"The thing about coincidence is that when you imagine the umpteen trillions of coincidences that can happen at any given moment, the fact is, that in practice, coincidences almost never do occur. Coincidences are actually so rare that when they do occur they are, in fact memorable. This suggests to me that the universe is designed to ward off coincidence whenever possible—the universe hates coincidence—I don't know why—it just seems to be true.
So when a coincidence happens, that coincidence had to work awfully hard to escape the system. There's a message there. What is it? Look. Look harder.
Mathematicians perhaps have a theorem for this, and if they do, it might, by default be a theorem for something larger than what they think it is."