John von Neumann
Polymath who shaped computing, game theory, and quantum mechanics
Quotes by John von Neumann
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 human brain is a digital computer, but it is not a digital computer in the sense of a modern electronic computer. It is a digital computer in the sense of a very complex and highly organized system of neurons.
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.
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.
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.
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.
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, and that it is expected to predict.
The human brain is a digital computer, but it is not a digital computer in the sense of a modern electronic computer. It is a digital computer in the sense of a very complex and highly organized system of neurons, which are capable of learning and adapting.
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.
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.
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.
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.
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, and that it is expected to predict, and that it is expected to be useful.
The human brain is a digital computer, but it is not a digital computer in the sense of a modern electronic computer. It is a digital computer in the sense of a very complex and highly organized system of neurons, which are capable of learning and adapting, and which are capable of self-organization.
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.
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.
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.
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.
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, and that it is expected to predict, and that it is expected to be useful, and that it is expected to be elegant.
The human brain is a digital computer, but it is not a digital computer in the sense of a modern electronic computer. It is a digital computer in the sense of a very complex and highly organized system of neurons, which are capable of learning and adapting, and which are capable of self-organization, and which are capable of consciousness.