, Volume 119, Issue 1–2, pp 113–134 | Cite as

Ludwig Boltzmann's Bildtheorie and Scientific Understanding

  • Henk W. de Regt


Boltzmann’s Bildtheorie, which asserts that scientific theories are ‘mental pictures’ having at best a partial similarity to reality, was a core element of his philosophy of science. The aim of this article is to draw attention to a neglected aspect of it, namely its significance for the issue of scientific explanation and understanding, regarded by Boltzmann as central goals of science. I argue that, in addition to being an epistemological view of the interpretation of scientific theories Boltzmann’s Bildtheorie has implications for the nature of scientific understanding. This aspect has as yet been ignored because discussion of the Bildtheorie has been restricted to the realism-instrumentalism debate. To elucidate my analysis of Boltzmann’s Bildtheorie concrete examples are presented, and the pragmatist and Darwinist roots of Boltzmann’s view are discussed.

Moreover, I propose to use Boltzmann’s ideas as a starting-point for developing a novel analysis of the notion of scientific understanding, of which a brief impression is given. It shows that the study of Boltzmann’s philosophy is not only of historical interest but can be relevant also to modern philosophy of science and to the methodology of theoretical physics.


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  1. Blackmore, J. (ed): 1995a, Ludwig Boltzmann, His Later Life and Philosophy, 1900-1906. Book One: A Documentary History, Kluwer, Dordrecht.Google Scholar
  2. Blackmore, J.: 1995b, Ludwig Boltzmann, His Later Life and Philosophy, 1900-1906. Book Two: The Philosopher, Kluwer, Dordrecht.Google Scholar
  3. Boltzmann, L.: 1964, Lectures on Gas Theory, University of California Press, Berkeley.Google Scholar
  4. Boltzmann, L.: 1968, Wissenschaftliche Abhandlungen, Chelsea, New York.Google Scholar
  5. Boltzmann, L.: 1974, Theoretical Physics and Philosophical Problems,D.Reidel, Dordrecht.Google Scholar
  6. Boltzmann, L.: 1979, Populäre Schriften, Vieweg, Braunschweig.Google Scholar
  7. Boltzmann, L.: 1981, Vorlesungen über Gastheorie, reprinted in R. U. Sexl (ed.), Ludwig Boltzmann Gesamtausgabe, Band 1, Akademische Druck-und Verlagsanstalt, Graz.Google Scholar
  8. Boltzmann, L.: 1982, Vorlesungen über Maxwells Theorie der Elektricität und des Lichtes, 2 volumes, reprinted in R. U. Sexl (ed.), Ludwig Boltzmann Gesamtausgabe, Band 2, Akademische Druck-und Verlagsanstalt, Graz.Google Scholar
  9. Broda, E.: 1973, 'Philosophical Biography of Ludwig Boltzmann', in E. G. D. Cohen and W. Thirring (eds.), The Boltzmann Equation, Springer-Verlag, Wien, 17-51.Google Scholar
  10. Broda, E.: 1983, Ludwig Boltzmann: Man, Physicist, Philosopher, Ox Bow Press, Wood-bridge.Google Scholar
  11. Cushing, J. T.: 1991, 'Quantum Theory and Explanatory Discourse: Endgame for Understanding? ', Philosophy of Science 58, 337-358.CrossRefGoogle Scholar
  12. D'Agostino, S.: 1990, 'Boltzmann and Hertz on the Bild-conception of Physical Theory', History of Science 28, 380-398.Google Scholar
  13. De Regt, H. W.: 1996, 'Philosophy and the Kinetic Theory of Gases', British Journal for the Philosophy of Science 47, 31-62.CrossRefGoogle Scholar
  14. De Regt, H. W.: 1997, 'Erwin Schrödinger, Anschaulichkeit, and Quantum Theory', Studies in History and Philosophy of Modern Physics 28, 461-481.CrossRefGoogle Scholar
  15. Dieks, D. and H. W. de Regt: 1998, 'Reduction and Understanding', Foundations of Science 3, 45-59.CrossRefGoogle Scholar
  16. Fasol-Boltzmann, I. M. (ed.): 1990, Ludwig Boltzmann Principien der Naturfilosofi, Lectures on Natural Philosophy 1903-1906, Springer Verlag, Berlin.Google Scholar
  17. Feynman, R. P., R. B. Leighton, and M. Sands: 1963-1965, The Feynman Lectures on Physics(three volumes), Addison-Wesley, Reading.Google Scholar
  18. Friedman, M.: 1974, 'Explanation and Scientific Understanding', Journal of Philosophy 71, 5-19.CrossRefGoogle Scholar
  19. Heisenberg, W.: 1983, 'The Physical Content of Quantum Kinematics and Mechanics', in J. A. Wheeler and W. H. Zurek (eds.), Quantum Theory and Measurement, Princeton University Press, Princeton, pp. 62-84.Google Scholar
  20. Hiebert, E. N.: 1981, 'Boltzmann's Conception of Theory Construction: The Promotion of Pluralism, Provisionalism, and Pragmatic Realism', in J. Hintikka, D. Gruender and E. Agazzi (eds.), Proceedings of the 1978 Pisa Conference on the History and Philosophy of Science, Vol. II, D. Reidel, Dordrecht, pp. 175-198.Google Scholar
  21. James, W.: 1907, Pragmatism, Longmans, Green and Co., New York.Google Scholar
  22. Miller, A. I.: 1986, 'On the Origins, Methods, and Legacy of Ludwig Boltzmann's Mechanics', in Imagery in Scientific Thought, MIT Press, Cambridge, Mass., pp. 73-96.Google Scholar
  23. Peirce, C. S.: 1878, 'How to Make Our Ideas Clear', Popular Science Monthly 12, 286-302.Google Scholar
  24. Wilson, A. D.: 1989, 'Hertz, Boltzmann and Wittgenstein Reconsidered', Studies in History and Philosophy of Science 20, 245-263.CrossRefGoogle Scholar
  25. Wilson, A. D.: 1993, 'Boltzmann's Philosophical Education and its Bearing on His Mature Scientific Epistemology', in G. Battimelli, M. G. Ianniello and O. Kresten (eds.), Proceedings of the International Symposium on Ludwig Boltzmann, Verlag der Österreichischen Akademie der Wissenschaften, Wien, pp. 57-69.Google Scholar
  26. Wittgenstein, Ludwig: 1953, Philosophical Investigations, Basil Blackwell, Oxford.Google Scholar

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Henk W. de Regt
    • 1
  1. 1.Institute for History and Foundations of Mathematics and ScienceUtrecht UniversityUtrechtThe Netherlands

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