Otro
The Quasi-lattice of Indiscernible Elements
Registro en:
Studia Logica. New York: Springer, v. 97, n. 1, p. 101-126, 2011.
0039-3215
10.1007/s11225-010-9300-4
WOS:000309052600006
Autor
Nascimento, Mauri Cunha do
Krause, Decio
Feitosa, Hércules de Araujo
Resumen
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. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)