Schola quantorum: progress, rationality and inconsistency in the old atomic theory. Part II: critique of Lakatos’ interpretation

Authors

  • Valter Alnis Bezerra Universidade de São Paulo. Faculdade de Filosofia, Letras e Ciências Humanas

DOI:

https://doi.org/10.1590/S1678-31662004000200004

Keywords:

Old atomic theory, Quantum theory, Correspondence principle, Quantization condition, Zeeman effect, Stark effect, Spectral series, BKS theory, Spin, Exclusion principle, Inconsistency, Methodology of scientific research programmes, Scientific progress, Scientific rationality, Bohr, Sommerfeld, Kramers, Slater, Pauli, Lakatos

Abstract

In this paper, taking as a starting point the historical panorama sketched in the first article of this series (Bezerra, 2003), I undertake a critical analysis of the reconstruction of the early atomic theory performed by Imre Lakatos (1970), and show it to be inadequate in several respects. The present text begins by an exposition of Lakatos' model, the so-called methodology of scientific research programmes. The main problems confronting the Lakatosian reconstruction are then discussed, referring to aspects such as: the status of the correspondence principle; the omission of Sommerfeld's quantization condition; the omission of various important developments occurred in the period 1921-1924; and the unsatisfactory treatment given to the concept of spin. The main difficulty confronting a reconstruction of Lakatosian type, however, refers to the Bohr-Kramers-Slater theory of radiation (BKS) and to Kramers' theory of dispersion which are mostly ignored by Lakatos, but are discussed here in detail. As a result of such problems, the Lakatosian account of the "degenerating phase" of the early atomic theory is itself seriously called into question. In the closing section of the paper, one is led to conclude that some of the difficulties are of a historiographical nature, resulting basically from a bad application of the model; others, however, point to a deeper inadequacy of the methodology of research programmes itself. Towards the end, the possible causes of such inadequacy are discussed including, in particular, the Lakatosian concept of the hard core of a research program, and the unsatisfactory analysis of the conceptual aspects of science and possible paths for their overcoming are suggested.

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References

Balzer, W.; Moulines, C. U. & Sneed, J. D. An architectonic for science: the structuralist program. Dordrecht, D. Reidel, 1987.

Bezerra, V. A. Schola quantorum: progresso, racionalidade e inconsistência na antiga teoria atômica. Parte I: desenvolvimento histórico, 1913-1925. Scientiae Studia, 1, 4, p. 463-517, 2003.

Bohr, N. On the constitution of atoms and molecules. Philosophical Magazine, 26, p. 1-25, 476-502, 857-75, 1913. Fac-símile in: _______. Collected works. Amsterdam, North-Holland, 1981 [1913]. p. 159-233. v. 2: Work on atomic physics (1912-1917).

Bohr, N. On the constitution of atoms and molecules. Part I. In: Ter Haar, D. (Ed.). The old quantum theory. Oxford, Pergamon, 1967 [1913]. p. 132-59.

Bohr, N. Sobre a constituição de átomos e moléculas. Introd. de L. Rosenfeld. Trad. de E. Namorado. Lisboa, Gulbenkian, 1979 [1913].

Bohr, N. On the quantum theory of line-spectra. Det Kongelige Danske Videnskabernes Selskab. Skrifter. Naturvidenskabelig og Mathematisk Afdeling (København), 8. Raekke, 4, 1, p. 1-118, 1918. Fac-símile in: Bohr, N. Collected works. Amsterdam, North-Holland, 1976 [1918]. p. 65-184. v. 3: The correspondence principle (1918-1923).

Bohr, N. On the quantum theory of line-spectra. Introduction and part I. In: Van Der Waerden, B. L. (Ed.) Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1918]. p. 95-137.

Bohr, N. On the application of the quantum theory to atomic structure. Part I: the fundamental postulates of the quantum theory. Proceedings of the Cambridge Philosophical Society, Supplement, 1924. Fac-símile in: Bohr, N. Collected works. Amsterdam, North-Holland, 1976 [1924]. p. 457-500. v. 3: The correspondence principle (1918-1923).

Bohr, N. Collected works. Ed. de U. Hoyer. Amsterdam, North-Holland, 1981. v. 2: Work on atomic physics (1912-1917).

Bohr, N. Ed. de J. R. Nielsen. Amsterdam, North-Holland, 1976. v. 3: The correspondence principle (1918-1923).

Bohr, N.; Kramers, H. A. & Slater, J. C. The quantum theory of radiation. In: Van Der Waerden, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1924]. p. 159-76.

Born, M. Quantum mechanics. In: Van Der Waerden, B. L. (Ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1924]. p. 181-98.

