Problems are often stated in vague terms... because it is quite uncertain what the problems really are. John von Neumann More Quotes by John von Neumann More Quotes From John von Neumann If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. John von Neumann simplemathbelieve You insist that there is something a machine cannot do. If you tell me precisely what it is a machine cannot do, then I can always make a machine which will do just that. John von Neumann machinesifsjustice Computers are like humans - they do everything except think. John von Neumann computerhumansthinking Young man, in mathematics you don't understand things. You just get used to them. John von Neumann mathmenscience Science, as well as technology, will in the near and in the farther future increasingly turn from problems of intensity, substance, and energy, to problems of structure, organization, information, and control. John von Neumann technologyorganizationenergy 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-that is, correctly to describe phenomena from a reasonably wide area. John von Neumann mathematicstryingscience There's no sense in being precise when you don't even know what you're talking about. John von Neumann programmingknowstalking Truth is much too complicated to allow anything but approximations. John von Neumann truth-iscomplicatedreligion If you tell me precisely what it is a machine cannot do, then I can always make a machine which will do just that. John von Neumann machinesi-canifs Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin. John von Neumann numberssciencemean All stable processes we shall predict. All unstable processes we shall control. John von Neumann meteorologyunstableprocess With four parameters I can fit an elephant, and with five I can make him wiggle his trunk. John von Neumann fitfourelephants The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert. John von Neumann mathematicsdepththinking There probably is a God. Many things are easier to explain if there is than if there isn't. John von Neumann easierifsgod Technological possibilities are irresistible to man. If man can go to the moon, he will. If he can control the climate, he will. John von Neumann climatemoonmen I am thinking about something much more important than bombs. I am thinking about computers. John von Neumann bombsimportantthinking When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system. John von Neumann nervouslanguagemay I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space any more. John von Neumann spacemaybelieve It is just as foolish to complain that people are selfish and treacherous as it is to complain that the magnetic field does not increase unless the electric field has a curl. Both are laws of nature. John von Neumann selfishlawpeople The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking. John von Neumann teachingmaththinking
