Marx’s Mathematical Manuscripts : New Spacetime Coordinates for the Sociological Analysis of the End of Capitalism

ABSTRACT This essay introduces a sociological interpretation of Karl Marx’s Mathematical Manuscripts. It argues that the mathematical manuscripts concern the problem of providing the theoretical bases to reconceive dynamics of capital accumulation according to new spacetime coordinates, by means of the unthought epistemological implications of the late Marx’s acquisitions on differential calculus. For the circumscribed purpose of this argument, differential calculus can be understood in terms of how to conceive the notion of limit as a category to understand the transition to and from capitalism. In doing so, it aims at disclosing sociology at new horizons to rethink the operations of capitalism outside the spacetime logic of continuity but rather in discrete and topological spacetime, thereby elaborating insights into its structural crisis and historical demise.