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Everything and More: A Compact History of Infinity (Great Discoveries)

David Foster Wallace
 
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The best-selling author of Infinite Jest on the two-thousand-year-old quest to understand infinity.

One of the outstanding voices of his generation, David Foster Wallace has won a large and devoted following for the intellectual ambition and bravura style of his fiction and essays. Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.

Is infinity a valid mathematical property or a meaningless abstracti... (show more)

The best-selling author of Infinite Jest on the two-thousand-year-old quest to understand infinity.

One of the outstanding voices of his generation, David Foster Wallace has won a large and devoted following for the intellectual ambition and bravura style of his fiction and essays. Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.

Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.

Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

About the series:Great Discoveries brings together renowned writers from diverse backgrounds to tell the stories of crucial scientific breakthroughs—the great discoveries that have gone on to transform our view of the world. (show less)

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Reviews (See all 9) Write a reviewfor this

  • Super_review

    Just finished this and wow am I confused about what to say. Basically if you're already interested in the subject matter (abstract analysis, set theory, the history of infinity and math history in general) then you will probably know most or all of this and can see what you think of Wallace's presentation. If you're not... well despite his best intentions this is probably not the best place to start. Wallace states outright that he wants to write a book that shows the beauty of math withou... (show more)

    Just finished this and wow am I confused about what to say. Basically if you're already interested in the subject matter (abstract analysis, set theory, the history of infinity and math history in general) then you will probably know most or all of this and can see what you think of Wallace's presentation. If you're not... well despite his best intentions this is probably not the best place to start. Wallace states outright that he wants to write a book that shows the beauty of math without requiring more than a basic background, but I can't see anyone really saying that he succeeded, unfortunately. Even without his endless (and admittedly endearing) footnotes and "interpolations" and "emergency glossaries" and other plays on book structure, he seems to have made the subject matter more confusing than it already is (which is quite a bit). As someone who already knew most of the math in this book, I found myself struggling to follow his writing more than a few times.

    On the other hand, it's a wild ride, and mostly a fun one, simply by the nature of its author, who wrote fantastically inventive, quirky, clever, and enjoyably self-referential prose. For example, I'm not sure if he ever used the same adjective twice in this book, which was part of the problem but also, I think, part of the point. (show less)

     
     
    by Facebook-användare on Sep 14, 2008 at 10:54AM

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  • As a grad student in the sciences, I have some background in applied math. I think this background helped me throughout the book. That said, I didn't have to slog through it. I think I probably stayed up past my bedtime more than a few nights because DFW's writing is so electric.

     
     
    by Facebook-användare on Jul 01, 2008 at 07:44AM

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