[–] 6 points 1 day ago

Extremely funny. There's a similar situation in math where almost everybody is implicitly using one set of axioms (ZF/ZFC) because they're highly expressive, intuitive, and not known to be inconsistent. There's a hypothetical scenario where somebody discovers a proof that ZF(C) is inconsistent, rendering the vast majority of mathematics "invalid." But nobody is really concerned because on a purely intuitive level, you should be able to transfer the vast majority of mathematics to a different formal basis without issue, since it's all generally done at a different level of abstraction anyway. You'd have to somehow accidentally exploit the inconsistency of ZF(C) to get bit, which is unthinkable. ... Unless you're an LLM, I guess.

  • source
  • [–] 3 points 3 days ago (7 children)

    Gotta add context for readers.

    Of all the numbers to call boring you picked the Grothendieck prime.

    2 is unambiguously prime. The best motivation for the definition of primality I know is the fundamental theorem of arithmetic: every integer greater than 1 can be uniquely decomposed into a product of primes. That's what primes are, and the uniqueness constraint is why 1 is not prime.

  • source
  • parent
  • context
  • [–] 6 points 1 week ago*

    That doesn't follow. What I think you mean is that by defining the constraints so rigorously, you've basically solved the problem yourself. But that's exactly the point. The LLM isn't the problem solver, it's the execution engine that does the wiring-up and the ticking of boxes. The easy part, arguably, sure. But still considerable effort that can be saved, and that effort may be better spent on the problem-solving + constraint-defining stage.

    Mandatory disclaimer that this is not a pro-AI post. I also don't agree that this setup works, anyway. It's a classic Bob Martinism, the idea that writing good enough specifications makes the implementation irrelevant; it's the type of idea that is allergic to reality

  • source
  • parent
  • context
  • view more: next ›