Skip to content

Due to scheduled maintenance, online ordering, in regions where offered, will not be available on this site from 08:00 until noon GMT on Sunday 17th February. We apologise for the inconvenience.

Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Model Theory and the Philosophy of Mathematical Practice

Model Theory and the Philosophy of Mathematical Practice
Formalization without Foundationalism

$120.00 (C)

  • Date Published: February 2018
  • availability: In stock
  • format: Hardback
  • isbn: 9781107189218

$ 120.00 (C)
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics.

    • Explains the philosophical significance of the transformation in model theory and its impact on traditional mathematics
    • The technical logic is grounded in historical and philosophical contexts, making the subject accessible to philosophers as well as mathematicians
    • Includes source materials from model theorists discussing their methods and motivations
    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: February 2018
    • format: Hardback
    • isbn: 9781107189218
    • length: 362 pages
    • dimensions: 254 x 178 x 23 mm
    • weight: 0.78kg
    • contains: 8 b/w illus.
    • availability: In stock
  • Table of Contents

    Part I. Refining the Notion of Categoricity:
    1. Formalization
    2. The context of formalization
    3. Categoricity
    Part II. The Paradigm Shift:
    4. What was model theory about?
    5. What is contemporary model theory about?
    6. Isolating tame mathematics
    7. Infinitary logic
    8. Model theory and set theory
    Part III. Geometry:
    9. Axiomatization of geometry
    10. π, area, and circumference of circles
    11. Complete: the word for all seasons
    Part IV. Methodology:
    12. Formalization and purity in geometry
    13. On the nature of definition: model theory
    14. Formalism-freeness
    15. Summation.

  • Author

    John T. Baldwin, University of Illinois, Chicago
    John T. Baldwin is Professor Emeritus in the Department of Mathematics, Statistics and Computer Science at the University of Illinois, Chicago. He has published widely on mathematics and philosophy, and he is the author of books including Fundamentals of Stability Theory (1988) and Categoricity (2009).

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

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.
×