Well, yes. Science is the manmade measurement of the universe, so my wording was off there... Maybe that's why I like science concepts so much better than the math aspect of it... :/
The thing about trying to put something beyond infinity into words is that there aren't really any words to describe it. That whole "highest dimension" analogy is the closest possible thing I can come up with, and yes, I'm referring to something not bound by time or relative dimension or anything of the sort. I think the Bible has similar issues with wording, especially considering the fact that it was translated and reinterpreted several times over. The only real fundamental thing is Christ (body of a man, soul of God), hence the term "Christian."
Considering how things work in the universe, it makes me wonder why they work that way to begin with. Before the universe existed, did what we know as the laws of physics exist? This is why I make such a leap in assuming it was a living thing. The universe might be chaos, but it's pretty organized chaos. "By chance" is one thing, but where did the concept of "chance" come from, and how did it dictate the beginning of the universe?
Most interventions occurred through events that we can explain through known means. For example: the plagues on Egypt. River turning to blood; an algae bloom or iron-rich minerals being disturbed and carried by the river, which could have caused the animal plagues as well. Flaming hail; meteorites.
I do tend to have trouble explaining interventions such as a lack of food becoming plenty and things like that.
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Remember that event on the International Space Station where algae was growing on the outer hull in the vacuum of space? Plant life is pretty dang resilient. If the Earth was a still-forming cloud of debris surrounded by gas and plasma that would eventually become an atmosphere and the Sun, I don't think it's that far-fetched to theorize that simple plant life like algae could be created from that. Think of it as primordial soup times ten.
It's also possible that the "days" weren't our concept of a day since God isn't bound by time.
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In regards to the religion of Christianity itself, it focuses on what God did for us rather than what we do for God, so it is unique in that aspect and seems to make the most sense to me.
C.S. Lewis covers a ton of these conundrums in his book Mere Christianity and explains things a thousand times better than I ever could. It's a great read regardless of a reader's beliefs.