Imperialism is a word that trips easily off the tongue. But it has such different meanings that it is difficult to use it without clarification as an analytic rather than a polemical term. I here define that special brand of it called ‘capitalist imperialism’ as a contradictory fusion of ‘the politics of state and empire’ (imperialism as a distinctively political project on the part of actors whose power is based in command of a territory and a capacity to mobilize its human and natural resources towards political, economic, and military ends) and ‘the molecular processes of capital accumulation in space and time’ (imperialism as a diffuse political-economic process in space and time in which command over and use of capital takes primacy). With the former I want to stress the political, diplomatic, and military strategies invoked and used by a state (or some collection of states operating as a political power bloc) as it struggles to assert its interests and achieve its goals in the world at large. With the latter, I focus on the ways in which economic power flows across and through continuous space, towards or away from territorial entities (such as states or regional power blocs) through the daily practices of production, trade, commerce, capital flows, money transfers, labour migration, technology transfer, currency speculation, flows of information, cultural impulses, and the like. What Arrighi refers to as the ‘territorial’ and the ‘capitalist’ logics of power are rather different from each other. To begin with, the motivations and interests of agents differ. The capitalist holding money capital will wish to put it wherever profits can be had, and typically seeks to accumulate more capital. Politicians and statesmen typically seek outcomes that sustain or augment the power of their own state vis-à-vis other states. The capitalist seeks individual advantage and (though usually constrained by law) is responsible to no one other than his or her immediate social circle, while the statesman seeks a collective advantage and is constrained by the political and military situation of the state and is in some sense or other responsible to a citizenry or, more often, to an elite group, a class, a kinship structure, or some other social group.