## Peer-reviewed journal articles

##### (Forthcoming) Barton, Neil; Caicedo, Andrés Eduardo; Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas; and Schindler, Ralf `Inner-model reflection principles’. Forthcoming in *Studia Logica*. arXiv.

##### (Forthcoming) Barton, Neil and Friedman, Sy-David `Maximality and Ontology: how axiom context varies across philosophical frameworks’. Forthcoming in *Synthese*. Journal. PhilSci-Archive. Academia.edu.

##### (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) Barton, Neil and Friedman, Sy-David `Set Theory and Structures’. Forthcoming in *Reflections on the foundations of mathematics: univalent foundations, set theory, and general thoughts*, Springer. 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

##### (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 PhilSci-Archive or arXiv. Please e-mail if you would like to request a draft of an as yet unsubmitted paper.)

##### `Absence Perception and the Philosophy of Zero’. Submitted. PhilSci-Archive.

##### `Forcing and the Universe of Sets: Must we lose insight?’. Submitted. PhilSci-Archive. Academia.edu.

##### `Large Cardinals and the Iterative Conception of Set’. Submitted. PhilSci-Archive.

##### (with Claudio Ternullo and Giorgio Venturi) `On forms of justification in set theory’. Sumbitted. PhilSci-Archive.

##### (with Carolin Antos and Sy-David Friedman) `Universism and extensions of V’. Submitted. arXiv. Academia.edu.

##### `Modality, mathematics, and time: A recurring flaw in modal arguments’.

##### `Algebraic Levels in Mathematical Structuralism’.

##### `Structural relativity and informal rigour’.

##### (with Carolin Antos) `Forcing’. *Internet Encyclopedia of Philosophy. *

## Other

##### (2016) *Executing Gödel’s Programme in Set Theory. *PhD Thesis, Birkbeck College (University of London). Final version.

##### (Unpublished) How to write a good philosophy paper (a short guide for beginning philosophy students). Paper.