Quantum Mechanics as Structuralist Chimera

I argue that properties and relations are in the same boat with respect to quantum mechanics. That just as properties cannot be considered as ``hidden variables" so also neither can the relation of being correlated with. Nevertheless properties and relations can both be understood as incomplete expressions: they are both contextual, properly understood. The argument on this leverages a neglected proof by Adán Cabello. We show that this latter argument extends and strengthens an argument given by van Fraassen in his (2006). The argument given also considerably strengthens the arguments given previously by Cao (2003) and Psillos (2006). I end by sketching a way of understanding that this contextuality is similar across relativity theory and quantum theory

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The authors declare no conflict of interest.

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The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

This work did not receive any external funding.