It's like anything else: some mathematicians see mathematics as a science, and others don't. Most probably don't think about it one way or the other. > I thin

It's like anything else: some mathematicians see mathematics as a science, and others don't. Most probably don't think about it one way or the other. > I think most mathematicians would disagree with your assertion that math is about "definitions". An analogy: math is about definitions in the same sense that go is about placing stones on a grid.