Conferences

17-18 December 2025 (hybrid form)

Using and Thinking Numbers in the Medieval and Early Modern Mediterranean World

Bern Universität, Hauptgebäude, Raum 033, Hochschulstrasse 4. To attend the conference online, please write an email to medimath.momug@unibe.ch

Organization: Eleonora Sammarchi. Conference logistics: Nubya Evelyne Wyss. Communication design: Nicolas Grégoire-Veyrié

Programme

Wednesday 17 December 2025

Chair: Clelia Crialesi (SPHere, Université Paris Cité)

9.30 – 10.00    | Welcome and Presentation of the MediMath Team

10.00 – 10.45  | Johannes Thomann (University of Zürich) Liberating Mathematical Objects from the Platonic Ghetto: Aristotle’s Metaphysics, Books Μ and Ν and Averroes’ Restraint in his Middle Commentary

10.45 – 11.15  | Break

11.15 – 12.00  | David Rabouin (CNRS-SPHere) What History for Surd Numbers? Reflections on Some Ancient Sources

12.00 – 12.45  | Graziana Ciola (Radbound University) From the Imaginable to the Imaginary: Late-Medieval Semantics and the Roots Complex Mathematics

12.45 – 14.15  | Lunch break

Chair: Bijan Vahabzadeh (SPHere-CHSPAM)

14.15 – 15.00  | Marc Moyon (XLIM-University of Limoges) Measuring with Numbers: Geometric Computation and Unit Systems in Fibonacci’s Practica Geometriae

15.00 – 15.45  | Petra Schmidl (MOSAIC-FAU Erlangen-Nürnberg) Al-Ashraf ˁUmar’s Tabṣira: Chapter l. Hindu-Arabic Numerals in an Example from 13th century Yemen

15.45 – 16.15  | Break

16.15 – 17.45  | Roundtable: “Numbers Outside Mathematics: Focus on Arts” in collaboration with Berner Mittelalter Zentrum and MOMuG Research Talks

Corinne Mühlemann (IKG, UniBe): The Woven Grid: Counting Threads and the Logic of the Loom

Beate Fricke (IKG, UniBe): 4 Elements, 5 Zones.

Cristina Urchueguía (MUSIK, UniBe): Harmony by Numbers

Björn Bentlage (MOMuG, UniBe): A Numbers’ Game, Literally: Math in Early Modern Arabic Literature

Thursday 18 December 2025

Chair: Nicolas Grégoire-Veyrié (University of Bern)

9.00 – 9.45     | Michael Friedman (University of Bonn) Using Numbers in Medieval Jewish Mathematical Manuscripts: The Case Study of the Ḥibbur and the Tashbetz

9.45 – 10.30    | Agathe Keller (CNRS-SPHere) Use and Conception of 0 and 1 in the Bakhshālī Manuscript: a Reflexion on Place Holders, Operands and Numbers in Arithmetic in a Medieval Middle Indic Source

10.30 – 11.15  | Roy Wagner (ETH-Zürich) Some Anecdotes on Zeros, Negative Numbers, and a Proto-Series-Expansion

11.15 – 11.40  | Break

11.40 – 12.25  | Veronica Gavagna (University of Florence) The Algebraic World of Numbers in Cardano and Bombelli

12.25 – 13.00  | Eleonora Sammarchi (University of Bern) Numbers in Pacioli’s Summa

Thursday 5 June 2025, 10:00-16:00 (hybrid form)

Cross-cultural trajectories in early modern mathematics

Joint conference between MediMath and the Chair of History and Philosophy of Mathematical Sciences (ETH-Zürich). Organizers: E. Sammarchi and R. Wagner.

Programme

9:30-10:00 Coffee and welcome

10:00-11:00 Alex Garnick (Harvard University) The relationship of geometrical analysis to algebra across Arabic and Latin sources in the seventeenth century: evidence from manuscripts in the network of Jacob Golius

11:00-12:00 Eleonora Sammarchi (University of Bern) Who are “the Arabs” in early modern arithmetical-algebraic texts? Focus on the "Maumetto di Mosé arabo" of Bombelli's Algebra.

12:00-13:15 Lunch

13:15-14:15 Damian Moosbrugger (ETH-Zürich) The mixing of mathematical practices in Benjamin Bramer’s geometrical treatise Quaestiones (1618)

14:15-14:30 Break

14:30-15:30 Roy Wagner (ETH-Zürich) Potential transmission of knowledge from Kerala to Europe around cubic equations and sine calculation

15:30-16:30 Arilès Remaki (JGU Mainz) Disposition and Interpretation: the Bouvet-Leibniz hypothesis on the Chinese table of the Yi-Jing

Room: F -105 Lerchenweg 36, 3012, Bern

If you wish to attend the meeting online, please write an email to medimath.momug@unibe.ch