Model Theory and the Philosophy of Mathematical Practice: Formalization without Foundationalism
Author:   John T. Baldwin (University of Illinois, Chicago)
Publisher:   Cambridge University Press
ISBN:  

9781316638835


Pages:   364
Publication Date:   09 January 2020
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Model Theory and the Philosophy of Mathematical Practice: Formalization without Foundationalism


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Author:   John T. Baldwin (University of Illinois, Chicago)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 16.90cm , Height: 1.70cm , Length: 24.30cm
Weight:   0.600kg
ISBN:  

9781316638835


ISBN 10:   1316638839
Pages:   364
Publication Date:   09 January 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

'The book under review has a lot to offer at many levels. First of all, it may serve as a guide to recent advances in pure and applied model theory. Such a guide may be useful not only to novices, but also to old hands. Secondly, Baldwin summarizes several trends in contemporary philosophy of mathematics, and his insights should be of interest to philosophers as well as to mathematicians.' Roman Kossak, The Mathematical Intelligencer


Author Information

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).

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