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.
BENOIT MANDELBROTI had very, very little training in taking an exam to determine a scientist’s life in France.
More Benoit Mandelbrot Quotes
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There are very complex shapes which would be the same from close by and far away.
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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
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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
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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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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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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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A formula can be very simple, and create a universe of bottomless complexity.
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Think not of what you see, but what it took to produce what you see.
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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.
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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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Nobody will deny that there is at least some roughness everywhere
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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Asking the right questions is as important as answering them
BENOIT MANDELBROT