‹ BackHN Continuity

Thread

What's the future for pure math research in the age of AI?

59 points · 46 comments · 6bitquant

  1. ghusto · · focus · HN ↗
    The desperately needed TL;DR is that perhaps the actual mathematics itself (i.e. proofs, calculations, etc.) can be done by AI, but why we do it and deciding which problems to solve can only be done by AI. Therefore mathematician do maths.

    I'm not a mathematician, but this seems like a weak and slightly bizarre argument.

    1. smitty1e · · focus · HN ↗
      If training data are purely historical, then how does the AI look forward?

      And if human mathematicians are drummed out of producing future training data, then can AI end up proving itself so much "eating the seed corn", only at scale?

      1. sedan_baklazhan · · focus · HN ↗
        This applies to all professions, not just mathematicians.

        The most common answer I’ve heard so far is “well, AI will train on its own output… maybe”.

        I don’t think that’s even possible.

        1. demibabs · · focus · HN ↗
          AI training on its own output is (probably) fine if it’s validated, like a lean-verified proof to Navier-Stokes.

          Because it being validated as correct resolves the main issue with incestuous training, which is compounding error.

          1. smitty1e · · focus · HN ↗
            But from whence come the fresh insights?
            1. s1artibartfast · · focus · HN ↗
              The AI provides fresh insights as the output.

              AI creates novel discovery> incorporates this information > makes new discovery

              This is how it works for humans too.

              1. smitty1e · · focus · HN ↗
                One wonders at the fresh/derived breakdown.

                "AI slop", for example, appears a regression toward some "mean".

                1. s1artibartfast · · focus · HN ↗
                  This is also how it works for humans too. What portion of human art produced in 2025 or 1925 do you think was fresh and novel, compared to derived and repetitive?

                  The same is true for science and Engineering.

                  What matters is if you have a method of sorting through the repetitive trash

                  1. smitty1e · · focus · HN ↗
                    It's not my contention that AI & people do not both conform to Sturgeon's Law[0].

                    Rather, that AI is unlikely to produce a fresh Marcin Patrzalek[1].

                    [0] <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Sturgeon%27s_law" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Sturgeon%27s_law

                    [1] <a href="https:&#x2F;&#x2F;youtu.be&#x2F;zbfKFa-reBE?is=pHxTCFcfyU0evbvi" rel="nofollow">https:&#x2F;&#x2F;youtu.be&#x2F;zbfKFa-reBE?is=pHxTCFcfyU0evbvi

Open on Hacker News to reply ↗

Unofficial Hacker News client; not affiliated with Y Combinator.