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Comment by bbor

3 hours ago

To keep my usual rant short: I think you’re assuming a categorical distinction between those two types of innovations that just doesn’t exist. Calculus certainly required some fundamental paradigm shifts, but there’s a reason that they didn’t have to make up many words wholesale to explain it!

Also we shouldn’t be thinking about what LLMs are good at, but rather what any computer ever might be good at. LLMs are already only one (essential!) part of the system that produced this result, and we’ve only had them for 3 years.

Also also this is a tiny nitpick but: the fields medal is every 4 years, AFAIR. For that exact reason, probably!

We have had LLMs for much longer than 3 years.

  • I took humans thousands of years, then hundreds of years, to come to terms with very basic concepts about numbers.

    Its amazing to me when people talk about recombining things, or following up on things as somehow lesser work.

    People can't separate the perspective they were given when they learned the concepts, that those who developed the concepts didn't have because they didn't exist.

    Simple things are hard, or everything simple would have been done hundreds of years ago, and that is certainly not the case. Seeing something others have not noticed is very hard, when we don't have the concepts that the "invisible" things right in front of us will teach us.

  • No, we haven't, for any reasonable definition of L.

The fundamental paradigm shift is the categorical distinction. And what would constitute many new words for you? It introduced a bunch of concepts and terms which we take for granted today, including "derivative", "integral", "infinitesimal", "limit" and even "function", the latter two not a new words, but what does it matter? – the associated meanings were new.