Is Mathematics Invented or Discovered

Mathematics is of key importance to most aspects of modern life. Due to the great diversity and nature of mathematics it is a subject that is hard to define. Over the years great mathematicians have given there own definitions of mathematics. In general we can define it as " a group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape and space and there interrelationships using a specialized notation." …

…that seems to be just made up by someone. Though there is evidence to support both the Formalists and the Platonists neither can be absolutely sure the other is wrong. Maybe both are right. Does it really matter? Whether maths is real or just a product of our imaginations it will continue to be developed and applied to different areas of our lives and maybe one day we will come close to answering this question.