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This is the Barber's Paradox, discovered by mathematician, philosopher and conscientious objector Bertrand Russell, at the begining of the twentieth century. As stated, it seems simple, and you might think a little thought should show you the way around it. ... 'Senior mathematical challenge'
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plus.maths.org/issue20/xfile/index.html
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Significance of the paradox ... Because of this, and because set theory underlies all branches of mathematics, many people began to worry that, if set theory was inconsistent, no mathematical proof could be trusted completely.
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plato.stanford.edu/entries/russell-paradox/
plato.stanford.edu/entries/russell-paradox/
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This is the paradox of mathematical possibilities. It truly seems contradictory. There are an infinite number of numbers, so it naturally seems like there should be an infinite number of mathematical possibilities.
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mikeschuler.web.aplus.net/id35.html
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Mathematical Paradox; Reviewed by Péter Komjáth; OCTOBER 2006 NOTICES OF THE AMS 1035; The Pea and the Sun: A Mathematical Paradox; Leonard M. Wapner; A K Peters, Ltd., 2005; ISBN 1-56881-213-2; ... It is one of the (very) few great mathematical results that can be fully understood by anyone: a solid ball can be...
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www.ams.org/notices/200609/rev-komjath.pdf
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Amazing Abacus Math Video ... Amazing the Lion: Teaser 1 "Math" ... Tags: Paradox Math Strange Amazing Unbelievable Cool Games Show Monty Hall Goats Fun Cars Impossible Freaking...
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www.metacafe.com/watch/688518/amazing_mathematical_para...
www.metacafe.com/watch/688518/amazing_mathematical_paradox_i_bet_you_dont_know_the_answer/
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All about The Pea and the Sun: A Mathematical Paradox by Leonard M. Wapner. LibraryThing is a cataloging and social networking site for booklovers ... Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills by Paul J. Nahin...
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www.librarything.com/work/1150668
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A Math Forum Project ... Zeno's first paradox attacks the notion held by many philosophers of his day that space was infinitely divisible, and that motion was therefore continuous. ... Paradox 1: The Motionless Runner...
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mathforum.org/isaac/problems/zeno1.html
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Interestingly, as mentioned above, the Achilles paradox was only one of 40 arguments Zeno is thought to have produced, and in another of his arguments called the Arrow, Zeno also shows that the assumption that the universe consists of finite, indivisible elements is apparently incorrect.
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plus.maths.org/issue17/xfile/index.html
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