[Eric]

The terms “infinite” and “eternal” are of the form, immeasurable. You cannot assign a number to them, so, they are also NOT mathematical.

Then why does mathematics thinks it's dealing with infinity? The infinite set, transfinite, etc?

If something is finite, it can be measured or a number can be obtained for it. What’s the confusion

Any value >0 is an approximation. An axiomatic methodology derives theorems that are called "proofs" and can be used as such in application, but to say that mathematics as a whole is provable theoretically, is to say "we assume therefore we know". An axiom, of course, being an assumption.

Mathematics rises to no higher degree of certainty than physics.

If your theory or opinion includes the concept of a god, then it is religion. God is infinite, god is eternal;; God that sounds familiar!!!!

I for one, say that God is beyond infinite or eternal. As for a theory of the "Absolute", it can be shown to be mathematical with a non-axiomatic proof. This same proof can also satisfy the goal of physics. If it happens to satisfy the big questions in philosophy and religion as well, who's to say that it shouldn't?

Mathematics and physics boil down to LOGIC. That's where they came from and that's where they're heading. There is a higher logic that has not been used yet. Absolute logic rather than relative logic. Axiomatic logic is relative logic. It will NOT result in a TOE.