This paper develops and critiques the two-dimensionalist account of mental content developed by David Chalmers. I first explain Chalmers's account and show that it resists some popular criticisms. I then argue that the main interest of two-dimensionalism lies in its accounts of cognitive significance and of the connection between conceivability and possibility. These accounts hinge on the claim that some thoughts have a primary intension that is necessarily true. In this respect, they are Carnapian, and subject to broadly Quinean attack. (...) The remainder of the paper advances such an attack. I argue that there are possible thinkers who are willing to revise their beliefs in response to expert testimony, and that such thinkers will have no thoughts with necessary primary intensions. I even suggest that many actual humans may well be such thinkers. I go on to argue that these possible thinkers show that the two-dimensionalist accounts fail. (shrink)

In this paper, I present the case of the discovery of complex numbers by Girolamo Cardano. Cardano acquires the concepts of (specific) complex numbers, complex addition, and complex multiplication. His understanding of these concepts is incomplete. I show that his acquisition of these concepts cannot be explained on the basis of Christopher Peacocke’s Conceptual Role Theory of concept possession. I argue that Strong Conceptual Role Theories that are committed to specifying a set of transitions that is both necessary and sufficient (...) for possession of mathematical concepts will always face counterexamples of the kind illustrated by Cardano. I close by suggesting that we should rely more heavily on resources of Anti-Individualism as a framework for understanding the acquisition and possession of concepts of abstract subject matters. (shrink)

A crucial part of the contemporary interest in logicism in the philosophy of mathematics resides in its idea that arithmetical knowledge may be based on logical knowledge. Here an implementation of this idea is considered that holds that knowledge of arithmetical principles may be based on two things: (i) knowledge of logical principles and (ii) knowledge that the arithmetical principles are representable in the logical principles. The notions of representation considered here are related to theory-based and structure-based notions of representation (...) from contemporary mathematical logic. It is argued that the theory-based versions of such logicism are either too liberal (the plethora problem) or are committed to intuitively incorrect closure conditions (the consistency problem). Structure-based versions must on the other hand respond to a charge of begging the question (the circularity problem) or explain how one may have a knowledge of structure in advance of a knowledge of axioms (the signature problem). This discussion is significant because it gives us a better idea of what a notion of representation must look like if it is to aid in realizing some of the traditional epistemic aims of logicism in the philosophy of mathematics. (shrink)

Torin Alter (2013) attempts to rescue phenomenal concepts and the knowledge argument from the critique of Ball 2009 by appealing to conceptual mastery. I show that Alter’s appeal fails, and describe general features of conceptual mastery that suggest that no such appeal could succeed.

One way to discredit the suggestion that a statement is true just in virtue of its meaning is to observe that its truth is the subject of genuine disagreement. By appealing to the case of the unorthodox philosopher, Timothy Williamson has recast this response as an argument foreclosing any appeal to analyticity. Reconciling Quine’s epistemological holism with his treatment of the ‘deviant logician’, I show that we may discharge the demands of charitable interpretation even while attributing trivial semantic error to (...) Williamson’s philosophers. Williamson’s effort to generalize the argument from disagreement therefore fails. (shrink)

According to the most popular non-skeptical views about intuition, intuitions justify beliefs because they are based on understanding. More precisely: if intuiting that p justifies you in believing that p it does so because your intuition is based on your understanding of the proposition that p. The aim of this paper is to raise some challenges for accounts of intuitive justification along these lines. I pursue this project from a non-skeptical perspective. I argue that there are cases in which intuiting (...) that p justifies you in believing that p, but such that there is no compelling reason to think this is because your intuition is based on your understanding of the proposition that p. (shrink)

There is a long tradition comparing moral knowledge to mathematical knowledge. In this paper, I discuss apparent similarities and differences between knowledge in the two areas, realistically conceived. I argue that many of these are only apparent, while others are less philosophically significant than might be thought. The picture that emerges is surprising. There are definitely differences between epistemological arguments in the two areas. However, these differences, if anything, increase the plausibility of moral realism as compared to mathematical realism. It (...) is hard to see how one might argue, on epistemological grounds, for moral antirealism while maintaining commitment to mathematical realism. But it may be possible to do the opposite. (shrink)

