INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
Lógica cuántica, Nmatrices y adecuación, I
Autor/es:
JORGE, JUAN PABLO; HOLIK, FEDERICO
Revista:
Teorema
Editorial:
KRK Ediciones
Referencias:
Año: 2022 vol. XLI
ISSN:
0210-1602
Resumen:
In this paper we discuss the notions of adequacy and truth functionality in quantum logic from the point of view of a non-deterministic semantics. We give a characterization of the degree of non-functionality which is compatible with the propositional structure of quantum theory, showing that having truth-functional connectives, together with some assumptions regarding the relation of logical consequence, commits us to the adequacy of the interpretation sets of these connectives. An advantage of our proof is that it is independent of the number of truth values involved, generalizing previous works. We also show the failure of the adequacy of every Nmatrix that is a model of the non-distributive lattice of quantum propositions.
