- Taschenbuch: 317 Seiten
- Verlag: Hackett Publishing Co, Inc; Auflage: Reprint (März 2001)
- Sprache: Englisch
- ISBN-10: 0872205606
- ISBN-13: 978-0872205604
- Größe und/oder Gewicht: 21,2 x 13,8 x 2 cm
- Amazon Bestseller-Rang: Nr. 131.149 in Englische Bücher (Siehe Top 100 in Englische Bücher)
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Produktbeschreibungen
Kurzbeschreibung
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.
Synopsis
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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20 von 20 Kunden fanden die folgende Rezension hilfreich
Good Survey of Modern Reaction
9. Mai 2004
Format:Taschenbuch|Von Amazon bestätigter Kauf
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.
Of historical interest only.
7. März 2012
Format:Taschenbuch
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 von 4 Kunden fanden die folgende Rezension hilfreich
Great Investigation of the Notion of Infinity
21. März 2006
Format:Taschenbuch
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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