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As someone has already commented, the confusion is between Aegeus and Poseidon. This question does not have many alternate interpretations, it's just that it's never made clear, who the father of Theseus is. In Wikipedia the double paternity is addressed:
Still without a male heir, Aegeus asked the oracle at Delphi for advice. Her cryptic words were "Do ...
answered Apr 28 '15 at 17:58
codingEnthusiast
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Ancestors of the Mother of Odysseus
Neither of Odysseus' grandparents was a deity, although the most celebrated ancestral connection between Odysseus and a god is, indeed, his descent from Hermes, who was the father of the famous thief Autolycus, the father of Anticleia, the mother of Odysseus. So Hermes was Odysseus' great-grandfather.
It then follows, ...
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