I've heard "ordered chaos" used casually before in describing a complex situation that has a degree of predictability. Chaos usually refers to a disordered state, which seemingly has no rhyme or reason. It is interesting to think about how chaos can be organized with a mathematical theory. Perhaps we label something as "chaos" when it exhibits a complexity and randomness that we don't understand it, but when recognizing there is a pattern or initiation of behavior, it seems "ordered" in a way.
Fractals as patterns of complex system - This makes me think of nature, and the fractals that exist in the dynamic and changing system of the environment. Scientists can predict hurricanes, volcanic eruptions, earthquakes by observing patterns. A single incident can give clue to a formula for a pattern that repeats on a larger and wider scale. For example, scientists can look at past hurricanes and apply fractal mathematics to predict the emergence and trajectory of future hurricanes. Fractals can help predict seemingly chaotic events in nature.
"Consciousness out of chaos" is an interesting concept. It makes me think of mental chaos/confusion, and mental consciousness/clarity. Chaos reflects a system that is not in equilibrium, and therefore contains energy, which can be destructive or constructive. The ability to realize consciousness and harness the energy of chaos is advantageous in reaching a greater state of creativity and change.
I appreciated your comments as your analogies with chaos, fractals ad consciousness out of chaos have help me in the clarify the outline for my paper. It helps simplify the information from the semester in seeing how the information of the semester is about integrating analogies of different observations in parallel.
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