The complexity of Oedipus's character is that he is eager to save the city and he is courageous.
The character of Oedipus however is complex because, as the protagonist of the story, he is abandoned by his parents, kills his father, and marries his mother.
Oedipus is having a very hard time comprehending Teiresias because he believes that Teiresias and Creon have hand in the death of Laius,
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