Tangled Hierarchies and Resonant Phase Spaces for Intelligent Systems

This paper takes Denizhan’s cybernetic definition of intelligence as a “border activity between the modelled and unmodelled” as a basis to present the case that a system which relates to a particular kind of phase space, called resonant phase space, is fundamentally crucial for an intelligent border activity to manifest as a phenomenon. The thrust of the argument comes from the Hofstadter’s concept of “tangled hierarchies” and “strange loops.” The argument follows the theoretical lineages of second-order cybernetics, dynamic systems theory, and Rosennean complexity theory. The corollary of the statement is that intelligence, as Denizhan understands it, is computationally intractable in an ontology of algorithmic systems because of static phase space.