Philosophy and model theory (Book, 2018) [WorldCat.org]
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Philosophy and model theory

Author: Tim Button; Sean Walsh; Wilfrid Hodges
Publisher: Oxford : Oxford University Press, 2018. ©2018
Edition/Format:   Print book : English : First editionView all editions and formats
Summary:
"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 uses of 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  Read more...
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Details

Document Type: Book
All Authors / Contributors: Tim Button; Sean Walsh; Wilfrid Hodges
ISBN: 0198790406 9780198790402 9780198790396 0198790392
OCLC Number: 1004758789
Description: xvi, 517 pages : illustrations ; 24 cm
Contents: A. Reference and realism. Logics and languages --
Permutations and referential indeterminacy --
Ramsey sentences and Newman's objection --
Compactness, infinitesimals, and the reals --
Sameness of structure and theory --
B. Categoricity. Modelism and mathematical doxology --
Categoricity and the natural numbers --
Categoricity and the sets --
Transcendental arguments against model-theoretical scepticism --
Internal categoricity and the natural numbers --
Internal categoricity and the sets --
Internal categoricity and truth --
Boolean-valued structures --
C. Indiscernibility and classification. Types and Stone spaces --
Indiscernibility --
Quantifiers --
Classification and uncountable categoricity --
D. Historical appendix. Wilfrid Hodges.
Responsibility: Tim Button and Sean Walsh ; with a historical appendix by Wilfrid Hodges.

Abstract:

Model theory is an important area of mathematical logic which has deep philosophical roots, many philosophical applications, and great philosophical interest in itself. The aim of this book is to  Read more...

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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 Read more...

 
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