The Nothing that Is: A Natural History of Zero (Google eBook)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 zeroor 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 doubleentry 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. 
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

Review: The Nothing that Is: A Natural History of Zero
User Review  Megan Baxter  GoodreadsKaplan never met a literary allusion he didn't like. At times this works, as it adds depth and surprising insight into some of the mathematical concepts he's talking about. At other times, it feels ... Read full review
Review: The Nothing that Is: A Natural History of Zero
User Review  Kenneth Millington  GoodreadsThe history of the concept of zero is really intriguing. Certain ideas are so common place for us we never actually investigate where they came from or how they came to be. We accept them without ... Read full review
Contents
1  
MIND PUTS ITS STAMP ON MATTER  4 
THE GREEKS HAD NO WORD FOR IT  14 
TRAVELERS TALES  28 
EASTWARD  36 
DUST  50 
INTO THE UNKNOWN  57 
A PARADIGM SHIFTS  68 
ENTERTAINING ANGELS  116 
2 Knowing Squat  120 
3 The Fabric of This Vision  129 
4 Leaving No Wrack Behind  137 
ALMOST NOTHING  144 
2 Two Victories a Defeat and Distant Thunder  160 
IS IT OUT THERE?  175 
BATHHOUSE WITH SPIDERS  190 
Common terms and phrases
abacists abstract answer Arabic Arabic numerals Archimedes arithmetic Aryabhata astronomer axioms beginning Bhaskara Brahmagupta brahman calculation called century cipher column counters counting board cycle digits Diophantus divide empty set equations example exponents factors figures follow fractions Frank Brimsek give grains of sand Greek Haab Hindu hollow circle Indian infinite insight invention invisible language large numbers Leibniz look Mahavira mathematicians mathematics matter Maya means mind monad motion multiply myriad names negative numbers Newton Nicolas Chuquet numbers once Osborne Reynolds Paradigm perhaps play positional notation proof reckoning sense sexagesimal shift slope space stand subtraction Sumerians sunya syadvada symbol for zero tell things thought truth tttt turn Tzolkin universe Varahamihira whole number wonder words writing written wrote zero day zero's
Popular passages
Page 1  If you look at zero you see nothing; but look through it and you will see the world.