The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
BENOIT MANDELBROTMy life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
More Benoit Mandelbrot Quotes
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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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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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I had very, very little training in taking an exam to determine a scientist’s life in France.
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My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
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Think not of what you see, but what it took to produce what you see.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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I don’t seek power and do not run around
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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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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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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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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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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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 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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Engineering is too important to wait for science.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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Order doesn’t come by itself.
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Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
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I was in an industrial laboratory because academia found me unsuitable
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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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A fractal is a way of seeing infinity.
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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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Beautiful, damn hard, increasingly useful. That’s fractals.
BENOIT MANDELBROT