Capitalism beyond harmonious equilibrium: mathematics as if human agency mattered

Narrating a world of flux entails moving away from equilibrium-oriented thinking toward considerations of emergence, uncertain futures, and unintended consequences. This is not the exclusive domain of the qualitative theory construction and analysis that has dominated such thinking in sociospatial theory: it is also involved in mathematical theory construction. It requires a relational approach to mathematical theory, however, that moves beyond unidirectional claims of cause and effect, avoids deterministic and teleological thinking, and recognizes the incompleteness and openness of any such theoretical construction. These arguments are explored through an example that employs mathematical techniques often associated with complexity theory to examine unevenly shifting economic landscapes where the best guesses of capitalist entrepreneurs are interrelated with the emergent multiregional economy in which capitalists participate. This highlights the unexpectedly heightened dynamical importance of regions in a globally connected world; how cherished theoretical principles become renegotiated, as relationality leads to emergence; and that there is space for human agency, through modeling praxis appropriate to `incomplete systems'. We open modest cracks in the supposed wall between quantitative and qualitative approaches, oriented toward a methodological reinterpretation of what employing mathematical arguments could mean within larger, postpositivist theoretical projects in critical human geography. doi:10.1068/a411