Axis History and philosophy of mathematics
Mathematics 19th and 20eth, History and Philosophy 2017–2018
The seminar on the history and philosophy of modern mathematics is a place of presentation and discussion of mathematical texts produced in the 19th and 20th centuries, in both historical and philosophical perspectives. It intends to serve as a place of exploration (reading, translation, explanation) of mathematical documents little or poorly known, but also to present work in progress on these periods. The emphasis is on proximity to textual sources. The sessions usually take the form of a discussion of the said sources (to which speakers give prior access), preceded by a historical or mathematical exposition.
Coordination: Frederic Jaeck, Nicolas Michel, Ivahn Smadja
Archives : 2015-2016, 2014-2015, 2013-2014, 2012-2013, 2011-2012.
SCHEDULE 2017 – 2018: sessions (in French) take place at the University Paris Diderot, Building Condorcet 4, rue Elsa Morante, 75013 Paris – Access map.
| Thema |
Speakers |
Room |
| 16/01/2018, 16:00 – 19:00 |
| The transfer principle of Hesse |
N. Michel |
646A |
| Reading of Thomas Hawkins’ article "Hesse’s principle of transfer and the representation of Lie algebras", based on original sources from the works of Hesse, Klein and Lie. |
| 13/02, 16:00 – 19:00 |
| The Brill-Noether Report on Clebsch-Gordan Theory |
E. Penchèvre |
Mondrian, 646A |
| Translation and explanation of the passage in Bericht of the Brill-Noether concerning the work of Clebsch and Gordan. |
| 20/03, 16:00 – 19:00 |
| Geometry and contemporary geometries |
R. Alexandre |
Rothko, 412B |
| With the help of the work of William Thurston, we will examine what today means the expression "to make geometry", as well as the plurality of geometries. |
| 9/04, 16:00 – 19:00 |
| The Levi-Civita treatise on the absolute differential calculus |
R. Tazzioli |
Malevitch, 483A |
| We will read and discuss excerpts from Tullio Levi-Civita’s treatise on the absolute differential calculus of 1925, making historical detours by other classical works of tensor calculus, especially on a famous memoir of Curbastro and Levi Civita of 1901, whose 1925 Treaty proposes a reconstruction for educational purposes. |
| 22/05 !!! 15:30 – 18:30 !!! |
| The lattice theory as a social category |
S. Decaens |
Malevitch, 483A |
| tba |
