Category-Theoretic Structure and Radical Ontic Structural Realism

Synthese 190 (9):1621-1635 (2013)
Abstract
Radical Ontic Structural Realism (ROSR) claims that structure exists independently of objects that may instantiate it. Critics of ROSR contend that this claim is conceptually incoherent, insofar as, (i) it entails there can be relations without relata, and (ii) there is a conceptual dependence between relations and relata. In this essay I suggest that (ii) is motivated by a set-theoretic formulation of structure, and that adopting a category-theoretic formulation may provide ROSR with more support. In particular, I consider how a category-theoretic formulation of structure can be developed that denies (ii), and can be made to do work in the context of formulating theories in physics. Keywords: structural realism, category theory, general relativity..
Keywords Structural realism  Category theory  General relativity
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DOI 10.1007/s11229-011-9896-6
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References found in this work BETA
Category Theory.Steve Awodey - 2010 - Oxford University Press.

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Citations of this work BETA
No Categorial Support for Radical Ontic Structural Realism.Vincent Lam & Christian Wüthrich - 2014 - British Journal for the Philosophy of Science 66 (3):605-634.
Categorical Generalization and Physical Structuralism.R. Lal & N. Teh - 2015 - British Journal for the Philosophy of Science:axv002.
Ontic Structural Realism and the Interpretation of Quantum Mechanics.Michael Esfeld - 2013 - European Journal for Philosophy of Science 3 (1):19-32.
The Structure of Causal Sets.Christian Wüthrich - 2012 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):223-241.
Entities Without Intrinsic Physical Identity.Vincent Lam - 2014 - Erkenntnis 79 (5):1157-1171.

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