Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-22T23:24:15.785Z Has data issue: false hasContentIssue false

Discussion: Quantum Logic and The Lüders Rule

Published online by Cambridge University Press:  01 April 2022

Allen Stairs*
Affiliation:
Department of Philosophy, University of Maryland

Abstract

In a recent paper, Michael Friedman and Hilary Putnam argued that the Lüders rule is ad hoc from the point of view of the Copenhagen interpretation but that it receives a natural explanation within realist quantum logic as a probability conditionalization rule. Geoffrey Hellman maintains that quantum logic cannot give a non-circular explanation of the rule, while Jeffrey Bub argues that the rule is not ad hoc within the Copenhagen interpretation. As I see it, all four are wrong. Given that there is to be a projection postulate, there are at least two natural arguments which the Copenhagen advocate can offer on behalf of the Lüders rule, contrary to Friedman and Putnam. However, the argument which Bub offers is not a good one. At the same time, contrary to Hellman, quantum logic really does provide an explanation of the Lüders rule, and one which is superior to that of the Copenhagen account, since it provides an understanding of why there should be a projection postulate at all.

Type
Discussion
Copyright
Copyright © Philosophy of Science Association 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bub, J. (1979), The Interpretation of Quantum Mechanics. Dordrecht: Reidel.Google Scholar
Bub, J. (1979), “The Measurement Problem in Quantum Mechanics”, Proceedings of the International School of Physics “Enrico Fermi”, G. Toraldo di Francia (ed.) Amsterdam: North Holland: 71-121.Google Scholar
Demopoulos, W. (1976), “The Possibility Structures of Physical Systems”, Foundations of Probability Theory. Statistical Inference and Statistical Theories of Science (University of Western Ontario Series in Philosophy of Science, V. 3) Harper, W. L. and Hooker, C. A. (eds.) Dordrecht: Reidel.Google Scholar
Friedman, M. and Putnam, H. (1978), “Quantum Logic. Conditional Probability and Interference”, Dialectica 32, 3-4: 305-315.CrossRefGoogle Scholar
Hellman, G. (1980), “Quantum Logic and Meaning”, Philosophy of Science Association Proceedings, Vol. II, P. D. Asquith and R. N. Giere (eds.) East Lansing, MI: PSA.Google Scholar
Hellman, G. (1981), “Quantum Logic and the Projection Postulate”, Philosophy of Science 48, 3: 469-486.CrossRefGoogle Scholar
Stairs, A. (1978), Quantum Mechanics. Logic and Reality. Ph.D. Dissertation, London, Ontario: University of Western Ontario.Google Scholar