Final answer:
Achilles' outstanding abilities as a warrior do not grant him the status of a god; he remains a mortal hero and leader despite his near invulnerability and heroic deeds.
Step-by-step explanation:
In the narratives concerning Achilles, particularly as described by Agamemnon in Homer's Iliad, Achilles' remarkable prowess as a warrior does not give him permission to be a god. Despite his near invincibility and heroic status, influenced by his mother dipping him in the river Styx, making him almost entirely invulnerable except for his famous heel, Achilles remains mortal. His skills make him a legendary figure, certainly a hero, and also a formidable leader among men, but they do not elevate him to the status of a divinity, which was a separate domain in Greek mythology and culture.
Achilles aspirations and the tragic fates of the Greek heroes are common threads in these tales. While individuals like Alexander the Great sought to emulate and surpass Achilles' heroism, even he, as a mighty conqueror worshipped as a god by some, could not truly become a god in the literal mythological sense. The divine and the human remained distinct categories in ancient Greek understanding, regardless of how exceptional a person's qualities or achievements might be