Howard Heck and the Loser James Brown

Researchers @ Brown


Reading Frege'sBasic Laws (Oxford: Oxford University Press, 2012)

  • Philip Ebert,Phlosophia Mathematica 23 (2015), pp. 289-93 (Oxford Journals)
  • Gregory Landini,European Journal of Philosophy 22 (2014), pp. 159-172 (Wiley Online)
  • Oran Magal,Philosophical Quarterly 64 (2014), pp. 526-9 (Oxford Journals)
  • Marcus Rossberg,Notre Dame Philosophical Reviews (2014) (NDPR Online)

Frege's theorem (Oxford: Oxford University Press, 2011)

  • Aldo Antonelli,International Studies in the Philosophy of Science 26 (2012), pp. 219-35 (EbscoHost)
  • John P. Burgess,Journal of Philosophy 109 (2012), pp. 728-32 (JPhil Online)
  • Roy Cook,Philosophia Mathematica 20 (2012), pp. 346-59 (Oxford Journals)
  • Philip Ebert,Philosophical Quarterly 64 (2014), pp. 166-9 (Oxford Journals)
  • Bob Hale,Min 123 (2014), pp. 437-56 (Oxford Journals Online)

Language, Thought, and Logic: Essays in Honor of Michael Dummett (Oxford: Oxford University Press, 1997), editor

  • William Demopoulos,Journal of Symbolic Logic 63 (1998), pp. 1598-1602 (JSTOR)
  • Raymond Woller,The Review of Metaphysics 53 (2000), pp. 701-703 (JSTOR)


"The Basic Laws of Cardinal Number", forthcoming in P. Ebert and M. Rossberg, eds.,A companion to Frege'sBasic Laws.

"Formal Arithmetic BeforeBasic Laws", forthcoming in P. Ebert and M. Rossberg, eds.,A companion to Frege'sBasic Laws.

"The Frontloading Argument", Forthcoming inPhilosophical Studies.

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

"Logicism, Ontology, and the Epistemology of Second-Order Logic", in Ivette Fred and Jessica Leech, eds,Being Necessary: ​​Themes of Ontology and Modality from the Work of Bob Hale (Oxford: Oxford University Press).

"Speaker's Reference, Semantic Reference, and Intuition", Forthcoming inReview of Philosophy and Psychology.

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


"The Logical Strength of Compositional Principles",Notre Dame Journal of Formal Logic 59 (2018), pp. 1-33.

"Cognitive Hunger: Remarks on Imogen Dickie'sFixing Reference", Philosophy and Phenomenological Research 95 (2017), pp. 738-44.

"The Existence (and Non-existence) of Abstract Objects", in P. Ebert and M. Rossberg, eds.,Abstractionism: Essays in Philosophy of Mathematics(Oxford: Oxford Univerity Press, 2016), pp. 50-78; so inFrege's theorem, pp. 200-26.

"Is Frege's Definition of the Ancestral Adequate?",Philosophia Mathematica 24 (2016), pp. 91-116.

"Consistency and the Theory of Truth",Review of Symbolic Logic 8 (2015), pp. 424-66.

"In Defense of Formal Relationism",Thought 3 (2014), pp. 243-50.

"Intuition and the Substitution Argument",Analytic Philosophy 55 (2014), pp. 1-30.

"Predicative Frege Arithmetic and" Everyday Mathematics "",Philosophia Mathematica 22 (2014), pp. 279-307.

"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 (2103), pp. 140-55.

"Sir Michael Anthony Eardley Dummett, 1925-2011",Philosophia Mathematica 21 (2013), pp. 1-8.

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

"More On 'A Liar Paradox'",Thought 1 (2012), pp. 270-80.

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

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

"Frege's Theorem: An Overview", inFrege's theorem, pp. 1-39.

"A Logic for Frege's Theorem," inFrege's theorem, pp. 267-96; also to appear in a A. Miller, ed.,Essays for Crispin Wright: Logic, Language and Mathematics.

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

"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.

"Frege and Semantics",Graz Philosophical Studies 75 (2007), pp. 27-63; reprinted inThe Cambridge Companion to Frege, ed. by T. Ricketts and M. Potter (Cambridge: Cambridge University Press, 2010), pp. 342-78; reprinted, more or less, as Chapter 2 ofReading Frege'sBasic Laws.

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

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

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

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

"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.

"MacFarlane on Relative Truth",Philosophical Issues 16 (2006), pp. 88-100.

