 Unlike Bradwardine, Oresme shows that of two actual infinites neither is greater or smaller than the other. This result is different from Bradwardine’s, because Oresme’s result does not necessarily imply equality between actual infinites. Moreover Oresme shows that cases can be conceived in which two infinites can be regarded as unequal, but this unequality is not to be understood in the sense of ‘smaller’ or ‘greater’ (Oresme does not contradict himself), but rather in the sense of ‘different’. Since comparable quantities are either equal to one another or one is smaller or greater than the other, Oresme concludes that actual infinites are incomparable: that is, that notions like ‘smaller’, ‘bigger’, and ‘equal’ do not apply to infinites (Sesiano 1996; Kirschner 1997, 79–83, 88–92). Oresme’s treatment of the infinite was extensively used by Pierre Ceffons when he commented the Sentences in Paris in 1348–1349 (Mazet 2004, 175–182).