Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
Marston Morse

My interests started about in science and in mathematics; I always thought I was going to be a mathematician.
David Chalmers

One can imagine that the ultimate mathematician is one who can see analogies between analogies.
Stefan Banach