Final answer:
The discussed prophecies involve Oedipus, who was destined to kill his father as per the oracle of Delphi, and Gil-Dong, whose father feared he would bring downfall to his house. These prophecies highlight the theme of a self-fulfilling prophecy in literature.
Step-by-step explanation:
The prophecy was about Oedipus, who was fated to kill his father and marry his mother, as per the oracle at Delphi's prediction. This ancient prophecy is a central element of the Greek tragedy 'Oedipus Rex' by Sophocles, where despite all efforts to avoid his destiny, Oedipus inadvertently fulfills the grim prophecy. Similarly, in the tale of Gil-Dong, a prophecy leads to a father, Hong Pansa, believing his son will bring destruction upon his house, and thus, he considers eliminating him.
In both narratives, the idea of a self-fulfilling prophecy is prominent, with the characters' actions to prevent the prophecy actually leading to its fulfillment. This theme is common in literature and often explores the complex relationship between fate and free will.