My book, Frege’s Conception of Logic, was published by Oxford University Press in 2012.
For the Book Symposium hosted by the APA and published in JHAP, see here.
Selected Essays:
- “Second Philosophy and Realism,” Penelope Maddy on the Philosophy of Mathematics, J. Kennedy and S. Arbeiter (eds), Springer, forthcoming
- “Frege on Caesar and Hume’s Principle,” Origins and Varieties of Logicism, A Foundational Journey in the Philosophy of Mathematics, F. Boccuni and A. Sereni (eds) Routledge 2021, 27-54.
- “Axioms in Frege,” Essays on Frege’s Basic Laws of Arithmetic, edited by Marcus Rossberg and Philip Ebert, Oxford University Press 2019, 31-56.
- “Models in Geometry and Logic: 1870-1920,” Logic, Methodology and Philosophy of Science – Proceedings of the 15th International Congress, edited by Niiniluoto, Seppälä, & Sober, College Publications 2017, 41-61.
- “Frege on Mathematical Progress,” Early Analytic Philosophy: New Perspectives on the Tradition edited by Sorin Costreie; Springer Verlag 2016, 3-19.
- “The Breadth of the Paradox,” Philosophia Mathematica Vol 24 No. 1 (2015), 30-49.
- “Reply to Cook, Rossberg, and Wehmeier,” Journal of the History of Analytic Philosophy, Vol 3 No. 7 (2015).
- “Gottlob Frege” in Oxford Handbook of German Philosophy in the Nineteenth Century, M. Forster and K. Gjesdal (eds), Oxford University Press 2015, 207-227.
- “Frege’s Critique of ‘Modern’ Axioms” in Frege: Freund(e) und Feind(e), Proceedings of the International Conference, Dieter Schott (ed), Berlin: Logos Verlag 2015, 105-120.
- “Frege on Formality and the 1906 Independence Test,” Formalism and Beyond: On the Nature of Mathematical Discourse, Godehard Link (ed), Boston/Berlin: de Gruyter 2014, pp 97-118.
- “From Logicism to Metatheory,” The Palgrave Centenary Companion to Principia Mathematica, B. Linsky and N. Griffin (eds), Palgrave Macmillan 2013, pp 59-78.
- “Frege on Shared Belief and Total Functions,” Journal of Philosophy CIX 1/2 (Jan/Feb 2012) pp 9-39.
- “Frege on Consistency and Conceptual Analysis,” Philosophia Mathematica 15, 3 (2007) pp 321-346.
- “The Frege-Hilbert Controversy” in the Stanford Encyclopedia of Philosophy. First posted 2007; major update 2018.
- “Logical Consequence,” Blackwell Guide to Philosophical Logic (Blackwell: Malden MA and Oxford 2001), 115-135.
- “Realism and Paradox,” Notre Dame Journal of Formal Logic 41, 3 (2000) 227-241.
- “Models and Modality,” Synthese Vol 124, No.1/2 (July 2000), 45-72.
- “Relative Identity and Cardinality,” Canadian Journal of Philosophy 29, No. 2 (June 1999), 205-224.
- “Frege and Hilbert on Consistency,” Journal of Philosophy XCIII (July 1996), 317-336.
- Reprinted in The Philosopher’s Annual Vol XIX (1998), 33-51.
- Reprinted in Gottlob Frege: Critical Assessments of Leading Philosophers Vol II (Reck, E. and M. Beaney, eds), Routledge 2005 pp 29-49.
- “Frege’s Reduction,” History and Philosophy of Logic 15 (1994), 85-103.
- “Fregean Thoughts and Indexicals,” CSLI Report CSLI-88-134, Center for the Study of Language and Information, Stanford University, Nov. 1988.