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Mathematical Fallacies and Paradoxes (Dover Books on Mathematics)

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Book Details

  • Publisher: Dover

  • Author: Bryan Bunch

  • Language: English

  • Edition: New

  • ISBN: 9780486296647

  • Pages: 224

  • Cover: Paperback

  • Release Date: 28-03-2003

  • Dimensions: 8.5 x 5.5 x 0.6 inches

About The Book
Paradoxes from A to Z by Bryan Bunch is an engaging and thought-provoking collection of paradoxes, fallacies, and intellectual inconsistencies from mathematics, logic, physics, and language. Focusing primarily on 20th-century mathematical issues, particularly Gödel’s incompleteness theorem and decision problems, the book also delves into the paradoxical formulations of brilliant minds such as Galileo, Leibniz, Georg Cantor, and Lewis Carroll.

This volume analyzes some of the most fascinating paradoxes and fallacies that have long intrigued thinkers, from the ancient Greek era to modern quantum theory. Bunch provides accessible explanations of complex problems, including:

  • Aristotle's Circle Paradox: A paradox concerning the limits of experimentation.

  • De Morgan's Paradox: Issues related to the interpretation of algebraic reasoning.

  • Swedish Civil Defense Exercise Paradox: An exploration of logical inconsistencies in real-world events.

  • Euler's Paradox: A puzzle surrounding the concept of infinity.

  • Petersburg Paradox: A problem that reveals the limitations of probability theory in practical applications.

Designed for readers with a basic understanding of high school algebra and geometry, the book carefully develops the necessary mathematical concepts as it unfolds each paradox. It invites readers into the world of intellectual exploration and challenges their assumptions about logic, mathematics, and the real world.

Paradoxes from A to Z is an entertaining and mind-expanding read, ideal for anyone curious about the strange and fascinating world of paradoxes and logical puzzles. Whether you're a student of mathematics, a lover of intellectual challenges, or simply seeking a delightful mental exercise, this book offers something for everyone.