I understand that if we posit a super-Turing machine in which arbitrary positions on a continuum can be maximally expressed as finite values what I am saying does not logically follow.
However, I would argue that such a super-Turing machine is logically impossible. In principle continuous values cannot be physically manifested with certainty or arbitrary precision regardless of what world we are in.
Positing such a super-Turing machine is like saying "I have a square circle in my pocket".
However, I would argue that such a super-Turing machine is logically impossible. In principle continuous values cannot be physically manifested with certainty or arbitrary precision regardless of what world we are in.
Positing such a super-Turing machine is like saying "I have a square circle in my pocket".