Monograph
- Pragmatic Insights into Set-theoretic Independence: Exploring Disagreement and Agreement among Practitioners (2025). Studies in Theoretical Philosophy vol. 12, Vittorio Klostermann.
Peer-reviewed journal articles
- “The multiverse view and set-theoretic practice” (2025). Kriterion – Journal of Philosophy (open access).
- “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 (open access)
- “Mathematizing as a virtuous practice: different narratives and their consequences for mathematics education and society” (with Deniz Sarikaya) (2020). In: Aberdein, Andrew; Rittberg, Colin J.; Tanswell, Fenner (eds.): Virtue Theory of Mathematical Practices, Synthese. (open access)
Book chapters
- “The hidden use of new axioms” (forthcoming). In: Antos, C.; Barton, N.; Venturi, G. (eds.) The Palgrave Companion to The Philosophy of Set Theory. Palgrave, preprint
- “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. Springer, Cham.
- “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.
- “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)
- Part I: Why? (submitted)
- Part II: Who? (2024) Annals of Mathematics and Philosophy, vol. 2 (1).
- Part III: How? (to appear in: Philosophia Mathematica).
- Eine Welt jenseits der mathematischen Beweiskraft: Das mengentheoretische Unabhängigkeitsphänomen (2025, in press). 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.
Articles in preparation
- “Applications of set theory in other mathematical domains” (in preparation)
- “Forcing in set-theoretic practice” (in preparation).
- “Interestingness in set theory” (in preparation).
- “The continuum hypothesis in set-theoretic practice” (in preparation).
- Disagreement and realism in set theory (with Matteo Zicchetti, in preparation).
Translation
- A. George, D. Velleman: Zur Philosophie der Mathematik – Logizismus, Intuitionismus, Finitismus, Gödel’sche Unvollständigkeitssätze. Springer Spektrum, 2018. (English to German, with Th. Bedürftig)