Show me your proof

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Our universe is impossible to exist. lim(x->∞) 1/x = 0

Could I ask how you got to here? I mean, it's clearly not impossible... we live in our universe. The possibility of it existing is one hundred percent, since... it does exist.

I worded some stuff badly. Our universe has a cause and effect law, but the statistics on individual effect on causes show that effects should be chaotic.

The universe shouldn't make sense. We should have bunnies poofing into existence all over the place while gravity sporadically turns on and off. Instead, we have order. Therefore, I argue design.

This is a pretty big leap of logic too. Given how much of the universe is exploding, or collapsing in on itself, or is just plain uninhabitable, it's hard to really argue for order.

Exploding, collapsing, and being uninhabitable is all orderly. The equations fit, there are legitimate causes and effects. It's not random, but there is always the law of conservation of mass/energy going on. I'm talking about rolling an infinite sided die for every reaction to find its result.

Besides, getting there requires that we disengage ourselves from what we do know about the universe and going on your flight of fancy, and we're by no means required to do so; you can posit that a universe might exist where effect is independent from cause, where things happen spontaneously for no reason, but we don't live in that universe, nor do we have any reason to believe that's even possible. You're asking us to accept a premise that's not evident.

Yes. It's called a thought experiment. It is intentional. You are not required to do so, but it is simply restricting your knowledge. Schrödinger's Cat and the Chinese Box are the most famous ones.

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"Opposed to the infinite possibility for chaos, there is only one possibility for an ordered cause and effect equation."

You don't know that there is only one possibility.
All you know is that there is at least one possibility.

See "thought experiment".