Is mathematics one of the sciences? If not, how do we distinguish one from the other? I must admit that I usually think of mathematics as a science. As a trained physicist I find mathematics to be as much like physics as, say, biology is.
But if I were to look for a distinction between science and math then it might be that scientists (or should I say physicists) look for patterns that are present in the world whereas mathematicians look at patterns that may (or may not) occur in the physical world.