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The Nothing that Is: A Natural History of Zero (1999)
Amazon.com Amazon.com Review (ISBN 0195142373, Paperback)The publisher says The Nothing That Is is "in the tradition" of Dava Sobel's bestselling Longitude, presumably because it is both lyrically written and underillustrated. It's more accurate to describe it as in the tradition of something old enough to have a tradition: the cabinet of curios, a natural history in the old sense.
Robert Kaplan is a mathematics teacher, and he organizes his cabinet around--nothing. How did we come to have a symbol for zero? Who used it first? Usually the invention (or discovery) of zero is given as occurring in India in about the year 600 CE. Kaplan gives much more shrift to Sumerian, Babylonian, and Greek experiments with abacuses, counting boards, positional notation, and abstract thought. He acknowledges that his approach will be controversial:
Haven't all our dots funneled back to India? Were zero and the variable not truly born here, twin offspring of sunya and what seems the singularly Indian understanding of vacancy as receptive? But like an hour-glass, the funnel opens out again and the dots stream down to ancient Greece.
Kaplan's meditations on zero are not confined to its origin. He muses on the "zero of self," on infinitesimals, on the Mayan zero, and on the nothingness of suicide. Throughout, he shows "a sensuous delight in syllables," a love of words as well as numbers, that makes the book a feast for both halves of the brain. --Mary Ellen Curtin
(retrieved from Amazon Sat, 05 Jan 2013 22:50:20 -0500)
Without zero, mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? And what, exactly, does it mean? For Kaplan, the history of zero is a lens for looking not only into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. The beauty of mathematics is that even though we invent it, we seem to be discovering something that already exists. The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture.--From publisher description.
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