> By establishing the mathematical certainty of hallucinations, we challenge the prevailing notion that they can be fully mitigated Having a mathematical proof is nice, but honestly this whole misunderstanding could have been avoided if we'd just picked a different name for the concept of "producing false information in the course of generating probabilistic text". "Hallucination" makes it sound like something is goi…
Your argument makes several mistakes. First, you have just punted the validation problem of what a Normal LLM Model ought to be doing. You rhetorically declared hallucinations to be part of the normal functioning (i.e., the word "Normal" is already a value judgement). But we don't even know that - we would need theoretical proof that ALL theoretical LLMs (or neural networks as a more general argument) cannot EVER att…
No they aren't: When you flip a coin, it landing to display heads or tails is "normal". That's no value judgement, it's just a way to characterize what is common in the mechanics.
If it landed perfectly on its edge or was snatched out of the air by a hawk, that would not be "normal", but--to introduce a value judgement--it'd be pretty dang cool.