Abstract
In studying the problem of interaction between subjects, an approach which allows us to define in an unambiguous way the concepts of symmetrical, complementary and parallel interaction is proposed. This approach makes use of a point of view within which it is possible to develop a rational model based only on some fundamental elements of set theory and mathematical logic
The model allows us to develop a probabilistic theory of change, the representation basis of which is furnished by the 16 basic set functions. The functions represent operations on two partially overlapping sets, which will be called the “worlds”, of interacting subjects.. Both an interaction test that allows a “measure” of the relation parameters and the preliminary results of a dyadic interaction experiment are presented
Some remarks can be made from the results of the present experiment and from other similar ones. Among these there are evidences that the symmetrical, complementary and parallel classes of interactions belong to the same logical level and represent only some possible interaction classes.