A fractal is a way of seeing infinity.
BENOIT MANDELBROTI 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.
More Benoit Mandelbrot Quotes
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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 Mandelbrot set is the most complex mathematical object known to mankind.
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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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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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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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I was in an industrial laboratory because academia found me unsuitable
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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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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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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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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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In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
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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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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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I had very, very little training in taking an exam to determine a scientist’s life in France.
BENOIT MANDELBROT







