IUSS Philosophy Workshop
L&PIC - Linguistics & Philosophy IUSS Center.
Epistemology and Philosophy of Mathematics
Mathematical Concepts: Analysis, Definitions and Explications
Scuola Universitaria Superiore IUSS Pavia - www.iusspavia.it
June 5-6, 2025
The workshop, hosted on June 5-6 by the Linguistics & Philosophy Center at the School of Advanced Studies IUSS Pavia, will explore ongoing research related to a variety of methods traditionally involved in conceptual clarification of logico-mathematical concepts, in the foundations of mathematics and, more generally, in logical and mathematical theorizing: conceptual analysis, explicit and implicit definitions, and explications.
The workshop is organized in collaboration with the Scuola di Studi Superiori Ferdinando Rossi (SSST) of the University of Turin, and is funded by the EFC—Educating Future Citizens initiative, a network of higher education schools supported by Italy’s National Recovery and Resilience Plan (PNRR). The initiative aims to enhance guidance and advanced training activities and offer new opportunities to high school, university and doctoral students. It is also part of the activities of the PRIN National Project PUMa: Proof and Understanding in Mathematics. Purity of Methods, Simplicity, and Explanation in Mathematical Reasoning (Funded by the European Union - Next Generation EU).
Workshop Program:
Thursday, June 5
10.00-11.20: Paola Cantù (Université Aix-Marseille) -- Can definitions play an epistemological role in axiomatics?
11.20-11.40: short break
11.40-13.00: Caterina Del Sordo (Universidad del País Vasco) -- Reassessing Carnap’s Rational Reconstruction
13.00-14.30: lunch break
14.30-15.50: Robert May (University of California, Davis) -- Value-Ranges
15.50-16.30: coffee break
16.30-17.50: Richard Lawrence (University of Vienna) -- Naming and Generality
Friday, June 6
10.00-11.20: Alexander Paseau (University of Oxford) -- What is Formalisation?
11.20-11.40: short break
11.40-13.00: Göran Sundholm (Leiden University) -- Functions
13.00-14.30: lunch break
14.30-15.50: Jonas Raab (Ludwig-Maximilians-University Munich) -- Explication and Definition
15.50-16.30: coffee break
16.30-17.50: Francesca Biagioli (University of Turin, SSST Ferdinando Rossi) -- Implicit definitions: Enriques, Schlick, and Carnap
Commentators at large
Bahram Assadian (University of Leeds)
Francesca Boccuni (San Raffale, Milan)
Ludovica Conti (University of Vienna)
Matteo De Ceglie (IUSS Pavia)
Silvia De Toffoli (IUSS Pavia)
Luca Zanetti (IUSS Pavia)
Attending doctoral students (Winners of doctoral attendance grants)
Aylén Melisa Bavosa Castro (University of Buenos Aires)
Andrés Dominique Diaz Rojas (University of Barcelona)
Atahan Erbas (KU Leuven)
Antônio Mesquita (Autonomous University of Madrid)
Tyko Schuff (MCMP Munich)
Gioia Susanna (University of Oslo)
Organizers: Francesca Biagioli (University of Turin, SSST Ferdinando Rossi), Rachel Boddy (IUSS Pavia), Nicolo' Cambiaso (IUSS Pavia), Andrea Sereni (IUSS Pavia)
Venue: Sala del Camino, Palazzo del Broletto, Piazza della Vittoria 15, Pavia, Italy
Info at: rachel.boddy@iusspavia.it, andrea.sereni@iusspavia.it
Funded by:
EFC—Educating Future Citizens
PRIN project PUMa “Proof and understanding in mathematics. Purity of methods, simplicity, and explanation in mathematical reasoning”.
Funded by the European Union---Next Generation EU.