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Part of the book series: The University of Western Ontario Series in Philosophy of Science ((WONS,volume 6c))

Abstract

This paper develops the logical interpretation of non-relativistic quantum mechanics initially proposed by Hilary Putnam [11]. (See also [1] and [2].) The main features of this interpretation are briefly summarized in this introduction.

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Bibliography

  1. Bub, J., The Interpretation of Quantum Mechanics, Reidel, 1974.

    Google Scholar 

  2. Bub, J. and Demopoulos, W., ‘The Interpretation of Quantum Mechanics’, in Boston Studies in the Philosophy of Science vol. XIII (ed. by R. S. Cohen and M. J. Wartofsky ), Reidel, 1974.

    Google Scholar 

  3. Finch, P. D., ‘On the Structure of Quantum Logic’, Journal of Symbolic Logic 34 (1969), 275–282.

    Article  Google Scholar 

  4. Friedman, M. and Glymour, C., ‘If Quanta Had Logic’, Journal of Philosophical Logic 1 (1972), 16–28.

    Article  Google Scholar 

  5. Gudder, S., ‘On Hidden-Variable Theories’, Journal of Mathematical Physics 11 (1970), 431–436.

    Article  Google Scholar 

  6. Gudder, S., ‘Partial Algebraic Structures Associated with Orthomodular Posets’, Pacific Journal of Mathematics 41 (1972), 717–730.

    Google Scholar 

  7. Gudder, S. and Schelp, R., ‘Coordinatization of Orthocomplemented and Ortho- modular Posets’, Proceedings of the American Mathematical Society 25 (1970), 229–237.

    Article  Google Scholar 

  8. Kochen, S. and Specker, E. P., ‘Logical Structures Arising in Quantum Theory’, The Theory of Models, 1963 Symposium at Berkeley (compiled by J. Addison et al.), North-Holland, 1965.

    Google Scholar 

  9. Kochen, S. and Specker, E. P., ‘The Problem of Hidden Variables in Quantum Mechanics’, Journal of Mathematics and Mechanics 17 (1967), 59–87.

    Google Scholar 

  10. Maczynski, M. J., ‘Boolean Properties of Observables in Axiomatic Quantum Mechanics’, Reports on Mathematical Physics 2 (1971), 135–150.

    Article  Google Scholar 

  11. Putnam, H., ‘Is Logic Empirical?’, in Boston Studies in the Philosophy of Science, vol. V (ed. by R. S. Cohen and M. J. Wartofsky ), Reidel, 1969.

    Google Scholar 

  12. van Fraassen, B., ‘Semantic Analysis of Quantum Logic’, in Contemporary Research in the Foundations and Philosophy of Quantum Theory (ed. by C. A. Hooker ), Reidel, 1973.

    Google Scholar 

  13. von Neumann, J., Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955.

    Google Scholar 

  14. Wiener, N. and Siegel, A., ‘The Differential-Space Theory of Quantum Systems’, II Nuovo Cimento, supplement to vol II, series X (1955), 982–1003.

    Google Scholar 

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© 1976 D. Reidel Publishing Company, Dordrecht-Holland

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Demopoulos, W. (1976). The Possibility Structure of Physical Systems. In: Harper, W.L., Hooker, C.A. (eds) Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science. The University of Western Ontario Series in Philosophy of Science, vol 6c. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1438-0_4

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  • DOI: https://doi.org/10.1007/978-94-010-1438-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0621-8

  • Online ISBN: 978-94-010-1438-0

  • eBook Packages: Springer Book Archive

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