I’m possibly being obtuse here, but I still don’t see the connection to the incompleteness theorem. I don’t deny that any consistent theory capable of expressing arithmetic must be incomplete, but what does that have to do with the argument you offered above? That argument doesn’t hinge on incompleteness, as far as I can see.
I’m possibly being obtuse here, but I still don’t see the connection to the incompleteness theorem. I don’t deny that any consistent theory capable of expressing arithmetic must be incomplete, but what does that have to do with the argument you offered above? That argument doesn’t hinge on incompleteness, as far as I can see.