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1. aogaili · 1790086544 · focus · HN ↗

   If the problem was solved by anyone before or if a similar problem has been solved, then LLMs seem to be able to solve them which is an astonishing piece of technology.

   I'm personally not sure if it can come with original thinking and techniques to solve completely novel problems. For that, some imagination and thinking outside the box are required, and I doubt the current architecture can do any of this.

   1. mitthrowaway2 · 1790086708 · focus · HN ↗

      What's an example of a completely novel problem?

      1. LegionMammal978 · 1790092692 · focus · HN ↗

         <a href="https:&#x2F;&#x2F;mathoverflow.net&#x2F;q&#x2F;511601" rel="nofollow">https:&#x2F;&#x2F;mathoverflow.net&#x2F;q&#x2F;511601 is a fun little math problem that came up in one of my projects, I didn&#x27;t have any reason to expect it to be particularly tough, but none of the models I&#x27;ve thrown at it have been able to solve it past a few minor reductions and special cases.

         I expect that there is some relatively easy-to-state solution to this problem, but that it&#x27;s different in form from what most existing proofs and tools yield. Perhaps if I dumped millions of dollars into it an agent might chance on the solution. Or perhaps my luck is such that my fun little problem is truly intractable...

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