moreover, why does Tiresias initially refrain from divulging the truth to Oedipus and assembled others? What is Oedipus’s response to Tiresias’s refusal, and then later, to his accusations?
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It's always difficult when you kill your father and marry your mother! Still Oedipus wants the truth. Tiresias figures that the future is already set and telling Oedipus that he killed his father and scored with his mother isn't high on his list of things to do. Oedipus thinks the future of everything lies in the information and his anger mounts, he has to know. When he finds out, Oedipus goes through the regular stages of grief, denial being the big one here.
Oedipus does not want to accept the fact that Tiresius may be right, later on he still thinks his parents are the two in Corinth