Online Papers
Electronic versions of the papers listed below are available for download. Papers are orgranized alphabetically by title within the following categories:
Comments, criticisms, and suggestions are, of course, most welcome.What kinds of links are provided below depends upon who holds copyright to the paper. If I do, then a link will be provided that should make it available to everyone, free of charge. If someone else holds copyright, then links are provided to journal websites or other repositories, such as jstor.org
, which may not be acessible to everyone. If you are unable to access these repositories, then, in many cases, you can request a copy from me by clicking on the "Request Copy" link. There are also, in most cases, "pre-publication" versions of the paper available.
Most of these papers were published under the name "Richard G. Heck, Jr". Please see this page for information on how to cite them.
Work in Progress
Please do not cite these papers, or quote from them, without contacting me for permission first.
Are 'Facials' Misogynistic?
So-called ‘facial’ cumshots, when a man ejaculates onto a woman’s face, are very common in pornography. While they are frequently said to be degrading and misogynistic, the fact that women are usually shown as enjoying this act should make us think again. Facials are instead rooted in male insecurity: of a fear that an aspect of how men orgasm—semen—is disgusting to women. By contrast, the fantasy, which pornography makes vivid, is that women might not just tolerate but celebrate and eroticize both ejaculation and its product. The way mainstream pornography presents facials may often be misogynistic, but it does not have to be, and it is not always.
NOTE: This may not be a philosophy paper. My intention is to submit it to a sexuality studies journal.
Sexual Fantasy and the Eroticization of Evil
Many people have sexual fantasies about being forced to have sex, or forcing someone to have sex. Several authors have argued that it is wrong to enjoy such fantasies: They lead to harm, or reinforce oppressive social structures, are liable to corrupt our character, or, mostly interestingly, are wrong in themselves, because they involve the eroticization of things that are wrong. I argue here that all such arguments fail properly to distinguish between fantasy and desire (despite authors' acknowledgement of that distinction), and between objects of desire and sources of arousal. The broader significance of this point is also discussed.
This paper is intended, in part, as a defense of claims about sexual fantasy made at the end of "Does Pornography Presuppose Rape Myths?".
Success, Failure, and the Classical Disquotational Strategy
Perhaps the most important argument against disquotationalism is the so- called Success Argument: The success of certain behavioral strategies depends upon the truth of a person’s beliefs; if so, then the notion of truth appears to play an important role in psychological explanation, contradicting a central thesis of disquotationalism. To defend this argument, I first clarify the distinction between disquotationalism and other forms of deflationism, agreeing with Hartry Field that disquotationalism should be understood both as a theory of truth and a theory of content. I then argue that the ‘pure’ disquotational truth-predicate is almost useless by itself, and that disquotationalists must rely heavily upon an ‘extended’ disquotational truth-predicate defined in terms of translation. This, I then observe, undermines the ‘Classical Disquotational Strategy’ typically deployed in response to the Success Argument. Finally, I consider and reject an alternative strategy due to Field.
NOTE: This paper is one of two to emerge from an earlier paper, "Against Disquotation". That paper can be found with the Unpublished Papers. The other one is "Disquotation, Translation, and Context-Dependence", which can be found here.
Forthcoming Papers
These papers will be published under the name "Richard Kimberly Heck" and should be cited as such.
The Liar Paradox and Metamathematics
Forthcoming in a Handbook on the Liar
Central to the liar paradox is the phenomenon of 'self-reference'. The paradox typically begins with a sentence like:
(L): (L) is not true
Historically, doubts about the intelligibility of self-reference have been quite common. In some sense, though, these doubts were answered by Kurt Gödel's famous 'diagonal lemma'. This paper surveys some of the methods by which self-reference can be achieved, focusing first on purely syntactic methods before turning attention to the 'arithmetized' methods introduced by Gödel. It's primary lesson is that we need to be more careful than we usually have been about self-reference.
Unpublished Papers
These are papers I wrote but never published, and which I do not now have plans to publish. Sometimes the material has been absorbed into other papers; sometimes they're just kind of out of date. But some of them are still worth reading, I hope.
Most of these papers were written under the name "Richard G. Heck, Jr". See this page for information about how to cite them.
