Is Mathematics discovered or invented? Argue your point of view.

Mathematics is partly invented and partly discovered. In other words, it is developed. The principle bases of Mathematics is discovered because they were always there, however the theories and formulas have been invented to prove the principle bases of mathematics. Take 1+1=2 for an example, that is there....it has only been discovered. However, the Pythagorus theorem has been invented based on observation of a triangle and realization of patterns. In conclusion, Mathematics has been developed.