I think you hit these sorts of problems regardless though. You could say empire, civilization, polity, society, culture... They're all fuzzy classifications.
They aren't discreet terms. A civilization doesn't begin or end at a certain date.. unless you agree to some specific formulation. But, that will not be an exact fit when you try to apply it elsewhere.
Taken totally literally, civilization just means urbanism. But obviously, that's not what we're talking about here.