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Synopsis
The main purpose of this book is to present a unified treatment of fixed points as they occur in Gödel's incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics. The book provides a survey of introductory material and a summary of recent research. The first chapters are of an introductory nature and consist mainly of exercises with solutions given to most of them.
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Review
"The book is devoted to a rather difficult topic; its style, however, makes most of its parts digestible, sometimes even enjoyable." -- Mathematical Reviews
"Smullyan goes right to the essence of Godel's argument and its subsequent extensions. He thereby achieves a simplicity that will reach out to the general reader even as it will delight the expert." --Choice
"Exhibit[s] the hallmarks of Smullyan's style. . .Accessible to beginners, yet present[s] material of interest to specialists."--Modern Logic
"A highly original approach."--Journal of Symbolic Logic
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Diagonalization and Self-Reference (Oxford Logic Guides)
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Diagonalization and Self-Reference (eng)
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Diagonalization and Self-Reference (Oxford Logic Guides)
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Oxford Univ Pr on Demand, 1994
ISBN 10: 0198534507
ISBN 13: 9780198534501
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