Term limits

New York's Mayor Bloomberg wants to run for a third term. The city has a term limit of two terms, though, so if he's going to run again that term limit will need to be overcome, and there seem to be some powerful emotions in the people opposed to that change. "It's undemocratic!" they say. "The people have spoken: they voted for the term limit. Overturning it is undemocratic."

This is a democracy, yes: if you don't want him to have a third term, then don't vote for him.