Publications

Journal publications

  1. (forthcoming) “Boolean-valued Class Forcing”,  with S. Friedman, V. Gitman, Fundamenta Mathematicae.
  2. (2020) “Universism and Extensions of V”, with N. Barton, S. Friedman, Review of Symbolic Logic. PhilArchive. Journal.
  3. (2017) “Hyperclass Forcing in Morse-Kelley Class Theory”, with S. Friedman,  Journal of Symbolic Logic. Arxiv. Journal.
  4. (2015) “Multiverse Conceptions in Set Theory”, with S. Friedman, R. Honzik, C. Ternullo, Synthese. Journal.

Book Chapters/Invited Contributions

  1. (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.
  2. (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.

Other

  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. arxiv.org . Book.

Submitted

  1. “Models as fundamental entities in set theory: a naturalistic and practice-based approach”.
  2. “Expanding the notion of inconsistency in mathematics: the theoretical foundations of mutual inconsistency”, manuscript for From Contradiction to Defectiveness to Pluralism in Science: Philosophical and Formal Analyses, O. Bueno, M. Martínez-Ordaz (Ed.), Synthese Library Book Series.
  3. “A general procedure for a Second Philosophy analysis into set-theoretic methodology”, with D. Kant, manuscript for Outstanding Contributions to Logic: Penelope Maddy, S. Arbeiter and J. Kennedy (Ed.), Springer. PhilArchive.

Editions

  1. (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.
  2. (2018) “The Hyperuniverse Project and Maximality”, with S. Friedman, R. Honzik, C. Ternullo, Birkhäuser Basel (Springer). Book.