My thought is either way AGI is impossible. If we are entirely math, it seems unlikely the mind can understand itself. I.e. there is minimal program that repr

My thought is either way AGI is impossible. If we are entirely math, it seems unlikely the mind can understand itself. I.e. there is minimal program that represents the mind, and if the mind understood itself, then it'd contain a compression of itself, which is this minimal program. However, now the minimal program representing the mind containing the mind (MCtM) is bigger, so the MCtM does not contain itself. A rebuttal is that perhaps there is a fixed point where the size does not keep increasing. If there is something non-mathy about the mind, then of course it cannot be captured (entirely) as a mathematical equation. This would imply religious concepts such as the soul are true, but if we can detect the non-mathy aspect then it is still scientific. We'd have a scientific religion.