If one ray contains another ray, are they the same ray? Bleh! I can't figure this one out.

Yes and no, while they occupy the same space you could still consider them separate entities, although this brings on the inception/infinity barriers you run into when it comes to math/logic.

Just think of it in the same way that there are infinite lines in a plane, and infinite dots in a line, and infinite planes in the 3D world.