Final answer:
Socrates is portrayed as wishing to carry on speaking about philosophy and pursuing wisdom and knowledge about truth, beauty, goodness, and virtue. This subject relates to the defense of Socrates's life's work as a philosopher in the Apology.
Step-by-step explanation:
The subject of discussion in which Socrates is portrayed as wishing to carry on speaking with people is the philosophical life. In the Apology, Socrates defends his life's work as a philosopher and presents a defense of the kind of life he lived. He engaged in conversations with others, questioning them and pursuing wisdom and knowledge about truth, beauty, goodness, and virtue. This desire for learning and pursuing the truth ultimately led to his conviction and death.