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Philosophy and Model Theory

Tim Button and Sean Walsh

Abstract

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging appeals to model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand ... More

Keywords: philosophy of mathematics, philosophy of logic, model theory, reference, realism, categoricity, indiscernibility, classification

Bibliographic Information

Print publication date: 2018 Print ISBN-13: 9780198790396
Published to Oxford Scholarship Online: May 2018 DOI:10.1093/oso/9780198790396.001.0001

Authors

Affiliations are at time of print publication.

Tim Button, author
Senior Lecturer and Fellow, St John's College, Cambridge

Sean Walsh, author
Associate Professor, Department of Philosophy, University of California, Los Angeles