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

Physics is becoming too difficult for the physicists.

For us there is no ignorabimus, and in my opinion none whatever in natural science. In opposition to the foolish ignorabimus our slogan shall be: "We must know - we will know!"

A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?