INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
Lógica cuántica, Nmatrices y adecuación, II
Autor/es:
JORGE, JUAN PABLO; HOLIK, FEDERICO
Revista:
Teorema
Editorial:
KRK Ediciones
Referencias:
Año: 2023 vol. 42 p. 149 - 169
ISSN:
0210-1602
Resumen:
By elaborating on the results presented in Lógica cuántica, Nmatrices y adecuación I, here we discuss the notions of adequacy and truth functionality in quantum logic from thepoint of view of a non-deterministic semantics based on Nmatrices. We present a proof of the impossibility of providing a functional semantics for the quantum lattice. An advantage of our proof is that it is independent of the number of truth values involved, generalizing previous works. Due to the impossibility of defining adequate interpreting sets for the conjunction and disjunction (as was shown in our previous work), it follows that a homomorphism between the lattice of quantum projections and a Boolean algebra of n-elements cannot exist.
