Binary operators and connective rules

The main aim of this paper is to point out that a connective rule should be understood as a consistent family of connectives, in such a way that given any finite sequence of values we can evaluate its connective value. A connective rule is what we really need in practice, not a single connective operator. Only in some few cases we can characterize such a connective rule by means of a unique (associative) binary connective operator.