Against Disquotation
Disquotationalism is the view that the only notion of truth we really need is one that can be wholly explained in terms of such trivialities as: “Snow is white” is true iff snow is white. The `Classical Disquotational Strategy' attempts to establish this view case by case, by showing that each extant appeal to truth, in philosophical or scientific explanations, can be unmasked as an appeal only to disquotational truth. I argue here that the Classical Strategy fails in at least two cases: attributions of truth to context-dependent utterances and uses of truth psychological explanations of behavioral success or, more fundamentally, appeals to falsity in psychological explanations of behavioral failure.
I abandoned this paper becuase it's quite unwieldy as it is---not unlike "The Strength of Truth Theories". But I've cited it myself in a few places so am posting it here. It now has two descedents, which are currently listed as works in progress: "Disquotation, Translation, and Context-Dependence" and "The Failure Argument".
Is Indeterminate Identity Incoherent?
Logicism, Semantics, Ontology
The Strength of Truth-Theories
This paper attempts to address the question what logical strength theories of truth have by considering such questions as: If you take a theory T and add a theory of truth to it, how strong is the resulting theory, as compared to T? It turns out that, in a wide range of cases, we can get some nice answers to this question, but only if we work in a framework that is somewhat different from those usually employed in discussions of axiomatic theories of truth. These results are then used to address a range of philosophical questions connected with truth, such as what Tarski meant by "essential richness" and the so-called conservativeness argument against deflationism.
This draft dates from about 2009, with some significant updates having been made around 2011. Around then, however, I decided that the paper was becoming unmanageable and that I was trying to do too many things in it. I have therefore exploded the paper into several pieces, which will be published separately. These include "Disquotationalism and the Compositional Principles", "The Logical Strength of Compositional Principles", "Consistency and the Theory of Truth", and "What Is Essential Richness?" You should probably read those instead, since this draft remains a bit of a mess. Terminology and notation are inconsistent, and some of the proofs aren't quite right. So, caveat lector. I make it public only because it has been cited in a few places now.
What Is a Singular Term?
This paper discusses the question whether it is possible to explain the notion of a singular term without invoking the notion of an object or other ontological notions. The framework here is that of Michael Dummett's discussion in Frege: Philosophy of Language. I offer an emended version of Dummett's conditions, accepting but modifying some suggestions made by Bob Hale, and defend the emended conditions against some objections due to Crispin Wright.
This paper dates from about 1989. It originally formed part of a very early draft of what became my Ph.D. dissertation. I rediscovered it and began scanning it, when I had nothing better to do, in Fall 2001, making some minor editing changes along the way. Suffice it to say that it no longer represents my current views.
Published Papers
Alphabetical by title. If you want to see a list organized by date of publication, please see the publications page.
Most of these papers were written under the name "Richard G. Heck, Jr". See this page for information about how to cite them.
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
philpapers.org, rkheck.frege.org
The Basic Laws of Cardinal Number
In P. Ebert and M. Rossberg, eds., Essays on Frege's Basic Laws of Arithmetic (Oxford: Oxford University Press, 2019), pp. 1-30
philpapers.org, rkheck.frege.org
The Birth of Semantics (with Robert May)
Journal for the History of Analytical Philosophy 8, no 6 (2020), pp. 1-31
philpapers.org, jhaponline.org, rkheck.frege.org
We attempt here to trace the evolution of Frege's thought about truth. What most frames the way we approach the problem is a recognition that hardly any of Frege's most familiar claims about truth appear in his earliest work. We argue that Frege's mature views about truth emerge from a fundamental re-thinking of the nature of logic instigated, in large part, with a sustained engagement with the work of George Boole and his followers, after the publication of Begriffsschrift and the appearance of critical reviews by members of the Boolean school.
Cardinality, Counting, and Equinumerosity
Notre Dame Journal of Formal Logic 41 (2000), pp. 187-209
Reprinted in Frege's Theorem, pp. 156-79
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Chalmers on Analyticity and A Priority
In Modes of Representation, Ch. 7
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In both the paper "Revisability and Conceptual Change in 'Two Dogmas of Empiricism'" and in Constructing the World, David Chalmers has argued against W.V.O. Quine's claim that there are no 'analytic' sentences. I argue here that Chalmers's argument does not advance this debate.
