Comment by baq

2 months ago

sol medium can't believe its own input and output tokens either despite computing everything itself; this is what it gave me:

> Taken literally, these two facts would make this map a counterexample to the complex Jacobian conjecture in dimension 3: scaling one output coordinate would normalize the determinant to 1 without restoring injectivity. Since the complex Jacobian conjecture is still treated as an open problem, this strongly indicates that the displayed formula has been mistranscribed or contains a subtle typographical error.

quite interesting indeed!

Just take it as more confirmation that LLMs are unintelligent pattern-matchers.

  • You must never have faced a situation where you can't believe your eyes. It takes a certain level of - dare I say it - intelligence and maturity to consider that it's more likely you've made a mistake than that you've made a huge breakthrough.

    In HN terms - it's never the compiler. Yes, very occasionally it might be the compiler, but you're better off assuming it's a bug in your code.

    • > In HN terms - it's never the compiler. Yes, very occasionally it might be the compiler, but you're better off assuming it's a bug in your code.

      Conversely:

      - if your company has an internal compiler team then it's likely the compiler because they broke it.

      - if it's not the compiler, you're not pushing it hard enough.

  • Hmm, which of these is simple pattern matching?

    1) refuting the Jacobian conjecture

    2) keep repeating the same disproven statement, because your priors can’t be affected by new evidence