• (submitted 2023) “Defectiveness of formal concepts”. PhilArchive.

Journal publications

  1. (2022) “”Models as fundamental entities in set theory: a naturalistic and practice-based approach”, Erkenntnis.
  2. (2021) “Boolean-valued Class Forcing”, (with S.-D. Friedman, V. Gitman), Fundamenta Mathematicae.
  3. (2020) “Universism and Extensions of V”, with N. Barton, S. Friedman, Review of Symbolic Logic. PhilArchive. Journal.
  4. (2017) “Hyperclass Forcing in Morse-Kelley Class Theory”, with S. Friedman,  Journal of Symbolic Logic. Arxiv. Journal.
  5. (2015) “Multiverse Conceptions in Set Theory”, with S. Friedman, R. Honzik, C. Ternullo, Synthese. Journal.

Book Chapters/Invited Contributions

  1. (accepted and forthcoming) “”A general procedure for a Second Philosophy analysis into set-theoretic methodology”, (with D. Kant), Outstanding Contributions to Logic: Penelope Maddy, S. Arbeiter and J. Kennedy (editors), Springer.
  2. (accepted and forthcoming) “”Expanding the notion of inconsistency in mathematics: the theoretical foundations of mutual inconsistency”, From Contradiction to Defectiveness to Pluralism in Science: Philosophical and Formal Analyses, O. Bueno, M. Martínez-Ordaz (Hrsg.), Synthese Library Book Series. 
  3. (forthcoming) “Modern class forcing”, (with V. Gitman), Research Trends in Contemporary Logic, M. Fitting, D. Gabbay, M. Pourmahdian, A. Rezus, A. Daghighi (Ed.), College Publications. PhilArchive.
  4. (2021) “Conceptions of Infinity and Set in Lorenzen’s Operationist System”, in: Proceedings der Konferenz “Paul Lorenzen: Mathematician and Logician”, Series Logic, Epistemology and the Unity of Science, Springer. PhilArchive. Book.


  1. (under contract) “”The Palgrave Companion to the Philosophy of Set Theory”, (with N. Barton, G. Venturi), Palgrave Macmillan.
  2. (2020) “The Foundations of Mathematics: Competing Foundations, New Axioms and the Set-Theoretic Multiverse”, with N. Barton, S. Friedman, C. Ternullo, J. Wigglesworth, Special Issue of Synthese, Volume 197. Book.
  3. (2018) “The Hyperuniverse Project and Maximality”, with S. Friedman, R. Honzik, C. Ternullo, Birkhäuser Basel (Springer). Book.


  1. (2020) “Introduction to special issue on the foundations of mathematics”, with N. Barton, S. Friedman, C. Ternullo, J. Wigglesworth, Synthese. Book.
  2. (2018) “Class Forcing in Class Theory”, In: The hyperuniverse project and maximality, Eds. C. Antos, S. Friedman, R. Honzik, C. Ternullo, Birkhäuser Basel, 2018. . Book.