There is really no clear cut answer to the question.
Many people will tell you that math is a massive body of fiction, objects and ideas completely invented by man to describe and quantify the world around him.
still others will say that the principles of mathematics are a discovery, an ever expanding discovery at that.
It really ultimately comes down to how you choose to look at it. Neither side of the argument really seeks to invalidate the principles of mathematics, but simply differ on the inherent value of the terminology.