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 NeumannRead
Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.
Interpretation
Generating randomness through predictable processes is inherently flawed.
This quote by John Von Neumann highlights the paradox of trying to create randomness using deterministic methods. It suggests that true randomness cannot be achieved through logical or predictable algorithms, implying that such attempts are misguided, akin to a moral failing in the pursuit of genuine randomness.
In practice
In a lecture about the limits of computation, one could quote Von Neumann to emphasize the challenges of randomness.
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.
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.
Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number - there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.
It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful with such statements, as they tend to sound pretty silly in 5 years.
Technological possibilities are irresistible to man. If man can go to the moon, he will. If he can control the climate, he will.
I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space any more.
The methods of theoretical physics should be applicable to all those branches of thought in which the essential features are expressible with numbers.
When an economist says the evidence is "mixed," he or she means that theory says one thing and data says the opposite.
If someone says that he can think or talk about quantum physics without becoming dizzy, that shows only that he has not understood anything whatever about it.
In summoning even the wisest of physicians to our aid, it is probably that he is relying upon a scientific "truth", the error of which will become obvious in just a few years' time.
Nowhere in space will we rest our eyes upon the familiar shapes of trees and plants, or any of the animals that share our world. Whatsoever life we meet will be as strange and alien as the nightmare creatures of the ocean abyss, or of the insect empire whose horrors are normally hidden from us by their microscopic scale.
As a member of both the energy and environment committees, I am constantly astounded by how many of my colleagues prefer to focus on what the government can do for the nuclear or coal industries rather than why the government should support clean and sustainable energy.
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