Many philosophers accept a view – what I will call the intuition picture – according to which intuitions are crucial evidence in philosophy. Recently, Williamson has argued that such views are best abandoned because they lead to a psychologistic conception of philosophical evidence that encourages scepticism about the armchair judgements relied upon in philosophy. In this paper I respond to this criticism by showing how the intuition picture can be formulated in such a way that: it is consistent with a (...) wide range of views about not only philosophical evidence but also the nature of evidence in general, including Williamson's famous view that E = K; it can maintain the central claims about the nature and role of intuitions in philosophy made by proponents of the intuition picture; it does not collapse into Williamson's own deflationary view of the nature and role of intuitions in philosophy; and it does not lead to scepticism. (shrink)

Often philosophers have reason to ask fundamental questions about the aims, methods, nature, or value of their own discipline. When philosophers systematically examine such questions, the resulting work is sometimes referred to as “metaphilosophy.” Metaphilosophy, it should be said, is not a well-established, or clearly demarcated, field of philosophical inquiry like epistemology or the philosophy of art. However, in the late 20th and early 21st centuries there has been a great deal of metaphilosophical work on issues concerning the methodology of (...) philosophy in the analytic tradition. This article focuses on that work. (shrink)

Truthmakers are supposed to explain the truth of propositions, but it is unclear what kind of explanation truthmakers can provide. In this paper, I argue that ‘truthmaker explanations’ conflate two different explanatory projects. The first project is essentially concerned with truth, while the second project is concerned with reductive explanation. It is the latter project, I maintain, which is really central to truthmaking theory. On this basis, a general account of truthmaking can be formulated, which, when combined with a specific (...) theory of reduction (the ‘conceptual entailment approach’), yields a new analysis of truthmaking. This analysis is intuitively appealing and avoids the problem of necessary truths, which poses a serious obstacle for standard accounts. (shrink)

I discuss three ways of responding to the logical omniscience problems faced by traditional ‘possible worlds’ epistemic logics. Two of these responses were put forward by Hintikka and the third by Cresswell; all three have been influential in the literature on epistemic logic. I show that both of Hintikka's responses fail and present some problems for Cresswell’s. Although Cresswell's approach can be amended to avoid certain unpalatable consequences, the resulting formal framework collapses to a sentential model of knowledge, which defenders (...) of the ‘possible worlds’ approach are frequently critical of. (shrink)

I discuss some problems faced by the meaning‐inconsistency view on the liar and sorites paradoxes which I have elsewhere defended. Most of the discussion is devoted to the question of what a defender of the meaning‐inconsistency view should say about semantic competence.

Gödel argued that intuition has an important role to play in mathematical epistemology, and despite the infamy of his own position, this opinion still has much to recommend it. Intuitions and folk platitudes play a central role in philosophical enquiry too, and have recently been elevated to a central position in one project for understanding philosophical methodology: the so-called ‘Canberra Plan’. This philosophical role for intuitions suggests an analogous epistemology for some fundamental parts of mathematics, which casts a number of (...) themes in recent philosophy of mathematics (concerning a priority and fictionalism, for example) in revealing new light. (shrink)

The aim of this chapter is to defend the claim that “the intentional is normative” against a number of objections, including those that Georges Rey has presented in his contribution to this volume. First, I give a quick sketch of the principal argument that I have used to support this claim, and briefly comment on Rey’s criticisms of this argument. Next, I try to answer the main objections that have been raised against this claim. First, it may seem that the (...) claim that “the intentional is normative” is just hopelessly Panglossian: doesn’t this claim just wilfully ignore all the mountains of evidence that we have for the sheer ubiquity and pervasiveness of human irrationality? Secondly, the claim that intentional mental states are essentially normative seems to be intended as a purely philosophical, non-empirical account of the nature of these mental states: but why should we think that purely philosophical reflection can tell us anything interesting about the nature of the mind -- shouldn’t we look to empirical psychology to enlighten us about such matters? I argue that neither of these objections succeeds in undermining my version of the claim that "the intentional is normative". (shrink)

