Applied mathematics will always need pure mathematics just as anteaters will always need ants.
You are allowed to lie a little, but you must never mislead.
The computer is important, but not to mathematics.
The best way to learn is to do; the worst way to teach is to talk.
...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.
The mathematical fraternity is a little like a self-perpetuating priesthood. The mathematicians of today teach the mathematicians of tomorrow and, in effect, decide whom to admit to the priesthood.