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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.
|Resolution of the Paradox||1|
|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|