There is a difference between merely thinking that P and really grasping that P. For example, Jackson's (1982) black-and-white Mary cannot (before leaving her black-and-white room) fully grasp what it means to say that fire engines are red, but she can perfectly well entertain the thought that fire engines are red. The contrast between merely thinking and grasping is especially salient in the context of certain moral decisions. For example, an individual who grasps the plight of starving children thanks to (...) evocative images seems much more likely to donate for the children's benefit than someone who is merely told about their plight. This paper offers a phenomenal account of grasping according to which grasping a content (whether a proposition or concept) consists in one's thoughts about the content being constituted by phenomenal experiences of constituents of the content. This account improves on earlier phenomenal accounts of grasping (Bourget 2017a, 2018) by allowing for partial grasping and generalizing to concepts. The paper also addresses objections to phenomenal accounts of grasping, including the objection that recent developments in AI technology show that consciousness is irrelevant to grasping and understanding. (shrink)

What is the role of imagination in a priori knowledge? Here I provide a partial answer, arguing that imagination can be used to shed light on which experiences merely enable knowledge, versus which are evidential. I reach this partial answer by considering in detail Timothy’s Williamson’s recent argument that the a priori/a posteriori distinction is insignificant. There are replies to the argument by Boghossian and Casullo that might work on their own terms, but my reply examines the assumptions that Williamson (...) makes about the role of imagination in knowledge generation. I show that Williamson’s argument does not account for important distinctions from recent discussions of imaginative content. When these distinctions are not ignored, we can see that Williamson’s argument attributes a subject knowledge on the basis of a faulty application of universal generalization. I close by connecting my positive account of the role of imagination in the a priori to a debate about the role of memory in the a priori that played out 25 years ago. (shrink)

Easy Ontologists, most notably Thomasson (2015), argue that ontological questions are shallow. They think that these questions can either be answered by using our ordinary conceptual competence—of course tables exist!—or are meaningless, or else should be answered through conceptual re-engineering. Ontology thus is “easy”, requiring no distinctively metaphysical investigation. This paper raises a two-stage objection to Easy Ontology. We first argue that questions concerning which entities exist are inextricably bound up with “ontological category questions”, which are questions concerning the identity (...) of and differences between kinds of entities. We then argue that ontological category questions do not have trivial answers, are meaningful, and cannot be answered through conceptual re-engineering. Easy Ontology hence does not constitute a comprehensive ontological methodology. While some of ontology might be easy, category questions form a central part of ontology and are not answered easily. (shrink)

What is the relation of logic to thinking? My dissertation offers a new argument for the claim that logic is constitutive of thinking in the following sense: representational activity counts as thinking only if it manifests sensitivity to logical rules. In short, thinking has to be minimally logical. An account of thinking has to allow for our freedom to question or revise our commitments – even seemingly obvious conceptual connections – without loss of understanding. This freedom, I argue, requires that (...) thinkers have general abilities to respond to support and tension among their thoughts. And these abilities are constituted by following logical rules. So thinkers have to follow logical rules. But there isn’t just one correct logic for thinking. I show that my view is consistent with logical pluralism: there are a range of correct logics, any one of which a thinker might follow. A logic for thinking does, however, have to contain certain minimal principles: Modus Ponens and Non-Contradiction, and perhaps others. We follow logical rules by exercising logical capacities, which display a distinctive first-person/third-person asymmetry: a subject can find the instances of a rule compelling without seeing them as instances of a rule. As a result, there are two limits on illogical thinking. First, thinkers have to tend to find instances of logical rules compelling. Second, thinkers can’t think in obviously illogical ways. So thinking has to be logical – but not perfectly so. When we try to think, but fail, we produce nonsense. But our failures to think are often subjectively indistinguishable from thinking. To explain how this occurs, I offer an account of nonsense. To be under the illusion that some nonsense makes sense is to enter a pretence that the nonsense is meaningful. Our use of nonsense within the pretence relies on the role of logical form in understanding. Finally, while the normativity of logic doesn’t fall directly out of logical constitutivism, it’s possible to build an attractive account of logical normativity which has logical constitutivism as an integral part. I argue that thinking is necessary for human flourishing, and that this is the source of logical normativity. (shrink)

Conceptual analysis as traditionally understood can be improved by allowing the use of a certain kind of empirical investigation. The conceptual analysis in which the kind of empirical investigation in question is used can be called “empirical conceptual analysis”. In the present inquiry, I provide a systematic exposition of empirical conceptual analysis, so understood, considering what exactly empirical conceptual analysis is, the different kinds of empirical conceptual analysis, and the main application of the method within philosophy. It can be defined (...) as a method that consists in drawing a conclusion about the semantic application conditions of a predicate on the basis of observation of the manifestations of semantic intuitions. The different kinds of empirical conceptual analysis are distinguished according to the way the manifestations of semantic intuitions are observed. The main application of the method is solving conceptual disputes – situations in which different competent speakers of a language disagree about the semantic application conditions of a predicate from that language, and their disagreement is caused by the fact that they have different semantic intuitions about that predicate. (shrink)

