Far from being unwelcome or impossible in a mathematical setting, indeterminacy in various forms can be seen as playing an important role in driving mathematical research forward by providing “sources of newness” in the sense of Hutter and Farías :434–449, 2017). I argue here that mathematical coincidences, phenomena recently under discussion in the philosophy of mathematics, are usefully seen as inducers of indeterminacy and as put to work in guiding mathematical research. I suggest that to call a pair of mathematical (...) facts a coincidence is roughly to suggest that the investigation of connections between these facts isn’t worthwhile. To say of this pair, “That’s no coincidence!” is to suggest just the opposite. I further argue that this perspective on mathematical coincidence, which pays special attention to what mathematical coincidences do, may provide us with a better view of what mathematical coincidences are than extant accounts. I close by reflecting on how understanding mathematical coincidences as generating indeterminacy accords with a conception of mathematical research as ultimately aiming to reduce indeterminacy and complexity to triviality as proposed in Rota Indiscrete thoughts, Birkhäuser, 1997). (shrink)

Two opposed movements of thought threaten philosophy as an autonomous practice from the inside: scientific naturalism and quietism. Naturalism (qua methodological thesis) threatens to turn philosophy into a mere ancilla of the sciences, quietism understood as the prescription to remain silent in philosophy would not countenance any more "positive" philosophy. This book reconstructs naturalism and quietism such that it becomes clear naturalism does have the potential to end philosophy as an autonomous practice and that quietism, correctly understood, does not. To (...) this end, this book provides arguments against the prevailing orthodox status of naturalism and a heterogenous reading of Wittgenstein's metaphilosophical quietism as the rejection of a certain kind of theories in philosophy, namely quasi-scientific theories. (shrink)

Quietist Moral Realists accept that there are moral facts and properties, while aiming to avoid many of the explanatory burdens thought to fall on traditional moral realists. This chapter examines the forms that Quietist Moral Realism has taken and the challenges it has faced, in order to better assess its prospects. The best hope, this chapter argues, lies in a pragmatist approach that distinguishes the different functions of diverse areas of discourse. This paves the way for a form of Quietism (...) that does not simply remain quiet about the explanatory demands of metaethics, but rather is able to diagnose where they go wrong. By combining a neopragmatic analysis of the discourse with an easy approach to ontology, , we can develop a form of Quietist Moral Realism that is far stronger than critics of quietism have appreciated. (shrink)

According to one view of alethic modality, to say that something is necessary is to say that we must take that thing to be true according to rules of thinking or linguistic rules. In other words, alethic modality is reduced to deontic modality with respect to thoughts or language. This view has been argued to have many philosophical advantages over the traditional view that takes alethic modality to describe something in the world. In this paper, I argue that the deontic (...) view also enjoys a wide range of empirical supports from linguistics and psychology. (shrink)

Despite its many advantages as a metaethical theory, moral expressivism faces difficulties as a semantic theory of the meaning of moral claims, an issue underscored by the notorious Frege-Geach problem. I consider a distinct metaethical view, inferentialism, which like expressivism rejects a representational account of meaning, but unlike expressivism explains meaning in terms of inferential role instead of expressive function. Drawing on Michael Williams’ recent work on inferential theories of meaning, I argue that an appropriate understanding of the pragmatic role (...) of moral discourse—the facilitation of coordinated social behavior—suggests the kind of inferences we should expect terms with this function to license. I offer a sketch of the inferential roles the moral ‘ought’ plays, and argue that if we accept that the relevant inferential roles are meaning-constitutive, we will be in a position to solve the Frege-Geach problem. Such an inferentialist solution has advantages over those forwarded by expressivists such as Blackburn and Gibbard. First, it offers a more straightforward explanation of the meaning of moral terms. It also gives simple answers to at least two semantic worries that have vexed contemporary expressivists—the “problem of permissions” and the commitment to “mentalism”, both of which I argue are problems that don’t get traction with an inferentialist approach. I conclude by considering ways in which this approach can be expanded into a more robust semantic account. (shrink)

Explaining genuine moral disagreement is a challenge for metaethical theories. For expressivists, this challenge comes from the plausibility of agents making seemingly univocal claims while expressing incongruent conative attitudes. I argue that metaethical inferentialism – a deflationary cousin to expressivism, which locates meaning in the inferential import of our moral assertions rather than the attitudes they express – offers a unique solution to this problem. Because inferentialism doesn’t locate the source of moral disagreements in a clash between attitudes, but instead (...) in conflicts between the inferential import of ethical assertions, the traditional problem for expressivism can be avoided. After considering two forms of inferentialism that lead to revenge versions of the problem, I conclude by recommending that we understand the semantics of moral disagreements pragmatically: the source of univocity does not come from moral or semantic facts waiting to be described, but instead from the needs that ethical and semantic discourses answer – a solution to the problems of what we are to do and how we are to talk about it. (shrink)

