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Raymond M. Smullyan Recursion Theory for Metamathematic
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eBay item number:365963209219
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Country of Origin
- US
- Book Title
- Recursion Theory for Metamathematics
- ISBN-10
- 019508232X
- EAN
- 9780195082326
- ISBN
- 9780195082326
- Release Date
- 07/15/1993
- Genre
- Science Nature & Math
- Title
- Recursion Theory for Metamathematics
- Release Year
- 1993
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
019508232X
ISBN-13
9780195082326
eBay Product ID (ePID)
24038255960
Product Key Features
Number of Pages
184 Pages
Publication Name
Recursion Theory for Metamathematics
Language
English
Subject
Logic
Publication Year
1993
Type
Textbook
Subject Area
Mathematics
Series
Oxford Logic Guides
Format
Hardcover
Dimensions
Item Height
0.8 in
Item Weight
14.5 Oz
Item Length
9.3 in
Item Width
6.2 in
Additional Product Features
Intended Audience
College Audience
LCCN
92-040495
Dewey Edition
20
Reviews
". . . 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." --RomanMurawski, Mathematical 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, "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, "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, "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, "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, "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 tometamathematics. 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"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 tometamathematics. 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, "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 thework 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
Series Volume Number
22
Illustrated
Yes
Dewey Decimal
511.35
Table Of Content
1. Recursive Enumerability and Recursivity2. Undecidability and Recursive Inseparability3. Indexing4. Generative Sets and Creative Systems5. Double Generativity and Complete Effective Inseparability6. Universal and Doubly Universal Systems7. Shepherdson Revisited8. Recursion Theorems9. Symmetric and Double Recursion Theorems10. Productivity and Double Productivity11. Three Special Topics12. Uniform Godelization
Synopsis
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., This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel'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., In 1931, Princeton mathematician Kurt Gödel startled the scientific world with his Theorem of Undecidability, which showed that some statements in mathematics are inherently 'undecidable'. This volume of the Oxford Logic Guides is a sequel to Smullyan's Gödel's Incompleteness Theorems (Oxford Logic Guides No. 19, 1992), but it can be read independently by anyone familiar with at least one proof of Gödel's incompleteness theorem for Peano Arithmetic. This volume was written for mathematicians, philosphers, and computer scientists who are curious about Gödel's incompleteness theorems. The only prerequisite would be a first course in mathematical logic.
LC Classification Number
QA9.6.S68 1993
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- _***n (168)- Feedback left by buyer.Past 6 monthsVerified purchaseThe "Latin Classics. Volume 2" CD is brand new, as stated in the ad.The disc itself is of good quality. The CD was packaged in a cardboard box, and unfortunately, the jewel case cracked during transportation and delivery, but the seller compensated for this issue by refunding 20% of the order price. The seller always responds to customer messages, which is very nice. The seller is honest and respectable. I am very pleased with the purchase. Thank you very much! I wish the seller all the best!
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- .***3 (108)- Feedback left by buyer.Past monthVerified purchaseAnother great Rarewaves purchase. Once again, the DVD I ordered came well-packaged, secure, and exactly as described. Shipping time was the usual two weeks which is understandable. I do consider the price to be fair all said and done. Overall, another great transaction. Thank you.
Seller feedback (805,217)
- _***n (168)- Feedback left by buyer.Past 6 monthsVerified purchaseThe "Latin Classics. Volume 2" CD is brand new, as stated in the ad.The disc itself is of good quality. The CD was packaged in a cardboard box, and unfortunately, the jewel case cracked during transportation and delivery, but the seller compensated for this issue by refunding 20% of the order price. The seller always responds to customer messages, which is very nice. The seller is honest and respectable. I am very pleased with the purchase. Thank you very much! I wish the seller all the best!
- s***e (4)- Feedback left by buyer.Past 6 monthsVerified purchaseThe item arrived earlier than expected and with easy shipping; It was carefully packaged and arrived in perfect condition. It's a DVD and I have not played it yet but it is brand new and in sealed packaging. It is what I expected and as described. The price included shipping and was very reasonable. Ordering from another country went very smoothly. Lots of shipping communication. No communication with seller was needed. I am very happy with this seller and definitely recommend them.
- .***3 (108)- Feedback left by buyer.Past monthVerified purchaseAnother great Rarewaves purchase. Once again, the DVD I ordered came well-packaged, secure, and exactly as described. Shipping time was the usual two weeks which is understandable. I do consider the price to be fair all said and done. Overall, another great transaction. Thank you.