This paper historicises the emergence (and subsequent power) of geographical abstractions. Following Karl Marx in the Grundrisse, I argue that one of the central features of modern capitalist society is rule by abstractions. As both Derek Sayer and Henri Lefebvre argue, such abstractions enact forms of violence within the societies subjected to their rule. The three geographical abstractions I consider are space, nature, and scale. Whilst I argue that some forms of abstraction are transhistorical, my interest is more in how these transhistorical abstractions rub up against new forms specific to capitalist societies. In particular, following Alfred Sohn-Rethel, I am interested in the role played by the exchange abstraction in producing distinctive spatial relations, a commoditised nature, and new forms of scalar hierarchy. The paper sheds light on the utility of a historical–geographical materialist approach for situating the production of violent geographical abstractions and envisaging a world free from their domination.
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