Abstract
In this paper I argue that demonstrative induction can deal with the problem ofthe underdetermination of theory by evidence. I present the historical case studyof spectroscopy in the early 1920s, where the choice among different theorieswas apparently underdetermined by spectroscopic evidence concerning the alkalidoublets and their anomalous Zeeman effect. By casting this historical episodewithin the methodological framework of demonstrative induction, the localunderdetermination among Bohr's, Heisenberg's, and Pauli's rival theories isresolved in favour of Pauli's theory of the electron's spin.
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REFERENCES
Bohr, N.: 1923, ‘Linienspektren und Atombau’, Ann. Phys. 71, 228–288; Eng. trans. ‘Line Spectra and Atomic Structure’, in L. Rosenfeld, J. Rud Nielsen et al. (eds.), Niels Bohr Collected Works, vol. 4, North-Holland Publishing Company, Amsterdam, 1977, pp. 611–656
Bonk, T.: 1997,’ Newtonian Gravity, Quantum Discontinuity and the Determination of Theory by Evidence’, Synthese 112, 53–73.
Cassidy, D. C.: 1979, ‘Heisenberg’s First Core Model of the Atom: The Formation of a Professional Style’, Historical Studies in the Physical Sciences 10, 187–224.
de Broglie, L. and A. Dauvillier: 1922, ‘Sur les Analogies de Structure Entre les Séries Optiques et les Séries de Röntgen’, Comptes Rendus de l’Académie des Sciences, Paris 175, 755–756.
Dorling, J.: 1973, ‘Demonstrative Induction: Its Significant Role in the History of Physics’, Philosophy of Science 49, 360–372.
Dorling, J.: 1974, ‘Henry Cavendish’s Deduction of the Electrostatic Inverse Square Law from the Result of a Single Experiment’, Studies in the History and Philosophy of Science 4, 327–348.
Dorling, J.: 1991, ‘Reasoning from Phenomena: Lessons from Newton’, PSA 1990, vol. 2, pp. 197–208.
Forman, P.: 1968, ‘The Doublet Riddle and Atomic Physics circa 1924’, Isis 59, 156–174.
Glymour, C.: 1980, Theory and Evidence, Princeton University Press, Princeton.
Glymour, C.: 1984, ‘Explanation and Realism’, in J. Leplin (ed.), Scientific Realism, University of California Press, Berkeley, pp. 173–192.
Harper, W.: 1990, ‘Newton’s Classic Deductions from Phenomena’, PSA 1990, vol. 2, 1991, 183–196.
Harper, W. and G. E. Smith: 1995, ‘Newton’s New Way of Inquiry’, in J. Leplin (ed.), The Creation of Ideas in Physics, Kluwer, Dordrecht, pp. 113–166.
Heilbron, J. L.: 1982, ‘The Origins of the Exclusion Principle’, Historical Studies in the Physical Sciences 13, 261–310.
Heisenberg, W.: 1922, ‘Zur Quantentheorie der Linienstruktur und der anomalen Zeemaneffekte’, Zeitschrift für Physik 8, 273–297.
Heisenberg, W.: 1924, ‘Ñber eine Abänderung der formalen Regeln der Quantentheorie beim Problem der anomalen Zeemaneffekte’, Zeitschrift für Physik 26, 291–307.
Hoefer, C. and A. Rosenberg: 1994, ‘Empirical Equivalence, Underdetermination, and Systems of the World’, Philosophy of science 61, 592–607.
Kukla, A.: 1993, ‘Laudan, Leplin, Empirical Equivalence and Underdetermination’, Analysis 53, 1–7.
Kukla, A.: 1996, ‘Does Every Theory Have Empirically Equivalent Rivals?’, Erkenntnis 44, 137–166.
Landé, A.: 1921, ‘Ñber den Anomalen Zeemaneffekt, Teil I’, Zeitschrift für Physik 5, 231–241.
