On Internal Structure, Categorical Structure, and Representation

Philosophy of Science 90 (1):188-195 (2023)
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Abstract

If categorical equivalence is a good criterion of theoretical equivalence, then it would seem that if some class of mathematical structures is represented as a category, then any other class of structures categorically equivalent to it will have the same representational capacities. Hudetz (2019a) has presented an apparent counterexample to this claim; in this note, I argue that the counterexample fails.

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Neil Dewar
Cambridge University

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