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  1. How Does Quantum Logic Correspond to Physical Reality?Ernst-Walther Stachow - 1977 - Journal of Philosophical Logic 6 (1):485 - 496.
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  • Basis Logic for Application in Physics and Its Intuitionistic Alternative.Paul Weingartner - 2010 - Foundations of Physics 40 (9-10):1578-1596.
    This article proposes a basic logic for application in physics dispensing with the Principle of Excluded Middle. It is based on the article “Matrix Based Logics for Application in Physics (RMQ) which appeared 2009. In his article with Stachow on the Principle of Excluded Middle in Quantum Logic (QL), Peter Mittelstaedt showed that for some suitable QLs, including their own, the Principle of Excluded Middle can be added without any harm for QL; where ‘without any harm for QL’ means that (...)
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  • Quantum Logical Calculi and Lattice Structures.E. -W. Stachow - 1978 - Journal of Philosophical Logic 7 (1):347 - 386.
    In a preceding paper [1] it was shown that quantum logic, given by the tableaux-calculus Teff, is complete and consistent with respect to the dialogic foundation of logics. Since in formal dialogs the special property of the 'value-definiteness' of propositions is not postulated, the calculus $T_{eff}$ represents a calculus of effective (intuitionistic) quantum logic. Beginning with the tableaux-calculus the equivalence of $T_{eff}$ to calculi which use more familiar figures such as sequents and implications can be investigated. In this paper we (...)
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