Peer-reviewed journal articles
- “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)
Articles in preparation
- “The multiverse view and set-theoretic practice” (submitted).
- “Deep peer disagreement and epistemic goals: a case study in set theory” (submitted).
- “A Triptych on Empirical Philosophy of Mathematics” (with Benedikt Löwe) (in preparation).
- “Interestingness in set theory” (in preparation).
- “The continuum hypothesis in set-theoretic practice” (in preparation).
- “Forcing in set-theoretic practice” (in preparation).
- Disagreement and realism in set theory (with Matteo Zicchetti).
Monographs
- Independence and Naturalness in Set-theoretic Practice (2024). Studies in Theoretical Philosophy, Vittorio Klostermann.
- Das mengentheoretische Unabhängigkeitsphänomen (2024?). essentials, Springer Spektrum.
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) (forthcoming). In: Arbeiter, S.; Kennedy, J. (eds.) Penelope Maddy on the Philosophy of Mathematics. Outstanding Contributions to Logic, 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.
- “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
Editing
- Mathematicians at work (with José Antonio Pérez Escobar, Deniz Sarikaya, and Mira Sarikaya)
- “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)