Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
BENOIT MANDELBROTI 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.
More Benoit Mandelbrot Quotes
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My fate has been that what I undertook was fully understood only after the fact.
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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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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 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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Although computer memory is no longer expensive, there’s always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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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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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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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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I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
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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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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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There is a saying that every nice piece of work needs the right person in the right place at the right time.
BENOIT MANDELBROT