Metamathematics of First-Order Arithmetic
Part of Perspectives in Logic
- Authors:
- Petr Hájek, Academy of Sciences of the Czech Republic, Prague
- Pavel Pudlák, Academy of Sciences of the Czech Republic, Prague
- Date Published: March 2017
- availability: Available
- format: Hardback
- isbn: 9781107168411
$
181.99
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact [email protected] providing details of the course you are teaching.
-
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
Read more- Presents a much-needed review of the metamathematics of first-order arithmetic
- Allows readers to better understand the role of the axiom schema of induction and the phenomenon of incompleteness
- Assumes only a basic knowledge of mathematical logic
Reviews & endorsements
'… a very important contribution to the logical literature. It gives a survey of an incredible number of results and methods in the foundations of arithmetic, presented in a clear and systematic way. It will certainly be highly appreciated by specialists working in the field.' Roman Murawski, Mathematical Reviews
See more reviews'… really a highly interesting book - a survey of a large amount of results presented in a systematic and clear way. It will serve as a source of information for those who want to learn metamathematics of first-order arithmetic as well as a reference book for people working in this field.' Zentralblatt fύr Mathematϊk und ihre Grenzgebiete
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: March 2017
- format: Hardback
- isbn: 9781107168411
- length: 474 pages
- dimensions: 240 x 162 x 36 mm
- weight: 0.91kg
- contains: 2 b/w illus.
- availability: Available
Table of Contents
Introduction
Preliminaries
Part I:
1. Arithmetic as number theory, set theory and logic
2. Fragments and combinatorics
Part II:
3. Self-reference
4. Models of fragments of arithmetic
Part III:
5. Bounded arithmetic
Bibliographical remarks and further reading
Bibliography
Index of terms
Index of symbols.
Related Books
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×