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

Thoughts are steered in different ways..

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

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….

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….

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

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 ….

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

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

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

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

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..

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

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….

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

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

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

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….

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

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….