Powers of One: The Mathematicalization of the Occult Sciences in the High Persianate Tradition

TLDR: A survey of the Islamicate encyclopedic tradition from the 4th to the 17th centuries, with emphasis on Persian classifications of the sciences, demonstrates the ascent to philosophically mainstream status of various occult sciences throughout the post-Mongol Persianate world as discussed by the authors.

Abstract: Occultism remains the largest blind spot in the historiography of Islamicate philosophy-science, a casualty of persistent scholarly positivism, even whiggish triumphalism. Such occultophobia notwithstanding, the present article conducts a survey of the Islamicate encyclopedic tradition from the 4th–11th/10th–17th centuries, with emphasis on Persian classifications of the sciences, to demonstrate the ascent to philosophically mainstream status of various occult sciences (ʿulūm ġarība) throughout the post-Mongol Persianate world. Most significantly, in Persian encyclopedias, but not in Arabic, and beginning with Faḫr al-Dīn Rāzī, certain occult sciences (astrology, lettrism and geomancy) were gradually but definitively shifted from the natural to the mathematical sciences as a means of reasserting their scientific legitimacy in the face of four centuries of anti-occultist polemic, from Ibn Sīnā to Ibn Ḫaldūn; they were simultaneously reclassified as the sciences of walāya, moreover, which alone explains the massive increase in patronage of professional occultists at the Safavid, Mughal and Ottoman courts in the runup to the Islamic millennium (1592 CE). I argue that the mathematicalization, neopythagoreanization and sanctification of occultism in Ilkhanid-Timurid-Aqquyunlu Iran is the immediate intellectual and sociopolitical context for both the celebrated mathematization of astronomy by the members of the Samarkand Observatory in the 9th/15th century and the resurgence of neoplatonic-neopythagorean philosophy in Safavid Iran in the 10th/16th and 11th/17th, whereby Ibn Sīnā himself was transformed into a neopythagorean-occultist—processes which have heretofore been studied in atomistic isolation.