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
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.
Interpretation
Scientific models aim to describe phenomena rather than explain them in absolute terms.
In this quote, John Von Neumann emphasizes that the primary function of scientific models is not to provide explanations or interpretations of the underlying reality, but to effectively describe and predict observed phenomena. He highlights that the value of a mathematical model is determined by its predictive power and its ability to work across various scenarios, thus illustrating the pragmatic nature of scientific inquiry.
In practice
In a scientific conference discussing the role of mathematics in science.
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.
Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.
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 aim of scientific thought, then, is to apply past experience to new circumstances; the instrument is an observed uniformity in the course of events. By the use of this instrument it gives us information transcending our experience, it enables us to infer things that we have not seen from things that we have seen; and the evidence for the truth of that information depends on our supposing that the uniformity holds good beyond our experience.
The scientist is not responsible for the laws of nature. It is his job to find out how these laws operate. It is the scientist's job to find the ways in which these laws can serve the human will. However, it is not the scientist's job to determine whether a hydrogen bomb should be constructed, whether it should be used, or how it should be used. This responsibility rests with the American people and with their chosen representatives.
So far as hypotheses are concerned, let no one expect anything certain from astronomy, which cannot furnish it, lest he accept as the truth ideas conceived for another purpose, and depart from this study a greater fool than when he entered it.
The overwhelming majority of theories are rejected because they contain bad explanations, not because they fail experimental tests.
'Frankenstein' did not invent the fear of science; the novel found its audience because it dramatized anxieties that already existed. Although popular entertainment can, over the long run, shape public perceptions, it becomes popular in the first place only if it addresses preexisting hopes, fears, and fascinations.
If an autoimmune disease can create symptoms that look exactly like schizophrenia, that raises the question, what is schizophrenia? And are there forms of schizophrenia that are caused by other types of autoimmune disease?
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