   Of Diodorus’s four paradoxes (Sextus Empiricus, Against the professors 10.85–118), two rested on the hypothesis that matter and space are only finitely divisible, namely into vanishingly small quanta, termed by him ‘smallest and partless’ (elachista kai amerē) bodies and places. He may have postulated similar minima for time as well. Sextus calls the postulation of minima Diodorus’s ‘hypothesis’, but the denial of motion his ‘own doctrine’ (10.85–86), and we might do well to accept this distinction of status. Although there is plentiful evidence that Diodorus did himself endorse the thesis of minima as a correct account of the world’s constitution, it was a controversial view, to which a dialectician could not count on his interlocutors’ agreement. Hence in arguing against motion he may have treated it as a hypothesis, and designed some of his arguments to be independent of it.