted off the hinges.

Are there any mathematicians who are genuinely excited about this tremendous leap forward in mathematical knowledge? Where are those articles?

chasd00 2 hours ago

> gatekeepers bemoaning their gates being blasted off the hinges.

i think that's 85% of the response from software devs if not more. All of the devs I know who actually like to build have embraced AI and the new capabilities that come with it. The ones that guarded their little corner of code proclaiming only they, and their inner circle, have the power to comprehend it are the ones crying in the corner.