Philosophy and Model Theory

Author:   Tim Button (Senior Lecturer and Fellow, Senior Lecturer and Fellow, St John's College, Cambridge) ,  Sean Walsh (Associate Professor, Department of Philosophy, Associate Professor, Department of Philosophy, University of California, Los Angeles)
Publisher:   Oxford University Press
ISBN:  

9780198790402


Pages:   534
Publication Date:   15 March 2018
Format:   Paperback
Availability:   To order   Availability explained
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Philosophy and Model Theory


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Author:   Tim Button (Senior Lecturer and Fellow, Senior Lecturer and Fellow, St John's College, Cambridge) ,  Sean Walsh (Associate Professor, Department of Philosophy, Associate Professor, Department of Philosophy, University of California, Los Angeles)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   0.796kg
ISBN:  

9780198790402


ISBN 10:   0198790406
Pages:   534
Publication Date:   15 March 2018
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

A: Reference and realism 1: Logics and languages 2: Permutations and referential indeterminacy 3: Ramsey sentences and Newman's objection 4: Compactness, infinitesimals, and the reals 5: Sameness of structure and theory B: Categoricity 6: Modelism and mathematical doxology 7: Categoricity and the natural numbers 8: Categoricity and the sets 9: Transcendental arguments 10: Internal categoricity and the natural numbers 11: Internal categoricity and the sets 12: Internal categoricity and truth 13: Boolean-valued structures C: Indiscernibility and classification 14: Types and Stone spaces 15: Indiscernibility 16: Quantifiers 17: Classification and uncountable categoricity D: Historical appendix Wilfrid Hodges: A short history of model theory

Reviews

The book provides a masterly overview of many central stakes in philosophy of mathematics where model theory is involved, either as a source or as a tool. Anyone interested in mathematical structures, in categoricity, or in internalization of semantics, especially in the cases of arithmetic and set theory, will find everything she is looking for, and more. * Brice Halimi, Universite de Paris, Philosophia Mathematica *


Author Information

Tim Button is a Senior Lecturer, and a Fellow of St John's College, at the University of Cambridge. His first book, The Limits of Realism (OUP 2013) explores the relationship between words and world; between semantics and scepticism. His main research interests lie in meta(meta)physics, logic, mathematics, and language. In 2014 he received a Philip Leverhulme Prize. Sean Walsh did his graduate work in philosophy and mathematics at the University of Notre Dame, where he received a PhD in Logic and the Foundations of Mathematics. He is an Associate Professor in the Department of Philosophy at the University of California, Los Angeles.

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