Peer-reviewed journal articles
(Forthcoming) Barton, Neil `Forcing and the Universe of Sets: Must we lose insight?’. Forthcoming in the Journal of Philosophical Logic. Journal. PhilSci-Archive. Academia.edu.
(Forthcoming) Barton, Neil `Absence Perception and the Philosophy of Zero’. Forthcoming in Synthese. Journal. PhilSci-Archive.
(2020) Barton, Neil and Friedman, Sy-David `Maximality and Ontology: how axiom context varies across philosophical frameworks’. Synthese, Vol. 197, pp. 623–649. Journal. PhilSci-Archive. Academia.edu.
(2019) Barton, Neil; Caicedo, Andrés Eduardo; Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas; and Schindler, Ralf `Inner-model reflection principles’. Forthcoming in Studia Logica. Journal. arXiv.
(2017) Barton, Neil `Independence and Ignorance: How agnotology informs set-theoretic pluralism’. Journal of Indian Council of Philosophical Research, Volume 34, Issue 2, pp. 399–413. Journal. PhilSci-Archive. Academia.edu.
(2016) Barton, Neil `Richness and Reflection’. Philosophia Mathematica, 24 (3):330-359. Journal. PhilSci-Archive. Academia.edu.
Peer-reviewed book chapters
(Forthcoming)`Structural Relativity and Informal Rigour’. In: Objects, Structures, and Logics, FilMat Studies in the Philosophy of Mathematics, Boston Studies in the History and Philosophy of Science. PhilPapers.
(2019) Barton, Neil and Friedman, Sy-David `Set Theory and Structures’. In: Centrone S., Kant D., Sarikaya D. (eds) Reflections on the Foundations of Mathematics. Synthese Library (Studies in Epistemology, Logic, Methodology, and Philosophy of Science), pp. 223–253 vol 407. Springer, Cham. Book. PhilSci-Archive.
(2016) Barton, Neil `Multiversism and Concepts of Set: How much Relativism is acceptable?’. In Francesca Boccuni & Andrea Sereni (eds.), Objectivity, Realism, and Proof. Springer. pp. 189-209. Book. PhilSci-Archive. Academia.edu. YouTube.
(2020) Barton, Neil `Review: Categories for the Working Philosopher (Elaine Landry)’ Philosophia Mathematica, Volume 28, Issue 1, February 2020, Pages 95–108, Journal. Preprint.
(2015) Barton, Neil `Review: Pluralism in Mathematics: A New Position in Philosophy of Mathematics. By Michèle Friend. Logic, Epistemology and the Unity of Science, Springer, 2014.’ Philosophy, 90(4), pp. 685-691. Journal. Academia.edu
Under review/In preparation
(Submitted papers with a semi-stable draft can be accessed through the relevant preprint archive. Please e-mail if you would like to request a draft of an as yet unsubmitted paper.)
`Are Large Cardinal Axioms Restrictive?’ Submitted. PhilArchive.
`Indeterminacy and `The’ Universe of Sets: Multiversism, Potentialism, and Pluralism’ Submitted. PhilPapers.