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The Function of Boundary Conditions in the Physical Sciences

Published online by Cambridge University Press:  01 January 2022

Abstract

Early philosophical accounts of explanation mistook the function of boundary conditions for that of contingent facts. I diagnose where this misunderstanding arose and establish that it persists. I disambiguate between two uses of the term “boundary conditions”? and argue that boundary conditions are explanatory via their roles as components of models. Using case studies from fluid mechanics and the physics of waves, I articulate four explanatory functions for boundary conditions in physics: specifying the scope of a model, enabling stable descriptions of phenomena in a model, generating descriptions of novel phenomena, and connecting models from differing theoretical backgrounds.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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References

Achinstein, Peter. 1971. Law and Explanation: An Essay in the Philosophy of Science. Oxford: Oxford University Press.Google Scholar
Batterman, Robert W. 2001. The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction and Emergence. Oxford: Oxford University Press.CrossRefGoogle Scholar
Batterman, Robert W. 2012. “The Tyranny of Scales.” In Oxford Handbook of Philosophy of Physics, ed. Batterman, Robert W., 255–86. Oxford: Oxford University Press.Google Scholar
Batterman, Robert W., and Rice, Collin C.. 2014. “Minimal Model Explanations.” Philosophy of Science 81 (3): 349–76.CrossRefGoogle Scholar
Bokulich, Alisa. 2008. “Can Classical Structures Explain Quantum Phenomena?British Journal for the Philosophy of Science 59 (2): 217–35.CrossRefGoogle Scholar
Bokulich, Alisa. 2013. “Explanatory Models versus Predictive Models: Reduced Complexity Modeling in Geomorphology.” In EPSA11 Perspectives and Foundational Problems in Philosophy of Science, 115–28. Dordrecht: Springer.Google Scholar
Bokulich, Alisa. 2017. “Models and Explanation.” In Springer Handbook of Model-Based Science, ed. Magnani, Lorenzo and Bertolotti, Tommaso, 103–18. Dordrecht: Springer.Google Scholar
Borges, Jorge Luis. 1998. “On Exactitude in Science.” In Collected Fictions, ed. Hurley, Andrew, 325. London: Penguin.Google Scholar
Braithwaite, Richard Bevan. 1955. Scientific Explanation: A Study of the Function of Theory, Probability and Law in Science. Cambridge: Cambridge University Press.Google Scholar
Bursten, Julia R. 2018. “Conceptual Strategies and Inter-theory Relations: The Case of Nanoscale Cracks.” Studies in History and Philosophy of Science B 62:158–65.Google Scholar
Butterfield, Jeremy. 2014. “On Under-determination in Cosmology.” Studies in History and Philosophy of Science B 46:5769.CrossRefGoogle Scholar
Cartwright, Nancy. 1983. How the Laws of Physics Lie. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Cartwright, Nancy. 1999. The Dappled World: A Study of the Boundaries of Science. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Dretske, Fred I. 1977. “Laws of Nature.” Philosophy of Science 44 (2): 248–68.CrossRefGoogle Scholar
Earman, John, Glymour, Clark, and Mitchell, Sandra. 2003. Ceteris Paribus Laws. Dordrecht: Springer.Google Scholar
French, Steven, and Saatsi, Juha. 2018. “Symmetries and Explanatory Dependencies in Physics.” In Explanation beyond Causation: Philosophical Perspectives on Non-causal Explanations, ed. Reutlinger, Alexander and Saatsi, Juha, 185205. Oxford: Oxford University Press.Google Scholar
Green, Sara, and Batterman, Robert. 2017. “Biology Meets Physics: Reductionism and Multi-Scale Modeling of Morphogenesis.” Studies in History and Philosophy of Science C 61:2034.CrossRefGoogle ScholarPubMed
Hempel, Carl G. 1942. “The Function of General Laws in History.” Journal of Philosophy 39 (2): 3548.CrossRefGoogle Scholar
Hempel, Carl G., and Oppenheim, Paul. 1948. “Studies in the Logic of Explanation.” Philosophy of Science 15 (2): 135–75.CrossRefGoogle Scholar
Jhun, Jennifer. 2019. “Economics, Equilibrium Methods, and Multi-Scale Modeling.” Erkenntnis. https://doi.org/10.1007/s10670-019-00113-6.CrossRefGoogle Scholar
Kitcher, Philip. 1981. “Explanatory Unification.” Philosophy of Science 48 (4): 507–31.CrossRefGoogle Scholar
Lange, Marc. 2009. Laws and Lawmakers: Science, Metaphysics, and the Laws of Nature. Oxford: Oxford University Press.CrossRefGoogle Scholar
Morrison, Margaret. 1999. “Models as Autonomous Agents.” In Models as Mediators: Perspectives on Natural and Social Science, ed. Morgan, Mary and Morrison, Margaret, 3865. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Morrison, Margaret. 2015. Reconstructing Reality: Models, Mathematics, and Simulations. Oxford: Oxford University Press.CrossRefGoogle Scholar
Morrison, Margaret. 2018. “Turbulence, Emergence and Multi-Scale Modelling.” Synthese. https://doi.org/10.1007/s11229-018-1825-5.CrossRefGoogle Scholar
Nagel, Ernest. 1961. The Structure of Science: Problems in the Logic of Scientific Explanation. New York: Harcourt, Brace & World.CrossRefGoogle Scholar
Oden, J. Tinsley, Belytschko, Ted, Fish, Jacob, Hughes, T. J., Johnson, Chris, Keyes, David, Laub, Alan, Petzold, Linda, Srolovitz, David, and Yip, S.. 2006. “Revolutionizing Engineering Science through Simulation.” Blue Ribbon Panel Report 65, National Science Foundation, Alexandria, VA.Google Scholar
Phillips, Rob. 2001. Crystals, Defects and Microstructures: Modeling across Scales. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Potochnik, Angela. 2017. Idealization and the Aims of Science. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Rueger, Alexander. 2005. “Perspectival Models and Theory Unification.” British Journal for the Philosophy of Science 56 (3): 579–94.CrossRefGoogle Scholar
Salmon, W. C. 1984. Scientific Explanation and Causal Structure of the World. Princeton, NJ: Princeton University Press.Google Scholar
Sykora, Jeffrey. 2019. “Fluid Mechanics, Models, and Realism: Philosophy at the Boundaries of Fluid Systems.” PhD diss., University of Pittsburgh.Google Scholar
van Fraasen, Bastiaan. 1980. The Scientific Image. Oxford: Oxford University Press.CrossRefGoogle Scholar
Wilson, Mark. 2017. Physics Avoidance: Essays in Conceptual Strategy. Oxford: Oxford University Press.Google Scholar
Winsberg, Eric. 2010. Science in the Age of Computer Simulation. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Woodward, James. 2003. Making Things Happen: A Theory of Causal Explanation. Oxford: Oxford University Press.Google Scholar