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Varieties of misrepresentation and homomorphism

Pero, Francesca and Suárez, Mauricio (2016) Varieties of misrepresentation and homomorphism. European Journal for Philosophy of Science, 6 (1). pp. 71-90. ISSN 1879-4912

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Identification Number: 10.1007/s13194-015-0125-x


This paper is a critical response to Andreas Bartels’ (Theoria 55, 7–19, 2006) sophisticated defense of a structural account of scientific representation. We show that, contrary to Bartels’ claim, homomorphism fails to account for the phenomenon of misrepresentation. Bartels claims that homomorphism is adequate in two respects. First, it is conceptually adequate, in the sense that it shows how representation differs from misrepresentation and non-representation. Second, if properly weakened, homomorphism is formally adequate to accommodate misrepresentation. We question both claims. First, we show that homomorphism is not the right condition to distinguish representation from misrepresentation and non-representation: a “representational mechanism” actually does all the work, and it is independent of homomorphism – as of any structural condition. Second, we test the claim of formal adequacy against three typical kinds of inaccurate representation in science which, by reference to a discussion of the notorious billiard ball model, we define as abstraction, pretence, and simulation. We first point out that Bartels equivocates between homomorphism and the stronger condition of epimorphism, and that the weakened form of homomorphism that Bartels puts forward is not a morphism at all. After providing a formal setting for abstraction, pretence and simulation, we show that for each morphism there is at least one form of inaccurate representation which is not accommodated. We conclude that Bartels’ theory – while logically laying down the weakest structural requirements – is nonetheless formally inadequate in its own terms. This should shed serious doubts on the plausibility of any structural account of representation more generally.

Item Type: Article
Official URL:
Additional Information: © 2015 Springer Science+Business Media Dordrecht
Divisions: CPNSS
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Date Deposited: 05 Feb 2016 14:17
Last Modified: 20 Sep 2021 03:00
Projects: FP7-PEOPLE-2012-IEF: project grant 329430, FFI2014-57064-P
Funders: European Commission, Spanish Government, University of Florence, Complutense University of Madrid

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