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.
Truth is much too complicated to allow anything but approximations. - John Von Neumann
Truth is much too complicated to allow anything but approximations.
- 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, w… - 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, w…
There's no sense in being precise when you don't even know what you're talking about. - John Von Neumann
There's no sense in being precise when you don't even know what you're talking about.
Science, as well as technology, will in the near and in the farther future increasingly turn from problems of intensity, substance, and energy, to pr… - John Von Neumann
Science, as well as technology, will in the near and in the farther future increasingly turn from problems of intensity, substance, and energy, to pr…
Young man, in mathematics you don't understand things. You just get used to them. - John Von Neumann
Young man, in mathematics you don't understand things. You just get used to them.
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 whi… - John Von Neumann
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 whi…
Problems are often stated in vague terms... because it is quite uncertain what the problems really are. - John Von Neumann
Problems are often stated in vague terms... because it is quite uncertain what the problems really are.
All stable processes we shall predict. All unstable processes we shall control. - John Von Neumann
All stable processes we shall predict. All unstable processes we shall control.
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. - John Von Neumann
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.
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