Landé, A.: 1923, ‘Termstruktur und Zeemaneffekt der Multipletts’, Zeitschrift für Physik 15, 189–205; ‘Termstruktur und Zeemaneffekt der Multipletts. Zweite Mitteilung’, Zeitschrift für Physik 19, 112–123.
Landé, A. and W. Heisenberg: 1924, ‘Termstruktur der Multipletts höherer Stufe’, Zeitschrift für Physik 25, 279–286.
Laudan, L.: 1990, ‘Demistifying Underdetermination’, in C. Wade Savage (ed.), Scientific Theories, Minnesota Studies in the Philosophy of Science XIV, University of Minnesota Press, Minneapolis, pp. 267–297.
Laudan, L. and J. Leplin: 1991, ‘Empirical Equivalence and Underdetermination’, Journal of Philosophy 88(9), 449–472.
Laudan L. and J. Leplin: 1993, ‘Determination Underdeterred: Reply to Kukla’, Analysis 53, 8–16.
Laymon, R.: 1994, ‘Demonstrative Induction, Old and New Evidence and the Accuracy of the Electrostatic Inverse Square Law’, Synthese 99, 23–58.
Newton, I.: 1687, Philosophiae Naturalis Principia Mathematica; Engl. translation (1803), The Mathematical Principles of Natural Philosophy, by Andrew Motte, edited by W. Davis and H. D. Symonds, London.
Norton, J. D.: 1993, ‘The Determination of Theory by Evidence: The Case for Quantum Discontinuity’, Synthese 97, 1–31.
Norton, J. D.: 1994, ‘Science and Certainty’, Synthese 99, 3–22.
Norton, J. D.: 1995, ‘Eliminative Induction as a Method of Discovery: How Einstein Discovered General Relativity’, in J. Leplin (ed.), The Creation of Ideas in Physics, Kluwer, Dordrecht.
Pauli, W.: 1924, ‘Zur Frage der Zuordnung der Komplexstrukturterme in starken und in schwachen äußeren Feldern’, Zeitschrift für Physik 20, 371–387.
Pauli, W.: 1979, Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg u.a., Vol. I, A. Hermann, K. von Meyenn, and V. F. Weisskopf (eds), Springer-Verlag, Berlin–Heidelberg.
Quine, W. V. O.: 1975, ‘On Empirically Equivalent Systems of the World’, Erkenntnis 9, 313–328.
Serwer, D.: 1977, ‘Unmechanischer Zwang: Pauli, Heisenberg, and the Rejection of the Mechanical Atom 1923–1925’, Historical Studies in the Physical Sciences 8, 189–256.
Sommerfeld, A.: 1916, ‘Zur Quantentheorie der Spektrallinien’, Ann. Phys. 51, 1–94; 125–167.
Stoner, E. C.: 1924, ‘The Distribution of Electrons Among Atomic Levels’, Philosophical Magazine 48, 719–736.
Uhlenbeck, G. E. and S. Goudsmit: 1925, ‘Ersetzung der Hypothese vom unmechanischer Zwang durch eine Forderung bezüglich des inneren Verhaltens jedes einzelnen Elektrons’, Naturwissenschaften 13, 953–954.
Uhlenbeck, G. E. and S. Goudsmit: 1926, ‘Spinning Electrons and the Structure of Spectra’, Nature 117, 264–265.
Van Fraassen, Bas: 1980, The Scientific Image, Oxford University Press, Oxford.
Worrall, J.: 2000, ‘Some Lessons from Newton’s “Demonstrations” in Optics’, Brit. J. Phil. Sc. 51, 45–80.
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Massimi, M. What Demonstrative Induction Can Do Against the Threat of Underdetermination: Bohr, Heisenberg, and Pauli on Spectroscopic Anomalies (1921–24). Synthese 140, 243–277 (2004). https://doi.org/10.1023/B:SYNT.0000031319.64615.49
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DOI: https://doi.org/10.1023/B:SYNT.0000031319.64615.49