paradigm: fractal
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 ...