Open AccessOn 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.