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Once Upon A Number: The Hidden Mathematical Logic Of Stories
 
 
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Once Upon A Number: The Hidden Mathematical Logic Of Stories [Paperback]

John Allen Paulos (Author)
4.1 out of 5 stars  See all reviews (17 customer reviews)

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Book Description

October 8, 1999
What two things could be more different than numbers and stories? Numbers are abstract, certain, and eternal, but to most of us somewhat dry and bloodless. Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible.Once Upon a Number shows that stories and numbers aren’t as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means—by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms.Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they’re stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber’s thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America’s favorite mathematician.

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Editorial Reviews

Amazon.com Review

Mathematician John Allen Paulos bravely bridges the scientific and literary cultures with this amusing, enlightening look at numbers and stories. If you think those two things go together like a "horse and a paperclip," as Allen wryly observes, you only have to look at phenomena like the Bible codes, the stock market's ups and downs, and the Clinton sex scandal to begin to understand the hidden bonds between them. Put simply, mathematics can describe everything that happens, and everything that happens contextualizes mathematics. In demonstrating this, Paulos continues the noble numeracy crusade he began with A Mathematician Reads the Newspaper and Innumeracy. Perhaps the most compelling thought experiments in the book are those of the statistics of stereotyping and race relations. Paulos shows, mathematically, that minority status makes achieving equality extraordinarily difficult.

If you want to keep hold of your comfortable worldview, don't read Once Upon a Number. But you'll be missing out on an unforgettable reminder of what chance, coincidence, and odds really mean, along with several valuable life lessons that may help you understand lost socks, racism, and mistaken identity. --Therese Littleton --This text refers to an out of print or unavailable edition of this title.

From Publishers Weekly

"This book is not concerned with the history of great theorems, but with bridging, or at least clarifying, some of the gaps between formal mathematics and its applications." This statement of purpose, more clearly than the book's title, best sums up Paulos's goals in his latest work. Paulos (Innumeracy) insists that statistics cannot be disconnected from the stories?or narrative contexts?that attach them to the complexities of the world. He demonstrates this idea through examples including recent controversies over birth order and the so-called Bible codes. Before we can agree on the meaning of statistics about birth order, he contends, we must agree on what the terms involved mean. Is an only child the same as a first-born? What about a baby born to a large family but then adopted by a childless couple? Paulos turns to the Bible codes to demonstrate that it is the stories we tell about seemingly improbable coincidences, rather than the mathematics involved, that make them compelling. Not only are most seeming coincidences of "stunning insignificance," he explains, but in the case of textual analysis, they are easy to generate. Paulos shows this by easily locating the names "Bill" and "Monica" in the U.S. Constitution. The author may occasionally frustrate readers with an indirect approach, and some sections read more like trenchant observations than argument, but his sense of humor is always quite winning. Paulos's insightful and amusing observations on how the truths discovered through mathematics should be applied to our everyday lives will appeal to an audience beyond math and science enthusiasts. Author tour.
Copyright 1998 Reed Business Information, Inc. --This text refers to an out of print or unavailable edition of this title.

Product Details

  • Paperback: 224 pages
  • Publisher: Basic Books; New edition edition (October 8, 1999)
  • Language: English
  • ISBN-10: 0465051596
  • ISBN-13: 978-0465051595
  • Product Dimensions: 8 x 5.3 x 0.6 inches
  • Shipping Weight: 9.1 ounces (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (17 customer reviews)
  • Amazon Best Sellers Rank: #903,516 in Books (See Top 100 in Books)

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Customer Reviews

17 Reviews
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4 star:
 (3)
3 star:
 (5)
2 star:
 (1)
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Average Customer Review
4.1 out of 5 stars (17 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

15 of 15 people found the following review helpful:
5.0 out of 5 stars Paulos continues with his amazing mathematical insights, November 23, 1998
By A Customer
This review is from: Once Upon a Number (Hardcover)
I saw the Salon review of this and promptly ordered it. A little trepidatious at first, I thought the book might be a rehash of Innumeracy and A Mathematician reads the Newspaper, which I loved. I was wrong. The book has Paulos's wry, witty tone and the many examples and insights are characteristically quirky, but the topic is very different - the similarities and differences between stories and mathematics, between their associated logics and world views, and the different mindsets they bring about. Somehow he relates Murphy's Law, the limited complexity of the human brain, topical news stories, bible codes, race issues, and many other amusing tidbits into a coherent argument about our place in the world. And there isn't an equation in sight.
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9 of 9 people found the following review helpful:
5.0 out of 5 stars Fast-paced, insightful and totally unique, February 17, 2001
By 
Matthew Wells (Ottawa, Ontario, Canada) - See all my reviews
This review is from: Once Upon A Number: The Hidden Mathematical Logic Of Stories (Paperback)
Of all the science books that I have read, there are only a few that I would classify as a must-read. I definitely put this book in that category. I have never read a Paulos before, and was amazed at how facinating the world of probability and statistics is when it is described this well! Authors of books about the wonders of the universe would be lucky if they could make their subjects as interesting as Paulos makes his.

There are four major concepts described in this book: the origins of probability and statistics (in particular how these subjects grew out of our natural observations of the world), the effect of subjective perspectives on our interpretation of both story and statistics, intensional logic (the still little-understood logical structure of this subjective interpretation), and information theory. The book takes a fast-paced, entertaining tour through these topics, and Paulos adds interesting personal anecdotes and bad (intentioanlly) jokes. The book concludes with a discussion of the chasm between the arts and sciences (and those who like to keep it that way).

If your looking for a detailed study of any of these topics, however, then this book may not be for you. But this is a good introduction to subjects you may no little about, but will most likely by facinated by when you finish reading.

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5 of 5 people found the following review helpful:
5.0 out of 5 stars Insightful and brave, August 6, 1999
By A Customer
This review is from: Once Upon a Number (Hardcover)
I read Innumeracy many years ago and have been reading Paulos' recent monthly column on abcnews.com and so I bought a copy of Once Upon a Number. I was very surprised at it. It seems to me to be a departure, a brave mathematical foray into the realms of literature and everyday life. The many insights in it are arresting not so much for their mathematical content (although I did minor in math in college) but for the strange new perspectives they provide that are "obvious" only after they've been made. Very intriguing stuff!
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Inside This Book (learn more)
First Sentence:
STORIES AND STATISTICS? Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
new secret number, intensional logic, extensional logic, effective complexity, informal discourse, risky policy
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Murphy's Law, David Hume, Cambridge University Press, Library of Congress, Oxford University Press
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