"A simple representation of components to a system is the input/output block diagram. In this representation,
each block represents an agent that effects a change on something, namely its
input. The result of this interaction is some
output. The abstract way of representing this is
where
f is the process that takes input A into output B. Clearly B can now become the input for some other process so that we can visualize a system as a
network of these interactions. The relational system represents a very special kind of transition this way. Rather than break everything down in the usual reductionist manner, these transitions are selected for an important distinguishing property, namely their
expression of process rather than material things directly. This is best explained with an example.
The system Rosen uses for an example is the Metabolism-Repair or [M,R] system. The process, f, in this case stands for the entire metabolism going on in an organism. This is, indeed, quite an abstraction.
Clearly, the use of such a representation is meant to suppress the myriad of detail that would only serve to distract us from the more simple argument put this way.
It does more because it allows processes we know are going on to be divorced from the requirement that they be fragmentable or reducible to material parts alone...
The transition, f, which is being called metabolism, is a mapping taking some set of metabolites, A, into some set of products, B. What are the members of A? Really everything in the organism has to be included in A, and there has to be an implicit agreement that at least some of the members of A can enter the organism from its environment. What are the members of B? Many, if not all, of the members of A since the transitions in the reduced system are all strung together in the many intricate patterns or networks that make up the organisms metabolism. It also must be true that some members of B leave the organism as products of metabolism.
The usefulness of this abstract representation becomes clearer if the causal nature of the events is made clear...
the mapping, f...is a
functional component of the system we are developing. A functional component has many interesting attributes. First of all,
it exists independent of the material parts that make it possible. This idea has been so frequently misunderstood that it requires a careful discussion. Reductionism has taught us that every thing in a real system can be expressed as a collection of material parts. This is not so in the case of functional components.
We only know about them because they do something. Looking at the parts involved does not lead us to knowing about them if they are not doing that something. Furthermore,
they only exist in a given context.
Metabolism as discussed here has no meaning in a machine. It also would have no meaning if we had all the chemical components of the organism in jars on a lab bench. Now we have a way of dealing with context dependence in a system theoretical manner.
Not only are they only defined in their context, they also are constantly contributing to that context. This is as self- referential a situation as there is. What it means is that if the context, the particular system, is destroyed or even severely altered, the context defining the functional component will no longer exist and the functional component will also disappear...
The semantic parallel with language is in the concept of functional component. Pull things apart as
reductionism asks us to do and something essential about the system is lost. Philosophically this has revolutionary consequences. The acceptance of this idea means that one recognizes ontological status for something other than mere atoms and molecules. It says that material reality is only a part of that real world we are so anxious to understand. In addition to material reality there are functional components that are also essential to our understanding of any complex reality.
Mikulecky, D. C. (2005). The Circle That Never Ends: Can Complexity be Made Simple?. In
Complexity in Chemistry, Biology, and Ecology (pp. 97-153). Springer