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Logic and Logical Philosophy

In defense of operational quantum logic
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In defense of operational quantum logic

Authors

  • Sonja Smets Free University of Brussels

DOI:

https://doi.org/10.12775/LLP.2003.010

Abstract

In the literature the work of C. Piron on OQL, “the operational quantum logic of the Geneva School”, has a few times been criticised. Those criticisms were often due to misunderstandings, as has already been pointed out in [19]. In this paper we follow the line of defense in favour of OQL by replying to the criticisms formulated some time ago in [4] and [17]. In order for the reader to follow our argumentation, we briefly analyze the basic conceptual machinery of OQL.

Author Biography

Sonja Smets, Free University of Brussels

Center for Logic and Philosophy of Science

References

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Aerts, D., ‘The Description of One and Many Physical Systems’ in C. Gruber, C. Piron, T.M. Tˆam, R. Weill (eds.), Les fondements de la m´ecanique quantique, 25e cours de perfectionnement de l’Association Vaudoise des Chercheurs en Physique Montana, du 6 au 12 mars 1983, l’A.V.C.P., Lausanne, 1983, pp. 63–148.

Aerts, D., B. Coecke, and S. Smets, ‘On the Origin of Probabilities in Quantum Mechanics: Creative and Contextual Aspects’, in G.C. Cornelis, S. Smets and J.P. Van Bendegem (eds.), Metadebates on Science, The Blue Book of ‘Einstein Meets Magritte’, VUB University Press/Kluwer Academic Publishers, Brussels/Dordrecht, 1999, pp. 291-302.

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Coecke, B., D. J. Moore, and S. Smets, ‘From Operationality to Logicality: Philosophical and Formal Preliminaries’, submitted for publication.

Coecke, B., D. J. Moore, and S. Smets, ‘From Operationality to Logicality: Syntax and Semantics’, submitted for publication.

Coecke, B., D. J. Moore, and S. Smets, ‘Logic of Dynamics & Dynamics of Logic; Some Paradigm Examples’, in D. Gabbay, S. Rahman, J.M. Torres, and J.P. Van Bendegem, (eds.), Logic, Epistemology and the Unity of Science, to appear, arXiv: math.LO/0106059.

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Coecke, B., and S. Smets, ‘A Logical Description for PerfectMeasurements’, International Journal of Theoretical Physics 39 (2000), 591–599, arXiv:quantph/0008017.

Coecke, B., and S. Smets, ‘The Sasaki Hook is not a [Static] Implicative Connective but Induces a Backward [in Time] Dynamic One that Assigns Causes’, submitted for publication, arXiv:quant-ph/0111076.

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Smets, S., ‘The Epistemology behind Operational Quantum Logic’, Foundations of Science, submitted for publication, 2002.

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Logic and Logical Philosophy

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Published

2003-11-23

How to Cite

1.
SMETS, Sonja. In defense of operational quantum logic. Logic and Logical Philosophy. Online. 23 November 2003. No. 11-12, pp. 191-212. [Accessed 1 July 2025]. DOI 10.12775/LLP.2003.010.
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