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# Systems

The human body is a classical example of a system requiring the integrated functioning of many different parts in order to get the emergent phenomenon of the entire physiology

There are many definitions for a system. Some examples include Wikipedia’s definition where “a system is a set of interacting or interdependent components forming an integrated whole.” According to the Oxford Dictionary, a system is “a set of things working together as parts of a mechanism or an interconnecting network.”1 Firstly, a system is a group of parts, that is to say, it is a composite entity being composed of a number of things. In the language of systems theory, we call these parts, elements. Next, these parts are interconnected and interdependent in some way, that is to say, there is a set of relationships between the elements. Lastly, through these relations, the elements are arranged in a particular way in order to perform some collective function that defines the system as a whole.2 An example of a system might be a business organization. It has a number of parts or elements that are the business departments, such as production, R&D, sales, accounting etc. All of these departments are interconnected; they exchange information, resources, personnel etc., and through this exchange, they are organized to perform some collective function, that is producing some goods or services. There are of course many examples of systems, from transportation systems to agricultural systems and health cares systems.

### Sets

A random pile of stones is an example of a set as they do not perform a collective function and are not interdependent

However, not everything is a system. If we have a group of things that are not interconnected and do not work together, then this is not a system. It is what we call a set, a simple set of elements. An example of a set might be a pile of bricks or a group of people waiting at a bus stop. These compositions have not been designed to work together. Thus, we describe them by simply describing the properties of each element in the set, and that tells us everything we need to know. There is nothing more to sets than the simple sum of their elements. This very important feature to sets helps to make dealing with them relatively simple. When we are dealing with sets, we use what is called set theory. Set theory is essentially the foundations of contemporary mathematics, and thus by extension contemporary science, which both represent the analytical method of reasoning.3

### Emergence

If we took this pile of bricks and we built a house out of them, we would no longer describe them as simply a set of bricks. Because by building our house, we have now added a set of relations, a particular arrangement to them that allows them to function as an interdependent entirety, and this entirety of the house is the system. This helps to illustrate one of the key features of systems and systems thinking, that is what we call emergence. Emergence is a process whereby larger entities, patterns, and regularities arise through interactions among smaller or simpler entities that themselves do not exhibit such properties.4 In contrary to the elements within a system that are things, like bricks, cars, people, planets etc. a system is what emerges out of the interaction of these things when they work together as an entirety. This makes systems and systems thinking a little bit more abstract because we cannot really touch, grasp or hold a system. Think of an urban transportation system. We might be able to see a bus or walk on a road, but it is difficult for us to grasp the whole that is the system. Whereas the elements within a system may have well-defined boundaries, the system as a whole is a much more open and nebulous thing. Thus, it is not surprising that we often resort to using analytical methods whereby we simply describe the system by describing all of it parts, thus reducing it to a simple set.

#### Citation

Cite this article as: Joss Colchester, "Systems," in Complexity Labs, October 17, 2016, http://complexitylabs.io/systems/.
2017-05-05T11:56:25+00:00