Final answer:
According to Achilles, the gods have woven fate into mortal lives, as depicted in Greek mythology and literature.
Step-by-step explanation:
According to the references provided, Achilles believed that the gods have woven fate, or destiny, into mortal lives. This concept is explored in Greek mythology and is depicted in various texts and artworks. For example, in the Iliad, Achilles is a great hero who is invincible except for his vulnerable heel, hence the term 'Achilles heel.' The idea of fate and the influence of gods on mortal lives is a recurring theme in Greek literature.