Sort of. As a physicist I'd also say we have different sets of intuition, different willingnesses to play fast and loose or to make heuristic arguments (for a

Sort of. As a physicist I'd also say we have different sets of intuition, different willingnesses to play fast and loose or to make heuristic arguments (for a good example, consider the history of the Dirac delta function). Certainly physicists apply mathematics; does that make them applied mathematicians? I'm not certain. On the other hand, while I find these sorts of theorems nice results, they do not change one bit of my understanding.