To me, the expression "The set of undescribable numbers" is meaningless. While discussing plausible-sounding, but meaningless, linguistic constructs like this,

To me, the expression "The set of undescribable numbers" is meaningless. While discussing plausible-sounding, but meaningless, linguistic constructs like this, we descend to the intellectual level of chatGPT. My conjecture is that one can design a prompt to chatGPT such that the output would become a decent PhD thesis with no internal contradictions, but a complete BS otherwise.