Books
“Zero: The Biography of a Dangerous Idea” by Charles Seife
It's weird, it's counterintuitive and the Greeks hated it.
This is it: the book critic’s nightmare. A creature of unquiet dreams, wrought of the most tenebrous dregs of the Morphic philter. A chimera of … well, you get the idea. This is a book about nothing, filled with scary math problems. If you were to find yourself reviewing a book in your underwear, late for a final exam, with wolves chasing you around a pink marble obelisk — this is that book. As Charles Seife explains: “Consider the expression x/(sin x) when x = 0; x = 0 as does sin x, so the expression is equal to 0/0. Using L’Hopital’s rule, we see that the … ” And then you wake up in your chair with that copy of the new Judith Butler still fluttering in your lap — we all know the drill.
Actually, “Zero: The Biography of a Dangerous Idea” isn’t nearly that dry, and it’s not the only book on the topic to have hit the shelves recently. Science and mathematics have long had an odd tendency to generate two independent solutions to a problem at a single historical moment — in the way that Gottfried Leibniz and Isaac Newton developed calculus independently in the 1660s — and last October brought us Robert Kaplan’s “The Nothing That Is: A Natural History of Zero,” a playful, lyrically written text on the evolution, from ancient times on, of the idea of naught and the familiar oblong symbol that we use to denote it. Kaplan’s book falls into the same tradition of liberal-artsy books on math as Paul Hoffman’s “The Man Who Loved Only Numbers” and Robert Kanigel’s “The Man Who Knew Infinity.” Seife’s book, while it also aims at a popular readership, is a more expository, more math-intensive (and perforce somewhat harsher) one, but equally rewarding, if you’re willing to follow it where it wants to take you.
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Seife begins in prehistory, before the advent of numerals, and shows that zero is a far stranger, more counterintuitive idea than it might seem today. With number systems that are based on counting and measurement, there’s no occasion to conceive of nothing except as an absence of something concrete — as no pebbles rather than some, nothing for dinner, no room at the inn. Back then, anything less than one simply registered as “aren’t any,” which makes perfect sense when you imagine the realm of infinite specters that zero the number calls into being. The empty room around you contains zero herds of buffalo, zero dead relatives, zero Scythian horse troops. With zero, they are there; you can count them. They total one less than one.
It was only with the advent of numerical notation and arithmetic that zero as a discrete concept became necessary, first as a simple place holder in the Babylonian number system, and later, with the Greeks, as an astronomical tool. But the Greeks, Seife writes, “didn’t like zero at all, and used it as infrequently as possible.” The Greeks were, if anything, a people obsessed with proportion, and, as Seife explains, the twin concepts of the infinite and the void (both of which are, like an infinite troop of no Scythian horsemen, contained in zero) played hell with the architectonic principles of both Pythagorean geometry and Aristotelian philosophy. Once you let zero in, some joker somewhere is going to try dividing and multiplying by zero, which produces all sorts of paradoxical results. Does, say, five divided by zero equal nothing, infinity or both? Is there really a difference between nothing and infinity? Once you get accustomed to thinking about that sort of thing, soon enough you’ll have to start dealing with irrational numbers, such as pi, which Pythagoras tried assiduously to sweep under the rug. And at that point, everything the ancients thought they knew about mathematics begins to fall into ruin.
It was India that first domesticated zero, through the Hindu familiarity with the concepts of infinity and the void. Neither pagan Rome nor the Christian Europe of the Middle Ages had any truck with it; during this period it was disseminated through much of the East via Islam, and to some extent through the Jewish mystical tradition. Then came the Renaissance — a time when much, indeed, was ado about nothing.
But from here on in, we’re getting into some serious math. Seife explains the use of fluencies in Newton’s calculus — imaginary infinitesimal quantities used to round zero into a positive number — and then proceeds through a number of heavy-duty equations to show why they “need never be thought of again.” But of course, lots of their little infinitesimal friends keep coming back throughout the story, and the key to enjoying the latter half of Seife’s book is actually to make an attempt at the math. Zero lurks at the heart of the calculus like a tiny black hole, pulling the equations into shape as though through the invisible force of gravity.
But from there through Georg Reimann’s projective geometry, past the cabalistic mathematics of Georg Cantor and on into Einstein and string theory, it gets even more ephemeral and elusive. The math begins to drop out of the text, closing the aperture through which zero can be made visible. If you’ve been slacking on the equations, Seife blazes on ahead, turning corners faster than you can catch up. But if you’ve made even fumbling attempts at Newton et al., you’ll discover that Seife has a talent for making the most ball-busting of modern theories (string theory again; basic quantum mechanics) seem fairly lucid and common-sensical.
It’s all, as the Hindus knew, a play between the void and the absolute. And in that regard, the barrier that keeps many of us from understanding serious science and mathematics (that keeps these disciplines, much like serious art and literature, out of the public realm) might simply be one of focus — of learning to see the infinite and the void on their own terms, as presences unto themselves that can be tracked and studied but never quite observed or caught.
