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Hotel Infinity.(The Pea and the Sun: A Mathematical Paradox)(Book Review)

New Criterion

| October 01, 2005 | Gardner, Martin | COPYRIGHT 2005 Foundation for Cultural Review. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)Copyright

Leonard M. Wapner The Pea and the Sun: A Mathematical Paradox. A. K. Peters, 218 pages, $34.

There is a big difference between what mathematicians call a fallacy and what they call a paradox. A fallacy is a flawed proof, such as the "proof" on page fifty-four of the book under review, that all triangles are isosceles. A paradox is an assertion almost impossible to believe but nevertheless true. A good example is the famous twin paradox of relativity. If one twin travels a long distance from the earth, at a fast speed, then returns, she'll be younger than her stay-at-home sister. The time difference can be arbitrarily large. If the traveling twin goes to a distant ...

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