John von Neumann

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, and where the players are rational, and where the players are intelligent, and where the players are strategic, and where the players are interdependent.

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, and they require complex thinking, and they require complex tools, and they require complex strategies, and they require complex collaborations.

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, and to discover new ways of relating them, and to discover new ways of applying them, and to discover new ways of communicating them, and to discover new ways of teaching 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, and by the methods of computer science, and by the methods of game theory, and by the methods of systems theory, and by the methods of information theory.

The problems of mathematics are not isolated, but are connected with each other and with other sciences.

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

The world is not a machine. It is a game.

There's no sense in being precise when you don't even know what you're talking about.

The most important thing is to be able to make a good guess.

Mathematical ideas are not invented or discovered, they are created.

The game of life is a game of incomplete information, and it is played with imperfect players.

The human brain has a logical structure, but it is not a logical machine.

It is not possible to be a mathematician without being a poet in spirit.

The computer is the most important invention since the printing press.

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 some verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work.

The game of life is a game of incomplete information, so you must make decisions based on probabilities, not certainties.

The world is not a static place, it is constantly changing, and we must adapt to it.

The human brain is a wonderful thing. It starts working the moment you are born and never stops until you stand up to speak in public.

The most important thing in science is not to get ahead, but to get it right.

The only way to learn mathematics is to do mathematics.