The Anarchy of Justice: Hesiod’s Chaos, Anaximander’s Apeiron, and Geometric Thought

Abstract

This article examines Hesiod’s Chaos and Anaximander’s apeiron individually and in relation to each other through the frame of René Descartes’ notion of natural geometry and through bounds and limits in Euclid and Immanuel Kant. Thanks to this frame, it shows that, in his poetic vision, Hesiod saw in Chaos the act of bounding such that different things can appear while, in his speculative vision, Anaximander saw in the apeiron the self-limiting limit of bounded things, which is to say, time as distinct from the temporality of bounded things resulting from Chaos. Thus, together, Chaos and the apeiron present the spatiotemporal order of the world. Finally, delving further into Anaximander’s fragment shows that the justice (dike) ruling over all includes the apeiron as the time foundational to temporality, meaning justice is without foundation and therefore anarchic.