I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not – for the job that I should spend my life in.
BENOIT MANDELBROTThe most complex object in mathematics, the Mandelbrot Set … is so complex as to be uncontrollable by mankind and describable as ‘chaos’.
More Benoit Mandelbrot Quotes
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If you look at a shape like a straight line, what’s remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
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My fate has been that what I undertook was fully understood only after the fact.
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The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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Asking the right questions is as important as answering them
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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I was in an industrial laboratory because academia found me unsuitable
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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.
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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
BENOIT MANDELBROT