The Incommensurable and the Visible: Gaetano Chiurazzi’s Ontology of Incommensurability and Merleau-Ponty’s Theory of Perception

Abstract

In Dynamis. Ontologia dell’incommensurabile, Gaetano Chiurazzi offers an account of the philosophical sense and implications of the discovery of incommensurable magnitudes in ancient thought. In his study, Chiurazzi presents the scope of the idea of incommensurability in contrast to those theories that have interpreted perception as the primary access to reality. Chiurazzi claims that the discovery of incommensurable relations, such as that of “1/square root of 2,” which expresses the relation between the side and the diagonal of a square, introduces the conception of asymmetrical relations into Western epistemology and ontology. This conception finds in the modern idea of transcendental philosophy its mature formulation. In this paper, I draw on Maurice Merleau-Ponty’s proposal of a phenomenology of perception in order to critically evaluate the working assumption in Chiurazzi’s account that perception is the faculty of intuition that seizes upon the individual and therefore as “atomic” in nature.