Elie Wiesel discusses the dangers of indifference in his speech "The Perils of Indifference". He argues that indifference allows suffering and injustice to persist in the world. Wiesel believes that when individuals stand by and do nothing in the face of problems, it empowers those causing harm and suffering. He urges people to fight indifference by speaking out, taking action, and defending basic human rights and dignity for all people.