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Re: AW: fractal loops (was: keeping loops interesting)
Krispen Hartung wrote:
> I like this. Now this is starting to seem like the fractal examples I am
> accustomed to reading about or seeing.
<snip>
> In short, each part reflects some nature of the whole, as in the example
> above with those chords, as in the phenomenon of holographic images
> (though only in similarity, not exactness, to appease Rainer and
> Andy)....the whole is the big monad, or "Modad" as I like to call it. :)
Well, most of the naturally-occurring fractal structures I know about,
e.g. soot particles, aerogels, etc., are only statistically fractal;
they don't contain scaled-down exact duplicates of their larger structure.
> Here is another really interesting article on Leibniz' monads and their
> fractal properties...fascinating. Now I want to go back and read his
> Monadology again.
Monadology...what a great name for a bebop tune.
> Another analogy to fractal theory, which actuallyl came before fractal
> theory is the Rationalist theory of knowledge (Leibniz was a Rationalist
> by the way, so this makes sense), such as from Decartes and Spinoza.
> One might describe Descartes system of knowledge by the "pocket paradox"
> analogy, wherebye putting my hand in my own pocket, I can tell what is
> in the contents of someone else's pocket, direct knowledge with no
> empirical data. Likewise, according to Rationalists, you can actually
> reveal the secrets of the universe (truths) via the mind alone...again,
> that concept of the whole being contained in each part in some fashion.
> The cosmos inside the mind, such that we can metaphorically "view" its
> structure and deduce truths.
>
> Kris
I wonder if you could make a broad argument that this (the hand in the
pocket trick) in some way presaged quantum entanglement? Nah, too much
of a stretch.
Anyway, I think you've just tripled my knowledge of philosophy. Thanks.
:-)
Brian