•  993
    LP, K3, and FDE as Substructural Logics
    In Pavel Arazim & Tomáš Lavička (eds.), The Logica Yearbook 2016, College Publications. 2017.
    Building on recent work, I present sequent systems for the non-classical logics LP, K3, and FDE with two main virtues. First, derivations closely resemble those in standard Gentzen-style systems. Second, the systems can be obtained by reformulating a classical system using nonstandard sequent structure and simply removing certain structural rules (relatives of exchange and contraction). I clarify two senses in which these logics count as “substructural.”
  •  940
    Logical Expressivism and Logical Relations
    In Ondřej Beran, Vojtěch Kolman & Ladislav Koreň (eds.), From rules to meanings. New essays on inferentialism, Routledge. pp. 179-95. 2018.
    According to traditional logical expressivism, logical operators allow speakers to explicitly endorse claims that are already implicitly endorsed in their discursive practice — endorsed in virtue of that practice’s having instituted certain logical relations. Here, I propose a different version of logical expressivism, according to which the expressive role of logical operators is explained without invoking logical relations at all, but instead in terms of the expression of discursive-practical …Read more
  •  919
    Locke's claims about the "inadequacy" of substance-ideas can only be understood once it is recognized that the "sort" represented by such an idea is not wholly determined by the idea's descriptive content. The key to his compromise between classificatory conventionalism and essentialism is his injunction to "perfect" the abstract ideas that serve as "nominal essences." This injunction promotes the pursuit of collections of perceptible qualities that approach ever closer to singling out things …Read more
  •  757
    Two currently much discussed views about truth, truth pluralism and truth relativism, are found in Sellars’s writings. I show that his motivations for adoping these views are interestingly different from those shared by most of their recent advocates. First, I explain how Sellars comes to embrace a version of truth pluralism. I argue that his version overcomes a difficulty confronting pluralists, albeit at a serious cost. Then I argue that Sellars’s truth pluralism isn’t motivated by his interes…Read more
  •  630
    This paper examines the pressures leading two very different Early Modern philosophers, Descartes and Locke, to invoke two ways in which thought is directed at objects. According to both philosophers, I argue, the same idea can simultaneously count as “of” two different objects—in two different senses of the phrase ‘idea of’. One kind of intentional directedness is invoked in answering the question What is it to think that thus-and-so? The other kind is invoked in answering the question What acc…Read more
  •  602
    Brandom on the normativity of meaning
    Philosophy and Phenomenological Research 68 (1): 141-60. 2004.
    Brandom's "inferentialism"—his theory that contentfulness consists in being governed by inferential norms—proves dubiously compatible with his own deflationary approach to intentional objectivity. This is because a deflationist argument, adapted from the case of truth to that of correct inference, undermines the criterion of adequacy Brandom employs in motivating inferentialism. Once that constraint is abandoned, moreover, the very constitutive-explanatory availability of Brandom's inferential…Read more
  •  292
    According to Roman Ingarden, transcendental idealism prevented Kant from "even undertaking an attempt" at elucidating freedom "in terms of the causal structure of the world." I show that this claim requires qualification. In a remarkable series of Critical-period Reflexionen (5611-4, 5616-9), Kant sketches a defense of the possibility of freedom that differs radically from his published ones by incorporating an indeterministic account of the phenomena. Anticipating Łukasiewicz, he argues that …Read more
  •  243
    Deflating logical consequence
    Philosophical Quarterly 61 (243): 320-342. 2011.
    Deflationists about truth seek to undermine debates about the nature of truth by arguing that the truth predicate is merely a device that allows us to express a certain kind of generality. I argue that a parallel approach is available in the case of logical consequence. Just as deflationism about truth offers an alternative to accounts of truth's nature in terms of correspondence or justification, deflationism about consequence promises an alternative to model-theoretic or proof-theoretic accoun…Read more
  •  218
    Price's Subject Naturalism and Liberal Naturalism
    In Mario De Caro & David Macarthur (eds.), The Routledge Handbook of Liberal Naturalism, Routledge. 2022.
    This chapter first seeks to identify Huw Price's reasons for holding that "object naturalism" can be undermined by "subject-naturalistic" inquiry. It then addresses five questions about how his project bears on the prospects for a liberal naturalism. (1) Does Price’s strategy depend on his requirement that the relevant inquiry into human discourse and thought be conducted in natural-scientific terms? (2) Is Price’s strategy even compatible with that requirement? (3) Does the worldview Price arri…Read more
  •  216
    Reichenbach's Philosophy of Space and Time (1928) avoids most of the logical positivist pitfalls it is generally held to exemplify, notably both conventionalism and verificationism. To see why, we must appreciate that Reichenbach's interest lies in how mathematical structures can be used to describe reality, not in how words like 'distance' acquire meaning. Examination of his proposed "coordinative definition" of congruence shows that Reichenbach advocates a reductionist analysis of the relati…Read more
  •  149
    Naïve truth-conditions and meaning
    Philosophical Quarterly 58 (231). 2008.
