The brain cannot reach its inner conclusions by any logic of certainty. In place of this, the brain must do two things. It must be content to accept less than certain knowledge. And it must have statistical methods which are different in kind from ours, by which it reaches its acceptable level of uncertainty. By these means, the brain constructs a picture of the world which is less than certain yet highly interlocked in its parts.
Polish-born British mathematician (1908–1974)
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.
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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.
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.
We cannot hope to recapture today the terror that the mounted horse struck into the Middle East and Eastern Europe when it first appeared. That is because there is a difference of scale which I can only compare with the arrival of tanks in Poland in 1939, sweeping all before them. I believe that the importance of the horse in European history has always been underrated. In a sense, warfare was created by the horse, as a nomad activity. That is what the Huns brought, that is what the Phrygians brought, that is what finally the Mongols brought, and brought to a climax under Genghis Khan much later. In particular, the mobile hordes transformed the organisation of battle. They conceived a different strategy of war – a strategy that is like a war game; how, warmakers love to play games!
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A man becomes creative, whether he is an artist or a scientist, when he finds a new unity in the variety of nature. He does so by finding a likeness between things which were not thought alike before, and this gives him a sense at the same time of richness and of understanding. The creative mind is a mind that looks for unexpected likenesses.