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Any advice is good, I just have to start at the beginning in a way that most people don't. Beyond that, normal advice is fine. I can adjust that advice to the quirks of my systems.

Dynamical systems is a great new keyword! Algorithms are a perfect example. I am exploring system dynamics from a metacybernetic point of view (via the viable system model). My focus is the dynamics of humans in complex systems, how systems change human behavior and vice versa.

Does big picture thinking in math involve understanding/intuition of the implications of formulas, and how they interact with other formulas (or other mathematical entities, I don't know if formula is a general enough term for "group of math actions")?

Graph dynamical systems looks promising, because I draw similar pictures when showing relationships over time. Fractals are always good, drawing fractals taught me to think recursively.

Is this the definition of group in the algebra you mentioned? https://mathworld.wolfram.com/Group.html

I am also interested in the way models create understanding, and how technical models can be visually altered to aid in understanding. I have a background in visual psychology, and see many mistakes that cloud the meaning of what is being communicated.



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