The Quasi-lattice of Indiscernible Elements

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 I-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.

• Type: Journal
• Year: 2011
• Where: SLOGICA
• Authors: Mauri Cunha do Nascimento, Décio Krause, Hércules A. Feitosa
• Keywords: Algebraic Structure, Non Distributive, Particular Algebraic Structure, SLOGICA 2011, Software Engineering