Bolzano’s Mathematics and the General Methodology of the Sciences
Provisional programme (liable to re-ordering):
Concepts and methodology
1. Annapaola Ginammi, Arianna Betti: Bolzano’s theory of ground and consequence and the traditional theory of concepts
2. Paola Cantu: Bolzano’s requirement of a correct ordering of concepts and its inheritance in modern axiomatics
3. Michael Otte: Bolzano, Kant and the evolution of the concept of concept
The mathematical infinite and other problems
4. Johan Blok: Did Bolzano Solve the Eighteenth Century Problem of Problematic Mathematical Entities?
5. Elías Fuentes Guillén: On Bolzano’s early rejection of infinitesimals
6. Kateřina Trlifajova: Bolzano and the part-whole principle for infinite collections
7. Jan Sebestik: Looking at Bolzano’s mathematical manuscripts
8. Davide Crippa, Elías Fuentes Guillén, Jan Makovsky: Bernard Bolzano’s 1804 examination: mathematics and mathematical teaching in early 19th century Bohemia
Kinds of Numbers
9. Peter Simons: On the several kinds of number in Bolzano
10. Anna Bellomo: Bolzano’s measurable numbers: sets or sums?