> Can we conceive of universe NOT made of math? Even in Harry Potter there's aritmancy...

But there is a difference between a universe in which math exists, and a universe that is made of math; and the latter is, I think, a much stronger requirement. (Unless, indeed, every conceivable universe is made of math, in which case the requirements have exactly the same strength. :-) )

I don't think we can, but that may be because we're in a universe with math.