Do we have a predetermined place in a universal fractal?
All things naturally form fractals. If we can predict how everything fits together, can we predict future patterns?
Off hand, and without thinking a whole lot about this question.... I don't necessarily think so, because the "plus" part of the equation (at least if you're thinking about the Mandelbrot Set) can (at least in some circumstances/scenarios) be altered by something other than the fractal "components", themselves. I suppose, if you "extend out beyond" the many smaller components and consider just one, big, fractal... Then obviously, what factors in would come from "within the larger fractal". I think I've seen (and been able to kind of predict) patterns when apply the fractal principle to something like sociological changes; but (again, without thinking much about it right now) I lean toward thinking that individual variations that include things like time and circumstances in different ways may mean that predicting future patterns accurately may not (at least always, or in all ways) be possible. (BUT, it's late Friday night and it's been a long day. I'm not entirely sure I've settled on this particular answer. It's just that somehow, those variations and that fact that fractals can/do represent after-the-fact events nags enough at me to make me lean toward thinking any "universal fractal" may more be along the lines of a framework, rather than something "more specific"/more "detailed" than a framework.
Appreciate the thoughtful answer Lisa HW. I would agree with the idea that variation does occur on the small-scale scope of a larger fractal, which allows for some spontaneity, but the fact that these smaller fractals, despite their differences, will still always come together to form more or less the same larger fractal in a predictable manner leads me to wonder how many things are just "bound to happen"
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