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SYNTHESE
2011

Quantum logic as a dynamic logic

9 years 1 months ago
Quantum logic as a dynamic logic
We address the old question whether a logical understanding of Quantum Mechanics requires abandoning some of the principles of classical logic. Against Putnam and others1 , our answer is a clear “no”. Philosophically, our argument is based on combining a formal semantic approach, in the spirit of E. W. Beth’s proposal of applying Tarski’s semantical methods to the analysis of physical theories, with an empirical-experimental approach to Logic, as advocated by both Beth and Putnam, but understood by us in the view of the operational-realistic tradition of Jauch and Piron, i.e. as an investigation of “the logic of yes-no experiments” (or “questions”). Technically, we use the recently-developed setting of Quantum Dynamic Logic [4, 6] to make explicit the operational meaning of quantum-mechanical concepts in our formal semantics. Based on our recent results [4], we show that the correct interpretation of quantum-logical connectives is dynamical, rather than purely proposit...
Alexandru Baltag, Sonja Smets
Added 15 May 2011
Updated 15 May 2011
Type Journal
Year 2011
Where SYNTHESE
Authors Alexandru Baltag, Sonja Smets
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