What was Odysseus reasoning as he called out to Polyphemus that he Odysseus was the one who put out his eye?

Odysseus wanted to taunt and provoke Polyphemus for his cruel treatment of him and his men. By revealing his identity, Odysseus was claiming credit for outsmarting the giant and showing his bravery. Additionally, Odysseus hoped to undermine Polyphemus's sense of invincibility and incite him to seek revenge, leading to an opportunity for escape.