Studia Logica 97 (1):101-126 (2011)

Décio Krause
Federal University of Santa Catarina
The literature on quantum logic emphasizes that the algebraic structures involved with orthodox quantum mechanics are non distributive. In this paper we develop a particular algebraic structure, the quasi-lattice (J-lattice), which can be modeled by an algebraic structure built in quasi-set theory Q. This structure is non distributive and involve indiscernible elements. Thus we show that in taking into account indiscernibility as a primitive concept, the quasi-lattice that 'naturally' arises is non distributive
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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DOI 10.1007/s11225-010-9300-4
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References found in this work BETA

Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2002 - Cambridge University Press.
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Studia Logica 76 (1):142-148.
An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Warszawa, Pwn - Polish Scientific Publishers.
Modal Logic.Alexander Chagrov - 1997 - Oxford University Press.

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Citations of this work BETA

Does Newtonian Space Provide Identity to Quantum Systems?Décio Krause - 2019 - Foundations of Science 24 (2):197-215.
A Discussion on Quantum Non-Individuality.Décio Krause & Jonas R. Becker Arenhart - 2012 - Journal of Applied Non-Classical Logics 22 (1-2):105-124.

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