Barker, Elton T. E., and Joel P. Christensen. 2019. Homer's Thebes: Epic Rivalries and the Appropriation of Mythical Pasts. Hellenic Studies Series 84. Washington, DC: Center for Hellenic Studies. http://nrs.harvard.edu/urn-3:hul.ebook:CHS_BarkerE_ChristensenJ.Homers_Thebes.2019.
2. The Labors of Herakles: Time 
ὅς περ φίλτατος ἔσκε Διὶ Κρονίωνι ἄνακτι,
ἀλλά ἑ μοῖρα δάμασσε καὶ ἀργαλέος χόλος Ἥρης.”
“For not even violent Herakles escaped his fate,
though he was most dear to lord Zeus, son of Kronos,
but fate tamed him and the anger of Hera, hard to endure.”
If even the mighty Herakles could not escape his fate, then what use is there for Achilles to bewail his? In this final reckoning, heroes are only semi divine; like us, they are fated to die.