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I was debating the nature of god(or lack of) with a christian on IMDB boards once. I was bringing up the concept of fractals that builds up the universe, order through chaos thing. At some point the other guy said, paraphrasing: "If someone shoots himself in the head it would not create a fractal blood pattern on the wall". Could not believe how good of an idea this was for a picture.
Actually the world is not built of fractals. Fractals are a good model of how random processes appear to be ordered due to their probabilistic nature (e.g. more hits closer to the mean or both sides of the coin appearing approximately equally). The world would be fractal if both sides of the coin appeared exactly equally often.
You would, in an experience, get both sides of the coin appeared equally often if given enough tries.
No. The distribution approaches equality, but never meets it.
This is caused by a fluctuation. That's the "chaotic" part, but in the end the results fits the expected "order". The distribution will eventually reach a perfect .5 but only to fluctuate the other side unless you stop tossing it. It was crossed multiple times in a 5000 flip simulations that I tried out in the following link. In fact it ended up with 2501-2499 for heads.
You claim that we are living in a deterministic universe.
Not in a quantum state, where fluctuations reigns supreme. But you can't try out the double slit experiment with a rock. But yeah, I view the natural world in a deterministic way with a small degree of fluctuations wich mind aswell be us in a philosophical context.
Im getting out of my comfort zone here though. Can't get any deeper than a laymen perspective. Truth is I suck at math.
But overall I think fractals still makes up for a solid metaphor for life, if not for an actual building block. Their symbolism surrounds us still.