The truth has never been of any real value to any human being - it is a symbol for mathematicians and philosophers to pursue. In human relations kindness and lies are worth a thousand truths.

I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future.

Guided only by their feeling for symmetry simplicity and generality and an indefinable sense of the fitness of things creative mathematicians now as in the past are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.

A mathematician is a person who can find analogies between theorems a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.

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.

The way in which mathematicians and physicists and historians talk is quite different and what a physicist means by physical intuition and what a mathematician means by beauty or elegance are things worth thinking about.