vi Contents
Chapter 8. The Village Barber Who Shaves Himself 27
Chapter 9. Quit While You’re Ahead? 31
Chapter 10. Can a Monkey Create Great Literature? 34
Chapter 11. The Birthday Paradox 37
Chapter 12. Horror Vacui 42
Chapter 13. Sufficient Difficulties with the Logic of
Mathematics Are in Fact a Necessity 45
Chapter 14. To Change or Not to Change? The Monty Hall
Problem 48
Chapter 15. In Hilbert’s Hotel There Is Always a Vacancy 58
Chapter 16. That Fascinating Number Pi 61
Chapter 17. How Random Events Become Calculable
Quantities 64
Chapter 18. A One-Million-Dollar Prize: How Are the
Prime Numbers Distributed? 68
Chapter 19. The Five-Dimensional Cake 72
Chapter 20. One Night Stand 76
Chapter 21. Fly Me to the Moon 80
Chapter 22. Using Residues 83
Chapter 23. Top Secret! 86
Chapter 24. Magical Mathematics: Order amidst Chaos 92
Chapter 25. How Does One Approach Genius? 96
Chapter 26. On Semitones and Twelfth Roots 101
Chapter 27. Why Am I Always Standing in the Wrong
Line? 105
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