Basic concepts of multiple-discrete valued logic and decision theory

This paper deals with some of the basic concepts of multiple-discrete, as opposed to continuous, valued logic and its relation to decision theory. In particular attention is focused on three-valued logic. In the hardware or human methods of sorting out three things one actually has to resort to three pairings of binary decision making; one would like to really three-sort without first two-sorting or pairing. Moreover, standard statistical techniques can be extended to proper ternary relations (H0, H1, H2) ∈ ℋ × ℋ × ℋ of hypotheses. An example to which the theory can be applied is the several models originating with Pitts–McCulloch (1947) on the study of redundancy of potential command