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.
BENOIT MANDELBROTThe Mandelbrot set is the most complex mathematical object known to mankind.
More Benoit Mandelbrot Quotes
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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Asking the right questions is as important as answering them
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I didn’t feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world.
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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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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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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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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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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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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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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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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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A fractal is a way of seeing infinity.
BENOIT MANDELBROT







