The dynamic turn in quantum logic

Synthese 186 (3):753 - 773 (2012)
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Abstract

In this paper we show how ideas coming from two areas of research in logic can reinforce each other. The first such line of inquiry concerns the "dynamic turn" in logic and especially the formalisms inspired by Propositional Dynamic Logic (PDL); while the second line concerns research into the logical foundations of Quantum Physics, and in particular the area known as Operational Quantum Logic, as developed by Jauch and Piron (Helve Phys Acta 42: 842-848, 1969), Pirón (Foundations of Quantum Physics, 1976). By bringing these areas together we explain the basic ingredients of Dynamic Quantum Logic, a new direction of research in the logical foundations of physics

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Author Profiles

Sonja Smets
University of Amsterdam
Alexandru Baltag
University of Amsterdam

Citations of this work

A Computational Learning Semantics for Inductive Empirical Knowledge.Kevin T. Kelly - 2014 - In Alexandru Baltag & Sonja Smets (eds.), Johan van Benthem on Logic and Information Dynamics. Cham, Switzerland: Springer International Publishing. pp. 289-337.
Tractatus versus Quantum Mechanics.Berislav Žarnić & Lovre de Grisogono - 2015 - In Luka Boršić, Ivana Skuhala Karsman & Franjo Sokolić (eds.), Physics and Philosophy. Institute of Philosophy in Zagreb. pp. 27–44.
Johan van Benthem on Logic and Information Dynamics.Alexandru Baltag & Sonja Smets (eds.) - 2014 - Cham, Switzerland: Springer International Publishing.

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References found in this work

Is Logic Empirical?Hilary Putnam - 1968 - Boston Studies in the Philosophy of Science 5.
Semantic analysis of orthologic.R. I. Goldblatt - 1974 - Journal of Philosophical Logic 3 (1/2):19 - 35.
Quantum logic as a dynamic logic.Alexandru Baltag & Sonja Smets - 2011 - Synthese 179 (2):285 - 306.
Modal Logic.James W. Garson - 2009 - Stanford Encyclopedia of Philosophy.

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