In recent years, a series of high-quality books have been published on the so-called spatial turn. These works notwithstanding, lacunae remain in scholarship that interprets the role of spatial metaphors historically and against the backdrop of the history of science. In my own analyses, I contextualize the spatial metaphors in Foucault, Deleuze, and Lacan by tracing three different traditions of spatial thoughts. Conceived as a spatial history of poststructuralism, I juxtapose the spatial metaphors of Foucault’s archaeology of knowledge with Kant’s three-dimensional a priori, Deleuze’s topological models with Leibniz’s analysis situs, and Lacan’s depictions of the subject with Descartes’ perspectivity. The goal of my book is to illuminate the intellectual and scientific history of their images and to show that their metaphors are literal borrowings of the history of mathematics.
July 22, 2011