Different counting traditions developed, following the arguments, that with Albert I's father Bernard ascending to dukedom, this was either (1) a successor of the old stem duchy of Saxony, with its two prior dukes named Bernard or (2) the sharply belittled territorial rest of Saxony remaining after the carve-up of the old duchy in 1180 formed the so-called Younger Duchy of Saxony, whose first duke of this name was then Albert I's father Bernard I (or III). Both traditions compete, more so with Bernard sometimes counted I or III, less so with Albert, usually counted I, but with his grandfather of the same name also having ruled as Saxon duke.