Metasemantic inferentialismhas gained popularity in the last few decades. Traditionally, inferentialism is combined with a deflationary attitude towards semantic terms such as truth and reference, i.e., many inferentialists hold that when we use these semantic terms we do not purport to refer to substantive properties. This combination makes inferentialism attractive for philosophers who see themselves as antirealists. Although the attractions of combining inferentialism and deflationism are easy to see, deflationism is also a controversial position. For one, deflationists maintain that truth (...) is an insubstantive property, but it is not altogether clear what an insubstantive property is. Secondly, as deflationists maintain that truth does not play an explanatory role, it is incompatible with the position that truth can explain the normativity of truth talk. Given that deflationism faces these objections, it would be preferable if the success of inferentialism did not depend on the deflationist’s ability to respond to these objections. I argue that someone attracted to inferentialism for its ability to accommodate antirealist intuitions about a domain (e.g. morality) is not committed to deflationism about truth. More specifically, I will show that inferentialism combined with a straightforward account of inferentialist truth-conditions is compatible with a version of truth pluralism. I call this position Inferentialist Truth Pluralism. (shrink)

The critics in this volume raise several important challenges to the modal normativist position developed in Norms and Necessity, including whether the relation I claim holds between semantic rules and necessity claims generates spurious claims of metaphysical necessity, whether the view is circular (implicitly relying on a more 'robust' form of modal realism), and whether it conflicts with truth-conditional semantics. They also raise probing questions about how it compares to other views of modality, including a Lewisian view and an essentialist (...) view. In these replies, I respond to these challenges in ways that precisify the relevant understanding of ‘semantic rules' and the forms they can take, that make clearer the direction of explanation in modal normativism in ways that show the view doesn't rely on a more ‘robust’ form of modal realism, and that give reason for thinking that there is actually no conflict between modal normativism and truth-conditional semantics. I also aim to give a fuller assessment of how it compares to other approaches to modality, including an essentialist approach. (shrink)

Modality presents notorious philosophical problems, including the epistemic problem of how we could come to know modal facts and metaphysical problems about how to place modal facts in the natural world. These problems arise from thinking of modal claims as attempts to describe modal features of this world that explain what makes them true. Here I propose a different view of modal discourse in which talk about what is “metaphysically necessary” does not aim to describe modal features of the world, (...) but, rather, provides a particularly useful way of expressing constitutive semantic and conceptual rules in the object language. The result is a “modal normativist” view that enables us to avoid the epistemic problems of modality and mitigate the metaphysical worries, while also leaving open the possibility of a unified account of the function of modal language. Finally, I address a serious challenge: we have the norms we do in order to track the modal facts of the world, so that the order of explanation must go in the opposite direction. I close by showing how the normativist may answer that challenge. (shrink)

Talk of the functions of language or concepts plays a central role in developing an appealing pragmatic approach to conceptual engineering. But some have expressed skepticism that we can make any good sense of the idea of function as applied to concepts or language, or argued that the most we can say is that the function of ‘F’ is to refer to the Fs. In this paper, however, I argue that identifying linguistic functions is not hopeless, and that we can (...) make progress by working at the level of system functions, and drawing on work in systemic functional linguistics. For that enables us to develop a better framework for thinking about the functions that language serves, and the ways its subsystems contribute to those functions. This approach to understanding linguistic functions enables us to develop a pragmatic approach to conceptual engineering that provides standards for conceptual engineering without metaphysical mysteries. It also enables us to make progress in figuring out what functions certain philosophically interesting parts of language serve, and how they are introduced into language, in ways that may disentangle us from a range of old philosophical problems. (shrink)

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 discussions of the function of semantic vocabulary point to an (...) overlooked position regarding the relation between the concepts of meaning and truth. According to him, the function of meaning ascriptions cannot be explained independently of the function of truth ascriptions. That is because the function of meaning ascriptions essentially involves licensing claims about the world when combined with truth ascriptions. If he is right, this poses a challenge to deflationary accounts of the function of truth talk. (shrink)

This paper discusses the relation between Crispin Wright’s alethic pluralism and my global expressivism. I argue that on many topics Wright’s own view counts as expressivism in my sense, but that truth itself is a striking exception. Unlike me, Wright never seems to countenance an expressivist account of truth, though the materials needed are available to him in his approaches to other topics.

