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.
BENOIT MANDELBROTBeautiful, damn hard, increasingly useful. That’s fractals.
More Benoit Mandelbrot Quotes
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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A fractal is a way of seeing infinity.
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Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
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The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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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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Nobody will deny that there is at least some roughness everywhere
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Order doesn’t come by itself.
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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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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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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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.
BENOIT MANDELBROT