Sleight of Mind - 75 Ingenious Paradoxes in Mathematics, Physics, and Philosophy

This fun, brain-twisting book . . . will make you think as it explores 75+ paradoxes in math, philosophy, physics, and social science (Sean Carroll, New York Times bestselling author of Something Deeply Hidden).

Paradox is a sophisticated kind of magic trick. A magician s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts and how reason can dispel the illusion of contradiction.

The journey begins with a most ingenious paradox from Gilbert and Sullivan s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform supertasks ; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world and much more.

List of contents

1 Infinity 11
2 Zeno's Paradoxes of Motion 45
3 Supertasks 61
4 Probability 75
5 Social Choice 123
6 Game Theory 139
7 Self-Reference 167
8 Induction 243
9 Geometry 275
10 Operations 301
11 Classical Physics (by N. Laurita) 321
12 Special Relativity (by A. Chatwin-Davies) 343
13 Quantum Mechanics (with M. Coughlin, A. Chatwin-Davies)389
14 Invented or Discovered? 423

About the author

Matt Cook, PhD, is an economist, bestselling author, and magician. Among his works are the thriller novel Sabotage and entrepreneurial success book The Startup Star, which he wrote at Stanford University. Trained at the world-famous Magic Castle, he has performed across the globe and enjoys infusing talks and lectures with sleight of hand. He cofounded U.S. Common Sense, the country's premiere government data and transparency organization. For his support of the military, he was honored by President George W. Bush with the Call to Service Award. He is an accomplished pianist and musical composer, has executive produced for film, and earned his doctorate at the University of Pennsylvania.

Summary

This “fun, brain-twisting book . . . will make you think” as it explores 75+ paradoxes in math, philosophy, physics, and social science (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden).

Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction.

The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.

Product details

• Authors: Matt Cook, Cook Matt
• Publisher: The MIT Press
• Languages: English
• Product format: Paperback / Softback
• Released: 30.04.2021
• EAN: 9780262542296
• ISBN: 978-0-262-54229-6
• No. of pages: 368
• Dimensions: 154 mm x 229 mm x 20 mm
• Series: Mit Press
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; MATHEMATICS / General, Mathematics