Zeno's Paradoxes

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A reprint of the Bobbs-Merrill edition of 1970.

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.

Author Biography: The late Wesley C. Salmon was University Professor of Philosophy Emeritus, University of Pittsburgh.

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Editorial Reviews

A dozen essays published between 1929 and 1970, when the Bobbs-Merrill edition appeared, explore modern interpretations and applications of some enduring puzzles set in the Western world by the Greek philosopher Zeno of Elea in the fifth century BC. They deal with concepts that form the basis of modern science, such as space, time, motion, change, and infinity. The reprint has a new preface and an updated bibliography. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780872205611
  • Publisher: Hackett Publishing Company, Inc.
  • Publication date: 3/1/2001
  • Format: Library Binding
  • Edition description: Reprint
  • Pages: 317
  • Product dimensions: 5.84 (w) x 8.82 (h) x 0.94 (d)

Meet the Author

Wesley C. Salmon is University Professor of Philosophy Emeritus, University of Pittsburgh.

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Table of Contents

Resolution of the Paradox 1
Introduction 5
The Problem of Infinity Considered Historically 45
The Cinematographic View of Becoming 59
Achilles and the Tortoise 67
Achilles on a Physical Racecourse 82
Tasks and Super-Tasks 89
Tasks, Super-Tasks, and the Modern Eleatics 103
Comments on Professor Benacerraf's Paper 130
Zeno and the Mathematicians 139
Modern Science and Refutation of the Paradoxes of Zeno 164
Zeno's Metrical Paradox of Extension 176
Modern Science and Zeno's Paradoxes of Motion 200
App Sets and Infinity 251
Bibliography 269
Index 291
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