Odysseus called himself Outis (=Nobody). He did not give Polyphemus a name.
The cyclops was already named Polyphemus. Odysseus did not name the cyclops.
Poseidon cursed Odysseus because Odysseus had blinded Poseidon's son, the cyclops Polyphemus. After doing this, Odysseus demonstrated his hubris by taunting Polyphemus and revealing what his actual name is. As a result, Polyphemus prayed to his father, who cursed Odysseus.
By revealing his real name, Odysseus allowed Polyphemus to curse him by name and call his father Poseidon to torment him.
Polyphemus
Odysseus gives Polyphemus a fake name, "Nobody," so that when he blinds Polyphemus and calls for help, the other Cyclopes would think that "Nobody" harmed him and wouldn't come to his aid. This clever deception allows Odysseus and his men to escape from the Cyclops' cave.
Polyphemus is easily outwitted by Odysseus when the latter tricks him by giving a false name ("Nobody"). Additionally, Polyphemus falls for Odysseus' plan by believing that the sheep in his flock are actually his men escaping. Lastly, his boastfulness and lack of insight make him vulnerable to Odysseus' cunning tactics.
Odysseus tells Polyphemus that his name is "Nobody" when asked for his name. This allows Odysseus to trick Polyphemus when he later blinds him and Polyphemus calls for help, claiming that "Nobody" is attacking him.
Polyphemus hadn't known that it was Odysseus in his house. Odysseus had lied and told Polyphemus (the cyclops) that his name was Nobody. Odysseus and his crew had also blinded Polyphemus.
Odysseus called himself Outis (=Nobody). He did not give Polyphemus a name.
Odysseus tells Polyphemus that his name is "Nobody."
Odysseus calls himself "Nobody" to trick the Cyclops Polyphemus in the Odyssey. This clever trick allows Odysseus to escape when he blinds Polyphemus and the other Cyclopes ask who harmed him. Polyphemus replies that "Nobody" has harmed him, so they do not come to his aid.
His name was Polyphemus .
The other Cyclopes think Polyphemus is saying that "Nobody" has tricked him. This is a clever play on words by Odysseus when he tells Polyphemus his name is "Nobody," so when Polyphemus shouts that "Nobody" has tricked him, the other Cyclopes do not understand that he is actually in trouble.
The cyclops was already named Polyphemus. Odysseus did not name the cyclops.
Poseidon cursed Odysseus because Odysseus had blinded Poseidon's son, the cyclops Polyphemus. After doing this, Odysseus demonstrated his hubris by taunting Polyphemus and revealing what his actual name is. As a result, Polyphemus prayed to his father, who cursed Odysseus.
By revealing his real name, Odysseus allowed Polyphemus to curse him by name and call his father Poseidon to torment him.