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Viser: Mathematical Fallacies and Paradoxes

Mathematical Fallacies and Paradoxes
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Mathematical Fallacies and Paradoxes Vital Source e-bog

Bryan Bunch
(2012)
Dover Publications
125,00 kr.
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Mathematical Fallacies and Paradoxes

Mathematical Fallacies and Paradoxes

Marcia Ascher, Robert Ascher og Bryan Bunch
(2003)
Sprog: Engelsk
Dover Publications, Incorporated
114,00 kr.
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Detaljer om varen

  • Vital Source searchable e-book (Reflowable pages): 224 sider
  • Udgiver: Dover Publications (Oktober 2012)
  • ISBN: 9780486137933
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.
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Detaljer om varen

  • Paperback: 240 sider
  • Udgiver: Dover Publications, Incorporated (Marts 2003)
  • Forfattere: Marcia Ascher, Robert Ascher og Bryan Bunch
  • ISBN: 9780486296647

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.

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
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