RAYMOND SMULLYAN

SATAN, CANTOR,
AND INFINITY

AND OTHER MIND BOGGLING PUZZLES

Preface

PART I - LOGICAL SORCERY

  1. The Lie Detective
  2. When I Was a Boy
  3. The Abduction of Annabelle
  4. How Kazir Won His Wife
  5. A Plague of Lies
  6. On the Other Hand
  7. The Island of Partial Silence

PART II - PUZZLES AND METAPUZZLES

  1. Memories of the Sorcerer's Uncle
  2. The Planet Og
  3. Metapuzzles

PART III - SELF-REPRODUCING ROBOTS

  1. The Island of Robots
  2. The Quaint System of Professor Quincy
  3. From the Ridiculous to the Simple

PART IV - G6DELIAN PUZZLES

  1. Self-Reference and Cross-Reference
  2. The Sorcerer's Miniature G6delian Language

PART V - HOW CAN THESE THINGS BE?

  1. Something to Think About!
  2. Of Time and Change

PART VI - A JOURNEY INTO INFINITY

  1. What Is Infinity?
  2. Cantor's Fundamental Discovery
  3. But Some Paradoxes Arise!
  4. Resolutions
  5. The Continuum Problem

PART VII - HYPERGAME, PARADOXES, AND A STORY

  1. Hypergame
  2. Paradoxical?
  3. Satan, Cantor, and Infinity

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