When we think about what others believe and want, we are usually affected by what we know about their attitudes. If I’m aware that another person believes something, I have an opportunity to agree or disagree with it. If I think that another person wants something, I can endorse or disapprove of her desire. The importance of such reactions to attributed beliefs and desires has thus far been overlooked in philosophy of mind where the focus has been on explanatory and (...) predictive roles of attitude attribution. The primary goal of this thesis is to fill this lacuna and to articulate the indispensability of such reactions – agreement/disagreement and endorsement/disapproval – for social cognition. In the process of doing it I also show how these initial reactions ground certain further possible responses in intersubjective communication: manipulation, negotiation or adoption of attributed attitudes. The second aim of this thesis is to explicate what is it about belief and desire attributions that makes the responses I’ve described possible. Because one can agree or disagree both with beliefs and assertions and endorse or disapprove both desires and requests, I argue that we should understand belief attributions in terms of assertions and desire attributions in terms of requests. When we think what someone believes and wants, we treat her as a conversation partner because her attitudes call for the same responses as speech acts do, even if she hasn’t made any explicit assertion or request herself. In short, beliefs and desires have communicative significance. Given such significance, we can also see what one needs to take into consideration when attributing these attitudes to another. My answer in the thesis is that belief and desire attributions have to be grounded in facts about the behaviour and well-being of attributees and that these facts also constitute the nature of beliefs and desires. (shrink)

What does it take for lawyers and others to think or talk about the same legal topic—e.g., defamation, culpability? We argue that people are able to think or talk about the same topic not when they possess a matching substantive understanding of the topic, as traditional metasemantics says, but instead when their thoughts or utterances are related to each other in certain ways. And what determines the content of thoughts and utterances is what would best serve the core purposes of (...) the representational practice within which the thought or utterance is located. In thus favoring a “relational model” in metasemantics, we share Ronald Dworkin's goal of explaining fundamental legal disagreements, and also his reliance on constructive interpretation. But what we delineate is a far more general and explanatorily resourceful metasemantics than what Dworkin articulated, which also bypasses some controversial implications for the nature of law that Dworkin alleged. (shrink)

(1) This paper is about how to build an account of the normativity of logic around the claim that logic is constitutive of thinking. I take the claim that logic is constitutive of thinking to mean that representational activity must tend to conform to logic to count as thinking. (2) I develop a natural line of thought about how to develop the constitutive position into an account of logical normativity by drawing on constitutivism in metaethics. (3) I argue that, while (...) this line of thought provides some insights, it is importantly incomplete, as it is unable to explain why we should think. I consider two attempts at rescuing the line of thought. The first, unsuccessful response is that it is self-defeating to ask why we ought to think. The second response is that we need to think. But this response secures normativity only if thinking has some connection to human flourishing. (4) I argue that thinking is necessary for human flourishing. Logic is normative because it is constitutive of this good. (5) I show that the resulting account deals nicely with problems that vex other accounts of logical normativity. (shrink)

The traditional epistemological approach towards judgments like BACHELORS ARE UNMARRIED or ALL KNOWLEDGE IS TRUE is that they are justified or known on the basis of understanding alone. In this paper, I develop an understanding-based account which takes understanding to be a sufficient source of epistemic justification for the relevant judgments. Understanding-based accounts face the problem of the rational revisability of almost all human judgments. Williamson has recently developed a reinforced version of this problem: the challenge from expert revisability. This (...) is the problem that even the best candidate judgments for understanding-based justification can be rationally rejected by the relevant experts, who may not even have any disposition or inclination to accept these judgments. However, I argue that expert revisability is fully compatible with the proposed understanding-based epistemology, because expert revisability is true of sufficient sources of epistemic justification in general. A remaining metaphysical worry is that understanding might end up being ‘too thin’ to play the envisaged epistemological role. This worry can be countered with a novel metaphysics of understanding involving second-order dispositions. (shrink)

