Mathematics is a toolbox (the *unreasonable efficiency of Mathematics in natural Sciences* of Eugene Wigner). It is not a philosophy. It does not explain everything. When it tries to explain the sensible world, it becomes Physics. But it cannot explain the human world. For instance, Sciences don't prove or disprove the existence of God. Likewise, I am an amateur musician, yet I don't look in Mathematics for the justification of the emotions I feel when playing or listening Mozart. 

Well, Mathematics are very useful (our modern world is full of uses of Mathematics), but only if you apply them to relevant topics. It is OK to employ Mathematics to design a **CAT scan**. It is not appropriate when designing softwares for financial trade.