### scholarly work

‘The Basic Laws of Cardinal Number’ and ‘Formal Arithmetic Before Grundgesetze’, in P. Ebert and M. Rossberg, *A Companion to Frege’s Grundgesetze*

‘Consistency and the Theory of Truth’, in *Review of Symbolic Logic*

‘Is Frege’s Definition of the Ancestral Correct?’, in *Philosophia Mathematica*

Truth in Frege" (with Robert May), forthcoming in M. Glanzberg, ed., *The Oxford Handbook of Truth*

"Introduction", in Crispin Wright, *The Riddle of Vagueness*, forthcoming from Oxford University Press

‘Frege Arithmetic and “Everyday Mathematics”’, *Philosophia Mathematica* 22 (2014), pp. 279–307

‘In Defense of Formal Relationism’, *Thought* 3 (2014), pp. 243–50

‘Intuition and the Substitution Argument’, *Analytic Philosophy* 55 (2014), pp. 1–30

"Semantics and Context-Dependence: Towards a Strawsonian Account", in A. Burgess and B. Sherman, eds., *Metasemantics: New Essays on the Foundations of Meaning* (Oxford: Oxford University Press, 2014), pp. 327–64

"The Function is Unsaturated" (with Robert May), in M. Beaney, ed., *The Oxford Handbook of the History of Analytic Philosophy* (Oxford: Oxford University Press, 2013), pp. 825–50

"Is Compositionality a Trivial Principle?", *Frontiers of Philosophy in China* 8 (2013), pp. 140–55

"Solving Frege's Puzzle", *Journal of Philosophy* 109 (2012), pp. 132-74

*Reading Frege's Grundgesetze* (Oxford: Oxford University Press)

"A Liar Paradox", *Thought* 1 (2012), pp. 36-40

"A Logic for Frege's Theorem," in *Frege's Theorem*, pp. 267-96

"Ramified Frege Arithmetic", *Journal of Philosophical Logic* 40 (2011), pp. 715-35

"The Composition of Thoughts" (with Robert May), *Noûs* 45 (2011), pp. 126-66

"The Existence (and Non-existence) of Abstract Objects", in *Frege's Theorem*, pp. 200-26

*Frege's Theorem* (Oxford: Oxford University Press)

"Frege's Theorem: An Overview", in *Frege's Theorem*, pp. 1-39

"Frege and Semantics," *Grazer Philosophische Studien* 75 (2007), pp. 27-63; also in *The Cambridge Companion to Frege*, ed. by T. Ricketts and M. Potter (Cambridge: Cambridge University Press, 2010), pp. 342-78

"Are There Different Kinds of Content?," in J. Cohen and B. McLaughlin, eds., *Contemporary Debates in the Philosophy of Mind* (Oxford: Blackwells, 2007), pp. 117-38

"Self-reference and the Languages of Arithmetic", *Philosophia Mathematica* 15 (2007), pp. 1-29

"Meaning and Truth-conditions", in *Truth and Speech Acts: Studies in the Philosophy of Language*, edited by D. Greimann and G. Siegwart (New York: Routledge, 2007), pp. 349-76

"Use and Meaning", in *The Philosophy of Michael Dummett*, edited by R.E. Auxier and L.E. Hahn (Chicago: Open Court, 2007), pp. 531-57

"Reason and Language", in C. Macdonald and G. Macdonald, eds., *McDowell and His Critics* (Oxford: Blackwell Publishing, 2006), pp. 22-45

"Idiolects," in J. J. Thomson and A. Byrne, eds., *Content and Modality: Themes from the Philosophy of Robert Stalnaker* (Oxford: Oxford University Press, 2006), pp. 61-92

"Frege's Contribution to Philosophy of Language" (with Robert May), E. Lepore and B. Smith, eds., *The Oxford Handbook of Philosophy of Language* (Oxford: Oxford University Press, 2006), pp. 3-39

"Julius Caesar and Basic Law V", *Dialectica* 59 (2005), pp. 161-78; reprinted in *Frege's Theorem*, pp. 111-26

"Truth and Disquotation", *Synthese* 142 (2004), pp. 317-52

"Frege on Identity and Identity-Statements: A Reply to Thau and Caplan," *Canadian Journal of Philosophy* 33 (2003), pp. 83-102