Cognitive Hunger: Remarks on Imogen Dickie's Fixing Reference
Philosophy and Phenomenological Research 95 (2017), pp. 738-44
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The main focus of my comments is the role played in Dickie's view by the idea that "the mind has a need to represent things outside itself". But there are also some remarks about her (very interesting) suggestion that descriptive names can sometimes fail to refer to the object that satisfies the associated description.
Communication and Knowledge: Rejoinder to Byrne and Thau
Mind 105 (1996), pp. 151-56
Reprinted as the Postscript to Ch. 3 of Modes of Representation
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The Composition of Thoughts (with Robert May)
Noûs 45 (2011), pp. 126-66
Reprinted in Modes of Representation, Ch. 8
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Consistency and the Theory of Truth
Review of Symbolic Logic 8 (2015), pp. 424-66
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This paper attempts to address the question what logical strength theories of truth have by considering such questions as: If you take a theory T and add a theory of truth to it, how strong is the resulting theory, as compared to T? Once the question has been properly formulated, the answer turns out to be about as elegant as one could want: Adding a theory of truth to a finitely axiomatized theory T is more or less equivalent to a kind of abstract consistency statement. A large part of the interest of the paper lies in the way syntactic theories are 'disentangled' from object theories.
The Consistency of Predicative Fragments of Frege's Grundgesetze der Artithmetik
History and Philosophy of Logic 17 (1996), pp. 209-20
philpapers.org, www.informaworld.com, Pre-publication Version
Critical Notice of Michael Dummett, Frege: Philosophy of Mathematics
Philosophical Quarterly 43 (1993), pp. 223-33
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
Reprinted, more or less, as Chapter 7 of Reading Frege's Grundgesetze
philpapers.org, rkheck.frege.org
The Development of Arithmetic in Frege's Grundgesetze der Arithmetik
Journal of Symbolic Logic 58 (1993), pp. 579-601
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, in Frege's Theorem, pp. 40-68
Reprinted, more or less, as Chapter 6 of Reading Frege's Grundgesetze
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Die Grundlagen der Arithmetik §§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, in Frege's Theorem, pp. 69-89
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Disquotation, Translation, and Context-Dependence
In E. Lepore and D. Sosa, eds., Oxford Studies in Philosophy of Language, vol. 3 (Oxford: Oxford University Press, 2023), pp. 99-128
philpapers.org, rkheck.frege.org
It has been known for some time that context-dependence poses a problem for disquotationalism, but the problem has largely been regarded as one of detail: one that will be solved by the right sort of cleverness. I argue here that the problem is one of principle and that extant solutions, which are based upon the notion of translation, cannot succeed.
NOTE: This paper is one of two to emerge from an earlier paper, "Against Disquotation". That paper can be found with the Unpublished Papers. The other one is "Success, Failure, and the Classical Disquotational Strategy", which (as of this writing) is not yet published and can be found with the Works In Progress.
Disquotationalism and the Compositional Principles
In C. Nicolai, ed., Modes of Truth: The Unified Approach to Modality, Truth, and Paradox (New York: Routledge, 2021), pp. 115-50
philpapers.org, rkheck.frege.org
What Bar-On and Simmons call 'Conceptual Deflationism' is the thesis that truth is a 'thin' concept in the sense that it is not suited to play any explanatory role in our scientific theorizing. One obvious place it might play such a role is in semantics, so disquotationalists have been widely concerned to argued that 'compositional principles', such as
(C) A conjunction is true iff its conjuncts are true
are ultimately quite trivial and, more generally, that semantic theorists have misconceived the relation between truth, meaning, and logic. This paper argues, to the contrary, that even such simple compositional principles as (C) have substantial content that cannot be captured by deflationist 'proofs' of them. The key thought is that (C) is supposed, among other things, to affirm the truth-functionality of conjunction and that disquotationalists cannot, ultimately, make sense of truth-functionality.
This paper is something of a companion to "The Logical Strength of Compositional Principles". This version contains some material (especially section 5) that is omitted from the published version.
Do Demonstratives Have Senses?