Díez, J. A. & Lorenzano, P. La concepción estructuralista en el contexto de la filosofía de la ciencia del siglo xx. In: _______. (Ed.). Desarrollos actuales de la metateoría estructuralista: problemas y discusiones. Bernal, Universidad Nacional de Quilmes/Universitat Rovira i Virgili/Universidad Autónoma de Zacatecas, 2002. p. 13-78.

Díez, J. A. & Lorenzano, P._______. (Ed.). Desarrollos actuales de la metateoría estructuralista: problemas y discusiones. Bernal, Universidad Nacional de Quilmes/Universitat Rovira i Virgili/Universidad Autónoma de Zacatecas, 2002.

Einstein, A. On the quantum theory of radiation. In: Van Der Waerden, B. L. (Ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1917]. p. 63-77.

Hettema, H. Bohr’s theory of the atom 1913-1923: a case study in the progress of scientific research programmes. Studies in History and Philosophy of Modern Physics, 26, 3, p. 307-23, 1995.

Jammer, M. The conceptual development of quantum mechanics. Nova Iorque, McGraw-Hill, 1966.

Kramers, H. A. The law of dispersion and Bohr’s theory of spectra. In: Van Der Waerden, B. L. (Ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967a [1924a]. p. 177-80.

Kramers, H. A. The quantum theory of dispersion. In: Van Der Waerden, B. L. (Ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967b [1924b]. p. 199-201.

Lakatos, I. Falsification and the methodology of scientific research programmes. In: _______. Philosophical papers. Cambridge, Cambridge University Press, 1978 [1970]. p. 8-101. v. 1: The methodology of scientific research programmes.

Lakatos, I. History of science and its rational reconstructions. In: Lakatos, I. Philosophical papers. Cambridge, Cambridge University Press, 1978 [1971]. p. 102-38. v. 1: The methodology of scientific research programmes.

Lakatos, I. Philosophical papers. Ed. de J. Worrall & G. Currie. Cambridge, Cambridge University Press, 1978. v. 1: The methodology of scientific research programmes.

Laudan, L. Progress and its problems: towards a theory of scientific growth. Londres, Routledge & Kegan Paul, 1977.

Laudan, L. Science and values: the aims of science and their role in scientific debate. Berkeley, University of California Press, 1984.

Mehra, J. & Rechenberg, H. The historical development of quantum theory. Nova Iorque, Springer, 1982a. v. 1: The quantum theory of Planck, Einstein, Bohr and Sommerfeld: its foundation and the rise of its difficulties, 1900-1925 (Parte 1).

Mehra, J. & Rechenberg, H. The historical development of quantum theory. Nova Iorque, Springer, 1982b. v. 2: The quantum theory of Planck, Einstein, Bohr and Sommerfeld: its foundation and the rise of its difficulties, 1900-1925 (Parte 2).

Moulines, C. U. Exploraciones metacientíficas. Madri, Alianza Editorial, 1982.

Pauli, W. On the connexion between the completion of electron groups in an atom with the complex structure of spectra. In: Ter Haar, D. (ed.). The old quantum theory. Oxford, Pergamon, 1967 [1925]. p. 184-203.

Pessoa Júnior, O. Histórias contrafactuais: o surgimento da física quântica. Estudos Avançados, 14, 39, p. 175-203, 2000.

Pessoa Júnior, O. Counterfactual histories: the beginning of quantum physics. Philosophy of Science, 68 (Proceedings), p. S519-S530, 2001.

Radder, H. An immanent criticism of Lakatos’ account of the ‘degenerating phase’ of Bohr’s atomic theory. Zeitschrift für allgemeine Wissenschaftstheorie, 13, 1, p. 99-109, 1982.

Radder, H. Heuristics and the generalized correspondence principle. British Journal for the Philosophy of Science, 42, p. 195-226, 1991.

Slater, J. C. Radiation and atoms. Nature, 113, p. 307-8, 1924.

Sommerfeld, A. Atomic structure and spectral lines. 3a. ed. Trad. de H. L. Brose. Londres, Methuen, 1928.

Sommerfeld, A. Atomic structure and spectral lines. 5a. ed. Trad. de H. L. Brose. Nova Iorque, E. P. Dutton, 1931. v.1.

Ter Haar, D. Part I. In: Ter Haar, D. (Ed.). The old quantum theory. Oxford, Pergamon, 1967. p. 3-75.

Ter Haar, D. (Ed.). The old quantum theory. Oxford, Pergamon, 1967.

Van Der Waerden, B. L. Introduction. In: Van Der Waerden, B. L. (Ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967. p. 1-59.

Van Der Waerden, B. L. (Ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967.

Published

2004-06-01

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Artigos

How to Cite

Schola quantorum: progress, rationality and inconsistency in the old atomic theory. Part II: critique of Lakatos’ interpretation . (2004). Scientiae Studia, 2(2), 207-237. https://doi.org/10.1590/S1678-31662004000200004