## 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.

## Invited/Book Reviews

##### (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.