You noted that after disposing of Irus, Odysseus tells him, “’no more playing the beggar-king for your, you loathsome fool’” (18.123). From Irus’ perspective, Odysseus disguised as beggar has supplanted him as the king of the beggars in
You also did a great job connecting this dual identity to the epithet Homer uses for Odysseus a few lines later when he calls him, “the one who knew the world” (18.144). Interestingly, you didn’t even bother to note the literal truth to this epithet. Odysseus ahs traveled the extent of the Greek world. Instead, you focused on the figurative meaning. Odysseus knows what it is like to be a king and what is like to be a beggar. He knows the world in the sense that he knows the extremes of human existence (at least for men).
By noticing Homer’s brief biography of Odysseus told in epithets—Laertes’ son, raider of cities, master of exploits—you also noted how Odysseus’ identity is complex and multi-faceted.
One idea I would have liked to have heard more about is Athena’s desire to make “anguish cut” into Odysseus (18.393). You connected this line to Athena telling Odysseus to test the suitors in book 17, but you didn’t ask why such testing is important to Athena. You did, however, question why Athena would make Odysseus look so strong when fighting Irus when Odysseus wants to remain anonymous. You didn’t really come to any conclusions, and I’m not sure there is one definitive reason, but I think it has to do with the tightrope Odysseus is walking. He wants to remain hidden, but he also wants the suitors to be on edge, to be off kilter.
