The Quasi-lattice of Indiscernible Elements
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Data
2011-02-01
Autores
Nascimento, Mauri Cunha do [UNESP]
Krause, Decio
Feitosa, Hércules de Araujo [UNESP]
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Editor
Springer
Resumo
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 sic. 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.
Descrição
Palavras-chave
lattice of indiscernibles, quasi-sets, quantum logic
Como citar
Studia Logica. New York: Springer, v. 97, n. 1, p. 101-126, 2011.