Is arthas dead? id say no/yes Because arthas was technically never reanimated. But the chain of qeust too kill him says he did ripe his heart out and through it in a ditch. I think that is your opinoin In my eyes, i say hes not.
Prince Arthas Menithal died during the Scourge Invasion of Lorderoen. The Deathknight Arthas was then born. This Arthas killed his former father. Then he killed the Lich King, and conjoined spirits. Later he became the sole Lich King. Finally, the second Lich King was killed at ICC by members of the Alliance and the Horde. Now Bolvar Fordring is Lich King.