'No Representation without Information Flow': Measuring Efficacy and Efficiency of Representation: An Information Theoretic Approach

Abstract: Representation is a key concept for semiotics and for information systems. Stamper’s framework may be seen outlining what is required for the efficacy of signs in standing for (i.e., representing) something else in an organization, among many others. We explore how the efficacy and the efficiency of representation may be measured, which seems overlooked in available literature of information systems and organizational semiotics. And we approach this problem from the perspective of what we call the ‘information carrying’ relation between the representation and the represented. We model the represented as an information source and the representation an information carrier, and the ‘representing’ relationship between them as that of ‘information carrying’. That is, information is carried and therefore flows. These then are further modeled mathematically as random variables and random events, and a special relationship between random events. This approach enables us to reveal a necessary condition for the efficacy and the efficiency of representation, and to measure it. To this end we extend Dretske’s semantic theory of information. The conviction that we put forward here is ‘No representation without information flow’, based upon which the efficacy and efficiency of a representation system may be measurable.