Definable categorical equivalence

Hudetz, Laurenz (2019) Definable categorical equivalence. Philosophy of Science, 86 (1). pp. 47-75. ISSN 0031-8248

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Abstract

This article proposes to explicate theoretical equivalence by supplementing formal equivalence criteria with preservation conditions concerning interpretation. I argue that both the internal structure of models and choices of morphisms are aspects of formalisms that are relevant when it comes to their interpretation. Hence, a formal criterion suitable for being supplemented with preservation conditions concerning interpretation should take these two aspects into account. The two currently most important criteria—gener-alized definitional equivalence (Morita equivalence) and categorical equivalence—are not optimal in this respect. I put forward a criterion that takes both aspects into account: the criterion of definable categorical equivalence.

Item Type:	Article
Official URL:	https://www.journals.uchicago.edu/toc/phos/current
Additional Information:	© 2018 the Philosophy of Science Association
Divisions:	Philosophy, Logic and Scientific Method
Subjects:	B Philosophy. Psychology. Religion > B Philosophy (General) Q Science > Q Science (General)
Date Deposited:	21 Jun 2018 11:37
Last Modified:	22 Oct 2025 04:27
URI:	http://eprints.lse.ac.uk/id/eprint/88485

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