On Internal Structure, Categorical Structure, and Representation

On Internal Structure, Categorical Structure, and Representation

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) h...

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Veröffentlicht in:Philosophy of science 2023-01, Vol.90 (1), p.188-195
1. Verfasser: Dewar, Neil
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0031-8248
1539-767X
DOI:10.1017/psa.2022.10