  To say that a line is comprised of an infinity of potential points is no more than to say that a line may be divided (with a line-cutter, with the mind, etc.) anywhere on it, that any potential point may be brought to actuality. The continuity of a line consists in the fact that any actualized point within the line will hold together the line segments on each side. Otherwise, it makes no sense to speak of a potential point actually holding two potential lines together.