People who speculate about the growth of cultures have wondered if our moon (which is unusually large compared to the host planet, at least based on the limited set of planets we can see) played a big role in our societies. Did it make us more aware of the sky than people who evolved on a moonless world would be, or a world with a small moon? Did the tides have an unusual affect on us beyond ordinary solar tides?
One thought did occur to me recently. The moon's rotation period is tidally locked, meaning the moon rotates at the same period with which it revolves around the Earth, and so it always presents the same face to the Earth. From our viewpoint, it does not appear to rotate at all.
Because of that, and because it's big enough to see with the naked eye, the features of the moon were fixed and visible to all generations of humans. We created the concept of "the man in the moon."
If the moon did have a visible rotation (ie. it was not tidally locked) it would be obvious to us. It would be obvious, in particular, that it is a sphere, and not a disk pinned to the sky as it appears to be.
So ancient astronomers would have seen the moon was a sphere and probably would have figured out much earlier that the sun, the other planets, and most importantly of all, the Earth itself, were a sphere. Perhaps more importantly, it would even be obvious to the common person. And what might that have done for the evolution of our technology and society?