Paraphrased something like (this is an early proof based class) "I hear engineering majors and physics majors say that they like math as long as it can applied to something. So these folks won't take any upper level pure mathematics courses. It's useless. Is it? Did you know that (something about matricies) was once pure mathematics? Then one day, wow this does work nicely for (something in physics.) Mathematicians working on pure mathematics that 'can't be applied' are really just finding new things that are true, and if they are true, why can't they be applied? We just haven't found out how yet! How many times in history do you think physicists have looked for a mathematical way to explain some phenomenon, only to find that a perfect description was already there, tucked away in the land of pure mathematics? I'm not saying any inconcievable math can be applied to physics or whathaveyou. I'm saying that for an engineer to disregard pure mathematics because it cannot be applied is foolish. Studying pure mathematics is just staying ahead of the game."