Publications

Monograph

Peer-reviewed journal articles

  • “Mathematical conventionalism and mathematical practice” (with Giorgio Venturi) (submitted).
  • The multiverse view and set-theoretic practice” (2025). Kriterion – Journal of Philosophy vol. 39 (1-2), pp. 4974. (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 vol. 35 (3), pp. 247278. (open access)
  • 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

  • “Forcing in Set-Theoretic Practice” (submitted). In: Paseau, A. (ed.) Blackwell Companion to the Philosophy of Mathematics.
  • “Frege’s Full Comprehension Scheme in Modern Mathematics” (draft). In: Schott, D. (ed.) Gottlob Frege: Proceedings of the 4th International Frege Conference.
  • 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, pp. 103–129. 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. Cham: Springer, pp. 85–105.
  • 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. 326. 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), pp. 215–234.
    • Part III: How? (2025). Philosophia Mathematica Volume 33, Issue 2, June 2025, pp. 253–267
  • Das mengentheoretische Unabhängigkeitsphänomen: Eine Welt jenseits der mathematischen Beweiskraft (2025). essentials, Springer Spektrum.

Editing

Translation

  • A. George, D. Velleman: Zur Philosophie der Mathematik – Logizismus, Intuitionismus, Finitismus, Gödel’sche Unvollständigkeitssätze. Springer Spektrum, 2018. (English to German, with Th. Bedürftig)