Publications

Monographs

Number Concepts: An Interdisciplinary Inquiry (with Richard Samuels), Cambridge University Press, 2024.

Semantics and the Ontology of Number,  Cambridge University Press, 2021.

Articles

Restricted Nominalism about Number and its Problems (with Stewart Shapiro and Richard Samuels), Synthese, 2024.

Mass Nouns and Plural Logic (with Stewart Shapiro), in Themes from Weir:  A Celebration of the Philosophy of Alan Weir, Adam Rieger (ed). Springer, 2024.

Groups, Sets, and Paradox (with Stewart Shapiro), Linguistics and Philosophy, 2022.

Computability, Notation, and de re Knowledge of Numbers (with Stewart Shapiro and Richard Samuels), Philosophies, 2022.

Resolving Frege's Other Puzzle (with Richard Samuels and Stewart Shapiro), Philosophia Mathematica, 2021.

Unwarranted Philosophical Assumptions in Research on ANS (with John Opfer, Richard Samuels, and Stewart Shapiro), Brain and Behavioral Sciences, 2021.

Mereological Singularism and Paradox (with Stewart Shapiro), Erkenntnis, 2021.

Group Nouns and Pseudo-Singularity (with Stewart Shapiro), Thought, 2021.

Hofweber's Nominalist Naturalism (with Richard Samuels and Stewart Shapiro), Boston Studies in the Philosophy and History of Science, 2021.

Counting, Measuring, and the Fractional Cardinalities Puzzle, Linguistics and Philosophy, 2020.

Paradox in Natural Language (with Stewart Shapiro),  Iyyun: The Jerusalem Philosophical Quarterly, 2020.

How to Count 2 1/2 Oranges (with Jefferson Barlew), Australasian Journal of Philosophy,  2019.

Hale's Argument from Transitive Counting (with Richard Samuels and Stewart Shapiro),  Synthese, 2019.

Link's Revenge: A Case Study in Natural Language Mereology (with Stewart Shapiro),  in Philosophy of Logic and Mathematics: Proceedings of the 41st International Wittgenstein Symposium , 2019.

Neologicism, Frege's Constraint, and the Frege-Heck Condition (with Richard Samuels and Stewart Shapiro), Nous, 2018.

Cardinals, Ordinals, and the Prospects of a Neo-Fregean Foundations (with Stewart Shapiro and Richard Samuels), in Royal Institute of Philosophy Supplements: RIP Metaphysics, 2017.

Numbers and Cardinalities: What's Really Wrong with the Easy Argument for Numbers?, Linguistics and Philosophy, 2017.

The Universal Measurer (with Jefferson Barlew), Proceedings of Sinn und Bedeutung 20, 2017.

Frege on the Real Numbers (with Stewart Shapiro), in Essays on Frege's Basic Laws of Arithmetic, P. Ebert and M. Rossberg (eds.), Oxford University Press, 2016.

Vagueness and Context (with Stewart Shapiro), Inquiry, 2015. 

Binding, Genericity, and Predicates of Personal Taste, Inquiry 56, 278-306. 2013.