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