As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond mathematics itself. He knew his ….

He [John von Neumann] had the invaluable faculty of being able to take the most difficult problem and separate it into its components, whereupon ever….

I am always amazed how much a certain facility with a special and apparently narrow technique can accomplish..

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

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

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

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..

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

Sometimes I feel that a more rational explanation for all that has happened during my lifetime is that I am still only thirteen years old, reading Ju….

One conversation centered on the ever accelerating progress of technology and changes in the mode of human life, which gives the appearance of approa….

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

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….

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

... there's nothing new under the sun - everything can be traced back to Archimedes or even earlier..

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

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 estra….

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….

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

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

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

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