The theoretical interpretation of social and economic change in the Brazilian Amazon has been dominated by a political economy in which the notion of the frontier, variously defined, has been central. Brazil is of course not the only country where a fuzzily defined idea of frontier development has been important, and we can think, as Turner did for the United States, of a Brazilian frontier thesis. It can be boiled down to a simple contention, although the arguments are often complicated: the frontier, now restricted to Amazonia, is the absorption of peripheral regions by an expanding capitalism. This perspective, fundamental to numerous studies of Amazonia, sees a tendency towards homogeneity in economic structure and social relations in the cycle of frontier development, with capitalism ending up as the dominant force. It regards the key subjects in the dynamic of the frontier as the peasantry, who are acted upon by the bourgeoisie and the state, and argues that the dynamic of events within the frontier is determined outside it, in the forms of capital accumulation in the national economy and the way regional economies are articulated to it. Although first formulated in the 1970s, it remains overwhelmingly the most influential theoretical approach to explaining Amazonia's modern history, irrespective, one is sometimes tempted to think, of the direction that history has actually taken.