We are, each of us, a system. We are, each of us, systems in multitudes

We are, each of us, a system. We are, each of us, systems in multitudes. We are both at the same time. We are ourselves, as systems, of the same nature as those systems manifested within the world to both our senses and mind continuing the discussion from the previous post and Still Learning to Understand Systems. Separated, from all that we are not without, and from what we are within, as well as between other systems by boundaries that are placed there by us.

The most determinative means, it seems to me, but with the least amount of information of assigning a boundary to a system is to give it a label. Buckminster Fuller’s definition of a system as “the first subdivision of universe into a conceivable entity” provides an important initial context without particularities.  

Russell Ackoff, whose focus on systems was in addressing practical, real-world messes, the kind raised by uncertainty and complexity, said that any particular or specific system could be characterized by three essential conditions which I could also see as being able to assist in establishing the boundary of a system as defined by Fuller.

First, each simple element in a system has an effect on the behavior of the whole system. If it doesn’t have such an effect then it’s not part of the system and belongs outside the boundary. Second, within a system each element is affected by at least one other element in that system, and that none of the elements has an independent effect on the whole. Every element then has an effect on some other element or elements in the system and only has such an effect on the whole in conjunction with some other element or elements.  Third, it is not possible to develop totally independent subsystems from a subgrouping of a system’s elements. Any subsystems within a system that can be made totally independent belong on the outside of the system. It will likely take some experimenting to determine which elements fulfill all three categories. This still leaves a potentially large portion of elements that can be placed on either side of a boundary depending upon how it or they are defined but it is then a matter of consensus or coercion, both of which, again in my view, can be detrimental to understanding a system.

Fuller’s definition, however, is not merely an esoteric abstraction but can provide an immediate, visual illustration of the boundaries of a three-tier hierarchy anchored in geometry. 

The simplest possible three-dimensional configuration or minimum set of relations representing a stable structure (which can also be fractalized) within the “real world” is a tetrahedron, a four-sided, triangular-faced pyramid having four vertices, four faces, and six edges subdividing the world into all that is outside the system’s structure (environment), the structure of the system itself (system), and the system’s interior (bounded elements and connections) having profound, practical implications for all system designers. 

Fuller’s definition of a system bears a particularly significant illustration of the aspect of verticality or nestability, the means of forming a hierarchy, series, or sequence wherein each member, element, or set is contained in and contains the next. From a systems thinking view of the world, this concept of hierarchy finds expression, in the natural world, as a stratified organization of increasing levels of complexity, which can be expressed as a sequence corresponding to levels of emergence distinguishing one level from the next by novel qualitative properties. 

Starting with elementary particles, atoms, and molecules to become various forms of matter, to leap from inorganic to simple organic life-forms,  to evolve into complex organisms, and in aggregate evolve into whole ecosystems, leaping again to consciousness to include humans and subsequently human society. Each level represents a cluster of interacting sub-components, consisting of elements of the previous level. 

Each level can be distinguished by the relative strength of the respective interactions by which it is constrained. Each level being stronger within and weaker between other levels. It is the constrained internal bonds that allow for the individual integrity of a level to stand out against the background of its environment and provide for a definition of boundary conditions.

This is very different from a strictly reductionist based top-down complicated systems of command and control hierarchy, discussed in the last post, that feature little in the way of nested verticality. It again means that from a systems thinking perspective one needs to optimize on at least three levels, the system under consideration, its environment, and its internal components, as a coherent, harmonious integration of relevant aspects for any constructive, systemic intervention.  The familiar and conventional organizational or governance structures of our typical commerce, political, or social affairs organizations are simply inadequate, in not being internally rich enough, to address the demands of an increasingly complex world. 

Many examples of business and governance management perpetuate a model that imposes structures with grossly insufficient variety such as conventional concepts of leadership that violate the law of requisite variety by popularly entrusting power in a single person. Consider the complex interactions that increasingly characterize today’s society, concerning the typical, still-prevailing, hierarchical, command-and-control structure, and I would add afflicted by ”complicatedness”. Such low-variety models ultimately only impoverish the system that is supposedly “under control.”

Another cybernetic term due to Ross Ashby is ”Ultrastability”, the cybernetic concept of regulation relating to the ability of a system to restore homeostatic equilibrium after unexpected perturbations even when a trajectory for doing so has not been specially pre-specified or built-in. A more complex, dynamic form of adaptation is manifested in the typical homeostatic mechanism by which a fixed decision rule is applied to trigger an appropriate corrective action whenever equilibrium is disturbed.

In more interesting cases, read as more complex cases, such as brain-like systems, societies, or ecosystem, a sufficient amount of variety can be “built” into a system so that its internal reconfiguration can be made to match unpredictable changes in its environment even if a specific decision rule is not already embedded in its structure. The general rule then becomes “keep changing internal configurations,” or basically rewire the internal variety of the system in the search for a subset that matches new demands in real-time. The internal variety of a system, even if very high and ultrastable is, however, still finite as an entirely new environmental context condition may require new options that the system cannot generate.  

This gives rise to Ashby’s Law of Requisite Variety which states that “Only variety can absorb variety.” Effective regulation then can only be achieved when the regulating system contains at a minimum, the same amount of variety as the system being regulated. The requirement for requisite variety is applicable regardless of the type of system whether automated devices, technology processes, ecosystems, or social systems.

One means of enhancing requisite variety is redundancy. The term redundancy, commonly understood as unnecessary, in information theory refers to protecting information integrity from deterioration due to the effects of background noise by increasing information content or channel capacity. 

At a state of maximum disorder or entropy, when no distinctions can be made or no information is discernible and activity ceases redundancy will be at zero. Redundancy then allows for more potential “possibilities.” If the rate of change of a system’s redundancy remains positive then it is self-organizing according to Heinz Von Foerster. This would logically seem to extend further to ”Redundancy of Potential Command”.

Internal complexity brought about by requisite variety allows for the emergence and re-emergence of different configurations in response to changing events. The important implication being that “’ living,’ self-organizing systems, including social systems of all types, depending on their internal complexity and inherent redundancy for resilience and long-term viability”.

Distributing and determining by function and relevant knowledge rather than by authority assigned by rank and seniority the processes of decision-making across a network-like organizational structure is termed ”Heterarchy” The potential for so-called “command” is thus distributed, or made redundant, over a large number of components and its location shifts constantly within the network. It is not permanently localized and no fixed vertical hierarchy of authority is discernible. 

Fuller’s definition of a system can be said to transverse across the chasm between the solely conceptual and the countless entities with distinct and independent existence within our universe, laying between that which is conceivable but which is not an entity within our universe and that which may perhaps be an entity, but that is not conceivable. In total, what we call our reality. It brings systems, conceptually defined, to a state of reality within which Norbert Wiener’s Cybernetics can be and by necessity needs to be applied.  

The seemingly, abstract, remote, and perhaps even, esoteric concepts of variety, ultrastability, redundancy of potential command, synergy, and self-organization are all related or are constrained together describing and arguably determining the characteristics of regulating mechanisms that underlie external behavior of complex systems. The practical implications of which are far-reaching and significant not only in that they shape the conduct of human affairs but they could be crucial in resolving the many sustainability-related challenges we are facing. The challenge of all interventions in any socio-ecosystemic domain would be then to keep an open, dynamic stance, working in tandem with the self-organizing properties of the system, rather than inadvertently destroying them.