The discussion presents a solution to the barber paradox, identifying Eric Barber from a neighboring village as the barber who shaves himself and others. It humorously suggests that he and the other barber, a woman, shave each other due to a lack of trust in others, especially with cutthroat razors involved. This unconventional resolution adds a layer of humor while addressing the paradox. The conversation highlights the importance of trust in the context of the paradox. Ultimately, the solution creatively resolves the dilemma surrounding the barber's shaving practices.