Think not of what you see, but what it took to produce what you see.
BENOIT MANDELBROTThink not of what you see, but what it took to produce what you see.
More Benoit Mandelbrot Quotes
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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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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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If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).
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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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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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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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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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Asking the right questions is as important as answering them
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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Although computer memory is no longer expensive, there’s always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills
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A fractal is a way of seeing infinity.
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I was in an industrial laboratory because academia found me unsuitable
BENOIT MANDELBROT