Which Alice?

Introduction
Raymond Smullyan is a unique set of personalities that
includes a philosopher, logician, mathematician, musician, magician,
humorist, writer, and maker of marvelous puzzles. Because he
is a skillful writer and humorist, he enjoys presenting his puzzles in
narrative forms that often parody great works of popular fiction.
And he does this so well that his puzzle books are, incredibly, a
pleasure to read even if you never try to solve a single puzzle!
Ray's first puzzle book (I call him Ray because we are old friends)
was titled What Is the Name of This Book? It introduced his knights
(who speak only truth), his knaves (who always lie), and such
characters as Inspector Craig, Bellini and Cellini, Count Dracula,
and Lewis Carroll's Alice and the creatures of Wonderland. Of
course readers who actually worked on the puzzles of this book,
whatever its name, found the book doubly rewarding, and at the
end they were given a remarkable bonus—an insight into Kurt
Gödel's famous proof, the greatest of modern mathematical discoveries.
Ray's first collection of original chess problems, The Chess Mysteries
of Sherlock Holmes, surrounds each problem with a pastiche about
Holmes and Watson. So faithful are these tales to the spirit of the
canon that Sherlockians who never play a game of chess can enjoy
them for the dialogue alone. A second collection of chess problems,
The Chess Mysteries of the Arabian Knights, embed the problems in
parodies of the tales of Scheherazade.
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