Algebraic Fields and the Dynamical Approach to Physical Geometry

Philosophy of Science 86 (5):1273-1283 (2019)
  Copy   BIBTEX

Abstract

Brown and Pooley’s ‘dynamical approach’ to physical theories asserts, in opposition to the orthodox position on physical geometry, that facts about physical geometry are grounded in, or explained by, facts about dynamical fields, not the other way round. John Norton has claimed that the proponent of the dynamical approach is illicitly committed to spatiotemporal presumptions in ‘constructing’ space-time from facts about dynamical symmetries. In this article, I present an abstract, algebraic formulation of field theories and demonstrate that the proponent of the dynamical approach is not committed, in special relativity, to the illicit presumptions to which Norton refers.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The Dynamical Approach as Practical Geometry.Syman Stevens - 2015 - Philosophy of Science 82 (5):1152-1162.
Regularity Relationalism and the Constructivist Project.Syman Stevens - 2017 - British Journal for the Philosophy of Science:axx037.
The Dynamical Approach to Spacetime Theories.Harvey R. Brown & James Read - 2022 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge.
Making the Case for Causal Dynamical Triangulations.Joshua H. Cooperman - 2015 - Foundations of Physics 50 (11):1739-1755.
Are There Dynamical Laws?J. Anandan - 1999 - Foundations of Physics 29 (11):1647-1672.
Dynamicists versus computationalists: Whither mechanists?William Bechtel - 1998 - Behavioral and Brain Sciences 21 (5):629-629.
How could relativity be anything other than physical.Wayne C. Myrvold - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:137-143.
Spacetime theory as physical geometry.Robert Disalle - 1995 - Erkenntnis 42 (3):317-337.
Conservation, inertia, and spacetime geometry.James Owen Weatherall - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:144-159.
Physical Geometry.James P. Binkoski - 2016 - Dissertation, University of Massachusetts, Amherst
Pure and applied geometries from a synthetic-axiomatic approach to theories.German Pino - 2005 - Eidos: Revista de Filosofía de la Universidad Del Norte 3:60-82.
Explanation, analyticity and constitutive principles in spacetime theories.Adán Sus - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 65:15-24.

Analytics

Added to PP
2018-08-27

Downloads
54 (#289,243)

6 months
27 (#107,707)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

The dynamical approach to spin-2 gravity.Kian Salimkhani - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:29-45.
An Algebraic Approach to Physical Fields.Lu Chen & Tobias Fritz - 2021 - Studies in History and Philosophy of Science Part A 89 (C):188-201.
Smooth Infinitesimals in the Metaphysical Foundation of Spacetime Theories.Lu Chen - 2022 - Journal of Philosophical Logic 51 (4):857-877.

View all 7 citations / Add more citations

References found in this work

Who's afraid of coordinate systems? An essay on representation of spacetime structure.David Wallace - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:125-136.
Why Constructive Relativity Fails.John D. Norton - 2008 - British Journal for the Philosophy of Science 59 (4):821-834.
Can We Dispense with Space-Time?Hartry Field - 1984 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:33-90.
The Dynamical Approach as Practical Geometry.Syman Stevens - 2015 - Philosophy of Science 82 (5):1152-1162.

Add more references