Skip to content
Register Sign in Wishlist

The Mathematics of Logic
A Guide to Completeness Theorems and their Applications

  • Date Published: July 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521708777

Paperback

Add to wishlist

Other available formats:
Hardback, 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 asiamktg@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.

    • Lively mathematical examples and some unusual formal systems stimulate the reader from the very beginning
    • Suitable as an introduction to logic for students without any background in formal set theory
    • Supported by companion web-pages containing further material and exercises
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: July 2007
    • format: Paperback
    • isbn: 9780521708777
    • length: 216 pages
    • dimensions: 225 x 153 x 10 mm
    • weight: 0.304kg
    • contains: 4 b/w illus. 141 exercises
    • availability: Available
  • Table of Contents

    Preface
    How to read this book
    1. König's lemma
    2. Posets and maximal elements
    3. Formal systems
    4. Deductions in posets
    5. Boolean algebras
    6. Propositional logic
    7. Valuations
    8. Filters and ideals
    9. First-order logic
    10. Completeness and compactness
    11. Model theory
    12. Nonstandard analysis
    Bibliography
    Index.

  • Resources for

    The Mathematics of Logic

    Richard W. Kaye

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact lecturers@cambridge.org.

  • Author

    Richard W. Kaye, University of Birmingham
    Richard Kaye is a senior lecturer in pure mathematics at the University of Birmingham.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» 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 ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

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.

×
Please fill in the required fields in your feedback submission.
×