- Paperback: 317 pages
- Publisher: Hackett Pub Co Inc; Reprint edition (March 2001)
- Language: English
- ISBN-10: 0872205606
- ISBN-13: 978-0872205604
- Product Dimensions: 21.2 x 13.8 x 2 cm
- Shipping Weight: 399 g
- Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
- Amazon Bestsellers Rank: #530,091 in Books (See Top 100 in Books)
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Product Details |
Product Description
Book Description
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.
About the Author
The late Wesley C. Salmon was University Professor of Philosophy Emeritus, University of Pittsburgh.
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Most helpful customer reviews
1 of 1 people found the following review helpful
5.0 out of 5 stars
Good Survey of Modern Reaction,
By A Customer
This review is from: Zeno's Paradoxes (Paperback)
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.
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Most Helpful Customer Reviews on Amazon.com (beta) Amazon.com:
3.7 out of 5 stars (3 customer reviews) 20 of 20 people found the following review helpful
5.0 out of 5 stars
Good Survey of Modern Reaction,
By A Customer - Published on Amazon.com
Amazon Verified Purchase(What's this?)
This review is from: Zeno's Paradoxes (Paperback)
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.
2.0 out of 5 stars
Of historical interest only.,
By Sandy Lemberg - Published on Amazon.com
This review is from: Zeno's Paradoxes (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.
2 of 4 people found the following review helpful
4.0 out of 5 stars
Great Investigation of the Notion of Infinity,
By Raphael Rosen "Reviewer" - Published on Amazon.com
This review is from: Zeno's Paradoxes (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.
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