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Structure and Equivalence

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This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics - in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics.

Author: Dewar Neil
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pages: 74
ISBN: 9781108823760
Cover: Paperback
Edition Number: 1
Release Year: 2022

Introduction
1. Definitions
2. Translation
3. Ramsey sentences
4. Categories of theories
5. Newtonian mechanics
6. Symmetry
7. Galilean spacetime
8. Conclusion
References.

Neil DewarLudwig-Maximilians-Universität Munchen

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