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Axis History and philosophy of mathematics

Reading Ancient Mathematical Texts

This seminar is organized around a presentation of a primary source and the issues it raises, followed by a reading of this edited and translated source. A session can last up to 3 hours, and is conducted by experienced researchers, doctoral students, or even Master’s students. The working language is French or English depending on the case.

Organisers : Agathe Keller, Karine Chemla, (CNRS, CHSA, SPHere), and the associated group: H. Amini, F. Cornu, C. Singh, A. Volkov

PROGRAM 2021-2022

The sessions will take place as far as possible in room Gris 734-A of the Condorcet building, on Tuesdays (except in an exceptional case where it will be on Wednesday)..
Université de Paris, campus Diderot, 4, rue Elsa Morante, 75013 Paris (access map)

Dates 11/19 2022/01/4 postponed 02/1 03/8 04/6 05/10 05/31 06/7 06/28

  • Friday Novembre 19 2021, 2pm - 5pm
    Najaf Haider (Jawaharlal Nehru University)
    Accountancy, Record Keeping and Raqam Notation in the Mughal Empire: Reading BNF Manuscript of the Khulasatu’s Siyaq (Suplement Persan 303)

  • Tuesday January 4, 2022 !! session postponed to June 7

  • Tuesday February 1st, 2pm - 5pm
    Alexei Volkov (National Tsing-Hua University, China)
    Mathematical texts of Dunhuang

  • Tuesday March 8
    Karine Chemla (CNRS, SPHere) & A. Macé
    Equal and Unequal shares

  • Wednesday April 6, 2pm - 5 pm, Room Gris, 734A

    – Leila Hamouda (University Tunis El Manar)
    De la preuve géométrique à la preuve purement arithmétique en théorie des nombres chez les mathématiciens arabes: lectures d’al-Khāzin (du 10e siècle), Nassīr Eddīne Tūṣī, Kamel al-Dīn ibn Yūnis (du 13e siècle) et Frenicle (du 17e siècle).

    – Zeinab Karmanian (University of Teheran)
    The Recension of the Conics of Apollonius by Naṣīr al-Dīn al-Ṭūsī (13th century

  • Tuesday May 10
    Eleonora Sammarchi (ETH Zurich & SPHere)
    Numbers and fractions, numeri sani e numeri rotti. A comparison between Arabic arithmetical/algebraic sources and Abacus treatises
    • Extracts from:
      al-Uqlīdisī (10th cent.), Book on Indian Arithmetic; ed. and trans. Sa’īdān (1978)
      al-Zanjānī (13th cent.), Balance of the equation in the science of algebra and muqābala, ed. and trans. Sammarchi
      Piero Gherardi (14th cent.); Libro ài ragioni e Liber Habaci, ed. Arrighi (1987), trans. Van Egmond (1978)
      Anonimo (14th cent.), Trattato d’algibra. Ms. Fond. prin. II. V. 152, Biblioteca Nazionale di Firenze, ed. Franci & Pancanti (1988)
Those who wish to participate remotely are invited to contact Agathe Keller with keyword "10-05-22lect-maths" as subject of mail

Tuesday 31, 1pm - 4pm, Room Gris, 734A (tbc), hybrid

  • Alexander Jones (New York University, Institute for the Ancient World)
    Mathematical problems from some Greek papyri

  • Tuesday June 7
    Catherine Singh (SPHere)
    Quelques considérations autour du kuṭṭīkāra de Mahāvīrā (continued)

  • Tuesday June 28
    Next year’s program

. . . . . . . . . . . . . . . . . . . . . . . . .
University of Paris, campus Diderot, Building Condorcet, 4, rue ElsaMorante, 75013 - Paris
Map of campus with metro and buses stops.
Access: Metro line 14 / RER C / Station: Bibliothèque François Mitterrand
Metro line 6 / Station: Quai de la Gare
Bus 64 / stop: Tolbiac-Bibliothèque François Mitterrand
Bus 62 & 89 / stop: Avenue de France or Bibliothèque François Mitterrand (terminus)
Bus 325 / stop: Watt