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Physics

Review: How Mathematicians Think by William Byers

By Gregory Chaitin

25 July 2007

Mathematics is a wonderful, mad subject, full of imagination, fantasy and creativity that is not limited by the petty details of the physical world, but only by the strength of our inner light. Does this sound familiar? Probably not from the mathematics classes you may have attended. But consider the work of three famous earlier mathematicians: Leonhard Euler (18th century), Georg Cantor (19th century) and Srinivasa Ramanujan (20th century).

Euler, who created much of the mathematics used today, had never heard of the notion of mathematical rigour: he played happily with unruly divergent sums, was almost never led astray…

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