Philosophers' Imprint 2 (2002)
Reprinted in The Philosopher's Annual 25 (2002)
Reprinted, with a Postscript, as Ch. 4 of Modes of Representation
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Does Pornography Presuppose Rape Myths?
Pacific Philosophical Quarterly 105 (2024), pp. 50-74
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Rae Langton and Caroline West have argued that pornography silences women by presupposing misogynistic attitudes, such as that women enjoy being raped. More precisely, they claim that a somewhat infamous pictorial, “Dirty Pool”, makes such presuppositions. I argue for four claims. (i) Langton and West's account of how pornography silences women is empirically dubious. (ii) There is no evidence that very much pornography makes the sorts of presuppositions they require. (iii) Even "Dirty Pool", for all its other problems, does not make the presuppositions that Langton and West claim it does. (iv) Langton and West misread “Dirty Pool” because they do not take proper account of the fact that pornography traffics in sexual fantasy.
This paper and "Pornography and Accommomdation" are companions. They were originally one paper.
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
Also in Frege's Theorem, pp. 200-26
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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
Reprinted, more or less, as Chapter 8 of Reading Frege's Grundgesetze
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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, in Frege's Theorem, pp. 237-66
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Formal Arithmetic Before Grundgesetze
In P. Ebert and M. Rossberg, eds., Essays on Frege's Basic Laws of Arithmetic (Oxford: Oxford University Press, 2019), pp. 497-537
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Frege and Semantics
Grazer Philosophische Studien 75 (2007), pp. 27-63
Reprinted in The 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 of Reading Frege's Grundgesetze
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Frege on Identity and Identity-Statements: A Reply to Thau and Caplan
Canadian Journal of Philosophy 33 (2003), pp. 83-102 (Awarded the Canadian Journal of Philosophy's 2002 Essay Prize)
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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
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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 Thoerem, pp. 90-110
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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, in Philosophical Analysis 5 (2014), pp. 69--85
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Frege's Theorem: An Overview
In Frege's Theorem, pp. 1-39
The Frontloading Argument
Philosophical Studies 175 (2018), pp. 2583-2608
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Maybe the most important argument in David Chalmers's monumental book Constructing the World is the one he calls the 'Frontloading Argument', which is used in Chapter 4 to argue for the book's central thesis, A Priori Scrutability. And, at first blush, the Frontloading Argument looks very strong. I argue here, however, that it is incapable of securing the conclusion it is meant to establish. My interest is not in the conclusion for which Chalmers is arguing. As it happens, I am skeptical about A Priori Scrutability. Indeed, my views about the a priori are closer to Quine's than to Chalmers's. But my goal here is not to argue for any substantive conclusion but just for a dialectical one: Despite its initial appeal, the Frontloading Argument fails as an argument for A Priori Scrutability.
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
philpapers.org, rkheck.frege.org
Grundgesetze der Arithmetik I §§29-32
Notre Dame Journal of Formal Logic 38 (1998), pp. 437-74
Reprinted, more or less, as Chapter 3 of Reading Frege's Grundgesetze, though some material is contained in Chapter 5
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Grundgesetze der Arithmetik I §10
Philosophia Mathematica 7 (1999), pp. 258-92
Reprinted, more or less, as Chapter 4 of Reading Frege's Grundgesetze
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How Not To Watch Feminist Pornography
Feminist Philosophical Quarterly 7, no 1 (2021), Article 3
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This paper has three goals. The first is to defend Tristan Taromino and Erika Lust (or some of their films) from criticisms that Rebecca Whisnant and Hans Maes make of them. Toward that end, I will be arguing against the narrow conceptions that Whisnant and Maes have of what `feminist' pornography must be like. More generally, I hope to show by example why it is important to take pornographic films seriously as films if we're to understand their potential to shape, or mis-shape, socio-sexual norms.
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
philpapers.org, rkheck.frege.org
In Defense of Formal Relationism
Thought 3 (2014), pp. 243-50
Reprinted as the Postscript to Ch. 5 of Modes of Representation
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In his paper "Flaws of Formal Relationism", Mahrad Almotahari argues against the sort of response to Frege's Puzzle I defended in "Solving Frege's Puzzle". Almotahari argues that, because of its specifically formal character, Formal Relationism is vulnerable to objections that cannot be raised against the otherwise similar Semantic Relationism due to Kit Fine. I argue in response that Formal Relationism has neither of the flaws Almotahari claims to identify.