"Semantic Accounts of Vagueness", in J.C. Beall, ed., *Liars and Heaps* (Oxford: Oxford University Press, 2003), pp. 106-27

"Do Demonstratives Have Senses?" *Philosophers' Imprint* 2 (2002), http://philosophersimprint.org/002002/

"Non-conceptual Content and the 'Space of Reasons,'" *Philosophical Review* 109 (2000), pp. 483-523

"Cardinality, Counting, and Equinumerosity," *Notre Dame Journal of Formal Logic* 41 (2000), pp. 187-209; reprinted in *Frege's Theorem*, pp. 156-79

"Syntactic Reductionism", *Philosophia Mathematica* 8 (2000), pp. 124-49; reprinted in *Frege's Theorem*, pp. 180-99

"*Grundgesetze der Arithmetik* I §10," *Philosophia Mathematica* 7 (1999), pp. 258-92

"*Grundgesetze der Arithmetik* I §§29-32," *Notre Dame Journal of Formal Logic* 38 (1998), pp. 437-74

"*Die Grundlagen der Arithmetik* §§82-3" (with George Boolos), in M. Schirn, ed., *The Philosophy of Mathematics Today*, pp. 407-28; reprinted in George Boolos, *Logic, Logic, and Logic* (Cambridge MA: Harvard University Press, 1998), pp. 315-38; also reprinted, with a Postscript, in *Frege's Theorem*, pp. 69-89

"The Finite and the Infinite in Frege's *Grundgesetze der Arithmetik*", in M. Schirn, ed., *The Philosophy of Mathematics Today* (Oxford: Clarendon Press, 1998), pp. 429-66

"That There Might Be Vague Objects (So Far as Concerns Logic)", *The Monist* 81 (1998), pp. 277-99

"The Julius Caesar Objection," in R. Heck, ed., *Language, Thought, and Logic: Essays in Honour of Michael Dummett* (Oxford: Oxford University Press, 1997), pp. 273-308; reprinted in *Frege's Theorem*, pp. 127-55

"Tarski, Truth, and Semantics," *Philosophical Review* 106 (1997), pp. 533-54

"Finitude and Hume's Principle," *Journal of Philosophical Logic* 26 (1997), pp. 589-617; ; reprinted in R. T. Cook, ed., *The Arché Papers on the Mathematics of Abstraction* (Dordrecht: Springer, 2007), pp. 62-84; also reprinted, with a Postscript, in *Frege's Theorem*, pp. 237-66.

"The Consistency of Predicative Fragments of Frege's *Grundgesetze der Artithmetik*", *History and Philosophy of Logic* 17 (1996), pp. 209-20

"The Sense of Communication," *Mind* 104 (1995), pp. 79-106

"Definition by Induction in Frege's *Grundgesetze der Arithmetik*", in W. Demopoulos, ed., *Frege's Philosophy of Mathematics* (Cambridge MA: Harvard University Press, 1995), pp. 295-333; reprinted in M. Schirn, ed., *Frege: Importance and Legacy* (New York: de Gruyter, 1996), pp. 200-33

"Frege's Principle", in J.Hintikka, ed., *From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics* (Dordrecht: Kluwer, 1995), pp. 119-42; reprinted, with a Postscript, in *Frege's Theorem*, pp. 90-110.

"The Development of Arithmetic in Frege's *Grundgesetze der Arithmetik*", *Journal of Symbolic Logic* 58 (1993), pp. 579-601; reprinted, with a postscript, in Demopoulos, ed., *Frege's Philosophy of Mathematics*, pp. 257-94; also in *Frege's Theorem*, pp. 40-68

"A Note on the Logic of Higher-order Vagueness", *Analysis* 53 (1993), pp. 201-8; reprinted in D. Graff and T. Williamson, eds., *Vagueness* (Dartmouth: Ashgate, 2002), pp. 315-22.

"On the Consistency of Second-order Contextual Definitions", *Noûs* 26 (1992), pp. 491-4; reprinted, with a Postscript, in *Frege's Theorem*, pp. 227-36.