    Critics of attempts to explain meaning in terms of truth-conditions have tended to charge their opponents with misconceptions regarding truth. I shall argue that the 'naïve' version of the truth-conditional theory which best accounts for its resilience fails for a different and more basic reason, namely, circularity arising from the contingency of meaning. One reason why this problem has been overlooked is a tendency (noted by Dummett in a different connection) to assimilate the naïve truth-cond…Read more
  •  146
    Objective Being and “Ofness” in Descartes
    Philosophy and Phenomenological Research 84 (2): 378-418. 2011.
    It is generally assumed that Descartes invokes “objective being in the intellect” in order to explain or describe an idea’s status as being “of something.” I argue that this assumption is mistaken. As emerges in his discussion of “materially false ideas” in the Fourth Replies, Descartes recognizes two senses of ‘idea of’. One, a theoretical sense, is itself introduced in terms of objective being. Hence Descartes can’t be introducing objective being to explain or describe “ofness” understood in t…Read more
  •  124
    Two kinds of intentionality in Locke
    Pacific Philosophical Quarterly 91 (4): 554-586. 2010.
    Ideas play at least two roles in Locke's theory of the understanding. They are constituents of ‘propositions,’ and some of them ‘represent’ the qualities and sorts of surrounding bodies. I argue that each role involves a distinct kind of intentional directedness. The same idea will in general be an ‘idea of’ two different objects, in different senses of the expression. Identifying Locke's scheme of twofold ‘ofness’ reveals a common structure to his accounts of simple ideas and complex ideas of s…Read more
  •  123
    Expressibility and the Liar's Revenge
    Australasian Journal of Philosophy 89 (2): 297-314. 2011.
    There is a standard objection against purported explanations of how a language L can express the notion of being a true sentence of L. According to this objection, such explanations avoid one paradox (the Liar) only to succumb to another of the same kind. Even if L can contain its own truth predicate, we can identify another notion it cannot express, on pain of contradiction via Liar-like reasoning. This paper seeks to undermine such ‘revenge’ by arguing that it presupposes a dubious assumption …Read more
  •  120
    Validity and Truth-Preservation
    In D. Achourioti, H. Galinon & J. Martinez (eds.), Unifying the Philosophy of Truth, Springer. pp. 431-459. 2015.
    The revisionary approach to semantic paradox is commonly thought to have a somewhat uncomfortable corollary, viz. that, on pain of triviality, we cannot affirm that all valid arguments preserve truth (Beall2007, Beall2009, Field2008, Field2009). We show that the standard arguments for this conclusion all break down once (i) the structural rule of contraction is restricted and (ii) how the premises can be aggregated---so that they can be said to jointly entail a given conclusion---is appropriatel…Read more
  •  110
    Intentional Relations and the Sideways‐on View: On McDowell's Critique of Sellars
    European Journal of Philosophy 21 (2): 300-319. 2011.
    : McDowell opposes the view that the intentionality of language and thought remains mysterious unless it can be understood ‘from outside the conceptual order’. While he thinks the demand for such a ‘sideways-on’ understanding can be the result of ‘scientistic prejudice’, he points to Sellars's thought as exhibiting a different source: a distortion of our perspective ‘from within the conceptual order’. The distortion involves a failure on Sellars's part to see how descriptions from within the con…Read more
  •  95
    Naive Structure, Contraction and Paradox
    Topoi 34 (1): 75-87. 2015.
    Rejecting structural contraction has been proposed as a strategy for escaping semantic paradoxes. The challenge for its advocates has been to make intuitive sense of how contraction might fail. I offer a way of doing so, based on a “naive” interpretation of the relation between structure and logical vocabulary in a sequent proof system. The naive interpretation of structure motivates the most common way of blaming Curry-style paradoxes on illicit contraction. By contrast, the naive interpretatio…Read more
  •  94
    This paper compares two ways of holding that logic is special among the sciences in that it has no restricted class of entities as its subject matter, but instead concerns all entities alike. One way is Williamson’s explanation of how inquiry into logical consequence and logical truth only superficially concerns the linguistic or conceptual entities that bear these properties. Williamson draws on ideas familiar from deflationism about truth, and his account has been called “deflationary.” I argu…Read more
  •  94
    Sellars on the Function of Semantic Vocabulary
    British Journal for the History of Philosophy 22 (4): 792-811. 2014.
    This paper examines two explanations Sellars gives, at successive stages of his career, of how semantic vocabulary lets us relate linguistic expressions to extra-linguistic reality. Despite their differences, both explanations reveal a distinctive pragmatist approach. According to Sellars, we do not use semantic vocabulary to describe language-world relations. Rather, our taking language to relate to the world is implicit in the moves licensed by our semantic assertions. I argue that Sellars's d…Read more
  •  94
    Validity Curry Strengthened
    Thought: A Journal of Philosophy 2 (1): 100-107. 2013.
