Now there's a thought. I suppose learning and exploring the world aren't really too different... I don't know how many schools would accept a ghost for a student, though.

As for the other thing, I'm usually visible, but moreso at night. By day, it's more uneven; some days I can't be seen at all. If I want to, though, I can just disappear if I want to. Here, look:

[Ivy prompty fades into total invisibility.]