Asking the right questions is as important as answering them
BENOIT MANDELBROTThe 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.
More Benoit Mandelbrot Quotes
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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A fractal is a way of seeing infinity.
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A formula can be very simple, and create a universe of bottomless complexity.
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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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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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Think not of what you see, but what it took to produce what you see.
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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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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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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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There are very complex shapes which would be the same from close by and far away.
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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.
BENOIT MANDELBROT