    Several authors have argued that a version of Curry's paradox involving validity motivates rejecting the structural rule of contraction. This paper criticizes two recently suggested alternative responses to “validity Curry.” There are three salient stages in a validity Curry derivation. Rejecting contraction blocks the first, while the alternative responses focus on the second and third. I show that a distinguishing feature of validity Curry, as contrasted with more familiar forms of Curry's par…Read more
  •  90
    Commitment Accounts of Assertion
    In Sanford C. Goldberg (ed.), The Oxford Handbook of Assertion, Oxford University Press. 2018.
    According to commitment accounts of assertion, asserting is committing oneself to something’s being the case, where such commitment is understood in terms of norms governing a social practice. I elaborate and compare two version of such accounts, liability accounts (associated with C.S. Peirce) and dialectical norm accounts (associated with Robert Brandom), concluding that the latter are more defensible. I argue that both versions of commitment account possess a potential advantage over rival no…Read more
  •  88
    Review of Robert Brandom, Between Saying and Doing (review)
    Australasian Journal of Philosophy 88 (2): 367-71. 2010.
    This Article does not have an abstract
  •  85
    Linguistic Function and Content: Reflections on Price's Pragmatism
    Philosophical Quarterly 64 (256): 497-506. 2014.
    Huw Price proposes a strategy for dissolving ontological puzzles through a pragmatist account of our conceptual activity. Here I consider the proper place for conceptual content in Price’s pragmatism. Price himself rules out any explanatory role for content, just as he rules out any explanatory role for representational notions such as reference and truth. I argue that the cases are disanalogous and that he offers no good reasons for avoiding explanatory appeal to content. Furthermore, I argue t…Read more
  •  82
    Assertoric Force Perspectivalism: Relativism Without Relative Truth
    Ergo: An Open Access Journal of Philosophy 1. 2014.
    According to relativist accounts of discourse about, e.g., epistemic possibility and matters of taste, the truth of propositions must be relativized to nonstandard parameters. This paper argues that the central thrust of such accounts should be understood independently of relative truth, in terms of a perspectival account of assertoric force. My point of departure is a stripped-down version of Brandom’s analysis of the normative structure of discursive practice. By generalizing that structure, I…Read more
  •  69
    Global expressivism as global subjectivism
    Philosophical Studies 179 (3): 777-799. 2021.
    Huw Price holds that a recognizable version of expressivism about normative and modal language can be “globalized” so as to apply to all areas of discourse. He focuses on globalizing the anti-representationalism of expressivist theories. By contrast, this paper’s topic is the seldom-discussed way Price seeks to globalize the expressivist view that “non-descriptive” discourse exhibits subjectivity. I argue that Price’s own argument against the possibility of a purely objective domain conflicts wi…Read more
  •  67
    Hartry Field has proposed a fundamental division of theories of linguistic and mental content into those that do, and those that don’t, give a central role to ‘that’-clause ascriptions. Here I investigate the commitments of theories that (in accord with Field’s position) deny ‘that’-clause ascriptions a central role, but (in contrast to Field’s position) give truth conditions a central role. Such non-oblique truth-conditionalism promises significant advantages. However, the stance is costlier th…Read more
  •  63
    The very idea of a substructural approach to paradox
    Synthese 199 (Suppl 3): 767-786. 2016.
    This paper aims to call into question the customary division of logically revisionary responses to the truth-theoretic paradoxes into those that are “substructural” and those that are “ structural.” I proceed by examining, as a case study, Beall’s recent proposal based on the paraconsistent logic LP. Beall formulates his response to paradox in terms of a consequence relation that obeys all standard structural rules, though at the price of the language’s lacking a detaching conditional. I argue t…Read more
  •  61
    The rationale behind revision-rule semantics
    Philosophical Studies 129 (3). 2006.
    According to Gupta and Belnap, the “extensional behavior” of ‘true’ matches that of a circularly defined predicate. Besides promising to explain semantic paradoxicality, their general theory of circular predicates significantly liberalizes the framework of truth-conditional semantics. The authors’ discussions of the rationale behind that liberalization invoke two distinct senses in which a circular predicate’s semantic behavior is explained by a “revision rule” carrying hypothetical information …Read more
  •  48
    Curry's Paradox
    with Jc Beall
    Edward N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy. CSLI Publications. 2017.
    “Curry’s paradox”, as the term is used by philosophers today, refers to a wide variety of paradoxes of self-reference or circularity that trace their modern ancestry to Curry (1942b) and Löb (1955). The common characteristic of these so-called Curry paradoxes is the way they exploit a notion of implication, entailment or consequence, either in the form of a connective or in the form of a predicate. Curry’s paradox arises in a number of different domains. Like Russell’s paradox, it can take the f…Read more
  •  44
    Truth's Dialectical Role: From Friction to Tension
    Inquiry: An Interdisciplinary Journal of Philosophy. forthcoming.
    This paper contrasts two versions of a pragmatist critique of deflationism about truth. According to the critique, understanding the practice of factual discourse requires understanding a role played in that practice by speakers’ use of the concept of truth. Huw Price takes this role to lie in the expression of attitudes of approval and disapproval toward other speakers’ assertions. Proceeding from Robert Brandom’s analysis of assertion, I defend an alternative account of truth’s role in terms o…Read more