Expressivists traditionally explain normative supervenience by saying it is a conceptual truth. I argue against this tradition in two steps. First, I show the modal claim that stands in need of explanation has been stated imprecisely. Classic arguments in metaethics for normative supervenience and those that rely on it as a premise presuppose a constraint on the supervenience base that is rarely (if ever) made explicit: the repeatability of the non-normative properties on which the normative supervenes. Non-normative properties are repeatable (...) when it is possible for numerically distinct individuals to share them. Second, I show if the modal truth that stands in need of explanation entails that there are individuals exactly alike in repeatable non-normative respects that cannot normatively differ, then standard expressivist accounts of normative supervenience as a conceptual truth are unsuccessful. Expressivist metasemantics for normative terms, together with constitutive facts about the non-cognitive attitudes essentially involved in normative thought, strongly suggest that repeatable supervenience could not be a conceptual truth. I argue, finally, that although repeatable supervenience bears the marks of a conceptual truth, expressivists should be content to treat it as an ordinary normative truth, and to explain it the same way they explain other normative truths. (shrink)

Most contemporary theorists regard the traditional thesis that perception is essentially conscious as just another armchair edict to be abandoned in the wake of empirical discovery. Here I reconsider this dramatic departure from tradition. My aim is not to recapture our prelapsarian confidence that perception is inevitably conscious (though much I say might be recruited to that cause). Instead, I want to problematize the now ubiquitous belief in unconscious perception. The paper divides into two parts. Part One is more purely (...) philosophical. It explains how standard arguments for unconscious perception rely on contentious background assumptions concerning the relation between ordinary perception and the explanatory constructs of scientific psychology. Part Two, in contrast, offers detailed engagement with relevant empirical work. It exposes how, even setting aside the concerns identified in Part One, a dilemma confronts the believer in unconscious perception. This dilemma arises because ordinary perception is an individual-level state or occurrence, yet criteria sufficiently stringent to guarantee that a putatively perceptual state is unconscious vitiate the grounds for its attribution to the individual. The dilemma foments a hypothesis, namely that the conditions for genuine, individual-level perception are sufficient conditions for perceptual consciousness. The viability of this hypothesis should unnerve anyone who thinks unconscious perception is simply an empirical given. (shrink)

This thesis engages with three topics and the relationships between them: (i) the phenomenon of disagreement (paradigmatically, where one person makes a claim and another denies it); (ii) the normative character of disagreements (the issue of whether, and in what sense, one of the parties is “at fault” for believing something that’s untrue); (iii) the issue of which theory of what truth is can best accommodate the norms relating belief and truth. People disagree about all sorts of things: about whether (...) climate is changing, death penalty is wrong, sushi is delicious, or Louis C.K. is funny. However, even focusing on disagreements in the evaluative domain (e.g., taste, moral and comedic), where people have the intuition that there is ‘no fact of the matter’ about who is right, there are significant differences that require explanation. For instance, disagreement about taste is generally perceived as shallow. People accept to disagree and live comfortably with that fact. By contrast, moral disagreement is perceived as deep and sometimes hard to tolerate. Comedic disagreement is similar to taste. However, it may involve an element of ‘intellectual snobbery’ that is absent in taste disagreement. The immediate questions are whether these contrasts allow of precise characterization and what is responsible for them. I argue that, once a case is made for the truth-aptness of judgments in these areas, the contrast can be explained in terms of variable normative function of truth – as exerting a lightweight normative constraint in the domain of taste and a stricter constraint in the moral domain. In particular I claim that while truth in the moral domain exerts a sui generis deontic control, this normative feature of truth is silent in both the taste and the comedic domains. This leads me to investigate how to conceive of truth in the light of normative variability. I argue that an amended version of deflationism – minimally inflated deflationism – can account for the normative variability of truth. (shrink)

There is a New Idea in epistemology. It goes by the name of ‘knowledge first,’ and it is particularly associated with Timothy Williamson’s book Knowledge and Its Limits. In slogan form, to put knowledge first is to treat knowledge as basic or fundamental, and to explain other states—belief, justification, maybe even content itself—in terms of knowledge, instead of vice versa. The idea has proven enormously interesting, and equally controversial. But deep foundational questions about its actual content remain relatively unexplored. We (...) think that a wide variety of views travel under the banner of ‘knowledge first’ (and that the slogan doesn’t help much with differentiating them). Furthermore, we think it is far from straightforward to draw connections between certain of these views; they are more independent than they are often assumed to be. Our project here is exploratory and clarificatory. We mean to tease apart various ‘knowledge first’ claims, and explore what connections they do or do not have with one another. Our taxonomy is offered in §2, and connections are explored in §3. The result, we hope, will be a clearer understanding of just what the knowledge first theses are. We conclude, in §4, with some brief suggestions as to how we think the various theses might be evaluated. (shrink)

