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.
BENOIT MANDELBROTEverything 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.
More Benoit Mandelbrot Quotes
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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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Order doesn’t come by itself.
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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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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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The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
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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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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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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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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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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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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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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 Mandelbrot set is the most complex mathematical object known to mankind.
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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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