Zeno's Paradoxes

Zeno's Paradoxes

by Wesley C. Salmon
     
 

ISBN-10: 0872205614

ISBN-13: 9780872205611

Pub. Date: 03/01/2001

Publisher: Hackett Publishing Company, Inc.

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

Overview

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.

Product Details

ISBN-13:
9780872205611
Publisher:
Hackett Publishing Company, Inc.
Publication date:
03/01/2001
Edition description:
Reprint
Pages:
317
Product dimensions:
5.50(w) x 8.50(h) x (d)

Table of Contents

Resolution of the Paradox7
Introduction5
The Problem of Infinity Considered Historically45
The Cinematographic View of Becoming59
Achilles and the Tortoise67
Achilles on a Physical Racecourse82
Tasks and Super-Tasks89
Tasks, Super-Tasks, and the Modern Eleatics103
Comments on Professor Benacerraf's Paper130
Zeno and the Mathematicians139
Modern Science and Refutation of the Paradoxes of Zeno164
Zeno's Metrical Paradox of Extension176
Modern Science and Zeno's Paradoxes of Motion200
AppendixSets and Infinity251
Bibliography269
Index291

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