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I vibed a proof of Conway's conjecture

271 points · 297 comments · m-hodges

  1. sigmar · · focus · HN ↗
    >I’ve emailed some of the mathematicians with a few proposed typo fixes, and I got confirmation that at least a few of those fixes seemed real. However, some of the problems that weren’t backed by Lean also turned out to be misunderstandings.

    I think this project is really neat, but is it appropriate to cold email specialists before you've put in enough hours of effort to describe yourself as more than an "amateur"? OP's emails may have been helpful, but billions of people use these LLMs to wade into new areas and email is already low signal-to-noise.

    1. vessenes · · focus · HN ↗
      A counterpoint - I was told a story by one of my professors in the late 1990s, about one of his professors -- he'd written a thesis, gotten hired somewhere like Princeton, and taught there for a few years as Dr. <Somebody>. One day he received a letter pointing out a construction flaw in his thesis. He brought it to the department head who read the letter, and said "Well, Mr. Somebody, ..." Ultimately he fixed the proof.

      Upshot, if there are real errors in published work, I think most mathematicians want to know about them.

      1. stevemk14ebr · · focus · HN ↗
        Yea but that was a person who actually put in work and had to think about and understand the problem. They didn't just generate something with a magic box.
        1. chasd00 · · focus · HN ↗
          > They didn't just generate something with a magic box.

          It doesn't matter who found the error nor how it was found. An error is an error.

          1. bonoboTP · · focus · HN ↗
            This issue really separates the wheat from the chaff. The dirty secret is that a lot of academic published work contains errors but the authors also have fragile egos. It reminds me of when Data Colada exposed someone for fraud and they accused the exposers of "methodological terrorism" (something in psychology or social science). Just imagine what happens once papers get exposed at scale.

            Now here there was no fraud just genuine error, but it will annoy people nonetheless and scrape their ego that someone uninitiated can just type some stuff in a magic box and conclude that they, the established published, tenured mathematician with awards and medals can be wrong.

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