An example: I'm researching the ontological argument. Basically, this argument says two things. First, that (given a certain definition of "God"), it's logically impossible that this definition not refer to something that actually exists. Whether or not you think this argument makes sense, is it theology? Or philosophy? Or is it in some sense science? And why? (Something can be science without being good; for example, the idea that the world is only 6,000 years old may be scientific; it's just bad science.)
I'd really like to know. What do you think of when you hear these words and where do you draw the line between them?