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

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

As long as a branch of science offers an abundance of problems, so long it is alive; a lack of problems foreshadows extinction or the cessation of independent development.

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

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.

If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.

One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs