 These words are Aristotle’s not Zeno’s, and indeed the argument is not even attributed to Zeno by Aristotle. However we have Simplicius’ opinion ((a) On Aristotle’s Physics, 139.24) that it originates with Zeno, which is why it is included here. Aristotle begins by hypothesizing that some body is completely divisible, ‘through and through’; the second step of the argument makes clear that he means by this that it is divisible into parts that themselves have no size—parts with any magnitude remain incompletely divided. (Once again what matters is that the body is genuinely composed of such parts, not that anyone has the time and tools to make the division; and remembering from the previous section that one does not obtain such parts by repeatedly dividing all parts in half.) So suppose the body is divided into its dimensionless parts. These parts could either be nothing at all—as Zeno argued above—or ‘point-parts’. If the parts are nothing then so is the body: it’s just an illusion. And, the argument concludes, even if they are points, since these are unextended the body itself will be unextended: surely any sum—even an infinite one—of zeroes is zero.