The Nothing that Is: A Natural History of Zero

The Nothing that Is: A Natural History of Zero
by Robert Kaplan

The Nothing that Is: A Natural History of Zero
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Book Summary Information

Author: Robert Kaplan
Illustrator: Ellen Kaplan
Edition: Paperback
Audio: English (Unknown); English (Original Language); English (Published)
Published: 2000-12-07
ISBN: 0195142373
Number of pages: 240
Publisher: Oxford University Press, USA

Book Reviews of The Nothing that Is: A Natural History of Zero

Book Review: Diving into nothing
Summary: 5 Stars

I write this review not only for its own sake, but to reply to the common complaints about it.

To be fair, it is true that this is not an easy read. However, this is less due to the prose of the author than it is to the great seriousness which he devotes to this concept. The further that you read into this book, the more it is clear that the concept of zero is so interwoven into every fabric of what has created our civilization that it is impossible to discuss it without summoning philosophy, religion, language, art... nothing, as this book shows, is truly in everything.

It is also true that there is no bibliography, and I too would like to look at some of the sources Kaplan uses. However, to say, as some people claim, that Kaplan had an agenda in re-writing history is not at all reinforced by the evidence. As he wades through the murky origins of this number (and concept), he takes pains to give ample amounts of evidence. His result doesn't dictate, but instead lets the reader decide.

Based on the number of 1-star reviews this has gotten, it clearly is not for everyone. However, I worked my way through it, and if I rushed at the end, it was only because I was insistent on finishing it so I could immediately give it to a friend who was interested in this concept as well. This one takes work: but in my opinion, it's a price well paid for a fanastic book on one of the most elusive of concepts.

Summary of The Nothing that Is: A Natural History of Zero

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 mathematics 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.
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

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