A Functionalist Account of Epicurus’ Minima

Epicurus’ original version of atomism takes atoms to be physically indivisible but not completely unanalysable: each atom contains a finite number of minima. This paper explores the nature of the minima by focusing on a specific question: in which sense are the minima minimal? I do so by investigating the notions of parthood and divisibility into parts that are at play in paragraphs 56–59 of the Letter to Herodotus, where the theory of minima is introduced. By focusing on the analogy (noticed by Francesco Verde) between Epicurean minima and Aristotelian limits, I argue that the minima should be understood as the minimal realiser of the atom’s physical functions. This allows me to keep together two very plausible but apparently incompatible claims: (i) the minima are supposed to block the paradoxes of theoretical divisibility, but (ii) their existence and their indivisibility can only be justified in physical (rather than geometrical) terms.