Abstract
An abstract investigation about quantum histories naturally meets ideas that have been developed in the framework of dynamic logic [5], where possible relations between truths and actions are studied. The aim of this paper is to investigate a general semantic framework that admits of a number of possible applications. A particular case will be represented by quantum histories ([6], [4]).
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Bibliography
M. L. Dalla Chiara and R. Giuntini, “Unsharp quantum logics”, Foundations of Physics, 24 (1994), 1161–1177.
M. L. Dalla Chiara and R. Giuntini, “A fuzzy dynamic semantics for quantum histories”, preprint.
A. Dvurecenskij, “Tensor product of difference posets”, Transactions of the American Mathematical Society, 347 (1995), 1043–1057.
M. Gell-Mann and J. Hartle, “Alternative decohering histories in quantum mechanics”, in K. K. Phua and Y. Yamaguchi (eds.), Proceedings of the 25th International Conference on High Energy Physics, World Scientific, Singapore, 1990.
D. Hard, “Dynamic logic”, in D. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, III, Kluwer, Dordrecht, 1984.
C. J. Isham, “Quantum logic and the histories approach to quantum theory”, Journal of Mathematical Physics, 35 (1994), 2157–2185.
C. J. Isham and N. Linden, “Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory”, Journal of Mathematical Physics, 35 (1994), 5452–5475.
P. Mittelstaedt, “Relativistic quantum logic”, International Journal of Theoretical Physics, 22 (1983), 293–314.
P. Mittelstaedt and E. W. Stachow, “Analysis of the EPR-experiment by relativistic quantum logic”, International Journal of Theoretical Physics, 22 (1983), 517–540.
R. Omnès, The Interpretation of Quantum Mechanics, Princeton University Press, 1994.
B. Penther, “A dynamic logic of action”, Journal of Logic, Language, and Information, 3 (1994), 169–210.
S. Pulmannovâ, “Difference posets and the histories approach to quantum theories”, preprint.
G. von Wright, “The logic of action”, in N. Rescher (ed.), The Logic of Action and Decision, University of Pittsburgh Press, 1967.
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© 1999 Springer Science+Business Media Dordrecht
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Chiara, M.L.D., Giuntini, R. (1999). Dynamic Ideas in Quantum Logic. In: Egidi, R. (eds) In Search of a New Humanism. Synthese Library, vol 282. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1852-3_20
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DOI: https://doi.org/10.1007/978-94-017-1852-3_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5260-5
Online ISBN: 978-94-017-1852-3
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