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Mathematical Fallacies and Paradoxes

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Mathematical Fallacies and Paradoxes Cover

 

Synopses & Reviews

Publisher Comments:

From ancient Greek mathematics to 20th-century quantum theory, paradoxes, fallacies and other intellectual inconsistencies have long puzzled and intrigued the mind of man. This stimulating, thought-provoking compilation collects and analyzes the most interesting paradoxes and fallacies from mathematics, logic, physics and language.

While focusing primarily on mathematical issues of the 20th century (notably Godel's theorem of 1931 and decision problems in general), the work takes a look as well at the mind-bending formulations of such brilliant men as Galileo, Leibniz, Georg Cantor and Lewis Carroll ― and describes them in readily accessible detail. Readers will find themselves engrossed in delightful elucidations of methods for misunderstanding the real world by experiment (Aristotle's Circle paradox), being led astray by algebra (De Morgan's paradox), failing to comprehend real events through logic (the Swedish Civil Defense Exercise paradox), mistaking infinity (Euler's paradox), understanding how chance ceases to work in the real world (the Petersburg paradox) and other puzzling problems. Some high school algebra and geometry is assumed; any other math needed is developed in the text. Entertaining and mind-expanding, this volume will appeal to anyone looking for challenging mental exercises.

Synopsis:

Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.

Synopsis:

Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.

Synopsis:

Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics, and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle's Circle paradox), being led astray by algebra (De Morgan's paradox), and other mind-benders. 1982 edition.

Description:

Includes bibliographical references (p. 211-212) and index.

Table of Contents

Preface

1 Thinking Wrong about Easy Ideas

2 Thinking Wrong about Infinity

3 Using a Wrong Idea to Find Truth

4 Speaking with Forked Tongue

5 Paradoxes That Count

6 The Limits of Thought?

7 Misunderstanding Space and Time

8 Moving against Infinity

Selected Further Reading

Index

Product Details

ISBN:
9780486296647
Author:
Bunch, Bryan H.
Author:
Ascher, Robert
Author:
Bunch, Bryan
Author:
Ascher, Marcia
Publisher:
Dover Publications
Location:
Mineola, N.Y. :
Subject:
General
Subject:
General science
Subject:
Mathematics
Subject:
Logic
Subject:
Mathematical Analysis
Subject:
Logic, symbolic and mathematical
Subject:
General Science
Subject:
Mathematics-Logic and Philosophy
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 4051
Publication Date:
19970731
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
240
Dimensions:
8.5 x 5.38 in 0.55 lb

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Product details 240 pages Dover Publications - English 9780486296647 Reviews:
"Synopsis" by ,
Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
"Synopsis" by ,
Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
"Synopsis" by ,
Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics, and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle's Circle paradox), being led astray by algebra (De Morgan's paradox), and other mind-benders. 1982 edition.

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