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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: 16.20cm , Height: 3.80cm , Length: 24.10cm
Weight:   0.940kg
ISBN:  

9780198790396

ISBN 10:   0198790392
Pages:   544
Publication Date:   15 March 2018
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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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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