Comment by n4r9

I guess this comes down to what you mean by "science". Some would say that science is the process of testing hypotheses about reality. Mathematical facts exist in an abstract sense apart from reality, and so mathematics is not really science to those people.

There's an argument that you are still doing science if you construct a logical proof showing that "if the world is like X, then it will behave like Y". A lot of theoretical physics is like this, and people call that science. But I think there's truth to what OP is saying in that science does not conclusively positively prove things about reality.