Unlimited Semiosis and the Emergence of Self-organized Attraction Basins

Abstract

The aim of the following work is to show how using a recently proposed stochastic dynamics, which is a mix of two different mechanism acting at different scales. Those are the Langevin and Fokker- Planck formalism. The first one has to do with the microscopic dynamics of the process, while the second one is related to the evolution of the one-time probability equation of it. Using these, one can argues in favor of ambiguity in the interpretative process of texts and the mechanisms that can lead to the detainment of so-called unlimited semiosis. The dynamics of the process is modeled via a stochastic differential equation with an explicit fluctuation term. We use for simplicity, without loosing generality, a white uncorrelated Gaussian noise. Next, we use, a potential term which formally is proportional to the probability created by the stochastic realization, i.e. change in time due to the stochastic process. The results clearly show how this mechanism, allow for a quantitative understanding of a phenomena that is traditionally studied in a qualitative fashion, due to a self-generated basin of attraction created by the proposed mechanism. As can be seen, our approach to the problem can serve in other contexts, since the basic idea can be applied to systems that process information, and resulting conclusions can be applied to texts, works of art, oral messages, and any signs in general to be interpreted. The method shown in this work introduces a novel formalism, and allows using previous knowledge to interpret new incoming information.