John von Neumann

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.

Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin.

The operating parts of the human nervous system are of a mixed character, partly digital, partly analog.

The game is not to be played once, but many times.

Mathematics is not a science. It is a language.

The problems of the world are not to be solved by the methods of physics.

The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work.

It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful with such statements, as they tend to sound pretty silly in 5 years.

The present is the past of the future.

The human brain has a certain finite capacity, and the human nervous system has a certain finite speed. The human memory is not infinite, and the human brain is not infinitely fast.

The game theory is a mathematical theory of strategy, which is applicable to situations where the outcome depends on the choices of several players.

The world is not a simple place, and the problems of the world are not simple problems.

The most important thing in science is not to get new facts, but to discover new ways of thinking about them.

The problems of the world are not to be solved by the methods of physics, but by the methods of mathematics.

The sciences do not try to explain, they hardly even try to interpret, they mainly make models.

The human brain is a digital computer, but it is not a digital computer in the sense of a modern electronic computer.

The game theory is a mathematical theory of strategy, which is applicable to situations where the outcome depends on the choices of several players, and where the players have conflicting interests.

The world is not a simple place, and the problems of the world are not simple problems. They are complex problems, and they require complex solutions.

The most important thing in science is not to get new facts, but to discover new ways of thinking about them, and to discover new ways of organizing them.

The problems of the world are not to be solved by the methods of physics, but by the methods of mathematics, and by the methods of logic.