Structure and Equivalence

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

Neil Dewar (Author)

9781108823760, Cambridge University Press

Paperback / softback, published 17 March 2022

75 pages
22.8 x 15.1 x 0.5 cm, 0.134 kg

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.

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

Subject Areas: Physics [PH], Philosophy of science [PDA], Philosophy: metaphysics & ontology [HPJ], Philosophy [HP], Philosophy of language [CFA]