One couldn’t even measure roughness. So, by luck, and by reward for persistence, I did found the theory of roughness, which certainly I didn’t expect and expecting to found one would have been pure madness.
BENOIT MANDELBROTMy 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.
More Benoit Mandelbrot Quotes
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Nobody will deny that there is at least some roughness everywhere
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For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
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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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Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
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The most complex object in mathematics, the Mandelbrot Set … is so complex as to be uncontrollable by mankind and describable as ‘chaos’.
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I had very, very little training in taking an exam to determine a scientist’s life in France.
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My fate has been that what I undertook was fully understood only after the fact.
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Bottomless wonders spring from simple rules, which are repeated without end.
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The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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There are very complex shapes which would be the same from close by and far away.
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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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I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
BENOIT MANDELBROT