That's fair. These are philosophical points; and quite difficult
   ones at that. I believe every language has a right to describe
   the Universe in the best way that it sees fit; and mathematics
   holds the greatest opportunity to do so in a way that's
   rock-solid and less prone to breakage within its borders than
   any other language of description.

   Now for myself, I subscribe a little closer to an embodied
   cognition model of mind; not entirely but it's the direction
   I've been heading. It's a much messier realm and may well turn
   out to be going down the rabbit hole, but I have to investigate.
   I'm not as worried about mathematics; there are geniuses like
   Max who have it covered; computers designed around its
   methodology, people well trained in its way of thinking, and a
   whole incredible system that extends backwards in history for,
   really, thousands of years. The proofs are its strength, even
   when the weakness may be in its axioms. But I wouldn't even
   attempt to 'go there' - I'm not nearly smart or clever enough