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Computability and Logic By George S. Boolos, Richard C. Jeffrey
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eBay item number:334046022692
Item specifics
- Condition
- Title
- Computability and Logic
- ISBN
- 9780521389235
- EAN
- 9780521389235
- Subject Area
- Mathematics, Philosophy
- Publication Name
- Computability and Logic
- Item Length
- 9 in
- Publisher
- Cambridge University Press
- Subject
- Logic
- Publication Year
- 1989
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.8 in
- Features
- Revised
- Item Width
- 6 in
- Item Weight
- 15.7 Oz
- Number of Pages
- 320 Pages
About this product
Product Information
A text for a second course in logic for graduate and advanced undergraduate students. This third edition has been corrected and contains thoroughly revised versions of the chapters on Ramsey and provability, with new exercises provided for three other chapters. There are also two new chapters dealing with undecidable sentences and on the non-existence of non-standard recursive models of Z.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521389232
ISBN-13
9780521389235
eBay Product ID (ePID)
172553
Product Key Features
Publication Name
Computability and Logic
Format
Trade Paperback
Language
English
Features
Revised
Subject
Logic
Publication Year
1989
Type
Textbook
Subject Area
Mathematics, Philosophy
Number of Pages
320 Pages
Dimensions
Item Length
9 in
Item Height
0.8 in
Item Width
6 in
Item Weight
15.7 Oz
Additional Product Features
Edition Number
3
LCCN
89-032584
Lc Classification Number
Bc135
Edition Description
Revised Edition
Reviews
'… particularly appropriate for graduate and advanced undergraduate students in philosophy … The book is written in a clear and pleasing style and avoids pedantry … It should be an excellent text for its intended audience.' Mathematical Reviews, 'Intended for a second course in logic it gives excellent coverage of the fundamental theoretical results about logic involving computability, undecidability, axiomatization, definability, incompleteness, etc.' American Math Monthly, ‘Intended for a second course in logic it gives excellent coverage of the fundamental theoretical results about logic involving computability, undecidability, axiomatization, definability, incompleteness, etc.’American Math Monthly, '... particularly appropriate for graduate and advanced undergraduate students in philosophy ... The book is written in a clear and pleasing style and avoids pedantry ... It should be an excellent text for its intended audience.'Mathematical Reviews, '... particularly appropriate for graduate and advanced undergraduate students in philosophy ... The book is written in a clear and pleasing style and avoids pedantry ... It should be an excellent text for its intended audience.' Mathematical Reviews, 'Intended for a second course in logic it gives excellent coverage of the fundamental theoretical results about logic involving computability, undecidability, axiomatization, definability, incompleteness, etc.'American Math Monthly, ‘… particularly appropriate for graduate and advanced undergraduate students in philosophy … The book is written in a clear and pleasing style and avoids pedantry … It should be an excellent text for its intended audience.’Mathematical Reviews
Table of Content
Preface; Preface to the third edition; 1. Enumerability; 2. Diagonalization; 3. Turing machines; 4. Uncomputability via the busy beaver problem; 5. Uncomputability via diagonalization; 6. Abacus computable functions are Turing computable; 7. Recursive functions are abacus computable; 8. Turing computable functions are recursive; 9. First-order logic revisited; 10. First-order logic is undecidable; 11. First-order logic formalized: derivations and soundness; 12. Completeness of the formalization: compactness; 13. The Skolem-Löwenheim theorem; 14. Representability in Q; 15. Undecidability, indefinability and incompleteness; 16. Provability predicates and the unprovability of consistency; 17. Non-standard models of arithmetic; 18. Second-order logic; 19. On defining arithmetical truth; 20. Definability arithmetic and forcing; 21. The decidability of arithmetic with addition, but not multiplication; 22. Dynadic logic is undecidable: 'eliminating' names and function symbols; 23. The Craig interpolation lemma; 24. Two applications of Craig's lemma; 25. Monadic versus dyadic logic; 26. Ramsey's theorem; 27. Provability considered modal-logically; 28. Undecidable sentences; 29. Non-standard models of Z are not recursive; Index.
Copyright Date
1989
Target Audience
College Audience
Dewey Decimal
511.3/52
Dewey Edition
22
Illustrated
Yes
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eBay item number:334046022692
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