Assuming a similar systemic perspective, we have derived learning rule intended to drive a system towards critical points by maintaining an invariant structure of correlations roughly defined by a critical exponent 1/rη. Our approach assumes a different point of view on self-organized criticality, in which the distribution of correlations is not the consequence of criticality in a specific topology but the cause driving an indeterminate topology to what appears to be a critical point. The question now is whether imposing connections derived from a 1/rη function is a strong assumption or implies particularly exigent circumstances. We do not think so, since power law functions can be naturally generated by simple rules of preferential attachment favouring ‘rich-get-richer’ cumulative inequalities31, or directly as a natural consequence of certain geometries of space (e.g. gravitation laws32).