Mathematics- Discovered or Invented?

I am a firm believer on math being a discovered science. I say science because the process used in order to reach a mathematical axiom or theory, is derived through reasoning skills that are also triguered by the observation of the natural world. Many cases have to be taken into consideration, before presenting a mathematical premise that fits all of them in the same way. That said, I see no possible example of how math could be invented. It would be like saying that cells do now exist just because we cant see them with a naked eye. In a world where things dont ever come by themselves, we have developed a universal system that can make quantitative observations and reasoning much simpler, by only using symbols that code for a specific quantity of measurements/objetcs. Matematicians have taken advantage of this abstract world, and organized it by developing the simplest forms of relationships that are possible between them. Yes, math is based on an invented set of symbols, but these code for perceivable objects that interact in ways that are only understandable to the average human mind through simpler abstract justification.