This Article crystallizes and then critiques a prominent view about the role of international law in the global order. The view - what I call the cooperation thesis - is that international law serves to help global actors cooperate, specifically by: (1) curbing their disputes, and (2) promoting their shared goals. The cooperation thesis often appears as a positive account of international law; it purports to explain or describe what international law does. But it also has normative force; international law is widely depicted as dysfunctional when it does not satisfy the thesis. In particular, heated or intractable conflict is thought to betray the limits of international law - to show that, on some issues, international law is not serving...