abu afak - you're no better than
scruffy - unable to answer questions that you should be able to given your claimed expertise. Posting a little emoji is not an answer.
Each of you enjoy making lengthy posts that are mainly cut-n-paste of obscure articles and pretending that this somehow demonstrates erudition.
Abu's pinky finger is more erudite than your entire set of fallacious claims
You ask dumb questions like "is it chaotic or is it random", as if there were a difference.
I'll bet you never heard of Ramsey. He says the same thing ALL the smart mathematicians say, there's no such thing as complete randomness and the best we get is DEGREES of disorder.
How much of it you see, depends on the scale of your perspective, and how you measure it.
There's no such thing as complete determinism either. And once again the same holds true, it depends on scale and measure.
To insist otherwise reveals an ignorance of our universe. Not to mention the fundamentals of mathematics. Study Hausdorff, one of the kings of measure, topology, and fractal dimensionality. Study Renyi, Feynman, and von Neumann. They all say the same thing. Heisenberg says it too. You can't measure what you can't see.
Insisting on knowledge of the unknowable is pretty foolish. Insisting that unpredictability is deterministic is pretty foolish too. It's the kind of tripe you get when you start believing the fluff on Google and Wikipedia. They tell you unpredictability is deterministic and that somehow soothes the creationist mind so you start believing it. Even when it's plainly obvious you can't predict a damn thing.
Instead of arguing inanities you should go read about how much you CAN measure, and when and why. You know what Google says about "unmeasurable"? Too big to measure. I kid you not, that's what it says. If you start believing crap like that you'll be an unhappy person in no time flat. Instead, study measure theory. Read Borel, Lebesgue, Radon ... if reading is too much and you like pictures better, go get the Fractal Geometry of Nature by Mandelbrot. At least that way you'll learn something useful. He devotes an entire chapter to measure, and then shows you how it affects everything from distance to dimensionality. Go look at the pretty drawings by Renyi, who took it one step further and studied the asymptotes of measurability. Guess what, they're the SAME upper and lower bounds you find in stochastic ("random") generators.
You're never going to learn this stuff from Google, or Wiki, or even ChatGPT. Assuming you WANT to learn it, which most believers don't, because they can't tolerate having their worldviews deconstructed. They'd rather BELIEVE that things are logical, even when they aren't. Because if they couldn't cling to their beliefs they'd fall apart.
There's an old Chinese proverb that says "blessed are those who expect nothing, for they'll never be disappointed". Math is about relationships, not truths. Convenient truths are a mind killer. "God dunnit" is a great excuse to stop using your mind. You end up believing stuff like there's some kind of dichotomy between randomness and determinism, even when every great mathematician in the last 400 years has shown you there isn't.
