Modeling High-Temperature Superconductivity: Correspondence at Bay?

  • Stephan Hartmann
Part of the Boston Studies in the Philosophy of Science book series (BSPS, volume 255)

Abstract

How does a predecessor theory relate to its successor? According to Heinz Post’s General Correspondence Principle, the successor theory has to account for the empirical success of its predecessor. After a critical discussion of this principle, I outline and discuss various kinds of correspondence relations that hold between successive scientific theories. I then look in some detail at a case study from contemporary physics: the various proposals for a theory of high-temperature superconductivity. The aim of this case study is to understand better the prospects and the place of a methodological principle such as the Generalized Correspondence Principle. Generalizing from the case study, I will then argue that some such principle has to be considered, at best, as one tool that might guide scientists in their theorizing. Finally I present a tentative account of why principles such as the Generalized Correspondence Principle work so often and why there is so much continuity in scientific theorizing

Keywords

Bayesianism constructionism correspondence principle modeling scientific realism theory change 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, P. and Schrieffer, R. (1991) A Dialog on the Theory of High-T c.Physics Today, June, 55–61.Google Scholar
  2. Anderson, P. (1995) Condensed Matter: The Continuous Revolution. Physics World, 8, December, 37–40.Google Scholar
  3. Anderson, P. and Mott, N. (1996) High-Temperature Superconductivity Debate Heats Up. Physics World, 9, January, 16.Google Scholar
  4. Anderson, P. (1997) The Theory of Superconductivity in the High-T c Cuprates. Princeton NJ: Princeton University Press.Google Scholar
  5. Anderson, P., Lee, P., Randeria, M., Rice, T., Trivedi N., and Zhang, F. (2004) The Physics Behind High-Temperature Superconducting Cuprates: The ‘Plain Vanilla’ Version of RVB. Journal of Physics–Condensed Matter, 16(24), R755–R769.CrossRefGoogle Scholar
  6. Anderson, P. (2006) Present Status of the Theory of the High-T c Cuprates. Low Temperature Physics, 32 (4–5), 282–289.CrossRefGoogle Scholar
  7. Bednorz, J. G. and Müller, K. A. (1988) Perovskite-Type Oxides–The New Approach to High-T c Superconductivity. Reviews of Modern Physics, 60, 585–600.CrossRefGoogle Scholar
  8. BonJour, L. (1985) The Structure of Empirical Knowledge. Cambridge, MA: Harvard University Press.Google Scholar
  9. Bovens, L. and Hartmann, S. (2003a) Bayesian Epistemology. Oxford: Oxford University Press.Google Scholar
  10. Bovens, L. and Hartmann, S. (2003b) Solving the Riddle of Coherence. Mind, 112, 601–634.CrossRefGoogle Scholar
  11. Cartwright, N. (1999) The Dappled World: A Study of the Boundaries of Science. Cambridge: Cambridge University Press.Google Scholar
  12. Cushing, J. (1993) Underdetermination, Conventionalism and Realism: The Copenhagen vs. the Bohm Interpretation of Quantum Mechanics. In S. French and H. Kamminga (1993), pp. 261–278.Google Scholar
  13. da Costa, N. and French, S. (1993) Towards an Acceptable Theory of Acceptance: Partial Structures and the General Correspondence Principle. In S. French and H. Kamminga (1993), pp. 137–158.Google Scholar
  14. Earman, J. (1992) Bayes or Bust? An Examination of Bayesian Confirmation Theory. Cambridge, MA: MIT.Google Scholar
  15. Fadner, W. (1985) Theoretical Support for the Generalized Correspondence Principle. American Journal of Physics, 53(9), 829–838.CrossRefGoogle Scholar
  16. Fahrbach, L. (forthcoming) The Pessimistic Meta-Induction and the Exponential Growth of Science. Unpublished manuscript. University of Konstanz.Google Scholar
  17. Fine, A. (1993) Measurement and Quantum Silence. In S. French and H. Kamminga (1993), pp. 279–294.Google Scholar
  18. Ford, P. and Saunders, G. (1997) High Temperature Superconductivity–Ten Years On. Contemporary Physics, 38, 63–81.CrossRefGoogle Scholar
  19. French, S. and Kamminga, H. (eds.) (1993) Correspondence, Invariance and Heuristics. Essays in Honour of Heinz Post. Dordrecht, The Netherlands: Kluwer.Google Scholar
