Shape space in pure shape dynamics is best interpreted as a conceptual space, not a physical arena, requiring only epistemic commitment.
The Physics and Metaphysics of Pure Shape Dynamics
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abstract
The goal of this essay is twofold. First, it provides a quick look at the foundations of modern relational mechanics by tracing its development from Julian Barbour and Bruno Bertotti's original ideas until present-day's pure shape dynamics. Secondly, it discusses the most appropriate metaphysics for pure shape dynamics, showing that relationalism is more of a nuanced thesis rather than an elusive one. The chapter ends with a brief assessment of the prospects of pure shape dynamics in light of quantum physics.
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Shape space as a conceptual space
Shape space in pure shape dynamics is best interpreted as a conceptual space, not a physical arena, requiring only epistemic commitment.