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Zeno's Paradoxes [Paperback]

Wesley C. Salmon
5.0 out of 5 stars  See all reviews (1 customer review)
Price: 12.95 & FREE Delivery in the UK. Details
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Book Description

1 May 2001
These essays lead the reader through the land of the wonderful shrinking genie to the warehouse where the 'infinity machines' are kept. By careful examination of a lamp that is switched on and off infinitely many times, or the workings of a machine that prints out an infinite decimal expansion of pi, we begin to understand how it is possible for Achilles to overtake the tortoise. The concepts that form the basis of modern science -- space, time, motion, change, infinity -- are examined and explored in this edition. Includes an updated bibliography. A reprint of the Bobbs-Merrill edition of 1970.

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Product details

  • Paperback: 317 pages
  • Publisher: Hackett Publishing Co, Inc; Reprint edition (1 May 2001)
  • Language: English
  • ISBN-10: 0872205606
  • ISBN-13: 978-0872205604
  • Product Dimensions: 13.8 x 21.3 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 622,808 in Books (See Top 100 in Books)

Product Description

About the Author

Wesley C Salmon, Editor

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Most Helpful Customer Reviews
5 of 5 people found the following review helpful
Format:Paperback
Zeno's paradoxes are some of the oldest surviving arguments in Western philosophy, and they're still some of the most thought-provoking. Like many of the best philosophical problems, they're quite easy to state but tackling them properly can take you into deep issues about reality, mathematics, time and space. Everybody with an interest in philosophy ought to know a bit about the 'Achilles & the Tortoise', 'Racetrack', 'Stadium' and 'Flying Arrow' paradoxes. And they're all here - in detail. Wesley Salmon has assembled a brilliant collection of articles from authors including Henri Bergson, Bertrand Russell and Adolph Grünbaum. Taken as a whole, this book offers a very comprehensive overview of the classic responses and challenges to Zeno. (Although be warned: some of the later papers - notably the second and third articles by Grünbaum - can get pretty technical in places.) A couple of good books to read in conjunction with this one, or as introductions to paradoxes in general, are Michael Clark's 'Paradoxes from A to Z' (from Routledge) and Roy Sorensen's 'A Brief History of the Paradox' (from Oxford).
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Amazon.com: 3.7 out of 5 stars  3 reviews
23 of 23 people found the following review helpful
5.0 out of 5 stars Good Survey of Modern Reaction 9 May 2004
By A Customer - Published on Amazon.com
Format:Paperback|Verified Purchase
This is a great introduction to the modern reaction to Zeno's paradoxes. The most important articles from Russell to the debates on infinity machines are included. The bibliography, at over 200 works, is the best I've seen. There is a mathematical bent to most of the articles, usually in the form of questions of infinity, or measure theory. Nonetheless, there are articles by philosophers who reject the idea of a completed infinity. I did a semester-long college project on Zeno's paradoxes, focusing on mathematical implications, and this was the most useful sourcebook by far.
2 of 5 people found the following review helpful
4.0 out of 5 stars Great Investigation of the Notion of Infinity 21 Mar 2006
By Raphael Rosen - Published on Amazon.com
Format:Paperback
I really enjoyed this book. It's a great survey of the notion of infinity, and the quality of the prose is, for the most part, very good. I would definitely recommend this book to anyone interested in philosophy, mathematics, or the history of thought.
3 of 7 people found the following review helpful
2.0 out of 5 stars Of historical interest only. 7 Mar 2012
By Sandy Lemberg - Published on Amazon.com
Format:Paperback
This book was obsolete before it was even published. It contains no material on nonstandard analysis, a subject which had been developed just a few years earlier, and nothing related to Smooth Infinitesimal Analysis, which was developed over the subsequent decade. The contributions give short shrift to the Arrow, the deepest of the paradoxes, and to the extent that the Arrow is discussed, the contributors miss the point entirely. (The point being that the derivative, which embodies instantaneous motion, depends classically for its definition on behavior at neighboring times.) Good information on the Arrow is still, to this day, hard to find. This book offers little or nothing to advance the topic. Cajori's history and modern research papers are much better sources.
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