Model and Mathematics: From the 19th to the 21st Century

How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes between 1830 and 1950. Introduction.- Knowing by Drawing: Geometric Material Models in 19th Century France.- Wilhelm Fiedler and his Models—the Polytechnic Side.- Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry.- Modeling Parallel Transport.- The great yogurt project: models and symmetry principles in early particle physics.- Interview with Myfanwy Evans: Entanglements on and Models of Periodic Minimal Surfaces.- The dialectics archetypes / types (universal categorical constructions / concrete models) in the work of Alexander Grothendieck.- ‘Analogies,’ ‘Interpretations,’ ‘Images,’ ‘Systems’ and ‘Models’: Some Remarks on the History of Abstract Representation in the Sciences since the Nineteenth Century.- Mappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking circa 1900.- Thinking with Notations: Epistemic Actions and Epistemic Activities in Mathematical Practice.- Matrices – Compensating the Loss of Anschauung .- Interview with Anja Sattelmacher: Between Viewing and Touching – Models and Their Materiality.- Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the 19th and 20th Centuries.- Interview with Andreas Daniel Matt: Real-Time Mathematics.

The Cohn Institute for the History and Philosophy of Science and Ideas Humanities Faculty, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel

Cluster of Excellence “Matters of Activity. Image Space Material”, Humboldt-Universität zu Berlin, Berlin, Germany