In recent work Allan Gibbard claims to be both a local quasi-realist, in Blackburn’s sense, and a global expressivist. His local quasi-realism rests on an argument that for naturalistic discourse but not ethical discourse, the semantic relation of denotation and the causal relation of tracking can and should be identified; that denoting simply is tracking, for naturalistic vocabulary. I argue that Gibbard’s case for this conclusion is unconvincing, and poorly motivated by his own expressivist standards. I also argue that even (...) if it were successful, it is doubtful whether the resulting position would count as global expressivism, as Gibbard and I both use that term. (shrink)

In order to develop his pragmatist and inferentialist framework, Robert Brandom appropriates, reconstructs and revises key themes in German Idealism such as the self-legislation of norms, the social institution of concepts and facts, a norm-oriented account of being and the critique of representationalist accounts of meaning and truth. However, these themes have an essential ethical dimension, one that Brandom has not explicitly acknowledged. For Hegel, the determination of norms and facts and the institution of normative statuses take place in the (...) context of Sittlichkeit (‘ethical life’). By engaging with some of the more ontologically and ethically substantive points raised by Hegel, I argue that, from a Hegelian perspective, Brandom’s project regarding the social determination of truth and meaning cannot be divorced from ethics, specifically, the ethical dimension of social recognition. Furthermore, I argue that, in real situations (as opposed to ideal ones), claims to normative authority cannot be considered independently from the legitimacy of those claims, a legitimacy that Brandom is unable to reasonably explain. Finally, I argue that a Hegelian solution to the problems facing Brandom’s framework calls into question the unity of reason that is at the core of Brandom’s normative pragmatics and inferential semantics. (shrink)

Functions play an important role in neo-pragmatism. This paper advances neo-pragmatism’s prospects by investigating how functions are to be understood on this account. It argues that prominent ways of understanding functions do not suit neo-pragmatists’ meta-semantic commitments or their preferred methodology. It then presents an account that fits both, based on Laura and François Schroeter’s theory of rationalizing self-interpretation. On this account, a term’s function is what it allows us to do that makes our tradition with the term rational.

There was a time when meta-ethical expressivism seemed to be the only game in town for meta-ethical non-representationalists. In recent years, though, meta-ethical inferentialism has emerged as a promising non-representationalist alternative. So far, however, inferentialists lack something that would really allow them to draw level with expressivists. This is an explanation for the distinctive difference between normative and descriptive vocabulary when it comes to disagreement—something expressivists can explain in terms of the difference between representational and desire-like states and which constitutes (...) one of the primary motivations for expressivism. This paper develops a novel and distinctive account for this difference on behalf of inferentialists, based on the different functions of these two vocabularies. Not only does this account help inferentialists, it also shows how non-representionalist accounts can capture the relevant disagreement phenomena without appealing to the sorts of desire-like states expressivists tend to appeal to. (shrink)

Traditional expressivists want to preserve a contrast between the representational use of declarative sentences in descriptive domains and the non-representational use of declarative sentences in other areas of discourse. However, expressivists have good reasons to endorse minimalism about representational notions, and minimalism seems to threaten the existence of such a bifurcation. Thus, there are pressures for expressivists to become global anti-representationalists. In this paper I discuss how to reconstruct in non-representationalist terms the sort of bifurcation traditional expressivists were after. My (...) proposal is that the relevant bifurcation can be articulated by appeal to the contrast between relativistic and non-relativistic assertoric practices. I argue that this contrast, which can be specified without appeal to representational notions, captures the core intuitions behind the expressivist bifurcation. (shrink)

Philosophy and Phenomenological Research, EarlyView.

Philosophy and Phenomenological Research, EarlyView.

After offering a characterization of what unites versions of ‘expressivism’, we highlight a number of dimensions along which expressivist views should be distinguished. We then separate four theses often associated with expressivism – a positive expressivist thesis, a positive constitutivist thesis, a negative ontological thesis, and a negative semantic thesis – and describe how traditional expressivists have attempted to incorporate them. We argue that expressivism in its traditional form may be fatally flawed, but that expressivists nonetheless have the resources for (...) preserving what is essential to their view. These resources comprise a re-configuring of expressivism, the result of which is the view we call ‘neo-expressivism’. After illustrating how the neo-expressivist model works in the case of avowals and ethical claims, we explain how it avoids the problems of traditional expressivism. (shrink)