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Is God a Mathematician? [Paperback]

Mario Livio
4.1 out of 5 stars  See all reviews (61 customer reviews)

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Book Description

January 19, 2010
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that -- mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is "a product of human thought that is independent of experience," how can it so accurately describe and even predict the world around us?

Mathematicians themselves often insist that their work has no practical effect. The British mathematician G. H. Hardy went so far as to describe his own work this way: "No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world." He was wrong. The Hardy-Weinberg law allows population geneticists to predict how genes are transmitted from one generation to the next, and Hardy's work on the theory of numbers found unexpected implications in the development of codes.

Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.


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Is God a Mathematician? + The Golden Ratio: The Story of PHI, the World's Most Astonishing Number + Zero: The Biography of a Dangerous Idea
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Editorial Reviews

From Publishers Weekly

The title of astrophysicist Livio's latest wide-ranging science survey is a teaser since God rarely makes an appearance; along with the French astronomer Laplace, Livio has no need of that hypothesis. Rather, Livio (The Golden Ratio) is concerned with the contentious question: is mathematics a human invention? Or is it the intricate design of the universe that we are slowly discovering? Scientists in past centuries have argued for the latter, Platonist position. In the last 50 years, however, many scientists, calling into question the whole idea of scientific discovery, maintain that we have invented mathematics. Livio gives as one example the famous golden ratio, which has fascinated Western mathematicians for millennia and was originally emphasized for its mystical symbolism. But Chinese mathematicians, not sharing that outlook, didn't discover it—or maybe they just didn't need to invent it. Livio hedges his bets, unsatisfyingly arguing that mathematics is partly discovered and partly invented. But Livio is a smooth writer. His fans will enjoy this book, and new ones may discover him. B&w illus. (Jan. 6)
Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved. --This text refers to an out of print or unavailable edition of this title.

From Booklist

*Starred Review* Four centuries after church inquisitors accused Galileo of dangerous skepticism, a modern astrophysicist hails the Italian scientist as the embodiment of bold faith: namely, faith that God himself inscribed the heavens in mathematics. Because mathematics now empowers research communities investigating everything from deep-space pulsars to genetic proteins, a secularized version of Galileo’s credo now defines the new orthodoxy of science. But Livio recognizes a profound mystery inherent in the formulas his colleagues employ so sedulously: Why does the universe harmonize so well with numbers accessible to human minds? Probing this mystery, Livio traces the evolution of mathematical reasoning from the ritual symbolism of the ancient Pythagoreans to the multilayered analyses of twenty-first-century string theorists. In the impressive parade of intellectual explorers, we encounter Archimedes pondering geometrical figures at the very moment of his death, Descartes overthrowing all of medieval philosophy with one audacious thought, and Gödel quashing the ambitions of system-building logicians. This wide-ranging inquiry, however, ultimately highlights far more than personalities. A sharp conflict emerges between platonically minded philosophers who view mathematical breakthroughs as transcendent discoveries and psychologically inclined thinkers who interpret these breakthroughs as merely human inventions. Testing the tensions between these views, Livio delivers an exhilarating foray into the founding premises of mathematical science. --Bryce Christensen --This text refers to an out of print or unavailable edition of this title.

Product Details

  • Paperback: 308 pages
  • Publisher: Simon & Schuster (January 19, 2010)
  • Language: English
  • ISBN-10: 0743294068
  • ISBN-13: 978-0743294065
  • Product Dimensions: 8.6 x 5.6 x 0.8 inches
  • Shipping Weight: 11.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (61 customer reviews)
  • Amazon Best Sellers Rank: #203,597 in Books (See Top 100 in Books)

More About the Author

Mario Livio is a senior astrophysicist and the Head of the Office of Public Outreach at the Space Telescope Science Institute (STScI) in Baltimore, Maryland. He is the author of The Golden Ratio, a highly acclaimed book about mathematics and art for which he received the International Pythagoras Prize and the Peano Prize, The Equation That Couldn't Be Solved, and The Accelerating Universe. He lives in Baltimore, Maryland.