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

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

"Truth and Disquotation",synthesis 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 (Awarded theCanadian Journal of Philosophy's 2002 Essay Prize).

"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); reprinted inThe Philosopher's Annual 25 (2002).

"Meaning and Truth-conditions: A Reply to Kemp",Philosophical Quarterly 52 (2002), pp. 82-87.

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

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

"Syntactic Reductionism",Philosophia Mathematica 8 (2000), pp. 124-49; reprinted inFrege's theorem, pp. 180-99.

"Frege's Theorem: An Introduction",The Harvard Review of Philosophy 7 (1999), pp. 56-73; reprinted in S. Phineas Upham, ed.,All We Need Is a Paradigm (Chicago: Open Court, 2009), pp. 41-61; Published in French, as "Introduction au théorème de Frege", tr. By L. Perrin, in M. Marion and A. Voizard, eds.,Frege: Logique et philosophie (Montreal: Harmattan, 1998), pp. 33-61; reprinted, in Portuguese, as "O Teorema de Frege: uma Introdução", tr. by A. Abath and A. Zilhão, in A. Zilhão, ed.,Do Círculo de Viena á Filosofia Analítica Contemporânea (Lisbon: Sociedade Portugesua de Filosofia, 2007), pp. 259-80; reprinted in Chinese, tr. by Liu Jingxian, inPhilosophical Analysis 5 (2014), pp. 69--85.

"Basic Laws of Arithmetic I §10",Philosophia Mathematica 7 (1999), pp. 258-92; reprinted, more or less, as Chapter 4 ofReading Frege'sBasic Laws.

 "The basics of arithmetic §§82-83 "(with George Boolos), in M. Schirn, ed.,Philosophy of Mathematics Today (Oxford: Oxford University Press, 1998), pp. 407-28; reprinted in George Boolos,Logic, Logic, and Logic (Cambridge MA: Harvard University Press, 1998), pp. 315-38; Reprinted, with a Postscript, inFrege's theorem, pp. 69-89.

"The Finite and the Infinite in Frege'sBasic laws of arithmetic", in M. Schirn, ed.,The Philosophy of Mathematics Today (Oxford: Clarendon Press, 1998), pp. 429-66; reprinted, more or less, as Chapter 8 ofReading Frege'sBasic Laws.

"Frege, Gottlob" (with Alexander George), in theRoutledge Encyclopedia of Philosophy, vol. 3 (New York: Routledge, 1998), pp. 765-78.

"Basic Laws of Arithmetic I §§29-32",Notre Dame Journal of Formal Logic 38 (1998), pp. 437-74; reprinted, more or less, as Chapter 3 ofReading Frege'sBasic Laws, though some material is contained in Chapter 5.

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

"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; Reprinted, with a Postscript, inFrege's theorem, pp. 237-66.

"The Julius Caesar Objection," inLanguage, Thought, and Logic: Essays in Honor of Michael Dummett, pp. 273-308; reprinted inFrege's theorem, pp. 127-55.

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

"Communication and Knowledge: Rejoinder to Byrne and Thau", Mind 105 (1996), pp. 151-56.

"The Consistency of Predicative Fragments of Frege'sBasic laws of artithmetic", History and Philosophy of Logic 17 (1996), pp. 209-20.

"Definition by Induction in Frege'sBasic laws of arithmetic", 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; reprinted, more or less, as Chapter 7 ofReading Frege'sBasic Laws.

"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, inFrege's Thoerem, pp. 90-110.

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

"Critical Notice of Michael Dummett,Frege: Philosophy of Mathematics", Philosophical Quarterly 43 (1993), pp. 223-33.

"The Development of Arithmetic in Frege'sBasic laws of arithmetic", Journal of Symbolic Logic 58, pp. 579-601 (1993); reprinted, with a postscript, in W. Demopoulos, ed.,Frege's Philosophy of Mathematics (Cambridge MA: Harvard University Press, 1995), pp. 257-94; reprinted in M. Beaney and E. H. Reck, eds.,Gottlob Frege: Critical Assessments of Leading Philosophers, vol. III (New York: Routledge, 2005), pp. 323-48; reprinted, with a new Postscript, inFrege's theorem, pp. 40-68; reprinted, more or less, as Chapter 6 ofReading Frege'sBasic Laws.

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

"Reply to Hintikka and Sandu: Frege and Second-order Logic" (with Jason Stanley),Journal of Philosophy 90 (1993), pp. 416-24.

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