Final answer:
In Greek myth, Minerva represents wisdom and warfare, demanding respect from mortals. The transformation of Medusa for her hubris is an example of the consequences of disrespecting gods. It's unwise for mortals like Arachne to challenge deities, which is evident in Minerva's stories.
Step-by-step explanation:
The mythological tale of Minerva (Athena) teaches a lesson on hubris and respect for the divine. A common thread in the summaries given is the assertion of the gods' superiority over humans and the repercussions of challenging this authority. For example, Medusa's transformation into a gorgon by Athena after a comparison of beauty is a result of hubris. Similarly, the stories where Minerva is represented in various arts or mythological battles reiterate her power and the folly of underestimating the gods.
The reference to Minerva being guarded by Terror and Fear in one narrative exemplifies how the goddess symbolizes both wisdom and warfare, underlining the respect that she commands. In contrast, Minerva's transformation of Medusa after being compared to the goddess stresses the idea that mortals should not equate themselves with deities.
The depiction of Minerva in the provided texts is intended as a representation of her power, wisdom, and her capacity for violence against those who displease her. Arachne’s foolishness lies in not recognizing the inherent risk in challenging a powerful deity like Minerva, which is a grave mistake in the context of Greek mythology.