  20. Frigg, R. and Hartmann S. (2006) Models in Science. Stanford Encyclopedia of Philosophy (Spring 2006 Edition).Google Scholar
  21. Hacking, I. (1999) The Social Construction of What? Cambridge, MA: Harvard University Press.Google Scholar
  22. Hartmann, S. (2002) On Correspondence. Studies in History and Philosophy of Modern Physics, 33B, 79–94.CrossRefGoogle Scholar
  23. Hartmann, S. (2008) Modeling in Philosophy of Science, to appear in: M. Frauchiger and W.K. Essler (eds.), Representation, Evidence, and Justification: Themes from Suppes (Lauener Library of Analytical Philosophy; vol. 1). Frankfurt: ontos verlag.Google Scholar
  24. Hartmann, S. (in preparation) Normal Science and Its Justification.Google Scholar
  25. Hoyningen-Huene, P. (1993) Reconstructing Scientific Revolutions: Thomas S. Kuhn’s Philosophy of Science. Chicago IL: University of Chicago Press.Google Scholar
  26. Joos, E. et al. (2003) Decoherence and the Appearance of a Classical World in Quantum Theory. Berlin: Springer.Google Scholar
  27. Kamminga, H. (1993) Taking Antecedent Conditions Seriously: A lesson in Heuristics from Biology. In S. French and H. Kamminga (1993), pp. 65–82.Google Scholar
  28. Kivelson, S.A. (2006) Superconductivity on the Verge of Catastrophe. Nature Materials, 5(5), 343–344.CrossRefGoogle Scholar
  29. Koertge, N. (1973) Theory Change in Science. In G. Pearce and P. Maynard (eds.) Conceptual Change. Dordrecht, The Netherlands: Reidel, pp. 167–198.Google Scholar
  30. Kuhn, T. S. (1996) The Structure of Scientific Revolutions. Chicago IL: University of Chicago Press.Google Scholar
  31. Laudan, L. (1981) A Confutation of Convergent Realism. Philosophy of Science, 48, 19–49.CrossRefGoogle Scholar
  32. Lee, D.H. (2006) D-Symmetry CDW, Fermi Arcs, and Pseudogap in High T c Cuprates, talk presented at The 8th International Conference on Materials and Mechanisms of Superconductivity and High Temperature Superconductors. Dresden, 9–15 July 2006Google Scholar
  33. Leggett, T. (1997) Superconducting Thoughts Meet Sceptical Resistance. Physics World, 10, October, 51–52.Google Scholar
  34. Niiniluoto, I. (1999) Critical Scientific Realism. Oxford: Oxford University Press.Google Scholar
  35. Norman, M., Pines, D. and Kallin, C. (2005) The Pseudogap: Friend or Foe of High T c? Advances in Physics, 54(8), 715–733.CrossRefGoogle Scholar
  36. Popper, K. (1972) Objective Knowledge. An Evolutionary Approach. Oxford: Clarendon.Google Scholar
  37. Post, H. (1971) Correspondence, Invariance and Heuristics. Studies in History and Philosphy of Science, 2, 213–255. In S. French and H. Kamminga (1993), 1–44.Google Scholar
  38. Radder, H. (1988) The Material Realization of Science. Assen: Van Gorcum.Google Scholar
  39. Radder, H. (1991) Heuristics and the Generalized Correspondence Principle. British Journal for the Philosophy of Science, 42, 195–226.CrossRefGoogle Scholar
  40. Redhead, M. (1993) Is the End of Physics in Sight? In S. French and H. Kamminga (1993), pp. 327–341.Google Scholar
  41. Salmon, W.C. (1990) Rationality and Objectivity in Science, or Tom Kuhn Meets Tom Bayes. In C. W. Savage (ed.) Scientific Theories. Minneapolis MN: University of Minnesota Press, pp. 175–204.Google Scholar
  42. Saunders, S. (1993) To What Physics Corresponds. In S. French and H. Kamminga (1993), pp. 295–325.Google Scholar
  43. Scalapino, D. (1995) The Case For d x 2-y 2 Pairing in Cuprate Superconductors. Physics Reports, 250, 329–365.CrossRefGoogle Scholar
  44. Scerri, E. (2006) The Periodic Table: Its Story and Its Significance. New York: Oxford University Press.Google Scholar
  45. Tinkham, M. (1996) Introduction to Superconductivity. New York: McGraw-Hill.Google Scholar
  46. Tsai, W. and Kivelson S. (2006) Superconductivity in Inhomogeneous Hubbard Models. Physical Review, B73(21), 214510.Google Scholar
  47. Waldram, J. (1996) Superconductivity of Metals and Cuprates. Bristol PA: Institute of Physics Publishing.Google Scholar
  48. Zahar, E. (1989) Einstein’s Revolution: A Study in Heuristic. La Salle, IL: Open Court.Google Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  • Stephan Hartmann
    • 1
  1. 1.Center for Logic and Philosophy of ScienceTilburg UniversityTilburgThe Netherlands

Personalised recommendations