 It is hard—from our modern perspective perhaps—to see how this answer could be completely satisfactory. In the first place it assumes that a clear distinction can be drawn between potential and actual infinities, something that was never fully achieved. Second, suppose that Zeno’s problem turns on the claim that infinite sums of finite quantities are invariably infinite. Then Aristotle’s distinction will only help if he can explain why potentially infinite sums are in fact finite (couldn’t we potentially add \(1 + 1 + 1 +\ldots\), which does not have a finite total); or if he can give a reason why potentially infinite sums just don’t exist. Or perhaps Aristotle did not see infinite sums as the problem, but rather whether completing an infinity of finite actions is metaphysically and conceptually and physically possible. We will briefly discuss this issue—of ‘Supertasks’—below, but note that there is a well-defined run in which the stages of Atalanta’s run are punctuated by finite rests, arguably showing the possibility of completing an infinite series of finite tasks in a finite time (Huggett 2010, 21–2). Finally, the distinction between potential and actual infinities has played no role in mathematics since Cantor tamed the transfinite numbers—certainly the potential infinite has played no role in the modern mathematical solutions discussed here.