Abstract
In content this note follows the work [5]. Like the latter, this note was inspired by Birkhoff and von Neumann’s investigations of the propositional calculus in quantum theory [2], [6].
Communicated by W. Maak at the Meeting of February 21, 1964.
The University of Western Ontario, I should like to thank Prof. W. Demopoulos and Prof. C. A. Hooker for directing my attention to this paper.
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Bibliography
Birkhoff, G.: ‘Lattice Theory’, Amer. Math. Soc. Coll. Publ. XXV (rev. Ed.), 1961.
Birkhoff, G. and von Neumann, J.: ‘The Logic of Quantum Mechanics’, Ann. of Math. 37 (1936), 823.
Gleason, A. M.: ‘Measures on the Closed Subspaces of a Hilbert-Space’, Journ. of Math, and Mech. 6 No. 6 (1957).
Jauch, J. M. and Piron, C.: ‘Can Hidden Variables be Excluded in Quantum Mechanics?’, Helv. Phys. Acta 36 (1963), 827.
Kamber, F.: ‘2-wertige Wahrscheinlichkeitsfunktionen auf orthokomplementären Verbänden’, Diss., Universität Zürich (1963), see also Math. Annalen 158 (1965), 158.
von Neumann, J.: ‘Mathematische Grundlagen der Quantenmechanik’, Grundlehren Math. Wiss. XXXVIII, Springer 1932.
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© 1975 D. Reidel Publishing Company, Dordrecht, Holland
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Kamber, F. (1975). The Structure of the Propositional Calculus of a Physical Theory. In: Hooker, C.A. (eds) The Logico-Algebraic Approach to Quantum Mechanics. The University of Western Ontario Series in Philosophy of Science, vol 5a. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1795-4_13
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