Recursion Theory for Metamathematics
Raymond M. Smullyan
(Author)
21,000+ Reviews
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Description
This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Product Details
Price
$288.00
Publisher
Oxford University Press
Publish Date
January 28, 1993
Pages
184
Dimensions
6.14 X 9.21 X 0.44 inches | 0.95 pounds
Language
English
Type
Hardcover
EAN/UPC
9780195082326
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Become an affiliateAbout the Author
Raymond M. Smullyan, an internationally known mathematical logician, is the author of several books including Alice in Puzzle Land, This Book Needs No Title, and Five Thousand B.C. and Other Philosophical Fantasies.
Reviews
"A self-contained exposition, it presumes neither a reading of the previous volume . . . nor a prior knowledge of recursion theory. The reader with some familiarity with both recursion theory and logic should find this an excellent source for the interconnections between them." --Choice"Smullyan is not only an outstanding authority on this subject, but is also a skilled pedagogue, with a special talent for formulating simple riddles, which illuminate this very difficult and profound subject. Smullyan has made an important contribution toward the wider understanding of the work of Godel and his followers. . . . Smullyan plays a significant role in the further development of mathematical logic and the elucidation of its relation to metamathematics. He continues to be one of the foremost popularizers of the subject." --American Scientist". . . an interesting presentation of recursion theory from the point of view of its applications in metamathematics, indicating many interrelations between various notions and properties. It will certainly be studied carefully and referred to by students and specialists alike." --Roman Murawski, Mathematical Reviews