The simian is merely a stage (near the end) of the creative process, using evolution, to make bodies in God's own image. Evolution or literally shaped clay, both are merely processes to achieve the desire result. No conflict. Evolution does not preclude the fact that man is ceated in God's image.
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and they came about through random mutation and natural selection.
Processes that God would have instituted in the Creation as He set up the universe by smashing two branes together (String theory).
That's in direct contradiction to the theory of evolution.
How so?
Traits are selected for through random mutation and natural selection.
Indeed.
There is nothing inevitable about the evolution of man.
Sure, but as we know, selection can also be brought about by human intervention (such as the banana). Therefore, selection can also be a result of Divine intervention. It is not possible to preclude God because of support for evolution.
If the dinosaurs hadn't by chance been wiped out, it's possible that one of their species could have become sentient.
Sure.