Acharya Prashant explains that the moment an individual becomes ready to improve themselves, they immediately gain hope that the world can also improve. He suggests that those who claim the world or others cannot change are actually reflecting their own inability to change. When one experiences the taste of purity and innocence, they naturally desire to share it with everyone, leading to hope and eventually faith. He emphasizes that a person who is truly improving cannot tolerate remaining pure while others remain impure.