"The AI does not seem to have "understood" that I was also criticizing the classical principles of music, which vary greatly in Pythagoras, Aristotle, Aristoxenus, and Ptolemy, all of whom I critique. I am not really in the camp of Fr. Ripperger, which is the reflexive position of Thomists who have never studied modern mathematics or physics, but accept these as a fait accompli, without understanding that they are in conflict with their own philosophical principles. (They are afraid of being ridiculed by scientists, so they create two separate intellectual containers that do not speak to each other.) It is not so much a problem of confusing the real and mathematical orders, but of the deficiency of both the modern and classical mathematical orders to describe corporeal reality. Plato was no less grounded mathematically than Descartes, but they came to radically different philosophical conclusions. And this is because their mathematics imply vastly different understandings of reality and how we come to know it. So also my eidetic mathematical principles."
I The breakdown between modern and classical frameworks happens because most thinkers try to force corporeal reality into mathematical containers that were never built to hold it. When mainstream Thomists or followers of figures like Fr. Ripperger encounter modern physics, they often panic. Terrified of being mocked by the scientific community, they split their brains into two isolated compartments: one for traditional philosophy and one for modern science. They accept modern math as an absolute truth without realizing it fundamentally contradicts their own philosophical foundations. This is not just a simple mistake of mixing up abstract math with the real world. It is a fundamental failure of both systems: ┌─────────────────────────────────────────────────────────────────┐ │ THE CORPUS (REAL REALITY) │ └───────────────────────────────┬─────────────────────────────────┘ │ ┌────────────────────────┴...