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Benoit Mandelbrot

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I always saw a close kinship between the needs of "pure" mathematics and a certain hero of Greek mythology, Antaeus. The son of Earth, he had to touch the ground every so often in order to reestablish contact with his Mother; otherwise his strength waned. To strangle him, Hercules simply held him off the ground. Back to mathematics. Separation from any down-to-earth input could safely be complete for long periods — but not forever. In particular, the mathematical study of Brownian motion deserved a fresh contact with reality.

 
Benoit Mandelbrot

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When you seek some unspecified and hidden property, you don't want extraneous complexity to interfere. In order to achieve homogeneity, I decided to make the motion end where it had started. The resulting motion biting its own tail created a distinctive new shape I call Brownian cluster. ... Today, after the fact, the boundary of Brownian motion might be billed as a "natural" concept. But yesterday this concept had not occurred to anyone. And even if it had been reached by pure thought, how could anyone have proceeded to the dimension 4/3? To bring this topic to life it was necessary for the Antaeus of Mathematics to be compelled to touch his Mother Earth, if only for one fleeting moment.

 
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In greek mythology, Antaeus was a giant who was strong as long as he had contact with the earth. When he was lifted from the earth he lost strength. So it is with engineers. They must not become isolated from the real world...

 
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The greatest hero of Greece was Hercules. He was a personage of quite another order from the great hero of Athens, Theseus. He was what all Greece, except Athens, most admired. The Athenians were different from the other Greeks, and their hero therefore was different. Theseus was, of course, bravest of the brave, as all heroes are; but, unlike other heroes, he was as compassionate as he was brave, and a man of great intellect as well as great bodily strength. It was natural that the Athenians should have such a hero, because they valued thought and ideas, as no other part of the country did. In Theseus their ideal was embodied. But Hercules embodied what the rest of Greece most valued. His qualities were those the Greeks in general honored and admired. Except for unflinching courage, they were not those that distinguished Theseus. Hercules was the strongest man on earth, and he had the supreme self-confidence magnificent physical strength gives. He considered himself on an equality with the gods.

 
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