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.
It is the first duty of a hypothesis to be intelligible.
I just felt that space was the next thing coming in aviation. It was higher, faster. It had the risk.
The notion of superhumans is using bioengineering and artificial intelligence to upgrade human abilities. If they use the power to change themselves, to change their own minds, their own desires, then we have no idea what they will want to do.
If you get asteroids about a kilometer in size, those are large enough and carry enough energy into our system to disrupt transportation, communication, the food chains, and that can be a really bad day on Earth.
If you study science deep enough and long enough, it will force you to believe in God.
All sorts of computer errors are now turning up. You'd be surprised to know the number of doctors who claim they are treating pregnant men.
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