Praxis, Diagramm, Körper. Die epistemologischen turns und die Rehabilitation von Kants Euklidizitätsthese

This paper aims to show how Kant’s concept of mathematical intuition and his thesis of the Euclidicity of space have been rehabilitated by recent interpretations that refer to the concepts of practice, diagrams, and the body. This involves criticising the idea of mathematics as a purely logical and axiomatic science, reading Kant’s theory of geometric intuition as a theory of diagrammatic visualizations, and showing how Kant’s idea of the Euclidicity of space can be justified with reference to embodied experience. These readings contradict the critique of Kant voiced by logicism and logical empiricism. They show that Kant’s notion of non-empirical intuition refers to the embeddedness of human cognition in embodied, media-based practices that function as a third epistemological realm alongside the conceptual and the empirical.