Conceptual Engineering alleges that philosophical problems are best treated via revising or replacing our concepts (or words). The goal here is not to defend Conceptual Engineering but rather show that it can (and should) invoke Neutralism—the broad view that philosophical progress can take place when (and sometimes only when) a thoroughly neutral, non-specific theory, treatment, or methodology is adopted. A neutralist treatment of one form of skepticism is used as a case study and is compared with various non-neutral rivals. Along (...) the way, a new taxonomy for paradox is proposed. (shrink)

The semantic rules that govern ordinary property discourse appear to give rise to a version of Russell's antinomy. Do we therefore have an inconsistent conception of properties? This paper firstly develops a consistent conception of properties and secondly argues that we may indeed interpret ordinary property discourse as expressing the consistent conception rather than an inconsistent one.

This article offers an overview of inferential role semantics. We aim to provide a map of the terrain as well as challenging some of the inferentialist’s standard commitments. We begin by introducing inferentialism and placing it into the wider context of contemporary philosophy of language. §2 focuses on what is standardly considered both the most important test case for and the most natural application of inferential role semantics: the case of the logical constants. We discuss some of the (alleged) benefits (...) of logical inferentialism, chiefly with regards to the epistemology of logic, and consider a number of objections. §3 introduces and critically examines the most influential and most fully developed form of global inferentialism: Robert Brandom’s inferentialism about linguistic and conceptual content in general. Finally, in §4 we consider a number of general objections to IRS and consider possible responses on the inferentialist’s behalf. (shrink)

In his essay ‘“Conceptual Truth”’, Timothy Williamson (2006) argues that there are no truths or entailments that are constitutive of understanding the sentences involved. In this reply I provide several examples of entailment patterns that are intuitively constitutive of understanding in just the way that Williamson rejects, and I argue that Williamson’s argument does nothing to show otherwise. Williamson bolsters his conclusion by appeal to a certain theory about the nature of understanding. I argue that his theory fails to consider (...) the role that the structure of a sentence plays in determining its meaning. The cases I present suggest that this role imposes greater cognitive requirements on understanding than Williamson can acknowledge. (shrink)

Samuel Scheffler has recently defended what he calls the ‘afterlife conjecture’, the claim that many of our evaluative attitudes and practices rest on the assumption that human beings will continue to exist after we die. Scheffler contends that our endorsement of this claim reveals that our evaluative orientation has four features: non-experientialism, non-consequentialism, ‘conservatism,’ and future orientation. Here I argue that the connection between the afterlife conjecture and these four features is not as tight as Scheffler seems to suppose. In (...) fact, those with an evaluative orientation that rejects these four features have equally strong moral reasons to endorse the existence of the collective afterlife. (shrink)

Frege famously endorsed a principle of Thought-Sentence Correspondence that can be spelt out as follows: (Corr1) For all sentences s, for all thoughts t, if r expresses t, then:if a sense is expressed by a part of s then it is part of t, &(Corr2) For all sentences s, for all thoughts t, if s expresses t, then:if a sense is part of t then it is expressed by at least one part of s. He clearly embraces Corr1 when he (...) writes in § 32 of Grundgesetze, vol. I: ‘If a name is part of the name of a trut... (shrink)

The topic of this paper is our knowledge of the natural numbers, and in particular, our knowledge of the basic axioms for the natural numbers, namely the Peano axioms. The thesis defended in this paper is that knowledge of these axioms may be gained by recourse to judgements of probability. While considerations of probability have come to the forefront in recent epistemology, it seems safe to say that the thesis defended here is heterodox from the vantage point of traditional philosophy (...) of mathematics. So this paper focuses on providing a preliminary defense of this thesis, in that it focuses on responding to several objections. Some of these objections are from the classical literature, such as Frege's concern about indiscernibility and circularity, while other are more recent, such as Baker's concern about the unreliability of small samplings in the setting of arithmetic. Another family of objections suggests that we simply do not have access to probability assignments in the setting of arithmetic, either due to issues related to the~$\omega$-rule or to the non-computability and non-continuity of probability assignments. Articulating these objections and the responses to them involves developing some non-trivial results on probability assignments, such as a forcing argument to establish the existence of continuous probability assignments that may be computably approximated. In the concluding section, two problems for future work are discussed: developing the source of arithmetical confirmation and responding to the probabilistic liar. (shrink)

