This is a preview of subscription content, log in via an institution to check access.
References
Araki, H. and Yanase, M., ‘Measurement of Quantum Mechanical Operators’, Physical Review 120 (1961), 622–626.
Ballentine, J. E., ‘The Statistical Interpretation of Quantum Mechanics’, Reviews of Modern Physics 42 (1970), 358–381.
Bell, J. S., ‘On the Einstein-Podolsky-Rosen Paradox’, Physics 1 (1964), 195–200.
Bell, J. S., ‘On the Problem of Hidden Variables in Quantum Mechanics’, Reviews of Modern Physics 38 (1966), 447–475.
Bell, J. S., ‘Introduction to the Hidden Variable Question’, in B. d'Espagnat (ed.), Foundations of Quantum Mechanics, Academic Press, New York, 1971.
Bub, J., ‘On the Possibility of a Phase-Space Reconstruction of Quantum Statistics: A Refutation of the Bell-Wigner Locality Argument’, Foundations of Physics 3 (1973), 29–44.
Cohen, L., ‘Can Quantum Mechanics Be Formulated as a Classical Probability Theory’, Philosophy of Science 33 (1966), 317–322.
Einstein, A., Podolsky, B., and Rosen, N., ‘Can Quantum Mechanical Description of Physical Reality Be Considered Complete’, Physical Review 47 (1935), 770–780.
Fine, A., ‘Logic, Probability and Quantum Theory’, Philosophy of Science 35 (1968), 101–111.
Fine, A., ‘On the General Quantum Theory of Measurement’, Proceedings of the Cambridge Philosophical Society 65 (1969), 111–122.
Fine, A., ‘Probability and the Interpretation of Quantum Mechanics’, British Journal for the Philosophy of Science 24 (1973), 1–37.
Gleason, A. M., ‘Measures on the Closed Subspaces of a Hilbert Space’, Journal of Mathematics and Mechanics 6 (1957), 885–893.
Kochen, S. and Specker, E., ‘The Problem of Hidden Variables in Quantum Mechanics’, Journal of Mathematics and Mechanics 17 (1967), 59–87.
Landau, L. and Peierls, R., ‘Erweiterung des Unbestimmtheitsprinzips für die relativistische Quantentheorie’, Zeitschrift für Physik 69 (1931), 56–69.
Margenau, H., ‘Measurements and Quantum States’, I and II, Philosophy of Science 30 (1963), 1–16, 138–157.
Nelson, E., Dynamical Theories of Brownian Motion, Princeton University Press, Princeton, 1967.
Pauli, W., ‘Prinzipien der Quantentheorie’, in S. Flügge (ed.), Handbuch der Physick, Vol. 5, Springer, Berlin, 1958.
Schrödinger, B., ‘Die gegenwärtige Situation in der Quantenmechanik’, Naturwissenschaften 23 (1935), 807–812, 823–838, 844–849.
Shimony, A., ‘The Status of Hidden Variable Theories’, in P. Suppes, L. Henkin, Gr. C. Moisil, and A. Joja (eds.), Logic, Methodology and Philosophy of Science IV, North-Holland, Amsterdam, 1973.
Sneed, J., ‘Von Neumann's Argument for the Projection Postulate’, Philosophy of Science 33 (1966), 22–39.
Stapp, H. P., ‘The Copenhagen Interpretation’, American Journal of Physics 40 (1972), 1098–1116.
Stapp, H. P., ‘S-Matrix Interpretation of Quantum Theory’, Physical Review D3 (1971), 1303–1320.
van Fraassen, B., ‘The Einstein-Podolsky-Rosen Paradox’, this volume, p. 291.
von Neumann, J., Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, 1955. (Translated by R. T. Beyer.)
Wigner, E. P., ‘Die Messung quantenmechanischer Operatoren’, Zeitschrift für Physik 133 (1952), 101–108.
Wigner, E. P., ‘On Hidden Variables and Quantum Mechanical Probabilities’, American Journal of Physics 38 (1970), 1005–1009.
Author information
Authors and Affiliations
Additional information
Work on this essay was supported in part by National Science Foundation Grant No. GS-3780. I want to thank the members of an informal discussion group on quantum mechanics that combined people from Chicago Circle and the University of Chicago and where some of the results here were first presented. Especially, I thank David Bantz, Phil Ehrlich, Neal Grossman, Roger Jones, Paul Teller, and Brain Skyrms. Their stubborn disbelief made me get things really straight, I think.
Rights and permissions
About this article
Cite this article
Fine, A. On the completeness of quantum theory. Synthese 29, 257–289 (1974). https://doi.org/10.1007/BF00484961
Issue Date:
DOI: https://doi.org/10.1007/BF00484961