In this paper, my aim is to present an unexplored aspect of the Arabic ethical tradition—greatness of spirit—and to assess its philosophical merit. As philosophers in this tradition approach it, greatness of spirit is essentially a virtue of moral aspiration. I consider two construals of the virtue, one as a second-order virtue, another as a virtue whose closest cousin is neo-Aristotelian emulousness. It is the latter that enables us to pick out the substantive commitments the virtue incorporates. These include its emphasis on open-ended aspiration and its self-referential elements. Having isolated these controversial features, I outline some possible defences.