The phrase "giving up the ghost" is an idiom that means to die or pass away. Its antonyms, or opposites, would be phrases that imply continued vitality, such as "living it up," "getting ahead," or "making the most of life." Other opposites could include phrases that represent perseverance and resilience, like "never giving in," "sticking it out," or "holding on tight." Ultimately, the antonyms for "giving up the ghost" all share a sense of determination and a refusal to give up in the face of adversity, representing a positive outlook on life and the drive to keep going no matter what challenges may arise.