The limitations of “truth knowing” using an autoregressive transformer are much more pressing than anything implied by Gödel’s theorem. This is like appealing to a result from quantum physics to explain why a car with no wheels isn’t going to drive anywhere.
I hate when this theorem comes up in these sort of “gotcha” when discussing LLMs: “but there exist true statements without a proof! So LLMs can never be perfect! QED”. You can apply identical logic to humans. This adds nothing to the discussion.
