>>yters+Ui
Any chaotic system (highly sensitive to initial conditions) is practically uncomputable for us, because we have neither the computational power nor the ability to measure the initial conditions sufficiently accurately. Whether there is some lowest level at which everything is quantized, or it's real numbers all the way down, is an open question.
I don't think your argument will seem compelling to anyone who doesn't already have a strong prior belief that the mind is non-physical.