The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
BENOIT MANDELBROTAsking the right questions is as important as answering them
More Benoit Mandelbrot Quotes
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Order doesn’t come by itself.
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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Bottomless wonders spring from simple rules, which are repeated without end.
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There are very complex shapes which would be the same from close by and far away.
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I was in an industrial laboratory because academia found me unsuitable
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Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations, of occurrences minute and irregular and seldom met with, which it always proves more easy to ignore than to attend to.
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The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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A fractal is a way of seeing infinity.
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In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
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In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
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I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.
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I had very, very little training in taking an exam to determine a scientist’s life in France.
BENOIT MANDELBROT