Can we human beings agree on a set of values which will allow us to confront the numerous threats that we and our planet face? A. C. Grayling considers the three most pressing challenges facing the world: climate change, technology and justice, acknowledging that there is no worldwide set of values that can be invoked to underwrite agreements about what to do and not do in the interests of humanity and the planet in all these respects. As extreme weather events increase in frequency, advances in AI and military technology accelerate and inequities deepen everywhere, the question of how to confront the world’s various problems becomes even more urgent. If there is to be a chance of finding ways to generate universal agreement, the underlying question of values (together with the problem of relativism) has to be addressed. One part of the answer may lie in toleration and convivencia—the basis of coexistence among Muslims, Jews and Christians in the Iberian peninsula between the ninth and fifteenth centuries CE.