Introduction
In Crispin Wright, The Riddle of Vagueness (Oxford: Oxford University Press, 2021), pp. 1-40
A lengthy introduction to Wright's collection of papers on vagueness. The goal here is to survey the sweep of the work and try to identify its most important contributions, as well as the questions it leaves open.
Intuition and the Substitution Argument
Analytic Philosophy 55 (2014), pp. 1-30
Reprinted with a Postscript as Ch. 9 of Modes of Representation
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The 'substitution argument' purports to demonstrate the falsity of Russellian accounts of belief-ascription by observing that, e.g., these two sentences:
(LC) Lois believes that Clark can fly.could have different truth-values. But what is the basis for that claim? It seems widely to be supposed, especially by Russellians, that it is simply an 'intuition', one that could then be 'explained away'. And this supposition plays an especially important role in Jennifer Saul's defense of Russellianism, based upon the existence of an allegedly similar contrast between these two sentences:
(LS) Lois believes that Superman can fly.
(PC) Superman is more popular than Clark.The latter contrast looks pragmatic. But then, Saul asks, why shouldn't we then say the same about the former?
(PS) Superman is more popular than Superman.
The answer to this question is that the two cases simply are not similar. In the case of (PC) and (PS), we have only the facts that these strike us differently, and that people will sometimes say things like (PC), whereas they will never say things like (PS). By contrast, there is an argument to be given that (LS) can be true even if (LC) is false, and this argument does not appeal to anyone's 'intuitions'.
The main goal of the paper is to present such a version of the substitution argument, building upon the treatment of the Fregan argument against Russellian accounts of belief itself in "Solving Frege's Puzzle". A subsidiary goal is to contribute to the growing literature arguing that 'intuitions' simply do not play the sort of role in philosophical inquiry that so-called 'experimental philosophers' have supposed they do.
Is Compositionality a Trivial Principle?
Frontiers of Philosophy in China 8 (2103), pp. 140-55
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Is Frege's Definition of the Ancestral Adequate?
Philosophia Mathematica 24 (2016), pp. 91-116
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Why should one think that Frege's definition of the ancestral is correct? It can be proven to be extensionally correct, but the argument uses arithmetical induction, and that fact might seem to undermine Frege's claim to have justified induction in purely logical terms—a worry that goes back to Bruno Kerry and Henri Poincaré. In this paper, I discuss such circularity objections and then offer a new definition of the ancestral, one that is intended to be intensionally correct; its extensional correctness then follows without proof. It can then be proven to be equivalent to Frege's definition, without any use of arithmetical induction. This constitutes a proof that Frege's definition is extensionally correct that does not make any use of arithmetical induction, thus answering the circularity objections.
Since this paper was published, Ran Lanzet has pointed out a significant lacuna in the proof of the main result. This has been updated in the 'pre-publication version': See p. 21.
Julius Caesar and Basic Law V
Dialectica 59 (2005), pp. 161-78
Reprinted in Frege's Theorem, pp. 111-26
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The Julius Caesar Objection
In Language, Thought, and Logic: Essays in Honour of Michael Dummett, pp. 273-308
Reprinted in Frege's Theorem, pp. 127-55
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A Liar Paradox
Thought 1 (2012), pp. 36-40
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The purpose of this note is to present some strong forms of the liar paradox. They are strong because the logical resources needed to generate them paradox are weak. The only logical resources used are: (i) conjunction introduction; (ii) substitution of identicals; and (iii) the inference: From ¬(p & p), infer ¬p. We then get a paradox if we assume either (a) the `transparency' of truth and the law of non-contradiction or (b) the schemata: ¬(S & T(¬S); and ¬(¬S & ¬T(¬S).
The lesson I would like to draw is: There can be no consistent solution to the Liar paradox that does not involve abandoning truth-theoretic principles that should be every bit as dear to our hearts as the T-scheme. So we shall have to learn to live with the Liar, one way or another.
