Curie’s principle asserts that every symmetry of a cause manifests as a symmetry of the effect. It can be formulated as a tautology that is vacuous until it is instantiated. However, instantiation requires us to know the correct way to map causal terminology onto the terms of a science. Causal metaphysics has failed to provide a unique, correct way to carry out the mapping. Thus, successful or unsuccessful instantiation merely reflects our freedom of choice in the mapping.
I thank my co-symposiasts, Elena Castellani, Jenann Ismael, and Bryan Roberts, for stimulating discussion.