Customer Reviews

Most Helpful Customer Reviews
62 of 67 people found the following review helpful
5.0 out of 5 stars answers or questions? January 10, 2009
Format:Hardcover
The specific question posed in the title doesn't actually get answered (at least not directly by God). In fact, it gets illuminated, and in the most entertaining and probing ways. Dr. Livio weaves together science, history, and philosophy breathing life into some of the most famous thinkers and thinking about mathematics' extraordinary utility in describing our physical world. He explains these sometimes contrary perspectives so clearly and concisely you feel you could almost write a layman's treatise yourself. Were he a teacher at my high school or university he would have been my favorite, leaving me with not only profound understandings but, perhaps moreso, with profound questions.
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23 of 24 people found the following review helpful
3.0 out of 5 stars A concise overview of mathematical history June 15, 2009
Format:Hardcover
I had two reactions to the book. The first is a little negative since the book does not answer the question posed in the title, or the real issue the book sets out to investigate: Why is mathematics is so unreasonably effective at describing nature? Mathematics is used to understand and describe everything from radioactive decay, the movements of planets, the way our brain works, the construction of bridges, and countless other phenomenon. But why does it work so well? The other reaction is positive. The book provides an interesting overview of mathematical history over the past 2,000 years. All concepts are explained in everyday language; no mathematical background is required. This is a strong point of the book. The book is whirlwind tour of mathematical history covering the main ideas of the greatest mathematical thinkers, and touching on such subjects as logic, geometry, gravitation, and knots.
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41 of 49 people found the following review helpful
5.0 out of 5 stars an absolutely MUST HAVE book from a great scientist! January 9, 2009
Format:Hardcover
Anyone interested in mathematics, philosophy, or science, will love this book.
Even though I always knew that all the fundamental theories of the universe are based on mathematics, it somehow never occurred to me to ask: What is it that makes mathematics so powerful?
Livio explains why the question is even more important than the answer.
What makes this book quite unique is the fact that it is not so much a history of mathematics, as it is a history of ideas on mathematics.
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Most Recent Customer Reviews
4.0 out of 5 stars Nice overview of the long time marriage of mathematics and physics.
As any good story and discovery:
“Far better an approximate answer to the right question, which is often vague, than an exact answer to the wrong question, which can always be... Read more
Published 2 months ago by Walter Ponge-Ferreira
5.0 out of 5 stars Great Book!
I bought this book for a friend for his birthday and for myself. It's a great way to start pondering on bigger things in life! I recommend it!
Published 3 months ago by Andrea Galfi
4.0 out of 5 stars Enjoyable journey through history!
I guess I had a much different take on this book compared to many other readers. I thoroughly enjoyed the immense amount of research that went into this book. Read more
Published 3 months ago by swiminakilt
3.0 out of 5 stars Lower quality paperback
I can't speak to the actual content of the book because I gave it as a gift. The actual quality of the book itself, though, is poor. Read more
Published 4 months ago by Dalimama
4.0 out of 5 stars Informative and Entertaining
This is the second book by Mario Livio I've enjoyed reading (the first being The Golden Ratio: The Story of Phi). Read more
Published 4 months ago by M. Edwards
1.0 out of 5 stars Get to the point.
The author rambles so much I had to put the book down.

Each chapter is like the the start of a commercial break. Each paragraph is a new commercial. Read more
Published 5 months ago by 123
5.0 out of 5 stars Very enjoyable
I love this book. The presentation of the history of mathematics under the umbrella of "is mathematics discovered or invented? Read more
Published 6 months ago by Tamer
4.0 out of 5 stars "Invention or Discovery?"
I bought a personally autographed hardcover copy of this book at a public talk offered by the author in January of '09. I found many of these explorations interesting as Dr. Read more
Published 7 months ago by Combined Text
4.0 out of 5 stars Amazing math history book; weak conclusion
Given his different professional work, Livio must be exceptionally talented to be able to write as accurately and thoughtfully about the history of the foundations of mathematics... Read more
Published 7 months ago by peterr
5.0 out of 5 stars Fascinating book that gives much insight into the history of...
What a great book. I love these kind of books. They make dense history so easy to understand and remember with particular people and their works and how they related to one... Read more
Published 11 months ago by Ronnie Lee
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