I don't mean to be dismissive of complex math, but it can be seen as an excuse by people who expect the universe to NOT make intuitive sense. Usually, powerful mathematical explanations are quite simple (Maxwell's equations, Boltzmann's, etc)
I, for one, don't expect the universe not to make intuitive sense. I just think average folk intuition is waaay to weak for that. Actually, I think the same applies to nearly all people, mathematicians the least of all.
What do you mean it does not? Limit theory does that in great depths. Some cases are unaccounted for, but that might actually be due to the incompleteness theorem.