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Synthese

, Volume 196, Issue 3, pp 1097–1129 | Cite as

Confirmation and the generalized Nagel–Schaffner model of reduction: a Bayesian analysis

  • Marko TešićEmail author
Article
  • 34 Downloads

Abstract

In their 2010 (Erkenntnis 73:393–412) paper, Dizadji-Bahmani, Frigg, and Hartmann (henceforth ‘DFH’) argue that the generalized version of the Nagel–Schaffner model that they have developed (henceforth ‘the GNS’) is the right one for intertheoretic reduction, i.e. the kind of reduction that involves theories with largely overlapping domains of application. Drawing on the GNS, DFH (Synthese 179:321–338, 2011) presented a Bayesian analysis of the confirmatory relation between the reducing theory and the reduced theory and argued that, post-reduction, evidence confirming the reducing theory also confirms the reduced theory and evidence confirming the reduced theory also confirms the reducing theory, which meets the expectations one has about theories with largely overlapping domains. In this paper, I argue that the Bayesian analysis presented by DFH (Synthese 179:321–338, 2011) faces difficulties. In particular, I argue that the conditional probabilities that DFH introduce to model the bridge law entail consequences that run against the GNS. However, I also argue that, given slight modifications of the analysis that are in agreement with the GNS, one is able to account for these difficulties and, moreover, one is able to more rigorously analyse the confirmatory relation between the reducing and the reduced theory.

Keywords

Confirmation Nagelian reduction Thermodynamics and statistical mechanics Bayesian network models 

Notes

Acknowledgements

I would like to thank Stephan Hartmann, Benjamin Eva, and anonymous reviewers for helpful and constructive comments that greatly improved the manuscript. I would also like to thank audiences in Lisbon, at the Third Lisbon International Conference on Philosophy of Science and in Dubrovnik, at the Formal Methods and Philosophy II Conference.

References

  1. Aerts, D., & Rohrlich, F. (1998). Reduction. Foundations of Science, 1, 27–35.CrossRefGoogle Scholar
  2. Ager, T. A., Aronson, J. L., & Weingard, R. (1974). Are bridge laws really necessary? Noûs, 8(2), 119–134.CrossRefGoogle Scholar
  3. Batterman, R. W. (2002). The devil in the details: Asymptotic reasoning in explanation, reduction, and emergence. Oxford: Oxford University Press.Google Scholar
  4. Bovens, L., & Hartmann, S. (2003). Bayesian epistemology. Oxford: Oxford University Press.Google Scholar
  5. Darden, L., & Maull, N. (1977). Interfield theories. Philosophy of Science, 44(1), 43–64.CrossRefGoogle Scholar
  6. Dizadji-Bahmani, F. (2011). Neo-Nagelian reduction: A statement, defence, and application. Ph.D. Thesis, The London School of Economics and Political Science (LSE). Retrieved from http://etheses.lse.ac.uk/355/.
  7. Dizadji-Bahmani, F., Frigg, R., & Hartmann, S. (2010). Who’s afraid of Nagelian reduction? Erkenntnis, 73, 393–412.CrossRefGoogle Scholar
  8. Dizadji-Bahmani, F., Frigg, R., & Hartmann, S. (2011). Nagelian reduction. Synthese, 179, 321–338.CrossRefGoogle Scholar
  9. Earman, J. (1992). Bayes or bust? A critical examination of Bayesian confirmation theory. Cambridge, MA: The MIT Press.Google Scholar
  10. Feynman, R. P., Leighton, R. B., & Sands, M. (1964). The Feynman lectures on physics (Vol. 1). Reading, MA: Addison-Wesley.Google Scholar
  11. Fitelson, B. (1999). The plurality of Bayesian measures of confirmation and the problem of measure sensitivity. Philosophy of Science, 66, S362–S378.CrossRefGoogle Scholar
  12. Greiner, W., Heise, L., & Stöcker, H. (1997). Thermodynamics and Statistical mechanics. New York, NY: Springer.Google Scholar
  13. Háyek, A., & Hartmann, S. (2010). Bayesian epistemology. In J. Dancy, E. Sosa, & M. Steup (Eds.), A companion to epistemology (pp. 93–105). Oxford: Wiley-Blackwell.Google Scholar
  14. Hartmann, S., & Sprenger, J. (2011). Bayesian epistemology. In S. Bernecker & D. Pritchard (Eds.), The Routledge companion to epistemology (pp. 609–620). New York, NY and London: Routledge.Google Scholar
  15. Kuipers, T. A. F. (1982). The reduction of phenomenological to kinetic thermostatics. Philosophy of Science, 49(1), 107–119.CrossRefGoogle Scholar
  16. Nagel, E. (1961). The structure of science. London: Routledge and Keagan Paul.CrossRefGoogle Scholar
  17. Neapolitan, R. E. (2003). Learning Bayesian networks. Upper Saddle River, NJ: Prentice Hall.Google Scholar
  18. Pauli, W. (1973). Pauli lectures on physics: Thermodynamics and the kinetic theory of gases (Vol. 3). Cambridge, MA and London: The MIT Press.Google Scholar
  19. Pearl, J. (1988). Probabilistic reasoning in intelligent systems: Networks of plausible inference. San Francisco, CA: Morgan Kauffman.Google Scholar
  20. Primas, H. (1998). Emergence in the exact sciences. Acta Polytechnica Scandinavica, 91, 83–98.Google Scholar
  21. Rohrlich, F. (1989). The logic of reduction: The case of gravitation. Foundations of Physics, 19(10), 1151–1170.CrossRefGoogle Scholar
  22. Sarkar, S. (2015). Nagel on reduction. Studies in History and Philosophy of Science, 53, 43–56.CrossRefGoogle Scholar
  23. Schaffner, K. F. (1967). Approaches to reduction. Philosophy of Science, 34(2), 137–147.CrossRefGoogle Scholar
  24. Schaffner, K. F. (2006). Reduction: The Cheshire cat problem and a return to roots. Synthese, 151, 377–402.CrossRefGoogle Scholar
  25. Schaffner, K. F. (2012). Ernest Nagel and reduction. The Journal of Philosophy, 109, 534–565.CrossRefGoogle Scholar
  26. Sklar, L. (1967). Types of inter-theoretic reduction. The British Journal for the Philosophy of Science, 18(2), 109–124.CrossRefGoogle Scholar
  27. Sklar, L. (1993). Physics and chance: Philosophical issues in the foundations of statistical mechanics. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  28. van Riel, R. (2011). Nagelian reduction beyond the Nagel model. Philosophy of Science, 78(3), 353–375.CrossRefGoogle Scholar
  29. van Riel, R. (2013). Identity, asymmetry, and the relevance of meanings for models of reduction. The British Journal for the Philosophy of Science, 64, 747–761.CrossRefGoogle Scholar
  30. van Riel, R. (2014). The concept of reduction. Dordrecht: Springer.CrossRefGoogle Scholar
  31. van Riel, R., & Van Gulick, R. (2016). Scientific reduction. In E. N. Zalta (Ed.), The Stanford encyclopaedia of philosophy. Retrieved from https://plato.stanford.edu/archives/win2016/entries/scientific-reduction/.
  32. Winther, R. G. (2009). Schaffner’s model of theory reduction: Critique and reconstruction. Philosophy of Science, 76(2), 119–142.CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2017

Authors and Affiliations

  1. 1.Center for Advanced StudiesLudwig-Maximilians-Universität MünchenMunichGermany

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