The advice we give others is the advice that we ourselves need.

God created infinity, and man, unable to understand infinity, had to invent finite sets.

We often hear that mathematics consists mainly of "proving theorems." Is a writer's job mainly that of "writing sentences?"

If we have no idea why a statement is true, we can still prove it by induction.

Nature imitates mathematics.

The progress of mathematics can be viewed as progress from the infinite to the finite.

There is something in statistics that makes it very similar to astrology.

[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones, which are useful in testing the stability of a theory.

Are mathematical ideas invented or discovered? This question has been repeatedly posed by philosophers through the ages and will probably be with us forever.

Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody's attention will turn elsewhere.

It is a common public relations gimmick to give the entire credit for the solution of famous problems to the one mathematician who is responsible for the last step.

Fear creates a form of spiritual amnesia

Getting to make the music, and having a good time doing it, is the most important thing to us.

If elected I shall be thankful; if not, it will be all the same.

Every substance is as a world apart, independent of everything else except God.

The whole business starts with ideas, and we're convinced that ideas come out of an environment of supportive conflict, which is synonymous with appropriate friction.

I mean, even New York isn't in any great shape anymore in relation to the rest of the world.

If God had intended us to be alone, there would be more pleasure in massaging our own shoulders.

Say what you have to say, and then stop.

I am always interested in designing things that have a great price point attached to it.

I was a science fiction junkie for a long time.