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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

#201

Post by natsucks »

sashank_1509 wrote: post #116

This is all a depressing and bleak future that I don’t look forward to. One solution is to ban LLM’s, to artificially create a demand for human thought, that just feels like living in an artificially constructed zoo. Another solution is humans don’t do anything that AI can do better , / doesn’t need the human touch. So I suppose we will all become artists, sportsmen or politicians, the only jobs that will remain exce…

call me naive, but i really think the pursuit for the new, the better, the interesting, is boundless and humans will never stop. and so for those of us that dream and push and are plain curious will never run out of ways to be useful. and hopefully the fruits of all this tech will be ample enough to support the ones that don't want to or can't participate in that way.

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

#202

Post by Jweb_Guru »

amelius wrote: post #70
mw67 wrote: post #14

Crazy how intelligence is cheap, efficient and commonplace now. We humans better refocusing our energy on our core values/principles, given most of our skills are becoming irrelevant

Everybody can be an armchair mathematician now. Just fling some thoughts in the direction of your AI setup and let it do breadth first search with AI based pruning heuristics.

If you really believe this, try to use GPT 5.6 to prove an open problem you know nothing about. You might get lucky, but if you don't, you will soon discover that 5.6 can make "progress" towards a theorem without actually getting anywhere pretty much indefinitely.

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

#203

Post by Jweb_Guru »

throwaway1707 wrote: post #132
threethirtytwo wrote: post #108

Genuine question: If you still or did think LLMs are just stochastic parrots that just summarize everything and have no form of creativity, what do you think after seeing results like this? I'm very curious how people reconcile their fear/hatred of AI with actual objective reality. This is actually what interests me most about the whole AI thing. How we tell ourselves what we tell ourselves.

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…

> Why is it only GPT doing this, why not Claude?

Because Claude can't do it. Anyone who tells you that Fable is better than GPT 5.6 at pure math is lying to you.

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

#204

Post by emp17344 »

qarl2 wrote: post #169
piloto_ciego wrote: post #164

Earlier quoted context omitted.

A lot of people who thought they were special and “better” than mere blue-collar workers are realizing that in fact;l they are the same just working with a different medium.

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]

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

#205

Post by dudul »

piloto_ciego wrote: post #159
sashank_1509 wrote: post #116

This is all a depressing and bleak future that I don’t look forward to. One solution is to ban LLM’s, to artificially create a demand for human thought, that just feels like living in an artificially constructed zoo. Another solution is humans don’t do anything that AI can do better , / doesn’t need the human touch. So I suppose we will all become artists, sportsmen or politicians, the only jobs that will remain exce…

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…

If anything one wants to make is now possible to make, how is anyone supposed to make a living?

Can I make food with LLMs? Can I build a house and make clothes? This is stupid. No real wealth is being created for the general population here.

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

#206

Post by varenc »

applfanboysbgon wrote: post #10

Two points: - Hasn't been peer reviewed yet, so take with a grain of salt. This applies to all claimed proofs, not just AI-generated ones. Even humans hallucinate proofs too! - The prompt is on page 27 here[1]. It is ten pages of advanced mathematics priming the model in the right direction, apparently informed by a year of prior research. That doesn't invalidate the result if it is genuine, but it is worth noting th…

Digression: You can link directly to a page in a pdf with a url like this: https://arxiv.org/pdf/2607.13335#page=27

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

#207

Post by piloto_ciego »

paytonjjones wrote: post #189
piloto_ciego wrote: post #159

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…

People like being needed and important to other people. That isn't some artifact of capitalism; it exists across all times and cultures.

Sure, but it is certainly magnified when you need to make money to justify your right to exist.

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

#208

Post by piloto_ciego »

nilamo wrote: post #185
WarmWash wrote: post #170

Earlier quoted context omitted.

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.

On the other hand, exploring any of your interests without needing to calculate how it can cover rent means you have more time and opportunities to actually do things you're interested in. Working all day, then not wanting to do much else after because you're tired, is also fun for all of 30 minutes.

Right!? Like imagine we could use this stuff to solve world hunger, develop robots to clean up the oceans, or colonize space?

People are all “shucks how am I going to be able to justify my career at $job” and are missing the bigger opportunity. Such a lack of imagination I see…

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

#209

Post by derac »

raincole wrote: post #199
sashank_1509 wrote: post #116

This is all a depressing and bleak future that I don’t look forward to. One solution is to ban LLM’s, to artificially create a demand for human thought, that just feels like living in an artificially constructed zoo. Another solution is humans don’t do anything that AI can do better , / doesn’t need the human touch. So I suppose we will all become artists, sportsmen or politicians, the only jobs that will remain exce…

It genuinely scares me that some people's first reaction to this news is banning LLM.

Maybe we should also burn books and lobotomize ourselves to make science more fun and challenging. The ego here sickens me. I don't care about your ego. I want accelerated material science, medical science, energy, better outcomes for people across the world.

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

#210

Post by piloto_ciego »

dudul wrote: post #205
piloto_ciego wrote: post #159

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…

If anything one wants to make is now possible to make, how is anyone supposed to make a living? Can I make food with LLMs? Can I build a house and make clothes? This is stupid. No real wealth is being created for the general population here.

I literally have had various LLMs generate 3d printable plans for things I have used. Also, I am literally making a living right now being something between a dev and SME and building tools for people in an industry I’m familiar with.

Dream bigger buddy! We can make the world better, we’re not powerless here.

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