Question

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Explanation:

For the first question: Hektor is resolved to fight Achilleus, choosing either victory and safe return or a glorious death in battle rather than retreating.
For the second question: Hektor accepts that he will either defeat Achilleus or die gloriously in battle, which aligns with the ancient Greek focus on heroic honor and valor as core virtues, making heroic traits the key belief here.

Answer:

What is Hektor thinking about in this passage?
Hektor is resolved to fight Achilleus, choosing either to defeat him and return, or die gloriously in battle instead of retreating.

What ancient Greek belief does this passage most clearly suggest?
the value of heroic traits