What have most, if not all, systems (analogous to structures) in common?
And what have many processes of analysis in common as well?
They offer a kind of fractal pattern, that develops so-called "clusters" and insular structures.
These clusters can be regarded as mainly self-sufficient islands, which are a kind of more complex system within the superordinated system.
Furthermore, they are just another form semi-closed loops can have, which makes them an important sub-category thereof.
In the following sections we will focus on the process of analysis.
There are mainly two ways of how to approach a scientific concept; Logical induction and logical deduction.
Logical induction generates the big picture/ hypothesis out of the details. It is the primary frame of the scientific method.
Synonymously it is like zipping data and compressing it. Furthermore, it is similar to encrypting.
Logical deduction works reverse to logical induction as it generates the details out of the big picture.
Synonymously it is like unzipping compressed data. This is similar to decrypting.
Both simplification as well as complexification are very helpful tools to comprehend many scientific issues.
Simplification is the extraction of the key concept, the main frame of that system. Often analogies are a good start for system analysis.
Furthermore it can also be regarded as a way of reductionism, in which the principles are reduced to their simplest form.
Simplification is a summary, a generalization, in which many details are merely ignored, or better said, to be kept in mind in the background.
The difficulty lies in priorizing which details can be ignored for now, and which are essential and shape the holistic picture siginificantly.
Too much simplification can also lead to misconceptions of the issue.
Complexification is a kind of extrapolation; in which one also focuses on the details and how to implement them into the holistic big picture.
To be synoptic, simplification is very helpful for first grasping the main principle to classify the issues into a primary category. This can also be done using analogies.
Complexification, on the other hand, is helpful for the detail-oriented work.
Simplification is merely a reductionistic approach, whilst complexification tends to be a holistic one.
In the upshot, it is the clever interplay of simplification and complexification that creates the best results;
As it was never solely the thesis nor the antithesis that could portray the real nature of reality to a sufficiently exact enough degree, the "true model of reality" is manifold, and more than often, it is polarized within itself as it doesn't have a fixed nature on its own. Nothing is static, not even the fundamental "law" of change...(for everything has some intervals of stagnation as well...)
The synthesis of simplification and complexification is merely like a very intertwined dance between analogies and facts; Some things have to be taken literally (in means of strict determinism), some things have to be taken metaphorically (merely like probabilistic determinism, which is like strict determinism with tolerance intervals of deviation.)
As to quote one of my poems;
"What is analogy and what is fact?"
Nature loves to use her already existent rules of self-similarity in form of self-reference, self-replication, self-interference and self-simplification. These are literally the four main operators nature uses for her own creation, as everything can indeed sprout out of (merely appearing) nothingness.
These are the processes of fractal patterns.
Patterns are logical sequencies that can both occur in structures as well as in processes.
Patterns in processes are logical rules, like scripts; a neat example for this is DNA as its process of self-replication underlies given sequencies, logical rules.
Patterns in processes create patterns in structures, and patterns in structures further amplify the processes; This results in a kind of solidification of patterns, which is just the principle of emergence itself.
A different example for emergence is the cosmic microwave background radiation (CMBR) which is the remnant of the early universe. It shows temperature and density fluctuations: These fluctuations are the "attack surface" for gravity, which works as an amplificator for denser areas, say, they get even denser. Less dense areas get aven less dense. This is also a process of emergence.
This behavior of emergence creates clusters. Patterns are both a product as well as a creator of emergence. It appears to be a kind of (semi-) closed loop, that is opened to the future and the growth it generates. Entropy is hence a way of "exit" or "escape" from being a really closed loop.
As to indulge in the different main patterns of processes, we come back to what I wrote about Complexogenesis regarding self-reference, self-replication, self-intereference and self-simplification.
These processes are all due to the fractal-like pattern nature has to offer as it is the result of self-similarity.
That's the merely simple key concept of a fractal nature;
Every system starts with the first level:
1st level: Self-reference (passive interaction with own structures and processes);
2nd level: Self-replication of self (active interaction with own structures, but passive with processes);
3rd level: Self-interference (active interaction with own processes and structures)
4th level: Self-simplification/self-compression (active interaction with own processes as well as structures, plus creation of subordinated systems (a way of growth) as a form of inter-level self-replication)
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