Rosaler, Joshua (2015) Local Reduction in Physics. Studies in History and Philosophy of Modern Physics, 50. pp. 54-69. ISSN 1355-2198
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Abstract
A conventional wisdom about the progress of physics holds that successive theories wholly encompass the domains of their predecessors through a process that is often called “reduction.” While certain influential accounts of inter-theory reduction in physics take reduction to require a single “global” derivation of one theory’s laws from those of another, I show that global reductions are not available in all cases where the conventional wisdom requires reduction to hold. However, I argue that a weaker “local” form of reduction, which defines reduction between theories in terms of a more fundamental notion of reduction between models of a single fixed system, is available in such cases and moreover suffices to uphold the conventional wisdom. To illustrate the sort of fixed-system, inter-model reduction that grounds inter-theoretic reduction on this picture, I specialize to a particular class of cases in which both models are dynamical systems. I show that reduction in these cases is underwritten by a mathematical relationship that follows the broad prescriptions of Nagel/Schaffner reduction, and support this claim with several examples. Moreover, I show that this broadly Nagelian analysis of inter-model reduction encompasses several cases that are sometimes cited as instances of the “physicist’s” limit-based notion of reduction.
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Item Type: | Published Article or Volume | ||||||
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Keywords: | reduction, emergence, local, global, models, Nagel, limits | ||||||
Subjects: | Specific Sciences > Physics General Issues > Reductionism/Holism |
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Depositing User: | Dr. Joshua Rosaler | ||||||
Date Deposited: | 05 Nov 2015 14:01 | ||||||
Last Modified: | 05 Nov 2015 14:01 | ||||||
Item ID: | 11754 | ||||||
Journal or Publication Title: | Studies in History and Philosophy of Modern Physics | ||||||
Publisher: | Elsevier | ||||||
Official URL: | http://www.sciencedirect.com/science/article/pii/S... | ||||||
Subjects: | Specific Sciences > Physics General Issues > Reductionism/Holism |
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Date: | 19 March 2015 | ||||||
Page Range: | pp. 54-69 | ||||||
Volume: | 50 | ||||||
ISSN: | 1355-2198 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/11754 |
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Local Reduction in Physics. (deposited 21 Mar 2015 18:20)
- Local Reduction in Physics. (deposited 05 Nov 2015 14:01) [Currently Displayed]
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