 The problem of infinity is one of the philosophical topics relating to mathematics that was most extensively discussed in medieval Islamic philosophy. There are many treatises which argue that no number can be infinite. For instance, in response to a series of questions raised by Abū Mūsā ʿĪsā Ibn Usayyid, Thābit Ibn Qurra discusses the nature of numbers and argues that there is no infinite number. Moreover, he shows that the infinite sets of numbers can be of different sizes (Pines 1968; Sabra 1997; Mancosu 2009: sec. 2; M. Rashed 2009; Zarepour 2020b: sec. 4.2). Yaḥyā Ibn ʿAdī (d. 974), in his Treatise on the Infinite (Maqala fī ghayr al-mutanāhī), provides a different set of arguments to establish that infinity is not predicable upon numbers (McGinnis 2010: sec. 3). But the following three arguments for finitism are probably the most discussed in the Islamic tradition: