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1. Satan, Cantor and Infinity: Mind-Boggling Puzzles (Dover Books on Mathematical & Word Recreations) by Raymond M. Smullyan | |
Paperback: 288
Pages
(2009-03-26)
list price: US$12.95 -- used & new: US$7.84 (price subject to change: see help) Asin: 0486470369 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Honorable knights, lying knaves, and other fanciful characters populate this unusual survey of the principles underlying the works of Georg Cantor. Created by a renowned mathematician, these engaging puzzles apply logical precepts to issues of infinity, probability, time, and change. They require a strong mathematics background and feature complete solutions. Customer Reviews (1)
A classic reprinted |
2. Satan, Cantor and Infinity and Other Mind-boggling Puzzles by Raymond M. Smullyan | |
Paperback: 278
Pages
(1993-02-18)
Isbn: 0192861611 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
To tell the truth... This can be done by means of equations, symbolic expressions and linguistic tools, but this can be rather dry.A much more enjoyable means of learning to apply logical principles is through the kinds of puzzles presented by Smullyan.It is somewhat ironic -- story problems are the point of greatest dread among many mathematics students, yet the logic-equivalent of story problems are the most fun! Smullyan has written several books on logic puzzles, and often starts with the device of puzzles with figuring out who is telling the truth and who is lying -- here it starts on the island of Knights and Knaves, where Knights always tell the truth, and Knaves always tell lies.However, apart from this distinction, it is impossible to tell them apart.Smullyan presents the problems, and then presents the solutions, not in the back of the book or in a footnote, but as part of the narrative.It is a very natural and logical progression. In this logic-puzzle-story, Smullyan introduces the Sorcerer, not really a magician, but someone so skilled in logical thought that he is considered a magical figure.He leads the path across the novel, including what Smullyan describes as a 'guided tour of infinity' -- it is here that Cantor (from the title, the mathematician George Cantor) is brought up.If you think all infinities are equal, guess again.If you think all mathematical infinities add up to the same, or have the same properties, you'd be wrong.But how can this be proved? Smullyan ends the book with a story of one of Cantor's students outsmarting Satan, relying on language and set theory to confuse the naming of a set in a clever bargain. The book is a wonderful romp through logic, set theory, and rational thinking.It is not a simple book -- there are a number of places where equations and symbol logic methods are used; having at least a basic knowledge of algebra and elementary logic will make this book much more fun and accessible.However, many of the puzzles rely on common sense kinds of logic. It is quite fun.Don't be a knave; read this book.
Perhaps Smullyan's best
Satan, Cantor, and Infinity - a novel about set theory
The best logic puzzles you will find
Extremely interesting if you love logic puzzles |
3. Set Theory and the Sizes of Infinity: An entry from Gale's <i>Science and Its Times</i> by Sherri Chasin Calvo | |
Digital: 2
Pages
(2000)
list price: US$4.90 -- used & new: US$4.90 (price subject to change: see help) Asin: B0027UWT00 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
4. Infinity: Countable set, Cantor's diagonal argument, Surreal number, Continuum hypothesis, Hyperreal number, Extended real number line | |
Paperback: 190
Pages
(2010-10-18)
list price: US$27.92 -- used & new: US$27.92 (price subject to change: see help) Asin: 1157249906 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
5. Transfinite number: Transfinite Number, Cardinal Number, Ordinal Number, Finite Set, Absolute Infinite, Georg Cantor, Infinity, Cardinality | |
Paperback: 92
Pages
(2010-02-03)
list price: US$47.00 Isbn: 6130353987 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
6. Satan, Cantor & Infinity by Raymond M. Smullyan | |
Hardcover:
Pages
(1994-06-12)
list price: US$4.99 Isbn: 0517118009 Canada | United Kingdom | Germany | France | Japan | |
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