King Arthur in Search of His Dog and Other Curious Puzzles

164 Pages·2010·19.24 MB·English

by  Raymond M. Smullyan

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DOVER BOOKS ON MATHEMATICS
HANDBOOK OF MATFIEMATICAL FUNCTIONS: WITH FORMULAS, GRAPHS, AND MATHEMATICAL
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ABSTRACT AND CONCRETE CATEGORIES: THE JOY OF CATS, Jiri Adamek, Horst Herrlich,
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NONSTANDARD METHODS IN STOCHASTIC ANALYSIS AND MATHEMATICAL PHYSICS, Sergio Albeverio,
Jens Erik Eenstad, Raphael Hoegh-Krohn and Tom Lindstrpm. (0-486-46899-2)
MATHEMATICS: ITS CONTENT, METHODS AND MEANING, A. D. Aleksandrov, A. N. Kolmogo-
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COLLEGE GEOMETRY: AN INTRODUCTION TO THE MODERN GEOMETRY OF THE TRIANGLE AND THE
CIRCLE, Nathan Altshiller-Court. (0-486-45805-9)
Archimedes. Translated by Sir Thomas Heath. (0-486-42084-1)
THE WORKS OF ARCHIMEDES,
REAL VARIABLES WITH BASIC METRIC SPACE TOPOLOGY, Robert B. Ash. (0-486-47220-5)
INTRODUCTION TO DIFFERENTIABLE MANIFOLDS, Louis Auslander and Robert E MacKenzie
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PROBLEM SOLVING THROUGH RECREATIONAL MATHEMATICS, Bonnie Averbach and Orin
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THEORY OF LINEAR OPERATIONS, Stefan Banach. Translated by F. Jellett. (0-486-46983-2)
Peter Baxandall and Hans Liebeck. (0-486-46620-5)
VECTOR CALCULUS,
INTRODUCTION TO VECTORS AND TENSORS: SECOND EDITION—TWO VOLUMES BOUND AS ONE,
Ray M. Bowen and C.-C. Wang. (0-486-46914-X)
ADVANCED TRIGONOMETRY, C. V. Durell and A. Robson. (0-486-43229-7)
FOURIER ANALYSIS IN SEVERAL COMPLEX VARIABLES, Leon Ehrenpreis. (0-486-44975-0)
THE THIRTEEN BOOKS OF THE ELEMENTS, VOL. 1, Euclid. Edited by Thomas L Heath
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THE THIRTEEN BOOKS OF THE ELEMENTS, VOL. 2, Euclid. (0-486-60089-0)
THE THIRTEEN BOOKS OF THE ELEMENTS, VOL. 3, Euclid. Edited by Thomas L Heath
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AN INTRODUCTION TO DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS, Stanley J Farlow
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PARTIAL DIFFERENTIAL EQUATIONS FOR SCIENTISTS AND ENGINEERS, Stanley J Farlow
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STOCHASTIC DIFFERENTIAL EQUATIONS AND APPLICATIONS, Avner Friedman. (0-486-45359-6)
ADVANCED CALCULUS, Avner Friedman. (0-486-45795-8)
POINT SET TOPOLOGY, Steven A. Gaal. (0-486-47222-1)
DISCOVERING MATHEMATICS: THE ART OF INVESTIGATION, A. Gardiner. (0-486-45299-9)
LATTICE THEORY: FIRST CONCEPTS AND DISTRIBUTIVE LATTICES, George Gratzer. (0-486-47173-X)
ORDINARY DIFFERENTIAL EQUATIONS, Jack K. Hale. (0-486-47211-6)
METHODS OF APPLIED MATHEMATICS, Francis B. Hildebrand. (0-486-67002-3)
BASIC ALGEBRA I: SECOND EDITION, Nathan Jacobson. (0-486-47189-6)
(continued on back flap)
King Arthur in
Search of His Dog
and Other Curious Puzzles
Raymond M. Smullyan
DOVER PUBLICATIONS, INC.
Mineola, New York
Copyright
Copyiight © 2010 by Raymond M. Smullyan
All rights resei*ved.
Bibliographical Note
King Arthur in Search of His Dog and Other Curious Puzzles is a new work, first
published hy Dover Publications, Inc., in 2010.
International Standard Book Number
ISBN-13: 978-0-487-47435-9
ISBN-10: 0-486-47435-6
Manufactured in the United States by Courier Coiporation
47435601
www.doveipublications.coin
Contents
Guide to the Reader
BOOK I • Do THESE DOGS PUZZLE YOU?
Chapter I How It All Started 3
Chapter II What Has Four Legs and Barks? 20
Chapter III Peekaboo Puzzles 29
Chapter IV Shaggy Dogs 46
BOOK H • WHO STOLE IT?
Chapter V Who Stole What From Whom? 63
Chapter VI These Strange Hunters and Fishermen 71
BOOK III • KING ARTHUR AND HIS DOGS
Chapter VII We Get Started Again 95
Chapter VIII King Arthur and His Hunting Expedition 99
Chapter IX King Arthur and His Dogs of the
Round Table 104
BOOK IV • THE GRAND SEARCH
Chapter X Merlin’s Plan 117
Chapter XI Two Unexpeeted Obstaeles 121
iv CONTENTS
Chapter XII The Seareh Gets Underway 126
Chapter XIII The Diffieulties Double 133
Chapter XIV The Grand Trial 139
Chapter XV But Where Is the Dog? 142
Epilogue 147
About the Author I5I
Guide to the Reader
This volume is indeed for readers of all ages who enjoy puz-
zles. It is divided into four books, the first of which is mainly
for the younger readers and consists primarily of arithmetical
puzzles. Some of them are pretty difficult, but if you cannot
solve them, you will learn much from reading the solutions,
which will show you how you can solve similar problems. Book
II is for the young and old alike and consists of logical prob-
lems of crime detection. Book III consists of both logical and
arithmetical puzzles and should also appeal to young and old
alike. Book IV is really my favorite part of this volume, and I
believe it will be yours, too! It consists entirely of clever logic
puzzles—those that arose in the course of King Arthur s amaz-
ing search for his missing dog—and is for all readers.
The four books are independent units and can be read in
any order. Those who, like me, favor logic puzzles will find
them aplenty in Books II and IV (and also in Chapter VII of
Book III).
Happy reading!
Raymond M. Smullyan
Digitized by the Internet Archive
in 2017 with funding from
Kahle/Austin Foundation
https://archive.org/details/kingarthurinsearOOsmul
BOOK \
DO THESE DOGS
?U2ZIE YOU?