For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
BENOIT MANDELBROTSome 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.
More Benoit Mandelbrot Quotes
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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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I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.
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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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A fractal is a way of seeing infinity.
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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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It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds.
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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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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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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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There are very complex shapes which would be the same from close by and far away.
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I don’t seek power and do not run around
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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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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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
BENOIT MANDELBROT