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The Labyrinth of Quantum Logics

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Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 13))

Abstract

The conceptual structure of the new quantum theory is in some respects so different from that of classical physics that it has from the very beginning suggested radical departures in philosophy and logic. Specifically, a number of writers have considered non-standard systems of logic in connection with quantum mechanics (see bibliography). Two main directions may be discerned, initiated by Reichenbach, and by Birkhoff and von Neumann. The aim of the present paper is first to present a unified exposition of the main systems found in the literature, and second to discuss and evaluate the main logical and philosophical theses and arguments which have concerned the subject of quantum logic.

Presented at the Philosophy of Sciences Association First Biennial Meeting, Pittsburgh, October 1968. The research for this paper was supported by NSF grant GS-1566.

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© 1974 D. Reidel Publishing Company, Dordrecht, Holland

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Van Fraassen, B.C. (1974). The Labyrinth of Quantum Logics. In: Cohen, R.S., Wartofsky, M.W. (eds) Logical and Epistemological Studies in Contemporary Physics. Boston Studies in the Philosophy of Science, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2656-7_8

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  • DOI: https://doi.org/10.1007/978-94-010-2656-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0377-4

  • Online ISBN: 978-94-010-2656-7

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