Many theorists hold that there is, among value concepts, a fundamental distinction between thin ones and thick ones. Among thin ones are concepts like good and right. Among concepts that have been regarded as thick are discretion, caution, enterprise, industry, assiduity, frugality, economy, good sense, prudence, discernment, treachery, promise, brutality, courage, coward, lie, gratitude, lewd, perverted, rude, glorious, graceful, exploited, and, of course, many others. Roughly speaking, thick concepts are value concepts with significant descriptive content. I will discuss a number (...) of problems having to do with how best to understand the notion of a thick concept. Thick concepts have been widely discussed in the .. (shrink)

What sorts of things are the intuitions generated via thought experiment? Timothy Williamson has responded to naturalistic skeptics by arguing that thought-experiment intuitions are judgments of ordinary counterfactuals. On this view, the intuition is naturalistically innocuous, but it has a contingent content and could be known at best a posteriori. We suggest an alternative to Williamson's account, according to which we apprehend thought-experiment intuitions through our grasp on truth in fiction. On our view, intuitions like the Gettier intuition are necessarily (...) true and knowable a priori. Our view, like Williamson's, avoids naturalistic skepticism. (shrink)

In this article, we defend the semantic theory, Question Under Discussion (QUD) Contextualism about Reasons that we develop in our monograph Semantics for Reasons against a series of objections that focus on whether our semantics can deliver predictions for some common examples, how we defend the semantic theory, and how we assess it compared to its competitors.

ABSTRACT In recent years, debates on same-sex marriage and the recognition of transwomen as women have been raging. These debates often seem to revolve around the meaning of, respectively, the word ‘marriage’ and ‘woman’. That such debates should take place might be puzzling. It seems that if debates on gay and transgender rights revolve around the meaning of these words, then those in favor of same-sex marriage and of the recognition of transwomen as women have no room left to maneuver. (...) However, prima facie, the pro – and anti-, in both cases, have genuine disagreements over the meaning of these words: though the analyses of revisionary theorists are revisionary, they are analyses. Sally Haslanger and other philosophers in her wake have appealed to an anti-descriptivist externalist view of meaning to provide the conceptual foundations of this practice of revisionary theorizing: revisionary analyses bring to light what, unbeknownst to us, these words mean. In this paper, I argue that a descriptivist externalist view should be preferred instead. My argument rests on the thesis that what is contested in these debates is the meaning of the words ‘marriage’ and ‘women’ as used in the law. (shrink)

In this paper, I argue from a metasemantic principle to the existence of analytic sentences. According to the metasemantic principle, an external feature is relevant to determining which concept one expresses with an expression only if one is disposed to treat this feature as relevant. This entails that if one isn’t disposed to treat external features as relevant to determining which concept one expresses, and one still expresses a given concept, then something other than external features must determine that one (...) does. I argue that, in such cases, what determines that one expresses the concept also puts one in a position to know that certain sentences are true—these sentences are thus analytic relative to this determination basis. Finally, I argue that there are such cases: some sentences are analytic relative to what determines that we express certain key concepts, and these sentences include ones that have always been thought to be the best candidates for being analytic, namely, stipulative truths, and first principles of mathematics. (shrink)

In this paper, I introduce and defend a notion of analyticity for formal languages. I first uncover a crucial flaw in Timothy Williamson’s famous argument template against analyticity, when it is applied to sentences of formal mathematical languages. Williamson’s argument targets the popular idea that a necessary condition for analyticity is that whoever understands an analytic sentence assents to it. Williamson argues that for any given candidate analytic sentence, there can be people who understand that sentence and yet who fail (...) to assent to it. I argue that, on the most natural understanding of the notion of assent when it is applied to sentences of formal mathematical languages, Williamson’s argument fails. Formal analyticity is the notion of analyticity that is based on this natural understanding of assent. I go on to develop the notion of formal analyticity and defend the claim that there are formally analytic sentences and rules of inference. I conclude by showing the potential payoffs of recognizing formal analyticity. (shrink)

