My fate has been that what I undertook was fully understood only after the fact.
BENOIT MANDELBROTOrder doesn’t come by itself.
More Benoit Mandelbrot Quotes
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Order doesn’t come by itself.
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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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Nobody will deny that there is at least some roughness everywhere
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.
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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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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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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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When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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There are very complex shapes which would be the same from close by and far away.
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Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.
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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
BENOIT MANDELBROT