How do you know it is randomly mimicing? I am sure it has a purpose.
Did you read my first post on "Universe Without Thoughtful Design?" I showed that Conway's simulation randomly selects laws, and from that random selection can arise systems so complex they appear to be driven by thoughtful intelligence and to have purpose.
Xerx, the fossil record is my source.
Your source for what? I know a bit about the fossil record, the process, and how likely it is something will be fossilized.
So what category would I fall into if I accept evolution, but believe it was started by a higher entity?
Flanders, depends. A Christian who accepts common ancestry as a reality, and believes God oversees it, would be a theistic evolutionist
; but merely accepting adaptation is not considered theistic evolution. Some panentheists fall into this category.
A person who believes some god thoughtfully created the program and executed it, without further involvement, is a deist. They still fall within the theistic evolution category, but you could call it deistic evolution.
A person that believes the world was created 6,000 to 12,000 years ago, and all animals in perfect form from the dust of the earth, is a creationist.
An atheist, agnostic, or pantheist just accepts evolution as a reality.
Personally, I don't believe the universe was thoughtfully designed, nor do I believe evolution is thoughtfully driven. But, I do think the universe, and beyond, is like a vast organism that by its intrinsic nature grows into countless forms and then dissolves. It's not thoughtfully designed, but the very nature of the organism gives birth within itself to countless complex forms. If I call this vast Being "God" then all of us are the eyes, ears, and bodies of God.
What others call "intelligent design" I call the self-arranging quality of nature Itself, beyond thoughtful discrimination.