Structure and Equivalence

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.

List of contents

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

Summary

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.

Foreword

A study of the ways in which representations in physics can express the same content, despite apparent mathematical differences.

Product details

• Authors: Neil Dewar, Neil (Ludwig-Maximilians-Universitat Munche Dewar
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.01.2022
• EAN: 9781108823760
• ISBN: 978-1-108-82376-0
• No. of pages: 75
• Series: Elements in the Philosophy of Physics
• Subjects: Humanities, art, music > Philosophy; Non-fiction book > Philosophy, religion > Philosophy: general, reference works; PHILOSOPHY / General, Philosophy