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Math just for fun; The Lady or the Tiger?, by Raymond Smullyan. New York: Alfred A. Knopf. 226 pp.

The initial chapters of Smullyan's second book on ''recreational'' logic and math problems offer brief logical riddles that are intended as a warm-up for bigger challenges to come.

After that, harder problems are strung together with a continuing plot line and characters.

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The second half of the book is billed as the world's first ''mathematical novel.'' In it an inspector from Scotland Yard must deduce the combination of a very important safe, which leads him (and the reader) deep into real-life mathematical theory: the ''Incompleteness Theorem'' of Kurt Godel.

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