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We're gonna need a lot more mathematicians

407 points · 504 comments · srcreigh

  1. metalspot · · focus · HN ↗
    There is a failure to understand that the process is the result. You don't study mathematics or computer science and information theory to produce commodities. You study them to transform your mind. The output of an LLM is useless without a human mind to comprehend it. We can have Super Intelligence, but if humans are incapable of comprehending it, it is just another useless dead artifact. Practice, applied over a lifetime, is what creates the capability for comprehension. Asking an LLM to give you an answer creates an artifact. Humans being humans, most of their requests boil down to "make me rich without having to work for it," so the request itself is paradoxical and impossible to satisfy. Philosophers have only been saying this for all of human history, so don't hold your breath for any breakthroughs.
    1. eli_gottlieb · · focus · HN ↗
      > You don't study mathematics or computer science and information theory to produce commodities. You study them to transform your mind.

      Normatively, this ought to be true. Descriptively, this is of course false. Our entire society is organized around producing commodities, typically by consuming people as inputs.

      1. xanderlewis · · focus · HN ↗
        It’s not ‘of course false’, and, to be honest, I can only assume you have little idea what mathematicians actually do.

        Most pure mathematicians are no more interested in ‘producing commodities’ than any other academic is. That’s not what the subject is about — at all. The confusion arises because mathematics turns out to be extremely useful (no surprise; it’s quite useful to have a detailed understanding of the basic principles of reality).

        Again, this seems to be an alarmingly common fallacy here on HN. As a commenter above observed, pure mathematics (and that is what we’re talking about here) is in important ways closer to the humanities than it is to other sciences.

        1. eli_gottlieb · · focus · HN ↗
          I was talking primarily about the majority of people who study mathematics, or anything else, who don't end up full-timers at it. I think we'd live in a better society if there was a serious possibility that everyone who studied math in undergrad could actually go on to be a mathematician if they wanted.
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