Alex,

You haven't supported your argument in two or three posts in this thread. What you are doing is clinging to a belief system of mathematical realism, but you haven't shown how mathematical realism can exist from 'first principles'. The first principles you cite (axioms) are not first principles since you support those principles based on *undefined* terms and unreferenced terms. Such efforts are fine if you are talking about epistemology, but we are talking ontology. Those terms you mention must carry some physical meaning or they are left undefined and unreferenced. If left undefined and unreferenced then you are guilty of requiring mysticism in support of your mathematical realist structure. Your structure falls like a house of cards since every mathematical structure you cite is reduced to full mysticism.

Why can't you see this? Why do you insist to carry on a philosophy that doesn't want you? Unless you are willing to side with a mystic foundation you have no foundation to your views. This, I believe, either puts you in the theist camp or leaves you making irrational claims. These irrational claims are showing their color over the past few posts from you.

Warm regards, Harv