On Internal Structure, Categorical Structure, and Representation | Zendy

Neil Dewar | Zendy

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On Internal Structure, Categorical Structure, and Representation

Author(s) -

Neil Dewar

Publication year - 2022

Publication title -

philosophy of science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.04

H-Index - 70

eISSN - 1539-767X

pISSN - 0031-8248

DOI - 10.1017/psa.2022.10

Subject(s) - counterexample , equivalence (formal languages) , categorical variable , mathematics , representation (politics) , class (philosophy) , equivalence class (music) , mathematical economics , logical equivalence , pure mathematics , epistemology , calculus (dental) , discrete mathematics , statistics , philosophy , law , medicine , dentistry , politics , political science

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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