Some people might think that David Letterman should have just shut up about his personal problems, whether because it's a legal issue against the CBS News producer who allegedly blackmailed him or because it's unfair to the women who work for him, or because it merely creeps you out. But this is Letterman's job. He's always been a private guy outside of the show, though he's had to deal with legalities and health issues in the past and known well enough how to joke about it on the air. Monday night's monologue was not only not an exception; it was exceptional. See how Letterman made fun of himself and owned his situation. Roll the clip!

An hour later, there was his Worldwide Pants employee, Craig Ferguson. How would Ferguson treat the matter? After all, Letterman is his boss! Well, rather deftly, as it turns out — which is what you would expect and hope from the Scottish comedian. Watch and learn:

And then this after the opening credits…