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Recursion Theory for Metamathematic
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eBay item number:364027194767
Item specifics
- Condition
- Book Title
- Recursion Theory for Metamathematics
- Publication Date
- 1993-01-28
- Pages
- 184
- ISBN
- 019508232X
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
Item description from the seller
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- r***g (243)- Feedback left by buyer.Past monthVerified purchaseBook was "nearly new" and "as described" in listing. The advertised price was fair and a good value. Unfortunately, the seller's shipping partner was very slow to get the book packaged and shipped. Shipping took too long, and the tracking info gave no reliable info on shipping date, time in transit or expected delivery. Seller did everything right, but their shipping partner needs improvement. I recommend this seller to other eBay buyers....... just make sure you're okay with the shipping terms.
- e***u (283)- Feedback left by buyer.Past monthVerified purchaseThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (#405155037686)
Seller feedback (552,230)
- r***g (243)- Feedback left by buyer.Past monthVerified purchaseBook was "nearly new" and "as described" in listing. The advertised price was fair and a good value. Unfortunately, the seller's shipping partner was very slow to get the book packaged and shipped. Shipping took too long, and the tracking info gave no reliable info on shipping date, time in transit or expected delivery. Seller did everything right, but their shipping partner needs improvement. I recommend this seller to other eBay buyers....... just make sure you're okay with the shipping terms.
- e***u (283)- Feedback left by buyer.Past monthVerified purchaseThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (#405155037686)