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Model-Theoretic Investigations into Consequence Operation (Cn) in Quantum Logics: An Algebraic Approach.

WILCZEK, Piotr (2006) Model-Theoretic Investigations into Consequence Operation (Cn) in Quantum Logics: An Algebraic Approach. [Preprint]

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    Abstract

    In this paper, we present the fundamentals of the so-called algebraic approach to propositional quantum logics. We define the set of formulae describing quantum reality as a free algebra freely generated by the set of quantum proportional variables. We define the general notion of logic as a structural consequence operation. Next, we introduce the concept of logical matrices understood as a model of quantum logics.We give the definitions of two quantum consequence operations defined in these models.


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    Item Type: Preprint
    Additional Information: This article was published in International Journal of Theoretic Physics.
    Keywords: algebraic logic; consequence operation; logical matrices; models of qunatum logics.
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Piotr WILCZEK
    Date Deposited: 25 May 2008
    Last Modified: 07 Oct 2010 11:16
    Item ID: 4034
    URI: http://philsci-archive.pitt.edu/id/eprint/4034

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