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Philosophy and Model Theory$
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Tim Button and Sean Walsh

Print publication date: 2018

Print ISBN-13: 9780198790396

Published to Oxford Scholarship Online: May 2018

DOI: 10.1093/oso/9780198790396.001.0001

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Wilfrid Hodges A short history of model theory

Wilfrid Hodges A short history of model theory

(p.439) 18 Wilfrid Hodges A short history of model theory
Philosophy and Model Theory

Tim Button

Sean Walsh

Oxford University Press

We give a historical account of mathematical model theory, from its origins to the early twenty-first century. We record how early work in model theory grew from attempts to formalise and systematise some largely informal ideas in mathematical heuristics. We also note how the growth of model theory, particularly in recent years, has been driven by the discovery of interactions with many other areas of mathematics, such as set theory, combinatorics, algebra, geometry and number theory.

Keywords:   Abraham Robinson, categoricity, definability, elementary embedding, logic, model, satisfaction, Tarski

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