Dumbledore is dead. As a doornail. Like Buckwheat. His picture is in the headmaster's office, so he is out of here.
Why wouldn't he be dead? He certainly did not fear death, especially if it helped Snape keep his cover as a spy.
As I thread, that's an issue for a different thread, which actually has been settled because Rowling has acknowledged that he is dead. Some of the prose concerning his death seems to include extra details that make you wonder whether or not there was some other plan afoot to fake Dumbledore's death. When I read it the first time, I thought about this: "Severus, I have a great plan. First, you kill me."
He was afraid of death, but that's not the same as inviting death. Another theory that I've heard is that he was already "dead" in some fashion during the last book. And one wonders if he could somehow pull a Phoenix and rise. Renewal is a continual theme even if dead is dead. You can't apparate into or out of Hogwarts, but you can if you hold the tailfeather of a phoenix. So no rule seems to be universal.
But, again, I'll take Rowling at her word. On the other hand, if she was being cryptic and parsing her words and Dumbledore is somehow alive, stick him into my predictions where he is.