I have thought of this as framing a paradox for the impossibility of strong AI. Turing machines can never really be embodied. They can always move to a differ

I have thought of this as framing a paradox for the impossibility of strong AI. Turing machines can never really be embodied. They can always move to a different substrate. So intuitively, they don't have skin in the game in the same way that living things do. Mathematically, they are unable to represent the real numbers, only the rational numbers. Maybe this intuition is what you're getting at here.