Abstract
This paper investigates the kind of empiricism combined with an operationalist perspective that, in the first decades of our Century, gave rise to a turning point in theoretical physics and in probability theory. While quantum mechanics was taking shape, the “classical” (Laplacian) interpretation of probability gave way to two divergent perspectives: frequentism and subjectivism. Frequentism gained wide acceptance among theoretical physicists. Subjectivism, on the other hand, was never held to be a serious candidate for application to physical theories, despite the fact that its philosophical back-ground strongly resembles that underlying quantum mechanics, at least according to the Copenhagen interpretation. The reasons for this are explored.
Similar content being viewed by others
References
Born, M. (1928), On the Meaning of Physical Theories, in Born (1969), pp. 13–30.
Born, M. (1953), Physical Reality,Philosophical Quarterly 3, pp. 139–149.
Born, M. (1955), Statistical Interpretation of Quantum Mechanics,Science 122, 675–679, reprinted in Born (1969), pp. 89–99.
Born, M. (1965a), Symbol and Reality,Universitas 7, 337–353, reprinted in Born (1969), pp. 132–146.
Born, M. (1965b), In Memory of Einstein,Universitas 8, 33–44, reprinted in Born (1969), pp. 155–165.
Born, M. (1969),Physics in my Generation, New York, Springer.
Carnap, R. (1928),Der logische Aufbau der Welt, Berlin, Weltkreis, English translationThe Logical Structure of the World, Berkeley, Univ. of California Press, 1969.
Carnap, R. (1963), Intellectual Autobiography, inThe Philosophy of Rudolf Carnap, ed. by P.A.Schilpp, La Salle, Ill., Open Court, pp. 3–84.
de Finetti, B. (1929), Funzione caratteristica di un fenomeno aleatorio, inAtti del Congresso Internazionale dei matematici, Bologna, Zanichelli, pp. 179–190, reprinted in de Finetti (1981), pp. 97–108.
de Finetti, B. (1931a), Probabilismo,Logos, 163–219, English translation inErkenntnis 31, 1989, 169–223.
deFinetti, B. (1931b), Sul significato soggettivo della probabilità,Fundamenta matematicae 17, 298–329, English translation in de Finetti (1993), pp. 291–321.
deFinetti, B. (1931c), Le leggi differenziali e la rinunzia al determinismo,Rendiconti del Seminario Matematico della R. Università di Roma, 2nd series,7, 63–74, English translation in de Finetti (1993), pp. 323–334.
deFinetti, B. (1936), Statistica e probabilità nella concezione di R. von Mises,Supplemento statistico ai Nuovi problemi di Politica, Storia ed Economia 2, 9–19, English translation in de Finetti (1993), pp. 353–364.
deFinetti, B. (1937), La prévision: ses lois logiques, ses sources subjectives,Annales de l'Institut Henri Poincaré 7, 1–68, English translation in H.E. Kyburg and H.E. Smokler (eds.),Studies in Subjective Probability, New York, Wiley, 1964, pp. 95–158.
deFinetti, B. (1941), Punti di vista: Hans Reichenbach,Statistica 1, 125–133, reprinted in de Finetti (1989), pp. 237–248.
de Finetti, B. (1951), Recent Suggestions for the Reconciliation of Theories of Probability, inProceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, Univ. of California Press, pp. 217–225, reprinted in de Finetti (1993), pp. 375–387.
de Finetti, B. (1971), Probabilità di una teoria e probabilità dei fatti, inStudi di probabilitá, statistica e ricerca operaliva, ed. by G. Pompilj, Gubbio, Oderisi, pp. 86–101.
deFinetti, B. (1972), Subjective or Objective Probability: is the Dispute Undecidable?,Symposia Mathematica 9, 21–36.
deFinetti, B. (1978), Einstein: Originality and Intuition,Scientia 72, 123–128.
deFinetti, B. (1981),Scritti (1926–1930), Padova, CEDAM.
deFinetti, B. (1989),La logica dell'incerto, ed. by M.Mondadori, Milano, Il Saggiatore.
deFinetti, B. (1991),Scritti (1931–1936), Bologna, Pitagora.
deFinetti, B. (1993),Induction and Probability, ed. by P.Monari and D.Cocchi, Bologna, CLUEB (supplement toStatistica 52, 1992, n.3).
vanFraassen, B. (1991),Quantum Mechanics: An Empiricist View, Oxford, Oxford Univ. Press.
Galavotti, M.C. (1989), Anti-realism in the Philosophy of Probability: Bruno de Finetti's Subjectivism,Erkenntnis 31, 239–261.
Galavotti, M.C. (1991), The Notion of Subjective Probability in the Work of Ramsey and de Finetti,Theoria 57, 239–259.
Heisenberg, W. (1925), Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen,Zeitschrift für Physik 33, 879–893, English translation in van der Waerden, ed. (1967), (all page references to the English edition).
Heisenberg, W. (1927), Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik,Zeitschrift für Physik 43, 172–198, English translation in Wheeler and Zurek, eds. (1983), (all page references to the English edition).
Heisenberg, W. (1930),The Physical Principles of Quantum Theory, Univ. of Chicago Press, 2nd edition New York, Dover Publ. Co., 1949 (all page references to the latter edition).
Heisenberg, W. (1955),Das Naturbild der Heutigen Physik, Hamburg, Rowohlt, English translationThe Physicist's Conception of Nature, London, Hutchinson, 1958 (all page references to the latter edition).
Heisenberg, W. (1958),Physics and Philosophy, reprinted London, Penguin Books, 1990 (all page references to the latter edition).
Laplace, P.S. (1814a),Essai philosophique sur les probabilités, Paris.
Laplace, P.S. (1814b),Theorie analytique des probabilités, Paris, 2nd edition.
Margenau, H. and Park, J.L. (1967), Objectivity in Quantum Mechanics, inDelaware Seminar in the Foundations of Physics, ed. by M.Bunge, Berlin, Springer, pp. 161–187.
vonMises, R. (1951),Positivism, Harvard, Harvard Univ. Press, reprinted New York: Dover, 1968 (all page references to the latter edition).
vonMises, R. (1928),Wahrscheinlichkeit, Statistik und Wahrheit, Wien, Springer, English revised editionProbability, Statistics and Truth, New York, Dover, 1957 (all page references to the latter edition)
Pais, A. (1982), Max Born's Statistical Interpretation of Quantum Mechanics,Science 218, 1193–1198.
Ramsey, F.P. (1931),The Foundations of Mathematics and Other Logical Essays, ed. by R.B.Braithwaite, London, Routledge and Kegan Paul.
Ramsey, F.P. (1991),Notes on Philosophy, Probability and Mathematics, ed. by M.C.Galavotti, Naples, Bibliopolis.
Schlick, M. (1917),Raum und Zeit in der Gegenwärtigen Physik, Wien, Springer, English translation 1920, reprinted inPhilosophical Papers, vol. I, ed. by H.L. Mulder and F.B. van de Welde-Schlick, Dordrecht, Reidel, 1979, pp. 207–269.
van derWaerden, B.L. ed. (1967),Sources of Quantum Mechanics, Amsterdam, North-Holland.
Wheeler, J.A. and Zurek, W.H. eds. (1983),Quantum Theory and Measurement, Princeton, Princeton Univ. Press.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Galavotti, M.C. Operationism, probability and quantum mechanics. Found Sci 1, 99–118 (1995). https://doi.org/10.1007/BF00208727
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00208727