
Art by Dall-E
In my post today, I am looking at variety in Cybernetics from a second order cybernetics standpoint. I have written a lot about first and second order cybernetics here. First order cybernetics is the study of observed systems, and second order cybernetics is the study of observing systems. In the first, the observer is outside of what is being observed and in the second, the observer is part of what is being observed. The observer being part of that which is being observed brings self-referentiality/circularity into the scope of the observation. In the first, the emphasis is on an objective world out there, and in the second, the emphasis is on the subjective experiential world.
Variety is defined as the number of possible states of a situation, as distinguished by an observer. I am using the word “situation” instead of “system” because from a second order cybernetics standpoint, the word “situation” brings in the aspect of an experiential world. Variety from this view corresponds to the ability of the observer to make distinctions. For example, consider the set of alphabets {A, a, b, c, C}. Here an observer can say that the variety of the set is 3, counting the three alphabets. Another observer might say that the variety is 5, distinguishing between the lower and upper cases of the alphabet. As an additional example, consider the case of Morse code. Morse code is made of basically four states – a dot, a dash and two spaces. The dash is three times the duration or length of the dot. All the English alphabets and the Arabic numerals can be represented by the dots and dashes in different sequences. The space between the characters within a word is represented by the absence of the signal for a duration of three dots, whereas the space between words is represented by the absence of the signal for a duration of seven dots. For an observer not familiar with Morse code, the variety of a message could be just 1, whereas for an observer familiar with Morse code, the variety of a message could be pretty large depending upon the size of the message. One more interesting trivia about Morse code is that the different sequences of the characters are represented in the order of ease of use. For example, the letter “E”, the most commonly used letter in the English language is represented by the simplest representation of just one dot. Similarly, the numbers have longer sequences than alphabets.
Variety in Cybernetics is viewed as being tied to complexity. The complexity of a situation is dependent on the ability of the observer to make distinctions. In other words, the complexity of a situation is defined by the observer as the variety of the situation. I will also introduce another notion that is of utmost importance in second order cybernetics – purpose. The purpose of an object is determined by the subject. This is also tied to the notion of variety. As an example, let’s say that an observer needs to open a paint can. The only thing available for the observer is a flat edge screwdriver. At that point in time, the observer may see the variety of the screwdriver being more than one state. Apart from the normal use of the screwdriver to screw in a screw, the observer may see an additional use of using the flat edge to pry open the paint can. The actions of an observer when presented with a situation is dependent upon the observer’s ability to make distinctions. One other close notion that was explained by Ross Ashby with regards to variety is that of constraints. I had earlier denoted variety with the ability of the observer to make distinctions. This ability is tied to the notion of constraints. In the example of using the screwdriver to pry open the paint can, the ability to make that distinction is constrained by the observer’s knowledge of inserting a narrow edge into the gap of the lid of the paint can. The analogy of narrow edge of a paint can opener to the narrow edge of a flat screwdriver was useful for the observer. If that ability of making analogies was absent, then the observer would not have had the requisite variety needed.
I would now like to look at the idea of second order variety. Generally, second order uses self-referential phrases such as “understanding understanding” or “improving improving”. Second order variety in this aspect will be variety of variety. In the example of Morse code, the observer is having the variety to differentiate individual characters which will enable the observer to differentiate between different words. The observer having the variety to differentiate individual words and understanding semantics of the English language will enable the observer to differentiate different sentences. The observer having the variety to differentiate between sentences will enable the observer to understand the general theme of what is being said. In other words, variety begets variety. The more things one knows will increase the chance of getting to know even more newer things. From this viewpoint, diversity in any situation is a blessing. For example, knowing carpentry can help in an entirely different situation such as writing an essay.
When I started thinking about variety from the second order standpoint, it reminded me of a quote from Nassim Taleb and Bali, an Indian mythological character. Taleb in his book Skin in the Game recalls a saying by the brother Geoff and Vince Graham that summarizes the ludicrousness of scale-free political universalism:
I am, at the Fed level, libertarian;
at the state level, Republican;
at the local level, Democrat;
and at the family and friends level, a socialist.
This of course would change according to who the observer is, what values they hold dear and the context of the situation. Holding a steadfast rule universally with a predefined variety is also ludicrous.
The Indian mythological character, Bali, was the monkey king of Kishkindha in the Hindu epic Ramayana. He was given the choice of any boon by Brahma. Bali asked for the boon such that in a fight, Bali will gain half the strength of his opponent. His opponent would lose half his strength to Bali. Bali was said to have the strength of 70,000 elephants, and his boon made him impossible to defeat in a direct combat. His boon made him able to fight anyone and defeat them. His immense strength along with the boon gave him a lot of variety. He was able to amplify his variety with his boon in a fighting situation. He was killed by Lord Ram who shot an arrow from behind a tree while Bali was fighting with his brother Sugriva. From a cybernetics standpoint one could say that Bali’s abilities were attenuated by Lord Ram by not engaging in a direct fight.
I welcome the reader to check out these posts on making observations:
The Case of the Distinguished Observer:
Observations on Observing, The Case Continues:
View from the Left Eye – Modes of Observing:
Stay safe and always keep on learning…
In case you missed it, my last post was A Saint and a Leader: