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My Mental Model of AI Broke on September 8
41–50 of 70 posts
Re: My Mental Model of AI Broke on September 8
#42Earlier quoted context omitted.
This is copium. Humans worked on it, but they didn't come close to actually solving it. Even if you do the whole "the AI looked at material in its training data" thing, modern AI can make their own math data to train on with RLVF. This new model is legitimately on a different plane of existence from modern mathematicians.
it should be able to solve some of the five left Millenium Prize problems then in a few weeks.
Re: My Mental Model of AI Broke on September 8
#43Re: My Mental Model of AI Broke on September 8
#44From the expose in Terence Taos blog [1], it seems the difficulty of the Navier-Stokes counter example is a delicate balancing act between having a blow-up solution and a well behaved force field. And this involves a lot of technical arguments based on already existing ideas.
If this is true, then the achievement of the AI is rather to correctly navigating this balancing than inventing something completely new.
[1] https://terrytao.wordpress.com/2026/09/07/finite-time-blowup...
Re: My Mental Model of AI Broke on September 8
#45Earlier quoted context omitted.
You could say that about every scientific/mathematical breakthrough. Einstein's Special relativity depended heavily on Lorentz's work, the Michelson-Morley experiments, Maxwell's equations. Grigori Perelman, the only person to have solved a Millenium Prize problem, noted how his work was only possible due to Richard S. Hamilton's work on Ricci flow. Most scientific breakthroughs are just the completing the last 5% of…
Einstein literally stated he was not influenced by the Michelson-Morley experiments, but it's a common myth that he was. "When Ι asked him how he had learned of the Michelson Morley experiment, he told me that he had become aware of it through writings of Η. Α. Lοrentz, but only after 1905 had it come to his attention! "Otherwise" he said, "I would have mentioned it in my paper!" indeed, Einstein's 1905 paper contain…
>https://link.springer.com/chapter/10.1007/978-3-663-19510-8_...
Re: My Mental Model of AI Broke on September 8
#46Earlier quoted context omitted.
Einstein literally stated he was not influenced by the Michelson-Morley experiments, but it's a common myth that he was. "When Ι asked him how he had learned of the Michelson Morley experiment, he told me that he had become aware of it through writings of Η. Α. Lοrentz, but only after 1905 had it come to his attention! "Otherwise" he said, "I would have mentioned it in my paper!" indeed, Einstein's 1905 paper contain…
That may be true, but Lorentz specifically cited the MM experiments and was influenced by them, and Einstein cited and was influenced by Lorentz, so he was influenced, just one level removed. > https://link.springer.com/chapter/10.1007/978-3-663-19510-8_...
Re: My Mental Model of AI Broke on September 8
#47Earlier quoted context omitted.
That may be true, but Lorentz specifically cited the MM experiments and was influenced by them, and Einstein cited and was influenced by Lorentz, so he was influenced, just one level removed. > https://link.springer.com/chapter/10.1007/978-3-663-19510-8_...
Which he only became aware of after the paper...
https://www.fourmilab.ch/etexts/einstein/specrel/specrel.pdf
Re: My Mental Model of AI Broke on September 8
#48Earlier quoted context omitted.
I interpret the word 'parrot' to mean incapable of creative or original thought. Solving a major maths problem that has resisted the best mathematicians for so long seems to prove otherwise (even if it were just a matter of remixing old ideas, which is not the case here). What do they need to do for you to consider them non parrots, and do you consider a lot of humans as parrots?
> Solving a major maths problem that has resisted the best mathematicians for so long seems to prove otherwise (even if it were just a matter of remixing old ideas, which is not the case here). I don't think we know enough about how they work to claim that. OpenAI said they had 10 THOUSANDS agents working on the problem, testing all ideas they found in the literature (including, it seems, the breakthrough of the guys…
Re: My Mental Model of AI Broke on September 8
#49I'm continually perplexed by people's perception that AI would be incapable of generating new ideas or discoveries, even years ago. Deterministic machines do the same stuff again and again. Add entropy and they do new original stuff. Add a checker or verifier and you can filter for new stuff that is better. At the very least here, you now have evolution. There is nothing that is particularly compelling about a system…
No, no. Any random sentence generator can generate original idea. Actually it is said that randomness contain all the answers. You don't need a "meat brain" to do that.
Re: My Mental Model of AI Broke on September 8
#50Earlier quoted context omitted.
You could say that about every scientific/mathematical breakthrough. Einstein's Special relativity depended heavily on Lorentz's work, the Michelson-Morley experiments, Maxwell's equations. Grigori Perelman, the only person to have solved a Millenium Prize problem, noted how his work was only possible due to Richard S. Hamilton's work on Ricci flow. Most scientific breakthroughs are just the completing the last 5% of…
Einstein literally stated he was not influenced by the Michelson-Morley experiments, but it's a common myth that he was. "When Ι asked him how he had learned of the Michelson Morley experiment, he told me that he had become aware of it through writings of Η. Α. Lοrentz, but only after 1905 had it come to his attention! "Otherwise" he said, "I would have mentioned it in my paper!" indeed, Einstein's 1905 paper contain…