paradigm: fractal

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I put it out there, paradigms are a fractal phenomenon.

This insight is only a day old (2011-09-02):
It was inspired by talking to one of my students. Last year, I saw that she (not knowing it) drew or doodled Sierpinski fractals (below) in the corner of her workbooks, and I thought it was pretty cool.


I pointed out to her  - at the time - that she could only draw down to 7 plus or minus 2 different triangle sizes in one doodle. Yesterday, she returned to me and questioned me again on this: Is that the limit? 7?
  I explained that 7 plus or minus 2 at one standing, view, or perspective, but if we zoom in, we will see more and more - as they come into focus, but there will always be 7 - yes.

Later, it came to me that this standing or perspective is a paradigm, as demonstrated by the fractal development below. The paradigm is the view from the first iteration to fractal equilibrium.



A change in paradigm comes with zooming into the fractal (universe), leaving the past behind as it decays away.



As an example, what have microscopes and telescopes done for our understanding? Changed us forever.



Thank you, Amanda  (with permission).


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