A Logic for Frege's Theorem
In Frege's Theorem, pp. 267-96
Reprinted in A. Miller, ed., Logic, Language and Mathematics: Themes from the Philosophy of Crispin Wright (Oxford: Oxford University Press), pp. 24-54
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The Logical Strength of Compositional Principles
Notre Dame Journal of Formal Logic 59 (2018), pp. 1-33
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This paper investigates a set of issues connected with the so-called conservativeness argument against deflationism. Although I do not defend that argument, I think the discussion of it has raised some interesting questions about whether what I call `compositional principles, such as 'A conjunction is true iff its conjuncts are true', have substantial content or are in some sense logically trivial. The paper presents a series of results that purport to show that the compositional principles for a first-order language, taken together, have substantial logical strength, amounting to a kind of abstract consistency statement.
This paper is something of a companion to "Disquotationalism and the Compositional Principles".
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, 2018), pp. 140-69
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In two recent papers, Bob Hale has attempted to free second-order logic of the 'staggering existential assumptions' with which Quine famously attempted to saddle it. I argue, first, that the ontological issue is at best secondary: the crucial issue about second-order logic, at least for a neo-logicist, is epistemological. I then argue that neither Crispin Wright's attempt to characterize a `neutralist' conception of quantification that is wholly independent of existential commitment, nor Hale's attempt to characterize the second-order domain in terms of definability, can serve a neo-logicist's purposes. The problem, in both cases, is similar: neither Wright nor Hale is sufficiently sensitive to the demands that impredicativity imposes. Finally, I defend my own earlier attempt to finesse this issue, in "A Logic for Frege's Theorem", from Hale's criticisms.
MacFarlane on Relative Truth
Philosophical Issues 16 (2006), pp. 88-100
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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
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Meaning and Truth-conditions: A Reply to Kemp
Philosophical Quarterly 52 (2002), pp. 82-87
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More On 'A Liar Paradox'
Thought 1 (2012), pp. 270-80
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Non-conceptual Content and the 'Space of Reasons'
Philosophical Review 109 (2000), pp. 483-523
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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
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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
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Pornography and Accommodation
Inquiry 64 (2021), pp. 830-60
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In 'Scorekeeping in a Pornographic Language Game', Rae Langton and Caroline West borrow ideas from David Lewis to attempt to explain how pornography might subordinate and silence women. Pornography is supposed to express certain misogynistic claims implicitly, through presupposition, and to convey them indirectly, through accommodation. I argue that the appeal to accommodation cannot do the sort of work Langton and West want it to do: Their case rests upon an overly simpified model of that phenomenon. I argue further that, once we are clear about why Langton and West's account fails, a different and more plausible account of pornography's influence emerges.
This paper and "Does Pornography Presuppose Rape Myths?" are companions; they were originally one paper.
Predicative Frege Arithmetic and "Everyday Mathematics"
Philosophia Mathematica 22 (2014), pp. 279-307
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Ramified Frege Arithmetic
Journal of Philosophical Logic 40 (2011), pp. 715-35
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Reason and Language
In C. Macdonald and G. Macdonald, eds., McDowell and His Critics (Oxford: Blackwell Publishing, 2006), pp. 22-45
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Reply to Hintikka and Sandu: Frege and Second-order Logic (with Jason Stanley)
Journal of Philosophy 90 (1993), pp. 416-24
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Self-reference and the Languages of Arithmetic
Philosophia Mathematica 15 (2007), pp. 1-29
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Semantic Accounts of Vagueness
In J.C. Beall, ed., Liars and Heaps (Oxford: Oxford University Press, 2003), pp. 106-27
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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
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This paper considers a now familiar argument that the ubiquity of context-dependence threatens the project of natural language semantics, at least as that project has usually been conceived: as concerning itself with `what is said' by an utterance of a given sentence. I argue in response that the `anti-semantic' argument equivocates at a crucial point and, therefore, that we need not choose between semantic minimalism, truth-conditional pragmatism, and the like. Rather, we must abandon the idea, familiar from Kaplan and others, that utterances express propositions `relative to contexts' and replace it with the Strawonian idea that speakers express propositions by making utterances in contexts. The argument for this claim consists in a detailed investigation of the particular case of demonstratives, which I argue demand such a Strawsonian treatment. I then respond to several objections, the most important of which allege that the Strawsonian account somehow undermines the project of natural language semantics, or threatens the semantics-pragmatics distinction.
