I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.

One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it

However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes.

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.

Physics is becoming too difficult for the physicists.

He who seeks for methods without having a definite problem in mind seeks in the most part in vain.