Gavin McNett is a frequent contributor to Salon. More Gavin McNett.
“People Who Eat Darkness”: The disappearing blonde
A true crime story set in Tokyo illuminates the complicated truths behind media cliches
Joji Obara and Lucie Blackman (Credit: Estate of Lucie Jane Blackman) Lucie Blackman, 21, went out for the afternoon in 2000, phoning her roommate and best friend Louise to arrange a meeting later that night. Lucie never showed up, and within a few days she’d become one of those vanished blondes whose fates fuel headlines and hours of speculative media coverage. She was British, a former flight attendant, and she and Louise were living in Tokyo. They were also bar hostesses, a profession with a very specific meaning in Japan, difficult to explain to foreigners and not entirely clear to the Japanese themselves. Lucie both did and didn’t match the classic Missing Blonde profile, and for a while the mystery of what happened to her threatened to lapse into permanent obscurity.
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Laura Miller is a senior writer for Salon. She is the author of "The Magician's Book: A Skeptic's Adventures in Narnia" and has a Web site, magiciansbook.com. More Laura Miller.
Corporate criminals gone wild
The maker of the documentary film "Inside Job" has a new book excoriating Wall Street -- and President Obama
A detail from the cover of "Predator Nation" “Inside Job,” Charles Ferguson’s Oscar-winning documentary film on how government, Wall Street and academia colluded to deliver us the worst financial crisis since the Great Depression, made a powerful case that something was very very rotten at the heart of the American political/economic nexus. His follow-up book, “Predator Nation: Corporate Criminals, Political Corruption, and the Hijacking of America,” can be considered the legal brief that dots every “i” and crosses every “t” in his argument. A tightly argued, profusely footnoted and deeply enraged castigation of everyone involved, “Predator Nation” isn’t just a factually unchallengeable account of how Wall Street blew up the global economy. It’s a denunciation, a call for justice and a warning: After getting away with the crime of the century, Wall Street still isn’t satisfied.
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Andrew Leonard is a staff writer at Salon. On Twitter, @koxinga21. More Andrew Leonard.
Can you identify?
Science shows that the only way around some readers' prejudices is to trick them
(Credit: Shutterstock/Salon) The news of recent research documenting how readers identify with the main characters in stories has mostly been taken as confirmation of the value of literary role models. Lisa Libby, an assistant professor at Ohio State University and co-author of a study published in the Journal of Personality and Social Psychology, explained that subjects who read a short story in which the protagonist overcomes obstacles in order to vote were more likely to vote themselves several days later.
The suggestibility of readers isn’t news. Johann Wolfgang von Goethe’s novel of a sensitive young man destroyed by unrequited love, “The Sorrows of Young Werther,” inspired a rash of suicides by would-be Werthers in the late 1700s. Jack Kerouac has launched a thousand road trips. Still, this is part of science’s job: Running empirical tests on common knowledge — if for no other reason than because common knowledge (and common sense) is often wrong.
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Laura Miller is a senior writer for Salon. She is the author of "The Magician's Book: A Skeptic's Adventures in Narnia" and has a Web site, magiciansbook.com. More Laura Miller.
“The Aleppo Codex”: The bizarre history of a precious book
A reporter traces the shadowy fate of the definitive version of the Hebrew Bible
Matti Friedman An ancient and priceless book, a murky history of evasions and coverups, an underground of sinister and possibly violent dealers, a former spy who drops tantalizing hints and a wily 84-year-old millionaire who says stuff like, “The problem with this story is that it could damage your health”: Are these the ingredients for a cheesy, improbable historical thriller? Yet “The Aleppo Codex,” Matti Friedman’s account of his attempts to learn the history of one of the world’s most precious books, sports all of these assets, and it’s nonfiction. If reporting this story damaged Friedman’s health, it probably happened when he realized what he’d stumbled into and his reporter’s heart started beating in doubletime.
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Laura Miller is a senior writer for Salon. She is the author of "The Magician's Book: A Skeptic's Adventures in Narnia" and has a Web site, magiciansbook.com. More Laura Miller.
Augusten Burroughs: Conquer trauma by letting it go
Salon exclusive: The best-selling memoirist says past horrors haunt us because we think about them too much. Stop
Augusten Burroughs Many people continue to feel influenced and even controlled by the things that happened to them a long time ago. Sometimes, people harbor dark, traumatic memories from childhood. Or fragments of memories — incomplete scenes, uncomfortable feelings, perhaps even a sense of certainty that something specific and terrible happened to them, but little more than this.
Others experienced something traumatic in adulthood that continues to affect them day to day many years later. Maybe an assault has left a person afraid to leave their home or enter a particular neighborhood.
Continue Reading CloseAugusten Burroughs' many books include "Runnning With Scissors," "Dry," "Sellevision," "Magical Thinking" and "Possible Side Effects." His latest book is "This Is How." More Augusten Burroughs.
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