Unified Interpretation of Quantum and Classical Logics

Axiomathes (1):1-7 (2012)
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Abstract

Quantum logic is only applicable to microscopic phenomena while classical logic is exclusively used for everyday reasoning, including mathematics. It is shown that both logics are unified in the framework of modal interpretation. This proposed method deals with classical propositions as latently modalized propositions in the sense that they exhibit manifest modalities to form quantum logic only when interacting with other classical subsystems

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References found in this work

A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
The structure and interpretation of quantum mechanics.R. I. G. Hughes - 1989 - Cambridge: Harvard University Press.
A New Introduction to Modal Logic.G. E. Hughes & M. J. Cresswell - 1996 - Studia Logica 62 (3):439-441.
The Structure and Interpretation of Quantum Mechanics.R. I. G. Hughes - 1992 - Tijdschrift Voor Filosofie 54 (4):735-736.
The conditional in quantum logic.Gary M. Hardegree - 1974 - Synthese 29 (1-4):63 - 80.

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