Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
BENOIT MANDELBROTPictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
More Benoit Mandelbrot Quotes
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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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Order doesn’t come by itself.
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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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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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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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Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations, of occurrences minute and irregular and seldom met with, which it always proves more easy to ignore than to attend to.
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A fractal is a way of seeing infinity.
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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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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.
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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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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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My fate has been that what I undertook was fully understood only after the fact.
BENOIT MANDELBROT