hero may choose short famed life > longer life in obscurity
Odysseus chooses challenge of returning to Ithaca over concealment and immortality with Calypso
aim of the hero = being talked about
without kleos, heroic status is impossible
when Odysseus reveals himself to the Phaeacians, his announcement that the whole world knows of his fame is not unacceptable arrogance, it is establishing kleos
a hero is a hero for as long as he is talked about