[atomack]

I'm not sure (1) is 'obviously possible'. Supposing there's a finite number of atomic configurations that produce Abraham Lincoln, there's still an infinite number of atomic configurations so you're probability is strictly zero, no? It's not even an 'age of the universe to achieve' type event. And that assumes that your random throwing together of atoms includes the physical preconditions to create an Abraham Lincoln. For instance, if you were sitting in the middle of a black hole randomly assembling atoms I'm pretty sure it's physically impossible to create an Abraham Lincoln.