Defining systems based on information exchange: structure from dynamics

We take the occasion of the workshop to examine a proposition that systems may be better defined in terms of interactions based on information exchange rather than on atomic elements. Although speculative, the paper is in the spirit of exploration within a workshop atmosphere. It is enough for us that the interactions be perceived to exist. On this basis, components become interactors, which signal each other through the exchange of information mediated by some interaction mechanism. At a minimum, interactions need only be imputed. Consequences for the appropriate definition of a system parameter based on our position are examined. Possible mathematical avenues are introduced. In the process, a connection with belief systems is explored.