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.

Trust only movement. Life happens at the level of events, not of words. Trust movement.

There is only one reason for an individual to side-step to the useless side : the fear of a defeat on the useful side.

What do you first do when you learn to swim? You make mistakes, do you not? And what happens? You make other mistakes, and when you have made all the mistakes you possibly can without drowning - and some of them many times over - what do you find? That you can swim? Well - life is just the same as learning to swim! Do not be afraid of making mistakes, for there is no other way of learning how to live!

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

Courage is not an ability one either possess or lacks. Courage is the willingness to engage in a risk-taking behavior regardless of whether the consequences are unknown or possibly adverse. We are capable of courageous behavior provided we are willing to engage in it. Given that life offers few guarantees, all living requires risk-taking.

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.