Hah! A variant of the liar's paradox!... For those who don't know about this paradox, let me explain it. We have now the situation that GPT-4 itself states it

Hah! A variant of the liar's paradox!... For those who don't know about this paradox, let me explain it. We have now the situation that GPT-4 itself states it can hallucinate. Let's say this is true. Then case closed. GPT-4 can hallucinate. But what if this is not true? Then case closed. We have proven that GPT-4 has hallucinated in at least one case.