Humanizing Mathematical Knowledge
Fallibility, Technology, Know-How
Fallibility, Technology, Know-How
An FIS Consolidator Grant project at the University School for Advanced Studies IUSS Pavia
2026
Silvia De Toffoli, "Mathematical Justification without Proof".
In G. Merlo, G. Melis, & C. Wright, (eds.) Self-Knowledge and Knowledge A Priori (pp. 374-91). Oxford University Press.
Ratio, forthcoming.
Mary Elworth, "Cognitive Artifacts and Their Affordances in Mathematical Practice: Cluster Algebras as a Case Study".
Synthese, 207(216), pp. 1-27.
Silvia De Toffoli, "The Philosophy of Mathematical Practice" (with Paolo Mancosu).
In E. N. Zalta & U. Nodelman (eds.), Stanford Encyclopedia of Philosophy.
Upcoming
Silvia De Toffoli, TBD.
Workshop on Jacob Stegenga’s Heart of Science, Nanyang Technological University, Singapore, 21 July 2026.
Mary Elworth, "Knowledge-How and Knowledge-That in the Construction and Use of Diagrams in Mathematics."
15th International Conference on the Theory and Application of Diagrams, Estonian Maritime Academy of Tallinn University of Technology, 24-28 August 2026.
Silvia De Toffoli, "Articulate Intuition."
12th European Congress of Analytic Philosophy, Complutense University of Madrid, 24-28 August 2026.
Brett Topey, "Is Answering Determinacy Worries Trivial? Logical and Mathematical Inferentialism and Semantic Ascent."
12th European Congress of Analytic Philosophy, Complutense University of Madrid, 24-28 August 2026.
Brett Topey, "Open Formulas, Eigenvariables, and the Determinacy of the Quantifiers" (joint work with Julien Murzi).
Quantifier Determinacy symposium, 12th European Congress of Analytic Philosophy, Complutense University of Madrid, 24-28 August 2026.
Mary Elworth, "Reasoning in Mathematics Using Diagrams: Which Kinds of Knowledge?"
Fifth International Conference of the Italian Network for the Philosophy of Mathematics, University of Bologna, 9-11 September 2026.
Silvia De Toffoli, TBD.
Masterclass in the Philosophy of Mathematical Practices, Vrije Universiteit Brussel, 16-18 September 2026.
Silvia De Toffoli, TBD.
Matters of Justification from Steup: New Arguments, New Angles workshop, Wayne State University, 9-11 June 2027.
Silvia De Toffoli, TBD.
MATH+ Friday Colloquium, Berlin Mathematical School, July 2027.
2026
Mary Elworth, "The Interplay of Know-How and Know-That in the Use of Diagrams in Mathematics."
2026 Triennial Conference of the Italian Society for Logic and the Philosophy of Sciences (SILFS), IUSS Pavia, 29 June-2 July.
Simone P. Roca, "Understanding Proofs as Models."
2026 Triennial Conference of the Italian Society for Logic and the Philosophy of Sciences (SILFS), IUSS Pavia, 29 June-2 July.
Brett Topey, "Is Answering Determinacy Worries Trivial? Logical and Mathematical Inferentialism and Semantic Ascent."
2026 Triennial Conference of the Italian Society for Logic and the Philosophy of Sciences (SILFS), IUSS Pavia, 29 June-2 July.
Silvia De Toffoli, "How to Prove Things with Diagrams" (Keynote).
MATHPIE2026: Argumentation and Proof in the Teaching and Learning of Mathematics and Interactions with Other Disciplines, University of Milan, 22-25 June.
Mary Elworth, "Constructing and Using Diagrams in Mathematics."
History and Philosophy of Mathematics Seminar, Laboratoire SPHere, Paris, 11 May.
Brett Topey, "Sensitivity, Lotteries, and Induction."
HUMATH Seminar Series, IUSS Pavia, 23 April.
Silvia De Toffoli, "The Technological Turn in Mathematics."
Collegio Ghislieri Seminar Series, Pavia, 8 April.
Silvia De Toffoli, "The Technological Turn in Mathematics."
Central Division Meeting of the American Philosophical Association, Chicago, 18-21 February.
Silvia De Toffoli, "The Technological Turn in Mathematics."
AI Epistemology workshop, UC Irvine and Chapman University, 6-7 February.
Silvia De Toffoli, "How to Prove Things with Diagrams."
Mathematical Colloquium, University of Southern California, 4 February.
Silvia De Toffoli, "Articulate Intuition."
8th International Meeting of the Association for the Philosophy of Mathematical Practice (APMP), Chapman University, 12-15 January 2026.
Silvia De Toffoli, "The Technological Turn in Mathematics."
Prospettive sulla matematica: dalla filosofia all'informatica workshop, University of Udine, January 2026.
2025
Silvia De Toffoli, "Humanizing Mathematical Knowledge."
Mathematical Proofs and Formalization workshop, IHPST Paris, 20 November.
Silvia De Toffoli, "Diagrams and Understanding from a Philosophical Perspective."
Cognitive Science of Mathematical Understanding workshop, Princeton University and Institute for Advanced Studies, 14-15 November.
Silvia De Toffoli, "L’Année dernière à Marienbad – Riflessioni ludico-matematico-filosofiche."
Mathematics in Games and Games in Mathematics event at Lucca Comics & Games 2025, IMT School for Advanced Studies Lucca and IUSS Pavia, 1 November.
Silvia De Toffoli, "Oltre il teorema, dentro il pensiero. Matematica e filosofia in dialogo" (with Ciro Ciliberto and Pierluigi Graziani).
Festival della Scienza di Genova, 25 October.