Monograph
- 1. Pragmatic Insights into Set-theoretic Independence: Exploring Disagreement and Agreement among Practitioners (2025). Studies in Theoretical Philosophy vol. 12, Frankfurt am Main: Vittorio Klostermann.
Peer-reviewed journal articles
- “Mathematical conventionalism and mathematical practice” (with Giorgio Venturi) (submitted).
- 2. “The multiverse view and set-theoretic practice” (2025). Kriterion – Journal of Philosophy vol. 39 (1-2), pp. 49–74. (open access)
- 3. “Three Roles of Empirical Information in Philosophy: Intuitions on Mathematics do Not Come for Free” (with José Antonio Pérez-Escobar and Deniz Sarikaya) (2021). Kriterion – Journal of Philosophy vol. 35 (3), pp. 247–278. (open access)
- 4. “Mathematizing as a virtuous practice: different narratives and their consequences for mathematics education and society” (with Deniz Sarikaya) (2020). In: Aberdein, A.; Rittberg, C. J.; Tanswell, F. (eds.): Virtue Theory of Mathematical Practices, Synthese 199, pp. 3405–3429. (open access)
Book chapters
- 5. “Forcing in Set-Theoretic Practice” (forthcoming). In: Paseau, A. (ed.) The Blackwell Companion to the Philosophy of Mathematics. Wiley-Blackwell.
- 6. “Frege’s Full Comprehension Scheme in Modern Mathematics” (forthcoming). In: Schott, D. (ed.) Gottlob Frege: Proceedings of the 4th International Frege Conference. Springer.
- 7. “The hidden use of new axioms” (2025). In: Antos, C.; Barton, N.; Venturi, G. (eds.) The Palgrave Companion to The Philosophy of Set Theory. Cham: Palgrave Macmillan, preprint
- 8. “A general framework for a Second Philosophy analysis of set-theoretic methodology” (with Carolin Antos) (2024). In: Arbeiter, S.; Kennedy, J. (eds.) The Philosophy of Penelope Maddy. Outstanding Contributions to Logic, vol 31. Cham: Springer,
- “Gespräch mit Arnold Oberschelp, dem Vorsitzenden der DVMLG von 1970 bis 1976″ (with Deniz Sarikaya) (2022). In: Löwe, B.; Sarikaya, D. (eds.) 60 Jahre DVMLG.
- 9. “Interview with a set theorist” (with Mirna Džamonja) (2019). In: Centrone, S.; Kant, D.; Sarikaya, D. (eds.): Reflections on the Foundations of Mathematics – Univalent Foundations, Set Theory and General Thoughts. Synthese Library, Springer, pp. 3–26. preprint
Other
- “A Triptych on Empirical Philosophy of Mathematics” (with Benedikt Löwe)
- 10. Part I: Why? (submitted)
- 11. Part II: Who? (2024). Annals of Mathematics and Philosophy, vol. 2 (1), pp. 215–234.
- 12. Part III: How? (2025). Philosophia Mathematica Volume 33, Issue 2, June 2025, pp. 253–267
- 13. Das mengentheoretische Unabhängigkeitsphänomen: Eine Welt jenseits der mathematischen Beweiskraft (2025). essentials, Springer Spektrum.
Editing
- Mathematicians at work (with José Antonio Pérez Escobar, Deniz Sarikaya, and Mira Sarikaya) (in preparation)
- “Linguistically Informed Philosophy of Mathematics: How the study of mathematical texts contributes to the investigation of philosophical problems” (with Bernhard Fisseni, Deniz Sarikaya and Bernhard Schröder) (in progress), Topical Collection in Synthese.
- Reflections on the Foundations of Mathematics – Univalent Foundations, Set Theory and General Thoughts (with Stefania Centrone and Deniz Sarikaya) (2019). Synthese Library, Springer.
Translation
- A. George, D. Velleman: Zur Philosophie der Mathematik – Logizismus, Intuitionismus, Finitismus, Gödel’sche Unvollständigkeitssätze. Springer Spektrum, 2018. (English to German, with Th. Bedürftig)