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" "Yet, the principle of uncertainty is a bad name. In science or outside of it, we are not uncertain. Our knowledge is merely confined within a certain tolerance. We should call it the principle of tolerance. First in the engineering sense. Science has progressed, step by step, the most successful enterprise in the ascent of man, because it has understood that the exchange of information between man and nature, and man and man, can only take place with a certain tolerance. But I also use the word, passionately, about the real world. All knowledge, all information, between human beings, can only be exchanged within a play of tolerance, and that's whether it's in science, or in literature, or in religion, or in politics, or in any form of though that aspires to dogma.
Jacob Bronowski (January 18, 1908 – August 22, 1974) was a British mathematician, biologist, and science historian of Polish origin. He is remembered as the writer and presenter of the 1973 BBC television documentary series, The Ascent of Man.
Biography information from Wikiquote
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Progress is the exploration of our own error. Evolution is a consolidation of what have always begun as errors. And errors are of two kinds: errors that turn out to be true and errors that turn out to be false (which are most of them). But they both have the same character of being an imaginative speculation. I say all this because I want very much to talk about the human side of discovery and progress, and it seems to me terribly important to say this in an age in which most non-scientists are feeling a kind of loss of nerve.
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Let me close by reminding you of what Newton actually did on the day that he conceived <math>G = k \frac{mm'}{r^2}</math>. ...Newton did not have any subsidies, grants, funds, Secret Service money. But he had the moon. He said, "... I cannot throw a ball round the world, but let me picture the moon as if it were a ball which has been flung around the world... How long will it take to go round the world?" ...He knew the value of gravity at the earth's surface ...but he did not know the value of the earth's gravity for the moon. He said, "Let us suppose that it is given by an inverse square law. Now, how long will it take the moon to go around?" It comes out at twenty-eight days. As Newton said, "They agreed pretty nearly."