Workshop: Modern Geometry – Origins and Foundations

Workshop “Modern Geometry  – Origins and Foundations”
Department of Philosophy
Universitätsstraße 7, University of Vienna, 1010 Vienna
February 24-26, 2021 (online)

Confirmed Speakers: Andrew Arana (Université de Lorraine), Davide Crippa (Academy of Sciences of the Czech Republic), Eduardo Giovannini (University of Vienna and National Scientific and Technical Research Council, CONICET), Fiona Doherty (University of Stirling), Francesca Biagioli (Università degli Studi di Torino), Georg Schiemer (University of Vienna)
Paola Cantù (Aix-Marseille Université and CNRS), Sébastien Gandon (Université Clermont Auvergne), Tabea Rohr (Université de Lorraine), Vincenzo de Risi (Université Paris-Diderot – CNRS)

Workshop „Modern Geometry – Origins and Foundations“, February 24-26, 2021

Organized by: Georg Schiemer (University of Vienna),
Eduardo Giovannini (University of Vienna and National Scientific and Technical Research Council, CONICET) and Günther Eder (University of Vienna)

Day 1 Wednesday | February 24, 2021
10:00 – 10:15 Opening
10:15 – 11:00 Vincenzo de Risi (Université Paris-Diderot – CNRS, FRA)
“Theories of angles and Euclid’s Fourth Postulate”.
11:00 – 11:15 Break
11:15 – 12:00 Francesca Biagioli (Università degli Studi di Torino, ITA)
“Felix Klein and Federigo Enriques on mathematical concept formation”.
12:00 – 12:15 Break
12:15 – 13:00 Andrew Arana (Université de Lorraine, FRA)
“Einstein on purity in geometry”.

Day 2 Thursday | February 25, 2021
10:00 – 10:45 Davide Crippa (Academy of Sciences of the Czech Republic, CZ) and
Eduardo Giovannini (University of Vienna, AUT and National Scientific and Technical Research Council, CONICET, ARG)
“On the `Cartesian’ Significance of David Hilbert’s Grundlagen der Geometrie”.
10:45 – 11:00 Break
11:00 – 11:45 Sébastien Gandon (Université Clermont Auvergne, FRA)
“Logic, Geometry and Interpretation. Nicod against Bergson”.
11:45 – 12:00 Break
12:00 – 12:45 Paola Cantù (Aix-Marseille Université and CNRS, FRA)
“Geometric Calculus and Logic: Grassmann and Peano”.

Day 3 Friday | February 26, 2021
10:00 – 10:45 Fiona Doherty (University of Stirling, UK)
“Hilbert’s Grundlagen der Geometrie and Early Structuralism”.
10:45 – 11:00 Break
11:00 – 11:45 Tabea Rohr (Université de Lorraine, FRA)
“The Frege-Hilbert-Controversy in Context”.
11:45 – 12:00 Break
12:00 – 12:45 Georg Schiemer (University of Vienna, AUT)
“How geometry became structural”.

30-minutes presentations followed by 15 minutes for discussion on topic.

This event is funded by: ERC project “The Roots of Mathematical Structuralism” (no. 715222), the FWF project “Purity and Abstraction in Modern Geometry” (no. 2803-G) and the FWF project “Axiomatizing Metatheory – Frege’s New Science” (no. P 30448)

For further information, please contact florian.kolowrat( AT )univie.ac.at