Godel's Incompleteness Theorems (Oxford Logic Guides) by Smullyan, Raymond M.
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Item specifics
- Condition
- Book Title
- Godel's Incompleteness Theorems (Oxford Logic Guides)
- ISBN
- 9780195046724
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0195046722
ISBN-13
9780195046724
eBay Product ID (ePID)
72357
Product Key Features
Number of Pages
160 Pages
Language
English
Publication Name
Godel's Incompleteness Theorems
Subject
Logic
Publication Year
1992
Type
Textbook
Subject Area
Mathematics
Series
Oxford Logic Guides
Format
Hardcover
Dimensions
Item Height
0.6 in
Item Weight
15.5 Oz
Item Length
9.6 in
Item Width
6.3 in
Additional Product Features
Intended Audience
College Audience
LCCN
92-016377
Reviews
"A delightful introduction to the Godel incompleteness theorems and related results. . . . reader is treated to a series of careful formulations and proofs of the central results, always with a high degree of generality and insight. The author has superbly combined his unique presentation of the 'big picture' with an appreciation of detail and rigor. Even readers who are already familiar with the incompleteness results will enjoy and benefit from this book."--Mathematical Reviews"Elegant . . . the strategy . . . is highly instructive, as it casts the purpose behind each step of the proof in high relief." --Choice"Combines scholarly contributions with the flavor of his popular works. Smullyan is not only an outstanding authority on this subject, but also a skilled pedagogue, with a special talent for formulating simple riddles, which illuminate this very difficult and profound subject. . . . 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 mathematicallogic and the elucidation of its relation to metamathematics. He continues to be one of the foremost popularizers of the subject." --American Scientist"Smullyan lives up to his aims. The book provides a highly accessible, user-friendly introduction to incompleteness. . . . the treatment is rigorous and contains material that even a professional logician can find informative and interesting. . . . Smullyan never confuses rigor with dullness or obscurity. His writing is clear and lively . . . . I am eagerly awaiting the sequel's appearance." --Leon Harkleroad, Modern Logic, "Elegant . . . the strategy . . . is highly instructive, as it casts the purpose behind each step of the proof in high relief." --Choice, "Combines scholarly contributions with the flavor of his popular works. Smullyan is not only an outstanding authority on this subject, but also a skilled pedagogue, with a special talent for formulating simple riddles, which illuminate this very difficult and profound subject. . . . animportant 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 thesubject." --American Scientist, "Elegant . . . the strategy . . . is highly instructive, as it casts thepurpose behind each step of the proof in high relief." --Choice, "A delightful introduction to the Godel incompleteness theorems and related results. . . . reader is treated to a series of careful formulations and proofs of the central results, always with a high degree of generality and insight. The author has superbly combined his unique presentation ofthe 'big picture' with an appreciation of detail and rigor. Even readers who are already familiar with the incompleteness results will enjoy and benefit from this book." --Mathematical Reviews, "Smullyan lives up to his aims. The book provides a highly accessible, user-friendly introduction to incompleteness. . . . the treatment is rigorous and contains material that even a professional logician can find informative and interesting. . . . Smullyan never confuses rigor with dullnessor obscurity. His writing is clear and lively . . . . I am eagerly awaiting the sequel's appearance." --Leon Harkleroad, Modern Logic
Series Volume Number
19
Table Of Content
1. The General Idea Behind Gdel's Proof2. Tarski's Theorem for Arithmetic3. The Incompleteness of Peano Arithmetic with Exponentation4. Arithmetic Without the Exponential5. Gdel's Proof Based on Consistency6. Rosser Systems7. Shepherdson's Representation Theorems8. Definability and Diagonalization9. The Unprovability of Consistency10. Some General Remarks on Provability and Truth11. Self-Referential Systems
Synopsis
Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guidesthe reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, conciseintroduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists., In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists., Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.
LC Classification Number
QA9.65.S69 1992
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- 0***w (29)- Feedback left by buyer.Past yearVerified purchaseGreat seller, item was as described and shipped fast. Excellent packaging, price, and communication. Item arrived as expected. Highly recommended.Wright & Leahey's Nurses and Families: A Guide to Family Assessment and Interve (#235762760607)
- t***t (243)- Feedback left by buyer.Past 6 monthsVerified purchaseImpressive! Quality ✅ Condition ✅ Value ✅ Appearance ✅ First experience with this vendor and "WOW!" The volume received was as described, expertly packed in addition to quick shipping and delivery 🙂 Will definitely be visiting this vendor again. Thanks!
- a***o (337)- Feedback left by buyer.Past 6 monthsVerified purchaseThe book arrived in the seller's described condition and at the expected time. The packing was good and protected the book during shipping. Thank you for a good quality item, hassle-free transaction, and good value.