“ Since I am neither a neurologist nor a psychiatrist, but a mathematician, the work that follows requires some explanation and justification. ”
- John von Neumann- Copy
- 4K
“ In an analog machine each number is represented by a suitable physical quantity, whose values, measured in some preassigned unit, is equal to the number in question. ”
- John von Neumann- Copy
- 689
“ Any computing machine that is to solve a complex mathematical problem must be 'programmed' for this task. This means that the complex operation of solving that problem must be replaced by a combination of the basic operations of the machine. ”
- John von Neumann- Copy
- 450
“ Thus all sorts of sophisticated ordersystems become possible, which keep successively modifying themselves and hence also the computational processes that are likewise under their control. ”
- John von Neumann- Copy
- 1.8K
“ Apart from all other considerations, the main limitation of analog machines relates to precision. Indeed, the precision of electrical analog machines rarely exceeds 1:10^3, and even mechanical ones achieve at best 1:10^4 to 10^5... On the other hand, to go from 1:10^12 to 1:10^13 in a digital machine means merely adding one place to twelve; this means usually no more than a relative increase in equipment (not everywhere!) of 1/12 = 8.3 percent, and an equal loss in speed (not everywhere!) — none of which is serious. ”
- John von Neumann- Copy
- 937
“ We do not know where in the physically viewed nervous system a memory resides; we do not know whether it is a separate organ or a collection of specific parts of other already known organs, etc. ”
- John von Neumann- Copy
- 2.8K
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 1.2K
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 2.4K
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 66
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 2K
“ 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. ”
- John von Neumann- Copy
- 3K
“ 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. ”
- John von Neumann- Copy
- 3.8K
“ Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin. ”
- John von Neumann- Copy
- 3.5K
“ 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. ”
- John von Neumann- Copy
- 3K
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 2.4K
“ 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. ”
- John von Neumann- Copy
- 3.5K
“ Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin. ”
- John von Neumann- Copy
- 798
“ 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. ”
- John von Neumann- Copy
- 2K
“ 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. ”
- John von Neumann- Copy
- 1.3K
“ 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. ”
- John von Neumann- Copy
- 581
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 750
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 619
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 3.9K
“ 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. ”
- John von Neumann- Copy
- 3.1K
“ Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. ”
- John von Neumann- Copy
- 1.2K
“ 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. ”
- John von Neumann- Copy
- 2.3K
“ 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. ”
- John von Neumann- Copy
- 1.5K
“ 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. ”
- John von Neumann- Copy
- 1.2K
- 1
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