This article argues that Cox's Method of Historical Structures (MHS), although a highly useful tool for understanding the world, should be adapted to make it more effective as a framework for understanding world order in the twenty-first century. The advent of the method helped rejuvenate critical scholarship in international relations and international political economy during the 1980s. It offered a way out of the excessively structural approaches that had dominated critical thinking in the

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... 60s and 1970s. Cox's method enabled the unpacking of a structure, so that the components that made up any particular configuration could be considered analytically. Providing guidance on how to look at an historical order, and how to consider the component features of that structure, proved to be a revelation for many critical scholars of international relations. Surprisingly, given Cox's highlighting of the distinction between critical and problemsolving theory introduced in the same Millennium article, what really distinguishes Cox's approach, and why it has had the impact it has, is the pragmatism of the method. The MHS offers the possibility of a more closely reasoned analysis of world order than was previously available. It was the practical and somewhat systematic quality of the MHS that made it influential because it offered to facilitate empirical research by critical scholars. Thirty-five years on, the Method looks less satisfactory and this article offers some suggestions for its development.