Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T06:57:37.232Z Has data issue: false hasContentIssue false
  • English
  • Français

Itamar Pitowsky's Quantum Probability—Quantum Logic

Published online by Cambridge University Press:  01 April 2022

David B. Malament
David B. Malament*
Affiliation:
Department of Philosophy, University of Chicago
*
‡Send reprint requests to the author, Department of Philosophy, University of Chicago, 1050 East 59th Street, Chicago, IL 60637, USA.
Get access Rights & Permissions [Opens in a new window]

Extract

Itamar Pitowsky's book (1989), published in the Springer-Verlag Lecture Notes in Physics series, brings together several extremely interesting component investigations concerning the foundations of quantum mechanics. All deal with issues of probability including, in one case, the relation of probability to logic. It is a significant contribution, offering both new, nontrivial mathematical results, and provocative philosophical remarks about their significance.

Type
Critical Notice
Information
Philosophy of Science , Volume 59 , Issue 2 , June 1992 , pp. 300 - 320
Copyright
Copyright © Philosophy of Science Association 1992

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.)

Footnotes

†

This article was written, in part, while I was a Fellow at the Center for Advanced Study in the Behavioral Sciences. I am grateful for financial support provided by the National Science Foundation (#BNS87-00864) and the University of Chicago. I am also grateful to Jeremy Butterfield, William Demopoulos, Geoffrey Hellman, Itamar Pitowsky, Abner Shimony, Howard Stein, and Patrick Suppes for comments on an earlier draft.

References

Bell, J. S. (1964), “On the Einstein-Podolsky-Rosen Paradox”, Physics 1: 195–200.CrossRefGoogle Scholar
Clauser, J. F. and Horne, M. A. (1974), “Experimental Consequences of Objective Local Theories”, Physical Review 10D: 526–535.Google Scholar
Fine, A. (1982a), “Hidden Variables, Joint Probability, and the Bell Inequalities”, Physical Review Letters 48: 291–295.CrossRefGoogle Scholar
Fine, A. (1982b), “Joint Distributions, Quantum Correlations, and Commuting Observables”, Journal of Mathematical Physics 23: 1306–1310.CrossRefGoogle Scholar
Macdonald, A. L. (1982), “Comment on ‘Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes‘”, Physical Review Letters 49: 1215.CrossRefGoogle Scholar
Mermin, N. D. (1982), “Comment on ‘Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes‘”, Physical Review Letters 49: 1214.CrossRefGoogle Scholar
Pitowsky, I. (1982), “Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes”, Physical Review Letters 48: 1299–1302.CrossRefGoogle Scholar
Pitowsky, I. (1983), “Deterministic Model of Spin and Statistics”, Physical Review 27D: 2316–2326.Google Scholar
Pitowsky, I. (1989), Quantum Probability—Quantum Logic. Berlin: Springer-Verlag.Google Scholar