The Magic Garden Of George B And Other Logic Puzzles

The Magic Garden Of George B And Other Logic Puzzles

by Raymond M Smullyan

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Overview

Raymond Smullyan presents a bombshell puzzle so startling that it seems incredible that there could be any solution at all! But there is indeed a solution — moreover, one that requires a chain of lesser puzzles to be solved first. The reader is thus taken on a journey through a maze of subsidiary problems that has all the earmarks of an entertaining detective story.This book leads the unwary reader into deep logical waters through seductively entertaining logic puzzles. One example is Boolean algebra with such weird looking equations as 1+1=0 — a subject which today plays a vital role, not only in mathematical systems, but also in computer science and artificial intelligence.

Product Details

ISBN-13: 9789814678551
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 05/29/2015
Pages: 180
Sales rank: 896,631
Product dimensions: 6.40(w) x 9.70(h) x 0.60(d)

Table of Contents

Foreword v

Preface vii

Book I It's All a Question of Logic! 1

Chapter 1 Puzzles or Monkey Tricks? 3

Chapter 2 Which Lady? 13

Chapter 3 Which Witch? 17

Chapter 4 Which Island? 21

Chapter 5 McGregor's Arithmetic Tricks 25

Chapter 6 Ask Eldon White 29

Chapter 7 Al, the Chemist 33

Chapter 8 Sane or Mad? 35

Chapter 9 The Strange Case of McSnurd 39

Chapter 10 The Knight-Knave Disease 45

Chapter 11 Human or Android? 49

Chapter 12 Variable Lying and Paradox 53

Book II The Magic Garden 59

Chapter 13 George's Garden 61

Chapter 14 Some Neighboring Gardens 69

Chapter 15 The Grand Problem Solved! 75

Chapter 16 Boolean Gardens and Variable Liars 85

Chapter 17 Propositional Logic and Boolean Gardens 97

Chapter 18 The Boolean Theory of Sets 117

Chapter 19 Boolean Algebras in General 129

Chapter 20 Boolean Gardens Revisited 141

Chapter 21 Another Grand Problem 147

Chapter 22 George Boole and Mathematical Logic 165

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