Philosophy of Science 76 (2):119-142 (2009)

Authors
Rasmus Winther
University of California, Santa Cruz
Abstract
Schaffner’s model of theory reduction has played an important role in philosophy of science and philosophy of biology. Here, the model is found to be problematic because of an internal tension. Indeed, standard antireductionist external criticisms concerning reduction functions and laws in biology do not provide a full picture of the limits of Schaffner’s model. However, despite the internal tension, his model usefully highlights the importance of regulative ideals associated with the search for derivational, and embedding, deductive relations among mathematical structures in theoretical biology. A reconstructed Schaffnerian model could therefore shed light on mathematical theory development in the biological sciences and on the epistemology of mathematical practices more generally. *Received November 2006; revised March 2009. †To contact the author, please write to: Philosophy Department, University of California, Santa Cruz, 1156 High St., Santa Cruz, CA 95064; e‐mail: rgw@ucsc.edu.
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DOI 10.1086/600155
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References found in this work BETA

Explaining the Brain.Carl F. Craver - 2009 - Oxford University Press.
How the Laws of Physics Lie.Nancy Cartwright - 1983 - Oxford University Press.
Thinking About Mechanisms.Peter K. Machamer, Lindley Darden & Carl F. Craver - 2000 - Philosophy of Science 67 (1):1-25.
Evolution and the Levels of Selection.Samir Okasha - 2006 - Oxford University Press.

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Citations of this work BETA

Part-Whole Science.Rasmus Grønfeldt Winther - 2011 - Synthese 178 (3):397-427.
Biology Meets Physics: Reductionism and Multi-Scale Modeling of Morphogenesis.Sara Green & Robert Batterman - 2017 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 7161:20-34.

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