Fractals permeate nature, both the living and the dead.
What are fractals? They are repetitive patterns. For example, the small branches of a tree branch according to the same rules according to which main branches branch off from the trunk. The rules explaining the appearance of mountains and coastline are the same everywhere you go. See examples at this link.
You can blame fractals in life forms on DNA, but what about the fractals appearing in inanimate nature?
Without asserting that "God did it," what other explanations are there?
We don't ask ourselves why there are natural laws.
Speak for yourself, Unseen.
Natural Laws aren't laws in the regular sense, they are explanations of relationships we observe in nature, nothing more.
"they are explanations of relationships we observe in nature", yes and they continue to show up, why?
If we assume that these 'rules' are somehow embeded in the guts of the 'machine', how do we account for them?
I see a parallel between the rather simple rules to generate a 'mathematical fractal', and a little larger set of 'rules' that seem to govern or restrain the observed universe. I just don't know 'how' they would work without some analogue to a computer. There are some materials like DNA, that seem to offer a 'self assembly' example. Does 'natural law' act like a cellular automaton at some deep level in space/time? Maybe the 'rules' are somehow embeded at the deep level of quarks or strings, where the higher deminsions seem to play out.
This is where someone should say WUWU! Or Someone stop him!
In the multiverse model, the 'rules' could have very different states, or behaviors, some that might not allow the creation of matter, or make organic materials too unstable to ever form. We might just be a universe that allows us to think about it. If there were no unlying fractal recursion of the 'rules', some break down in the fabrication of matter, any simularity to 'conscience' never forms.
This might be a point where atheists could celebrate, because even theists would never appear....
What you are seeing is a trick of your mind. You have seen fractals before, then you see the river catchment in the picture above and your mind says "Aha! that looks like a fractal" and so you call it a fractal.
If it is a fractal, define it with mathematics. I don't think you can. I don't think anyone can. It is infact easily explained by rain: when a drop fall at any given point, it follows the same path as the previous drop to hit that point (downhill), and at any given point, it will always follow the path of the previous drop to hit that point. Each drop takes a little bit of the soil away with it, leading to a more defined pattern as seen in the image.
I don't understand. Does Jesus think that his God comes from his timeless and immaterial state to pull apart a branching tree, to rip apart a single shot of lightning, to manually place every snowflake, to dig the canals in the earth so that the tree, lightning, snowflakes and water have something that all apparently looks the same?
Does God do this himself, or does he recruit certain angels to do it? Perhaps the fractal angel of water, the fractal angel of snow, etc?
Or can't he simply just think that this happens in nature because of some underlying physical or mathematical principle that he simply just doesn't understand even if others do?
This might help the Goddidit brigade to get started.
I'll look up my monograph on fractal geometry, and see if I can post the simple procedure to generate the Mandelbrot and Julian sets. The code is in BASIC, and fun to play with. Sadly, my old machine does not do uploads of pixs. Its about 4 lines of code, the rest, just bells and car horns...
1) I wonder if a universe that wasn't structured in such a way as to be describable and predictable using math is possible. In other words, perhaps math comes along with any universe no matter how structured.
2) The mathematician Goedel proved that All consistent axiomatic systems contain undecidable propositions (which cannot be proved). I'm not sure this is consistent with the notion that math is infallible. At the same time, this doesn't seem to loom as much of a problem most of the time.
If that universe allows enough stability to allow the extraction of patterns in behavior, then a 'math' could appear, but I expect it would demand a 'mind' to conceive of it. I also expect that the 'patterns' that can be preceived, will depend upon the equipment available. We take so much for granted as monkeys...;p)