David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Philosophy of Science 30 (2):138-157 (1963)
This is the second, mathematically more detailed part of a paper consisting of two articles, the first having appeared in the immediately preceding issue of this Journal. It shows that a measurement converts a pure case into a mixture with reducible probabilities. The measurement as such permits no inference whatever as to the state of the physical system subjected to measurement after the measurement has been performed. But because the probabilities after the act are classical and therefore reducible, it is often possible to adjust them so that Von Neumann's projection postulate is true. Among the more specific features dealt with in Part II is the occurrence of negative joint probabilities for the measurement of non-commuting operators in certain (not all!) quantum states. The general conclusions reached are stated at the end of the article
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Citations of this work BETA
George N. Hatsopoulos & Elias P. Gyftopoulos (1976). A Unified Quantum Theory of Mechanics and Thermodynamics. Part III. Irreducible Quantal Dispersions. Foundations of Physics 6 (5):561-570.
Arthur Fine (1974). On the Completeness of Quantum Theory. Synthese 29 (1-4):257 - 289.
Richard Schlegel (1970). Statistical Explanation in Physics: The Copenhagen Interpretation. Synthese 21 (1):65 - 82.
T. E. Phipps (1969). The Relativity of Physical Size. Dialectica 23 (3‐4):189-215.
Fred Kronz (2007). Non-Monotonic Probability Theory and Photon Polarization. Journal of Philosophical Logic 36 (4):449-472.
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