The heart of mathematics is its problems.
The computer is important, but not to mathematics.
Applied mathematics will always need pure mathematics just as anteaters will always need ants.
The library is the mathematician's laboratory.
The beginner should not be discouraged if he finds he does not have the prerequisites for reading the prerequisites.
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.