3-VALUED DERIVED LOGICS FOR CLASSICAL PHASE SPACES

Reichenbach proposed a three-valued logic to describe quantum mechanic s. In his development, Reichenbach presented three different ''negatio n'' operators without providing any criteria for choosing among them. In this paper we develop two three-valued derived logics for classical systems. These logics are derived in that they are based on a theory of physical measurement. In this regard they have some of the characte ristics of the quantum logic developed by Birkhoff and von Neumann. Th e theory of measurement used in the present development is the one use d previously in developing bivalent derived logics for classical syste ms. As these systems are derived logics, many of the ambiguities posse ssed by systems such as Reichenbach's are avoided.