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Search - The Nothing That Is: A Natural History of Zero

The Nothing That Is A Natural History of Zero
Author: Robert Kaplan

A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathemati... more »cs our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figure large sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treating zero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called "dangerous Saracen magic" and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools like double-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speak only in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything. Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. 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. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

ISBN-13: 9780195128420
ISBN-10: 0195128427
Publication Date: 10/15/1999
Pages: 225
Rating:

Currently 5/5 Stars.

5 stars, based on 1 rating

Publisher: Oxford University Press
Book Type: Hardcover
Other Versions: Paperback
Members Wishing: 0
Reviews: Member | Amazon | Write a Review

Top Member Book Reviews

John R. (rocheklip) reviewed The Nothing That Is: A Natural History of Zero on 12/17/2007 + 2 more book reviews

Helpful Score: 2

In tracing the origin of the zero and it's use, the author also examines early number systems.

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David K. (d-avid) reviewed The Nothing That Is: A Natural History of Zero on 11/7/2009 + 6 more book reviews

The combination of broad humanistic references, speculative spirit, elegant (sometimes poetic) style and (last and, for me, least)careful mathematical explanation makes this a really extraordinary book. I was totally engrossed in it while reading, and have found myself rethinking many of the ideas since I finished it. I look forward to re-reading it in perhaps six months. I'm sure I'll discover yet more richness that I missed the first time around. This book is not for everyone, but if you have the intellectual energy to invest, you'll be amply rewarded. All in all, it's a wonderful celebration of what the human mind is capable of at its most expansive.

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Genres:

Science & Math >> History & Philosophy >> General
Science & Math >> History & Philosophy >> History of Science
Science & Math >> Mathematics >> History
Science & Math >> Mathematics >> Popular & Elementary >> Arithmetic
Science & Math >> Mathematics >> Pure Mathematics >> Number Theory
Engineering & Transportation >> Professional Science >> Mathematics >> Pure Mathematics >> Number Theory

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