The human mind shows an urge to capture into fixed forms through unreal assumptions, that is, fictions, that which is chaotic, always in flux, and incomprehensible. Serving this urge, the child quite generally uses a scheme in order to act and to find his way. We proceed much the same when we divide the earth by meridians and parallels, for only thus do we obtain fixed points which we can bring into a relationship with one another.

God who is eternally complete, who directs the stars, who is the master of fates, who elevates man from his lowliness to Himself, who speaks from the cosmos to every single human soul, is the most brilliant manifestation of the goal of perfection.

We must interpret a bad temper as a sign of inferiority.

In the company of friends, writers can discuss their books, economists the state of the economy, lawyers their latest cases, and businessmen their latest acquisitions, but mathematicians cannot discuss their mathematics at all. And the more profound their work, the less understandable it is.

It is from among such individuals that all human failures spring.

Men of genius are admired, men of wealth are envied, men of power are feared; but only men of character are trusted.

The mathematical life of a mathematician is short. Work rarely improves after the age of twenty-five or thirty. If little has been accomplished by then, little will ever be accomplished.