Mathematics is so useful because physical scientists and engineers have the good sense to largely ignore the "religious" fanaticism of professional mathematicians, and their insistence on so-called rigor, that in many cases is misplaced and hypocritical, since it is based on "axioms" that are completely fictional, i. e. those that involve the so-called infinity.
from "Doron Zeilberger's 126th Opinion", Dr. Z's Homepage
Doron Zeilberger's 126th Opinion[sites.math.rutgers.edu]