I'm an agnostic. Sometimes I muse deeply on the forces that are for me invisible. When I am almost close to the idea of God, I feel immediately estranged by the horrors of this world, which he seems to tolerate...

I am turned off when I see only formulas and symbols, and little text.

The infinite we shall do right away. The finite may take a little longer.

Thoughts are steered in different ways.

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.

The mathematicians know a great deal about very little and the physicists very little about a great deal.

It is still an unending source of surprise for me how a few scribbles on a blackboard or on a piece of paper can change the course of human affairs.

Do not lose your faith. A mighty fortress is our mathematics. Mathematics will rise to the challenge, as it always has.

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.

Knowing what is big and what is small is more important than being able to solve partial differential equations.

One conversation centered on the ever accelerating progress of technology and changes in the mode of human life, which gives the appearance of approaching some essential singularity in the history of the race beyond which human affairs, as we know them, could not continue.

It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.

It is most important in creative science not to give up. If you are an optimist you will be willing to "try" more than if you are a pessimist.

Whatever is worth saying, can be stated in fifty words or less.

As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond mathematics itself. He knew his technical abilities; his virtuosity in following complicated reasoning and his insights were supreme; yet he lacked absolute self confidence.

Mathematics may be a way of developing physically, that is anatomically, new connections in the brain.

Very soon I discovered that if one gets a feeling for no more than a dozen other radiation and nuclear constants, one can imagine the subatomic world almost tangibly, and manipulate the picture dimensionally and qualitatively, before calculating more precise relationships.

For many years I was the youngest among my mathematical friends. It makes me melancholy to realize that I now have become the oldest in most groups of scientists.

With sixty professors there are roughly eighteen hundred pairs of professors. Out of that many pairs it was not surprising that there were some whose members did not like one another.

In mathematics, as in physics, so much depends on chance, on a propitious moment.

It is not so much whether a theorem is useful that matters, but how elegant it is.

In its evolution from a more primitive nervous system, the brain, as an organ with ten or more billion neurons and many more connections between them must have changed and grown as a result of many accidents.

Rota's personality is compatible with mine.

By an incredible coincidence, Gamow and Edward Condon, who had discovered simultaneously and independently the explanation of radioactivity (one in Russia, the other in this country), came to spend the the last ten years of their lives within a hundred yards of each other in Boulder.

According to recent studies, at least one star out of three is multiple.

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