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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).
-Benoit Mandelbrot
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If You Assume Continuity, You Can Open

Benoit Mandelbrot
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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Nature Science Past

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Like music or art, mathematical equations can have a natural progression and logic that can evoke rare passions in a scientist. although the lay public considers mathematical equations to be rather opaque, to a scientist an equation is very much like a movement in a larger symphony. simplicity. elegance. these are the qualities that have inspired some of the greatest artists to create their masterpieces, and they are precisely the same qualities that motivate scientists to search for the laws of nature. like a work of art or a haunting poem, equations have a beauty and rhythm all their own.
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The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.
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It had also been my belief since i started writing fiction that science fiction is never really about the future. when science fiction is old, you can only read it as being pretty much about the moment in which it was written. but it seemed to me that the toolkit that science fiction had given me when i started working had become the toolkit of a kind of literary naturalism that could be applied to an inherently incredible present.
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Pirate dreams needles and pins, needles and pins, sew me a sail to catch me the wind. sew me a sail strong as the gale, carpenter, bring out your hammers and nails. hammers and nails, hammers and nails, build me a boat to go chasing the whales. chasing the whales, sailing the blue find me a captain and sign me a crew. captain and crew, captain and crew, take me, oh take me to anywhere new.
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Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? what particular goals will there be toward which the leading mathematical spirits of coming generations will strive? what new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose?
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