Okay, a third definition of greatness. Maybe Alexander is great because of his legend. Since no accounts of Alexander were written while he was alive, embellishment was easy. And maybe that's where true greatness lies. I mean, the guy died at 32 before he ever had a chance to get old and lose battles. He was tutored by Aristotle, for God's sakes. Then there's Alexander's single-minded, obsessive, Ahab-esque pursuit of the Persian king Darius, who he chased across modern-day Iraq and Iran for no real reason except that he desperately wanted to kill him.