Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
BENOIT MANDELBROTAsking the right questions is as important as answering them
More Benoit Mandelbrot Quotes
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I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
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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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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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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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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Order doesn’t come by itself.
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I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.
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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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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 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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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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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
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I don’t seek power and do not run around
BENOIT MANDELBROT