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Calypso wants Odysseus to stay with her on the island forever.
Calypso
The nymph Calypso begged Odysseus to stay with her.
Calypso offers Odysseus immortality and eternal youth if he would stay with her forever.
immortality.
Calypso and Odysseus become lovers. Calypso offers Odysseus immortality and eternal youth if he would stay with her. Calypso does not aid Odysseus' escape until told to do so, so he seemed trapped on her island without a ship.
He had no ship. And Calypso was in love with him and did not show him where to get material to build a ship.
Calypso offers to make Odysseus immortal and forever young if he will stay with her on her island. Odysseus respectfully refuses her offer.
Immortality
Calypso's island for seven years
Zeus sent Hermes to tell Calypso to set Odysseus free. Calypso offered Odyseus immortality to make him stay, but he refused to stay on Ogygia.
Because Odysseus loved his wife Penelope too much to stay.