Abstract
Propensities are presented as a generalization of classical determinism. They describe a physical reality intermediary between Laplacian determinism and pure randomness, such as in quantum mechanics. They are characterized by the fact that their values are determined by the collection of all actual properties. It is argued that they do not satisfy Kolmogorov axioms; other axioms are proposed.
Similar content being viewed by others
References
Aerts, D.: 1981, The One and the Many, Ph.D. thesis, Vrije Universiteit Brussel, TENA.
Aerts, D.: 1982, ‘Description of Many Separated Physical Entities without the Paradoxes Encountered in Quantum Mechanics’, Found. Phys. 12, 1131–40.
Anderson, J.: 1979, ‘Extensions, Restrictions, and Representations of States on C*-algebras’, Trans. Amer. Math. Soc. 249, 303–29.
Aspect, A., J. Dalibard, and G. Roger: 1982, ‘Experimental Tests of Bell's Inequalities using Time Varying Analyzers’, Phys. Rev. Lett. 49, 1804–07.
Bell, J. S.: 1966, Review of ‘On the Problem of Hidden Variables in Quantum Mechanics’, Mod. Phys. 38, 447–52.
Clauser, J. F. and A. Shimony: 1978, ‘Bell's Theorem: Experimental Tests and Implications’, Rep. Prog. Phys. 41, 1881–927.
Einstein, A., B. Podolsky, and N. Rosen: 1935, ‘Can Quantum Mechanical Description of Physical Reality be Considered Complete?’, Phys. Rev. 47, 777–80.
Gisin, N.: 1984, ‘Propensities and the State-property Structure of Classical and Quantum Systems’, J. Math. Phys. 25, 2260–65.
Giere, R.: 1973, ‘Objective Single Case Probabilities and the Foundations of Statistics’, in P. Suppes et al. (eds.), Logic, Methodology, and Philosophy of Science, Vol. 4, North-Holland, Amsterdam, pp. 467–83.
Gillies, D. A.: 1973, An Objective Theory of Probability, Methuen & Co. Ltd., London.
Gleason, A. M.: 1957, ‘Measures on the Closed Subspaces of a Hilbert Space’, J. Math. Mech. 6, 885–93.
Mellor, D. H.: 1971, The Matter of Chance, Cambridge University Press, Cambridge.
Piron, C.: 1976, Foundations of Quantum Physics, Benjamin, Reading MA.
Piron, C.: 1983, ‘New Quantum Mechanics’, in A. Van Der Merwe (ed.), Old and New Questions in Physics, Cosmology, Philosophy and Theoretical Biology, Plenum Publishing, New York, pp. 345–61.
Popper, K. R.: 1959, ‘The Propensity Interpretation of Probability’, British J. Philos. Science 10, 25–43.
Primas, H.: 1983, Chemistry, Quantum Mechanics and Reductionism, Springer, Berlin.
Author information
Authors and Affiliations
Additional information
It is a pleasure to thank Professors Abner Shimony and David Scharf for their criticisms and comments about the manuscript.
Rights and permissions
About this article
Cite this article
Gisin, N. Propensities in a non-deterministic physics. Synthese 89, 287–297 (1991). https://doi.org/10.1007/BF00413910
Issue Date:
DOI: https://doi.org/10.1007/BF00413910