Goals shape means: a pluralist response to the problem of formal representation in ontic structural realism

Synthese 200 (3):1-21 (2022)
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Abstract

The aim of the paper is to assess the relative merits of two formal representations of structure, namely, set theory and category theory. The purpose is to articulate ontic structural realism. In turn, this will facilitate a discussion on the strengths and weaknesses of both concepts and will lead to a proposal for a pragmatics-based approach to the question of the choice of an appropriate framework. First, we present a case study from contemporary science—a comparison of the formulation of quantum mechanics in the language of Hilbert spaces and abstract C* algebras. It is then shown how the method of structural representation can be determined based on the pragmatics of goal-oriented research, not a dogmatic choice. We investigate a hypothesis stating that the use of the interplay between the powers of abstraction and detail of different representational methods results in adopting a pluralistic, as opposed to standard, unificatory, perspective on the role of structural representation in OSR.

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Agnieszka Proszewska
Jagiellonian University

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Every thing must go: metaphysics naturalized.James Ladyman & Don Ross - 2007 - New York: Oxford University Press. Edited by Don Ross, David Spurrett & John G. Collier.
The Dappled World: A Study of the Boundaries of Science.Nancy Cartwright - 1999 - New York, NY: Cambridge University Press.

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