James Binkoski
Dartmouth College
ABSTRACT I explore the viability of a Galilean relational theory of space-time—a theory that includes a three-place collinearity relation among its stock of basic relations. Two formal results are established. First, I prove the existence of a class of dynamically possible models of Newtonian mechanics in which collinearity is uninstantiated. Second, I prove that the dynamical properties of Newtonian systems fail to supervene on their Galilean relations. On the basis of these two results, I argue that Galilean relational space-time is too weak of a structure to support a relational interpretation of classical mechanics. 1.Introduction 2.Completeness 3.Leibnizian Relationalism 4.Galilean Relationalism 5.Inverse-Cube Force Laws 5.1Warm-up 5.2Model 1: Zero angular momentum 5.3Model 2: Non-zero angular momentum 6.Supervenience 7.Incompleteness 8.Conclusion
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Reprint years 2016, 2017
DOI 10.1093/bjps/axw002
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References found in this work BETA

Geometric Possibility.Gordon Belot - 2011 - Oxford University Press UK.
Newtonian Spacetime Structure in Light of the Equivalence Principle.Eleanor Knox - 2014 - British Journal for the Philosophy of Science 65 (4):863-880.

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Geometry, Fields, and Spacetime.James Binkoski - 2019 - British Journal for the Philosophy of Science 70 (4):1097-1117.

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