Here's why:
* Beowulf is motivated by the desire for glory: He seeks out challenges and risks his life to defeat monsters, knowing that his bravery and strength will be celebrated in song and story. He desires the fame that comes with these victories.
* Fame is a motivator for Beowulf's actions: He travels to King Hrothgar's court, not out of obligation, but to defeat Grendel and gain renown. The same goes for his battles against Grendel's mother and the dragon.
* Fame is tied to Beowulf's legacy: He understands that his actions will be passed down through generations in tales and songs. By achieving great feats, he ensures his name will be remembered and honored long after his death.
* Fame reflects on his tribe: Beowulf's victories bring glory not just to himself, but to his Geatish people. He represents their strength and courage, and his fame reflects well on them.
* Beowulf's final request emphasizes the importance of fame: Before dying, he requests a great burial mound and a tower built to commemorate his deeds. This shows how deeply he values lasting fame.
However, it's important to note that Beowulf's desire for fame isn't simply vanity. He's motivated by a desire to be remembered as a great hero and to leave a positive mark on the world. He strives to achieve greatness not for personal gain, but for the good of his people and the preservation of his legacy.