Young man, in mathematics you don't understand things. You just get used to them. — John von Neumann Copy Share Image
I would like to make a confession which may seem immoral: I do not believe in Hilbert space anymore. — John von Neumann Copy Share Image
I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space any more. — John von Neumann Copy Share Image
Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. — John von Neumann Copy Share Image
When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system. — John von Neumann Copy Share Image
Anyone who considers arithmetical methods of producing random numbers is, of course, in a state of sin. — John Von Neumann Copy Share Image
Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. — John von Neumann Copy Share Image
Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin. — John von Neumann Copy Share Image
The most vitally characteristic fact about mathematics is, in my opinion, its quite peculiar relationship to the natural sciences, or more generally,… — John Von Neumann Copy Share Image
Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics. Physicist:… — John von Neumann Copy Share Image
Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been… — John von Neumann Copy Share Image
If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each… — John Von Neumann Copy Share Image
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of… — John von Neumann Copy Share Image
The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss… — John von Neumann Copy Share Image
“When we talk mathematics, we may be discussing a secondary language, built on the primary language truly used by the central nervous… — John von Neumann Copy Share Image
By and large it is uniformly true that in mathematics there is a time lapse between a mathematical discovery and the moment… — John Von Neumann Copy Share Image
By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment… — John von Neumann Copy Share Image
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant… — John von Neumann Copy Share Image
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more… — John von Neumann Copy Share Image
It is exceptional that one should be able to acquire the understanding of a process without having previously acquired a deep familiarity… — John von Neumann Copy Share Image
I think that it is a relatively good approximation to truth which is much too complicated to allow anything but approximations, that… — John Von Neumann Copy Share Image
A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody… — John Von Neumann Copy Share Image
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. — John von Neumann Copy Share Image
Problems are often stated in vague terms... because it is quite uncertain what the problems really are. — John von Neumann Copy Share
It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful… — John von Neumann Copy Share
I would like to make a confession which may seem immoral: I do not believe in Hilbert space anymore. — John von Neumann Copy Share
There is no point in being precise if you do not even know what you are talking about. — John von Neumann Copy Share
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations… — John von Neumann Copy Share
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 Copy Share
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than… — John von Neumann Copy Share
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical… — John von Neumann Copy Share
Kurt Godel's achievement in modern logic is singular and monumental - indeed it is more than a monument, it is a landmark which will… — John von Neumann Copy Share
If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each other. — John Von Neumann Copy Share
Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. — John von Neumann Copy Share
By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it… — John von Neumann Copy Share
I think that it is a relatively good approximation to truth which is much too complicated to allow anything but approximations, that mathematical ideas… — John Von Neumann Copy Share
The most vitally characteristic fact about mathematics is, in my opinion, its quite peculiar relationship to the natural sciences, or more generally, to any… — John Von Neumann Copy Share
