  Certainly some of those puzzled by Zeno’s dichotomy argument against motion (see Zeno of Elea 2.2.1) had sought to resolve the puzzlement by postulating a smallest magnitude. That solution, although rejected by Aristotle, was defended by his contemporary Xenocrates, a leading Platonist. Diodorus, a generation later, can be seen taking up this supposed solution to the Zenonian paradox and showing that it itself in fact generates a new motion paradox, the first of his four. (1) A minimal and partless body could never be moving, he argues, because it always exactly fills the minimal space that it occupies. It may next appear in a precisely adjacent space, but in the intervening time it could never be in transition from the one space to the other: that would have required its being partly in and partly not in the original space, whereas what has no parts cannot be ‘partly’ in anything. (The basic argument goes back to Plato, Parmenides 138d–e and Aristotle, Physics 6.10.)