International Conference “Modern Geometry and its Foundations”
University of Vienna
Online via Zoom: https://univienna.zoom.us/j/91584523987?pwd=MzlOMldidHFOM3JOaWg3OW1na3kxUT09
January 13-15, 2022 (CET)
Confirmed Speakers: Andrew Arana (Université de Lorraine, FRA), John T. Baldwin (University of Illinois at Chicago, USA), Joan Bertran-San Millán (University of Lisbon, POR), Francesca Biagioli (Università degli Studi di Torino), Paola Cantù (Aix-Marseille Université and CNRS), Davide Crippa (Centre for Science, Technology and Society Studies, CZ), Vincenzo De Risi (Université Paris-Diderot – CNRS, FRA), Walter Dean (University of Warwick, GB), Fiona T. Doherty (Bios Centre London, GB), Sébastien Gandon (Blaise Pascal University, FRA), Paolo Mancosu (UC Berkeley, USA), Elena Anne Corie Marchisotto (California State University, Northridge, USA), Tabea Rohr (Université de Lorraine, FRA), James Tappenden (University of Michigan, USA), Andreas Mueller (Independent Scholar, USA), Heather Burnett (CNRS, Université de Paris)
Organized by:
Georg Schiemer (University of Vienna)
Eduardo Nicolás Giovannini (University of Vienna)
and Günther Eder (University of Vienna)
Day 1 Thursday | January 13, 2022
11:00 – 11:15 Opening
11:15 – 12:15 Paola Cantù (Aix-Marseille Université and CNRS, FRA)
“Formalism and Geometry in Peano and Enriques”.
12:15 – 12:30 Break
12:30 – 13:30 Joan Bertran-San Millán (University of Lisbon, POR)
“Peano’s geometry: From empirical foundations to abstract development”.
13:30 – 15:30 Break
15:30 – 16:30 Francesca Biagioli (Università degli Studi di Torino, ITA)
“Federigo Enriques and Felix Klein on Mathematical Concept Formation”.
16:30 – 16:45 Break
16:45 – 17:45 Sébastien Gandon (Blaise Pascal University, FRA)
“Norbert Wiener’s early papers on the foundations of geometry. Axiomatics, construction and statistics”.
17:45 – 18:00 Break
18:00 – 19:00 Elena Anne Corie Marchisotto (California State University, Northridge, USA)
“H.S.M. Coxeter’s Theory of Accessibility as a Catalyst for the Exploration of Planes without Continuity and the Work of Mario Pieri in Synthetic Projective Geometry”.
Day 2 Friday | January 14, 2022
11:15 – 12:15 Vincenzo De Risi (Université Paris-Diderot – CNRS, FRA)
“The Discovery of Non-Euclidean Geometry and the Beginnings of Modern Mathematics”.
12:15 – 12:30 Break
12:30 – 13:30 Davide Crippa (Centre for Science, Technology and Society Studies, CZ)
“Bolzano’s Early Research on Elementary Geometry”.
13:30 – 15:30 Break
15:30 – 16:30 Andrew Arana (Université de Lorraine, FRA) and
Heather Burnett (CNRS, Université de Paris)
“Mathematical hygiene: a case study of Cartesian geometry”.
16:30 – 16:45 Break
16:45 – 17:45 Tabea Rohr (Université de Lorraine, FRA)
“The distinction between analytic and synthetic geometry from an axiomatic point of view “.
17:45 – 18:00 Break
18:00 – 19:00 James Tappenden (University of Michigan, USA)
“Frege, Contact Transformations and General Duality in 1895-1906”.
Day 3 Saturday | January 15, 2022
11:15 – 12:15 Paolo Mancosu (UC Berkeley, USA)
“How many points are in a segment? From Grosseteste to the theory of numerosities”.
12:15 – 12:30 Break
12:30 – 13:30 Walter Dean (University of Warwick, GB)
“On geometric consistency from the finitary standpoint”.
13:30 – 15:30 Break
15:30 – 16:30 Fiona T. Doherty (Bios Centre London, GB)
“Hilbertian structuralism in the philosophy of science”.
16:30 – 16:45 Break
16:45 – 17:45 John T. Baldwin (University of Illinois at Chicago, USA)and
Andreas Mueller (Independent Scholar, USA)
“Reflections on the DeZolt axiom: Mathematical, Philosophical and Historical”.
