By Raymond M. Smullyan
A number of puzzles facing observe play and common sense, arithmetic and philosophy, that includes Alice and the creatures of Wonderland.
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Extra resources for Alice in Puzzle-Land. A Carrollian tale for children under eighty
So one tart is one-twelfth the number of tarts. " interrupted Alice excitedly "That means the Hatter originally had nine—which is three- 36 The Gryphon and the Mock Turtle quarters of twelve—and the March Hare had three—and nine is three times as much as three! Then the Hatter gave one to the March Hare, which left eight for the Hatter, and the March Hare had four, so the Hatter then had twice as many as the March Hare. " asked the Gryphon. " remembered Alice. "Well, at this stage the Hatter has eight and the March Hare has four.
22 Who Is Mad? THE COOK AND THE CAT "Then there's my cook and the Cheshire Cat," continued the Duchess. " What can you deduce about the Cook and the Cat? THE FISH - FOOTMAN AND THE FROG - FOOTMAN "That was very interesting," said Alice. " "Of course they are, my dear! " Alice tried to figure out just what the Duchess had meant, when the Duchess interrupted her thoughts. "Then there are my two footmen, the Fish-Footman and the Frog-Footman. " said Alice, remembering the latter's unspeakable rudeness.
Oh yes," interrupted Alice, "a very funny watch that tells the day of the month instead of the hour of the day. " "Not that watch," cried the Gryphon, "he has another watch that tells the hour of the day like ordinary watches do. The Hatter also has his own watch. Neither watch keeps perfect time; the Hatter's watch gains ten seconds every hour and the March Hare's watch loses ten seconds every hour. "One day in January they put both watches right at exactly twelve o'clock noon. ' "'Quite right,' replied the March Hare.