, Volume 79, Issue 4, pp 943–968 | Cite as

A Representational Approach to Reduction in Dynamical Systems

  • Marco GiuntiEmail author
Original Article


According to the received view, reduction is a deductive relation between two formal theories. In this paper, I develop an alternative approach, according to which reduction is a representational relation between models, rather than a deductive relation between theories; more specifically, I maintain that this representational relation is the one of emulation. To support this thesis, I focus attention on mathematical dynamical systems and I argue that, as far as these systems are concerned, the emulation relation is sufficient for reduction. I then extend this representational model-based view of reduction to the case of empirically interpreted dynamical systems, as well as to a treatment of partial, approximate, and asymptotic reduction.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Applied Logic, Language, Philosophy and History of Science (ALOPHIS)University of CagliariCagliariItaly

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