Abstract
Putnam gives a strongly realist account of quantum logic. This has been criticised as suggesting a hidden variable interpretation for quantum mechanics. Friedman and Glymour have done this in the framework of noncontextual hidden variable theories, which, however, does not fully represent Putnam's ideas. Here Putnam's approach to quantum logic is understood in terms of contextual truth-value assignments. The concept of a measurement is discussed. It follows that in order to reproduce quantum mechanical predictions a kind of disturbance is necessary, which is then analyzed. Finally, it is shown that the Putnam approach does not escape proofs of nonlocality, and thus shares, indeed, the unwelcome features of a hidden variable theory.
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References
Friedman, M., and Glymour, C. (1972). If quanta had logic,Journal of Philosophical Logic,1, 16–28.
Friedman, M., and Putnam, H. (1978). Quantum logic, conditional probability, and interference,Dialectica,32, 305–315.
Heywood, P., and Redhead, M. L. G. (1983). Nonlocality and the Kochen-Specker paradox,Foundations of Physics,13, 481–499.
Hooker, C. A., ed. (1975).The Logico-Algebraic Approach to Quantum Mechanics. Volume I: Historical Evolution, Reidel, Dordrecht.
Jauch, J. M., and Piron, C. (1969). On the structure of quantal proposition systems,Helvetica Physica Acta,43, 842–848.
Kochen, S., and Specker, E. P. (1967). The problem of hidden variables in quantum mechanics,Journal of Mathematics and Mechanics,17, 59–88.
Putnam, H. (1968). Is logic empirical? inBoston Studies in the Philosophy of Science, R. Cohen and M. Wartofsky, eds., Reidel, Dordrecht, Vol. 5, pp. 216–241.
Putnam, H. (1974). How to think quantum-logically,Synthese,29, 55–61.
Putnam, H. (1975). The logic of quantum mechanics, in H. Putnam,Mathematics, Matter, and Method. Philosophical Papers, Vol. I, Cambridge University Press, Cambridge, pp. 174–197.
Putnam, H. (1976). How to think quantum-logically, inLogic and Probability in Quantum Mechanics, P. Suppes, ed., Reidel, Dordrecht, pp. 47–53.
Putnam, H. (1981). Quantum mechanics and the observer,Erkenntnis,16, 193–219.
Putnam, H. (1994). Michael Redhead on quantum logic, inReading Putnam, P. Clark and R. Hale, eds., Blackwell, Oxford.
Redhead, M. L. G. (1987).Incompleteness, Nonlocality and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics, Clarendon Press, Oxford.
Shimony, A. (1984). Contextual hidden variables theories and Bell's inequalities,British Journal for the Philosophy of Science,35, 25–45.
Shimony, A. (1986). Events and processes in the quantum world, inQuantum Concepts in Space and Time, R. Penrose and C. J. Isham, eds., Clarendon Press, Oxford, pp. 182–203.
Stairs, A. (1983). Quantum logic, realism, and value-definiteness,Philosophy of Science,50, 578–602.
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Bacciagaluppi, G. Critique of Putnam's quantum logic. Int J Theor Phys 32, 1835–1846 (1993). https://doi.org/10.1007/BF00979504
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DOI: https://doi.org/10.1007/BF00979504