What do you know when you know what a sentence means? According to some theories, understanding a sentence is, in part, knowing its truth-conditions. Dorit Bar-On, Claire Horisk, and William Lycan have defended such theories on the grounds of an “epistemic determination argument”. That argument turns on the ideas that understanding a sentence, along with knowledge of the non-linguistic facts, suffices to know its truth-value, and that being able to determine a sentence’s truth-value given knowledge of the non-linguistic facts is (...) knowing its truth-conditions. I argue that the EDA withstands the objections recently raised by Daniel Cohnitz and Jaan Kangilaski, but fails for other reasons. It equivocates between a fine-grained and a coarse grained conception of “facts.”. (shrink)

There are many modal epistemologies available to us. Which should we endorse? According to Bob Hale, we can start to answer this question by examining the architecture of modal knowledge. That is, we can try to decide between the following claims: knowing that p is possible is essentially a matter of having a well-founded belief that there are no conflicting necessities—a necessity-based approach—and knowing that p is necessary is essentially a matter of having a well-founded belief that there are no (...) conflicting possibilities—a possibility-based approach. Hale argues for the first of these claims, but I contend that his arguments fail. However, it doesn't follow that we should endorse a possibility-based approach. I repurpose Hale's arguments to show those who would endorse possibility-based approaches need to say more about our modal knowledge concerning logic and mathematics; if they can't, then they ought to endorse a hybrid modal epistemology that doesn't give priority to one modality across the board. Additionally, those who endorse possibility-based views may be committed to Peter van Inwagen's modal skepticism. (shrink)

This special issue collects together nine new essays on logical consequence :the relation obtaining between the premises and the conclusion of a logically valid argument. The present paper is a partial, and opinionated,introduction to the contemporary debate on the topic. We focus on two influential accounts of consequence, the model-theoretic and the proof-theoretic, and on the seeming platitude that valid arguments necessarilypreserve truth. We briefly discuss the main objections these accounts face, as well as Hartry Field’s contention that such objections (...) show consequenceto be a primitive, indefinable notion, and that we must reject the claim that valid arguments necessarily preserve truth. We suggest that the accountsin question have the resources to meet the objections standardly thought to herald their demise and make two main claims: (i) that consequence, as opposed to logical consequence, is the epistemologically significant relation philosophers should be mainly interested in; and (ii) that consequence is a paradoxical notion if truth is. (shrink)

In response to Paul Boghossian's objections in ‘Inferentialism and the epistemology of logic’, this paper defends counterexamples offered by Paolo Casalegno and the author to an inferentialist account of what it is to understand a logical constant, on which Boghossian had relied in his explanation of our entitlement to reason according to basic logical principles. The importance for understanding is stressed of non-inferential aspects of the use of logical constants. Boghossian's criteria for individuating concepts are also queried.

In “Double Vision Two Questions about the Neo-Fregean Programme”, John MacFarlane’s raises two main questions: (1) Why is it so important to neo-Fregeans to treat expressions of the form ‘the number of Fs’ as a species of singular term? What would be lost, if anything, if they were analysed instead as a type of quantifier-phrase, as on Russell’s Theory of Definite Descriptions? and (2) Granting—at least for the sake of argument—that Hume’s Principle may be used as a means of implicitly (...) defining the number operator, what advantage, if any, does adopting this course possess over a direct stipulation of the Dedekind-Peano axioms? This paper attempts to answer them. In response to the first, we spell out the links between the recognition of numerical terms as vehicles of singular reference and the conception of numbers as possible objects of singular, or object-directed, thought, and the role of the acknowledgement of numbers as objects in the neo-Fregean attempt to justify the basic laws of arithmetic. In response to the second, we argue that the crucial issue concerns the capacity of either stipulation—of Hume’s Principle, or of the Dedekind-Peano axioms—to found knowledge of the principles involved, and that in this regard there are crucial differences which explain why the former stipulation can, but the latter cannot, play the required foundational role. (shrink)

ABSTRACTAndrew Bacon, Matti Eklund, and Patrick Greenough have individually proposed objections to the project in my book, Replacing Truth. Briefly, the book outlines a conceptual engineering project – our defective concept of truth is replaced for certain purposes with a team of concepts that can do some of the jobs we thought truth could do. Here, I respond to their objections and develop the views expressed in Replacing Truth in various ways.