Selected Bibliography

Philosophical Uses of Categoricity Arguments, with Jouko Väänänen, Cambridge 2023.
A Plea for Natural Philosophy and Other Essays, Oxford 2022.
What Do Philosophers Do? Skepticism and the Practice of Philosophy, Oxford 2017.
The Logical Must: Wittgenstein on Logic, Oxford 2014.
Defending the Axioms, Oxford 2011.
Second Philosophy, Oxford 2007.
Naturalism in Mathematics, Oxford 1997.
Realism in Mathematics, Oxford 1990.

The Philosophy of Penelope Maddy, S. Arbeiter and J. Kennedy, eds., (a collection of essays with replies), Springer, to appear.

‘Wittgenstein on mathematics’, Philosophical Investigations 47 (2024), special issue on Wittgenstein’s philosophy of mathematics.
‘On multiversism’, to appear in S. Arbeiter and J. Kennedy, eds., The Philosophy of PM.
‘Strawson on naturalism and skepticism’, to appear in D. Pritchard et al, eds, Scepticism and Naturalism, Brill.
‘Varieties of naturalism in logic’, to appear in F. Ferrari et al, eds, Oxford Handbook of the Philosophy of Logic.
‘Wittgenstein’, forthcoming in A. Khani and G. Kemp, eds., Wittgenstein and Other Philosophers.
‘A reconstuction of Steel’s multiverse project’, Bulletin of Symbolic Logic 26 (2020), pp. 118-169.
‘A plea for natural philosophy’, in A Plea for Natural Philosophy and Other Essays.
‘On the question of realism’, in A Plea for Natural Philosophy and Other Essays.
‘Wittgenstein on hinges‘, in A Plea for Natural Philosophy and Other Essays.
‘Enhanced if-thenism‘, in A Plea for Natural Philosophy and Other Essays.
APA Book Session on ‘What Do Philosophers Do? — Introductory overview and Replies to Coliva, Leite, and Stroud.
‘Reply to Ternullo on the multiverse‘, to appear in S. Centrone, D. Kant, and D. Sarikaya, eds., Reflections on the Foundations of Mathematics.
‘What do we want a foundation to do? Comparing set-theoretic, category-theoretic, and univalent approaches’, to appear in S. Centrone, D. Kant, and D. Sarikaya, eds., Reflections on the Foundations of Mathematics.
‘Psychology and the a priori sciences‘, in S. Bangu, ed., Naturalizing Logico-Mathematical Knowledge, 2018.
‘Set-theoretic foundations’, in Caicedo et al, eds., Foundations of Mathematics, 2017.
‘Mathematical depth’, Philosophia Mathematica, 2015.
‘A second philosophy of arithmetic‘, Review of Symbolic Logic, 2014.
‘A second philosophy of logic’, in P. Rush, ed., The Metaphysics of Logic, Cambridge University Press, 2014.
‘The philosophy of logic’, ASL retiring presidential address, Bulletin of Symbolic Logic, 2012.
‘Naturalism and common sense‘ (Hume and Reid), Analytic Philosophy, Volume 52, issue 1, March 2011, pp. 2-34.
‘Naturalism, transcendentalism and therapy‘, in J. Smith and P. Sullivan, eds., Transcendental Philosophy and Naturalism, Oxford University Press, 2011.
‘How applied mathematics became pure’, Review of Sybolic Logic, 2008.
‘Mathematical existence‘, Bulletin of Symbolic Logic, September 2005.
‘Second philosophy‘, Lakatos Award Lecture, published in Journal of Indian Council of Philosophical Research, July-September 2003
‘Three forms of naturalism‘, in S. Shapiro, ed., Oxford Handbook of Philosophy of Logic and Mathematics.
‘A naturalistic look at logic ‘, Proceedings of the APA, November 2002.
‘Some naturalistic reflections on set theoretic method’, Topoi, 2001.
‘Naturalism: friends and foes’, in J. Tomberlin, ed., Philosophical Perspectives 15, Metaphysics 2001, Blackwell 2001.
‘Naturalism and the a priori’, in P. Boghossian and C. Peacocke, eds., New Essays on the A Priori,Oxford, 2000.
‘Logic and the discursive intellect’, Notre Dame Journal of Formal Logic, 1999.
‘Wittgenstein’s anti-philosophy of mathematics’, in J. Czermak and K. Paul, eds., Wittgenstein’s Philosophy of Mathematics, 1993.
‘Believing the axioms, Part I’ , and ‘Believing the axioms, Part II’ , Journal of Symbolic Logic, 1988. (For a copy with corrections, click here)
‘Proper classes‘, Journal of Symbolic Logic, 1983, and ‘A theory of sets and classes‘, in Sher and Tieszen, eds., Between Logic and Intuition: essays in honor of Charles Parsons, 2000.