Abstract

Wholes have parts, and wholes are prior to parts according to Aristotle. Aristotle’s accounts of continuity, in _Phys_. V 3 (plus sections in Metaph. Δ 6 and Ι 1) on the one hand and in _Phys_. VI on the other, are specified in terms of ways in which wholes are related to parts. The synthesis account in Phys. V 3 etc. applies primarily to bodies (in, e.g., anatomy). It indicates a variety of ways in which parts of a body are kept together by a common boundary and are thereby combined into a mostly inhomogeneous, functional whole. Only the analysis account in _Phys_. VI applies primarily to linear continua such as movements, paths of movements, and time. The structure it indicates is only superficially described as indefinite divisibility: what matters is the transfer of potential divisions from path to movement and time (and conversely) which, surprisingly, requires an equivalent to Dedekind’s continuity principle to be tacitly presupposed. – In the present paper, my agenda will focus on the exposition of the relevant theories offered by Aristotle in _Phys_. V 3 and _Phys_. VI 1-2, respectively, with a view to the applications envisaged by Aristotle and to the mathematics involved.