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We mathematicians who operate with nothing more expensive than paper and possibly printers' ink are quite reconciled to the fact that, if we are working in an active field, our discoveries will commence to be obsolete at the moment that they are written down or even at the moment they are conceived. We know that for a long time everything we do will be nothing more than the jumping off point for those who have the advantage of already being aware of our ultimate results. This is the meaning of the famous apothegm of Newton, when he said, "If I have seen further than other men, it is because I have stood on the shoulders of giants".
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The mechanical brain does not secrete thought "as the liver does bile," as the earlier materialists claimed, nor does it put it out in the form of energy, as the muscle puts out its activity. Information is information, not matter or energy. No materialism which does not admit this can survive at the present day.
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Scientific discovery consists in the interpretation for our own convenience of a system of existence which has been made with no eye to our convenience at all.
One of the chief duties of a mathematician in acting as an advisor to scientists is to discourage them from expecting too much of mathematicians.
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The best material model of a cat is another, or preferably the same, cat.
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I have said that science is impossible without faith.... Inductive logic, the logic of Bacon, is rather something on which we can act than something which we can prove, and to act on it is a supreme assertion of faith... Science is a way of life which can only fluorish when men are free to have faith.
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A faith which we follow upon orders imposed from outside is no faith, and a community which puts its dependence upon such a pseudo-faith is ultimately bound to ruin itself because of the paralysis which the lack of a healthy growing science imposes upon it.
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A group may have more group information or less group information than its members. A group of non-social animals, temporarily assembled, contains very little group information, even though its members may possess much information as individuals. This is because very little that one member does is noticed by the others and is acted on by them in a way that goes further in the group. On the other hand, the human organism contains vastly more information, in all probability, than does any one of its cells. There is thus no necessary relation in either direction between the amount of racial or tribal or community information and the amount of information available to the individual.
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Any use of a human being in which less is demanded of him and less is attributed to him than his full status is a degradation and a waste.
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The terms "black box" and "white box" are convenient and figurative expressions of not very well determined usage. I shall understand by a black box a piece of apparatus, such as four-terminal networks with two input and two output terminals, which performs a definite operation on the present and past of the input potential, but for which we do not necessarily have any information of the structure by which this operation is performed. On the other hand, a white box will be similar network in which we have built in the relation between input and output potentials in accordance with a definite structural plan for securing a previously determined input-output relation.
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Just as entropy is a measure of disorganization, the information carried by a set of messages is a measure of organization. In fact, it is possible to interpret the information carried by a message as essentially the negative of its entropy, and the negative logarithm of its probability. That is, the more probable the message, the less information it gives. Cliches, for example, are less illuminating than great poems.
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A painter like Picasso, who runs through many periods and phases, ends up by saying all those things which are on the tip of the tongue of the age to say, and finally sterilizes the originality of his contemporaries and juniors.
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The degradation of the position of the scientist as independent worker and thinker to that of a morally irresponsible stooge in a science-factory has proceeded even more rapidly and devastatingly than I had expected.
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The simplest type of breakdown exhibits itself as an oscillation in a goal-seeking process which appears only when that process is actively invoked.
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We have decided to call the entire field of control and communication theory, whether in the machine or in the animal, by the name of Cybernetics, which we form from the Greek [for] steersman.
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The measures taken during the war by our military agencies, in restricting the free intercourse among scientists on related projects or even on the same project have gone so far that it is clear that if continued in time of peace, this policy will lead to the total irresponsibility of the scientist, and, ultimately, to the death of science.... The interchange of ideas, which is one of the greatest traditions of science, must of course receive certain limitations when the scientist becomes an arbiter of life and death.... I do not expect to publish any future work of mine which may do damage in the hands of irresponsible militarists...
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The Advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil. It is a field which has often been compared with chess, but differs from the latter in that it is only one's best moments that count and not one's worst. A single inattention may lose a chess game, whereas a single successful approach to a problem, among many which have been relegated to the wastebasket, will make a mathematician's reputation.
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Quote of the day
Nobody ever did anything very foolish except from some strong principle.
William Lamb, 2nd Viscount Melbourne
Norbert Wiener
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Born:
November 26, 1894
Died:
March 18, 1964
(aged 69)
Bio:
Norbert Wiener was an American mathematician and philosopher. He was professor of mathematics at MIT.
Known for:
The Human Use of Human Beings (1950)
Ex-prodigy: my childhood and youth (1953)
Invention: The Care and Feeding of Ideas
God & Golem, Inc. (1964)
Most used words:
machine
faith
science
human
scientist
group
man
field
messages
communication
box
nature
social
input
time
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