BOOKS
- Under Contract: How to Prove Things with Diagrams, Oxford University Press (UK)
- Under Contract: Human Epistemology of Mathematics, Cambridge University Press, Elements Series.
ARTICLES
- “What mathematical explanation need not be,” (with Elijah Chudnoff) Journal of Mathematical Behavior, 79 (101255):1-12, 2025.
- “Mathematical Justification without Proof,” in: Giovanni Merlo, Giacomo Melis & Crispin Wright (eds.), Self-knowledge and Knowledge A Priori. Oxford University Press, forthcoming.
- “PROOFS FOR A PRICE: Tomorrow’s Ultra-Rigorous Mathematical Culture,” BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY, Volume 61, Number 3, 395–410, 2024.
- “The Epistemic Roles of Diagrams,” in: Kurt Sylvan, Ernest Sosa, Jonathan Dancy & Matthias Steup (eds.), The Blackwell Companion to Epistemology, 3rd edition. Wiley Blackwell, forthcoming.
- “The Epistemological Subject(s) of Mathematics,” The Handbook of the History and Philosophy of Mathematical Practice, Ed: Bharath Sriraman, Springer Nature. 2880-2904. 2024.
- “Who’s Afraid of Mathematical Diagrams?,” Philosophers’ Imprint, 23:1, 1-20, 2023.
- “Recalcitrant Disagreement in Mathematics: An Endless and Depressing Controversy in the History of Italian Algebraic Geometry,” (with Claudio Fontanari), Global Philosophy 33 (38): 1-29. 2023.
- “Objectivity and Rigor in Classical Italian Algebraic Geometry” (with Claudio Fontanari) Noesis, No. 38, 195-212, 2022.
- “What are mathematical diagrams?” Synthese, 200:86, 1-29, 2022.
- “What is Mathematical Rigor?,” (with John P. Burgess) Aphex, 25, 1-17, 2022.
- “Intersubjective Propositional Justification,” Propositional and Doxastic Justification: New Essays on Their Nature and Significance, Eds: Paul Silva Jr. & Luis Oliveira, Routledge, 2022.
- “Groundwork for a Fallibilist Account of Mathematics,” The Philosophical Quarterly, Volume 7, Number 4, pp. 823-844, 2021.
- “Reconciling Rigor and Intuition,” Erkenntnis, Volume 86, pp. 1783-1802, 2021.
- “Leopardi: Everything is Evil,” in: Ed: A. P. Chignell, Evil: A History, Oxford University Press, pp. 350-357, 2019.
- “‘Chasing’ The Diagram – The Use of Visualizations in Algebraic Reasoning,” The Review of Symbolic Logic, Volume 10, Issue 1, pp. 158-186, 2017.
- “Envisioning Transformations – The Practice of Topology,” (with Valeria Giardino), in: Ed: B. Larvor, Mathematical Cultures, Birkhäuser, pp. 25-50, 2016.
- “An inquiry into the practice of proving in low-dimensional topology,” (with Valeria Giardino), in: Eds: G. Lolli, M. Panza, G. Venturi, From Logic to Practice, Boston Studies in the Philosophy and History of Science, Volume 308, pp. 315-336, 2015.
- “Forms and roles of diagrams in knot theory,” (with Valeria Giardino), Erkenntnis, Volume 79, pp. 829-842, 2014.
EDITORIAL WORK
- Greg Priest, Silvia De Toffoli, and Paula Findlen (Editors), Special issue of Endeavour, Tools of Reason: The Practice of Scientific Diagrammatic from Antiquity to the Present, 2018. With a co-authored introduction: “Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present,” Endeavour, Volume 42 (2-3), pp. 49–59, 2018.
- Silvia De Toffoli, Yacin Hamami, Matthew Inglis, Juan Pablo Mejía Ramos (Editors), Special issue of Journal of Mathematical Behavior, Mathematics Education meets the Philosophy of Mathematical Practice, forthcoming. With a co-authored introduction: “Mathematics Education meets the Philosophy of Mathematical Practice,” forthcoming.
WORK IN PROGRESS
- “The Philosophy of Mathematical Practice” (with Paolo Mancosu) in preparation for the Stanford Encyclopedia of Philosophy.
- “Diagrams and Visualization in Mathematics” in preparation for: Routledge Handbook of the History of Philosophy of Science, Ed: Flavia Padovani and Adam Tamas Tuboly.
- “La dinamicità dei diagrammi” (with Agnese Del Zozzo)
- A paper on intuition and inference (with Eli Chudnoff)
- A paper on trust in mathematics (with Fenner Tanswell)
- A paper on intuition in the Italian School for Algebraic Geometry (with Michael Friedman)