Please note that the paper posted here is an extended version of what was published.
Sense as Mode of Representation
In Modes of Representation, Ch. 6
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There are two main models for explaining Frege's notion of sense, both of which have their roots in the work of Sir Michael Dummett. One, nowadays most familiar from the work of David Chalmers, is broadly internalist and descriptivist in character. The other, most familiar from the work of Gareth Evans, is externalist and anti-descriptivist. I first consider the former project, arguing that Dummett anticipated Chalmers's version of the view, and that no version of this view is going to be defensible. The arguments are somewhat different from those familiar from the literature. I then consider Evans's view and argue that, while it is not vulnerable to many of the objections that have been made to it, it does not really succeed as an account of sense, because it forces us to abandon Frege's view that sense is an aspect of representational content.
The Sense of Communication
Mind 104 (1995), pp. 79-106
Reprinted as Ch. 3 of Modes of Representation
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Sir Michael Anthony Eardley Dummett, 1925-2011
Philosophia Mathematica 21 (2013), pp. 1-8
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Solving Frege's Puzzle
Journal of Philosophy 109 (2012), pp. 132-74
Reprinted as Ch. 5 of Modes of Representation
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So-called 'Frege cases' pose a challenge for anyone who would hope to treat the contents of beliefs (and similar mental states) as Russellian propositions: It is then impossible to explain people's behavior in Frege cases without invoking non-intentional features of their mental states, and doing that seems to undermine the intentionality of psychological explanation. In the present paper, I develop this sort of objection in what seems to me to be its strongest form, but then offer a response to it. I grant that psychological explanation must invoke non-intentional features of mental states, but it is of crucial importance which such features must be referenced.
It emerges from a careful reading of Frege's own view that we need only invoke what I call 'formal' relations between mental states. I then claim that referencing such 'formal' relations within psychological explanation does not undermine its intentionality in the way that invoking, say, neurological features would. The central worry about this view is that either (a) 'formal' relations bring narrow content in through back door or (b) 'formal' relations end up doing all the explanatory work. Various forms of each worry are discussed. The crucial point, ultimately, is that the present strategy for responding to Frege cases is not available either to the 'psycho-Fregean', who would identify the content of a belief with its truth-value, nor even to someone who would identify the content of a belief with a set of possible worlds. It requires the sort of rich semantic structure that is distinctive of Russellian propositions. There is therefore no reason to suppose that the invocation of 'formal' relations threatens to deprive content of any work to do.
Note: The pre-publication version is longer than what was published.
Speaker's Reference, Semantic Reference, and Intuition
Review of Philosophy and Psychology 9 (2018), pp. 251-69
Reprinted, expanded and with a Postscript, as Ch. 10 of Modes of Representation
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Some years ago, Machery, Mallon, Nichols, and Stich reported the results of experiments that reveal, they claim, cross-cultural differences in speakers' `intuitions' about Kripke's famous Gödel-Schmidt case. Several authors have suggested, however, that the question they asked they subjects is ambiguous between speaker's reference and semantic reference. Machery and colleagues have since made a number of replies. It is argued here that these are ineffective. The larger lesson, however, concerns the role that first-order philosophy should, and more importantly should not, play in the design of such experiments and in the evaluation of their results.
NOTE: The version of the paper linked here is an expanded version that is scheduled to appear in my book Modes of Representation. The new material is in section 4.
Syntactic Reductionism
Philosophia Mathematica 8 (2000), pp. 124-49
Reprinted in Frege's Theorem, pp. 180-99
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Tarski, Truth, and Semantics
Philosophical Review 106 (1997), pp. 533-54
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That There Might Be Vague Objects (So Far as Concerns Logic)
The Monist 81 (1998), pp. 277-99
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Truth and Disquotation
Synthese 142 (2004), pp. 317-52
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Truth In Frege (with Robert May)
In M. Glanzberg, ed., The Oxford Handbook of Truth (Oxford: Oxford University Press, 2018), pp. 193-215
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Use and Meaning
In R. E. Auxier and L. E. Hahn, eds., The Philosophy of Michael Dummett (Chicago: Open Court, 2007), pp. 531-57
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