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GPT-5.6 used a prompt to close a 30-year gap in convex optimization

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Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#251
post #169

Earlier quoted context omitted.

I see a trend line from anti-AI back to anti-evolution to vitalism all the way to Galileo. Humans have a deep need to be special magic flowers - and they can't stand it when science eventually shows them they're not.

[flagged]

I hope you understand you're proving my point. Ad hominem doesn't fly well around here.

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#252
post #45

Earlier quoted context omitted.

> While they’ll never have the same subjective experience as humans You state this as a fact - are you aware the question is unresolved? EDIT: I'd love to know why you're downvoting me for stating a known fact.

Ok, I guess never is a real long time and eventually when we merge our consciousness with the machines we may have the same subjective experience. I can confidently state that GPT-5.6 Sol is not experiencing the same reality as me. They _might_ be "experiencing" and I personally think they are, but their reality and experience is not the same as ours.

Well, sure. I'm not experiencing the same reality as you, either. I guess I assumed you were implying something more - a lesser experience or something. No?

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#253

Earlier quoted context omitted.

I had to create an account to respond to this because I am quite convinced these math problems they are "solving" are pure marketing. Why is it only GPT doing this, why not Claude? Why does Terrance Tao do marketing for OpenAI? I suspect OpenAI has hired math researchers to solve obscure problems and put them in their training set, purely for marketing reasons. There was a good comment on the Pelican bicycle svg yest…

Terrence Tao getting paid by openAI is, to you, the most probable conclusion... much more so then the LLM actually being able to come up with math proofs?

Terrance Tao has for a fact appeared in promotional material for OpenAI. Based on my Googling the consensus seems to be he is paid for it, but I cannot confirm that.

I do think it's very likely that OpenAI pays for solutions like these to put in the training set, and then we get material like this Reddit thread. They market themselves as selling "intelligence", and solving these math problems is something people view as highly intelligent. I'm not a mathematician, so I cannot fully judge it, but based on my experience using LLMs for novel problems in other domains, they seem to really struggle with things that aren't common. That leads me to believe they train for specific outcomes like this. Also, there are a lot of jobs out there for data annotation, including software problems (Meta has basically reorganized its entire engineering department to create training data for coding problems).

This comment on the Pelican svg better articulates what I'm getting at: https://news.ycombinator.com/item?id=48950883

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#255
post #100

The problem is that we're going to have another deepseek moment when someone uses GLM or Kimi K3 to do this.

What was the first DeepSeek moment? (genuine question, I'm out of the loop on what you mean)

I guess when cheap Chinese model was very close to SoTA models

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#256
post #236

Earlier quoted context omitted.

I think that your take is quite optimistic. Having published in top tier journals my only experience is that mathematicians care about what other mathematicians worked on and failed to solve. Theory building papers are dime a dozen and don't get published in high tier journals unless they solve a problem. Math is such that most theories are built after solving a problem and actually don't solve a larger class of prob…

If your complaint is about the type of work that gets you published in a fancy math journal, then I'll happily join you on the barricades. Sure, getting a paper into Annals of Mathematics or whatever is more game than art in the sense I think you mean here. But "what mathematicians care about" is much, much broader than what gets you published in a fancy journal. Mathematics as a human activity is millennia old, much…

Very fair. But when you say "What mathematicians care about", you are taking about mathematicians today, who really care mostly about politics

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#257
post #239
post #227

Earlier quoted context omitted.

It seems to me you hooked onto the wrong part of proofs vs software compared to what OP meant. The difference OP cares about isn’t how much one cares about style. Instead the important difference lies in validation. A proof can be validated as either correct or wrong. That type of hard feedback really helps combat the optimism and desire for shortcuts of modern models. Now, that still doesn’t help an LLM distinguish…

No, what I'm saying is that I don't agree that taste in mathematics is more uniform than taste in coding! Mathematicians argue about taste all the time. Just as you might look at a piece of code and agree that it compiles and doesn't have any fatal bugs but still think it's badly written, hard to follow, hard to modify, or whatever else, mathematicians judge mathematical work using very similar criteria.

Maybe a subset of mathematicians, but if someone proved that RH was undecidable we would still give them the millennium prize.

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#258
post #58

If I recall correctly there was a proposed proof to the abc conjecture by Mochizuki https://en.wikipedia.org/wiki/Abc_conjecture#Claimed_proofs which was rejected due to being rather inpenetrable to humans. Shouldn't this be an ideal target for LLMs?

Similarly, I'd love to see LLMs create a formal proof of the https://en.wikipedia.org/wiki/Classification_of_finite_simpl...

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#259

Earlier quoted context omitted.

This is utopian friend! Literally anything you wanted to make is no plausible to make if not now then in the next couple years. The thing you’re worried about is capitalism and the connection with working to having the right to keep living. If you can throw off that mental shackle you can start to see how this can be amazing, but you have to drop the idea that everyone has to work at a job for someone else to provide…

You ever play a video game with god mode cheats enabled, so you can unlock all the unlocks, get all the best gear, and be an unstoppable force with unlimited money? Yeah, it's fun for 30 minutes.

Exactly, a lot of people keep attacking me as anxiety for losing my livelihood. It’s not that.

It’s just depression that another avenue for human craftsmanship has been taken over by the machines. Humans are not just infinite consumers. If AI solves all of humanity problems, it’s like living in a zoo, not a life worth living imo.

Re: GPT-5.6 used a prompt to close a 30-year gap in convex optimization

#260

> I don't think researchers in math/TCS will be made obsolete, but I think it will instead no longer make sense to work on any low-hanging, or even medium-hanging (you know what I mean) fruit. We'll be needed for problems where actual novel approaches are needed. I wonder how this compares to what we see happening with "juniors" in software development? In math research, do you also get the training for the professio…

Around here AI isn't really more of a threat to juniors than it is to seniors. It's a threat to the people who have been taught "recipies" rather than applied computer science. You can have excellent seniors who can do TDD, DRY, SOLID and so on, who also happen to have no idea what a L1 cache miss is. The current AI models know all of those things, but they struggle applying them correctly without someone piloting th…

It's funny how you applied on your own argument several logical fallacies about why ai is only a threat to people who have been taught "recipies" versus who know what L1 cache miss is.

Actually it's sad there are people out there dumb enough to believe knowing L1 cache is any different than knowing recipies when it comes to the story which jobs AI will take. I'm convinced by now it will be the jobs of those people believing such crap.

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