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.
BENOIT MANDELBROTMy fate has been that what I undertook was fully understood only after the fact.
More Benoit Mandelbrot Quotes
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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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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Engineering is too important to wait for science.
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Think not of what you see, but what it took to produce what you see.
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Nobody will deny that there is at least some roughness everywhere
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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A formula can be very simple, and create a universe of bottomless complexity.
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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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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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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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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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I had very, very little training in taking an exam to determine a scientist’s life in France.
BENOIT MANDELBROT







