One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes to the explanatory power of science by expressing conceptual rules, rules which allow the transformation of empirical descriptions. Mathematics should not be thought of as describing, in any substantive sense, (...) an abstract realm of eternal mathematical objects, as traditional platonists have thought. In Rules to Infinity, this view, which I call mathematical normativism, is updated with contemporary philosophical tools, and it is argued that normativism is compatible with mainstream semantic theory. This allows the normativist to accept that there are mathematical truths, while resisting the platonistic idea that there exist abstract mathematical objects that explain such truths. Furthermore, Rules to Infinity defends a particular account of the distinction between scientific explanations that are in some sense distinctively mathematical – those that explain natural phenomena in some uniquely mathematical way – and those that are only standardly mathematical, and it lays out desiderata for any account of this distinction. Normativism is compared with other prominent views in the philosophy of mathematics such as neo-Fregeanism, fictionalism, conventionalism, and structuralism. Rules to Infinity serves as an entry point into debates at the forefront of philosophy of science and mathematics, and it defends novel positions in these debates. (shrink)

An object-based correspondence theory of truth holds that a truth-bearer is true whenever its truth conditions are met by objects and their properties. In order to develop such a view, the principal task is to explain how truth-bearers become endowed with their truth conditions. Modern versions of the correspondence theory see this project as the synthesis of two theoretical endeavours: basic metasemantics and compositional semantics. Basic metasemantics is the theory of how simple, meaningful items (e.g. names and concepts) are endowed (...) with their contributions to truth conditions, and compositional semantics is the theory of how the meanings of simple items compose to generate (among other things) the truth conditions of sentences. Understanding truth along these broad lines was once popular; it was first championed by Field (1972). However, the once-popular conception of its tasks included an over-ambitious view of basic metasemantics. It was thought that reference needed to be analyzed (or reduced a posteriori) in terms of more fundamental, non-semantic relations (e.g. causal relations, indication, or teleological relations, in the case of mental representation). Obstacles in providing such an analysis engendered skepticism towards this understanding of truth and eventually gave way to its deflationary competitors. This dissertation aims to defend the modern, object-based correspondence theory against its rivals—especially deflationism. Chapter one provides a historically-grounded overview of the theory. Chapter two identifies two points of contrast between the correspondence theorist and the deflationist: they employ different orders of explanation for the variety of semantic phenomena, and they (traditionally) take different attitudes towards the prospects of reduction. Situating the dialectic in this way allows me to develop a middle ground: a moderate version of inflationism that takes the inflationary explanatory structure and combines it with a non-reductive, pluralist approach to basic metasemantics. Chapter three expands on the details of this pluralist account of reference. Chapter four contrasts the view with another rival approach to basic metasemantics: metasemantic interpretationism. And finally, chapter five applies the theory to answer another question of broad philosophical interest: what role does our conception of truth play in inquiry about the world? (shrink)

Moral expressivists think that moral thoughts and sentences don’t represent or describe the world, at least not in any interesting sense. Global expressivists think that _no_ thoughts or sentences represent the world; local expressivists think that some do and others don’t. Huw Price has influentially argued that local expressivism collapses into global expressivism, due both to the effects of minimalist theories of representation and similar concepts, and to an unappreciated consequence of the success of specific expressivist theories like moral expressivism. (...) In this paper I argue that Price’s arguments don’t succeed. While they can be fixed, doing so makes them miss their intended target. Local expressivists should therefore not be worried by Price’s arguments. (shrink)

Deflationism about truth, what is often simply called “deflationism”, is really not so much a theory of truth in the traditional sense, as it is a different, newer sort of approach to the topic. Traditional theories of truth are part of a philosophical debate about the nature of a supposed property of truth. Philosophers offering such theories often make suggestions like the following: truth consists in correspondence to the facts; truth consists in coherence with a set of beliefs or propositions; (...) truth is what is acceptable in the ideal limit of inquiry. According to deflationists, such suggestions are mistaken, and, moreover, they all share a common mistake. The common mistake is to assume that truth has a nature of the kind that philosophers might find out about and develop theories of. The main idea of the deflationary approach is (a) that all that can be significantly said about truth is exhausted by an account of the role of the expression ‘true’ or of the concept of truth in our talk and thought, and (b) that, by contrast with what traditional views assume, this role is neither metaphysically substantive nor explanatory. For example, according to deflationary accounts, to say that ‘snow is white’ is true, or that it is true that snow is white, is in some sense strongly equivalent to saying simply that snow is white, and this, according to the deflationary approach, is all that can be said significantly about the truth of ‘snow is white’. Philosophers looking for some underlying nature of some truth property that is attributed with the use of the expression ‘true’ are bound to be frustrated, the deflationist says, because they are looking for something that isn’t there. Deflationism comprises a variety of different versions, each of which have gone by different names, including at least the following: disquotationalism, minimalism, prosententialism, the redundancy theory, the disappearance theory, the no-truth theory. There has not always been terminological consensus in the literature about how to use these labels: sometimes they have been used interchangeably; sometimes they have been used to mark distinctions between different developments of the same general approach. The actual variety of deflationary views has not always been clear in discussions of this approach, especially in the earlier literature, where important differences are occasionally missed. To help clear this up, we will use ‘deflationism’ to denote the general approach we want to discuss and reserve other names for specific versions of that approach. (shrink)

Methodological deflationism is a policy about how we should conduct ourselves when it comes to theories of truth: in particular, a deflationary theory of truth should be taken as one’s starting point, and the notion of truth should be inflated only as necessary. This policy is motivated, in part, by the need to balance the theoretical virtue of parsimony with that of explanatory sufficiency. In this article, the case is made that the methodological deflationist is in no position to properly (...) balance those virtues—a point made evident by tracing the relationship between semantic theories and the explanatory needs of theories of truth. Furthermore, methodological deflationism threatens to unduly influence semantic theorizing and, in doing so, displays an inappropriate bias towards deflationary theories of truth. (shrink)

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 than it may appear. Non-oblique truth-conditionalists, I argue, must renounce (...) a priori entitlement to schemas of disquotation that are presupposed when theories of content are put to metaphysical or epistemological use. As case studies, I discuss two theories that might seem to exemplify non-oblique truth-conditionalism: David Chalmers’s two-dimensionalist theory of content and Ruth Millikan’s teleosemantics. (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)

A core commitment of meta-ethical expressivism is that ordinary descriptive judgements are representational states, while normative judgements are non-representational directive states. Traditionally, this commitment has been understood as a psychological thesis about the nature of normative judgements, as the view that normative judgements consist in certain sorts of conative propositional attitudes. This paper’s aim is to challenge this reading and to show that changing our view on how this commitment is to be understood opens up space for attractive forms of (...) expressivism. The paper argues this by example: by presenting one of the possible expressivist views that can be developed on this reading and by arguing that this view has distinctive advantages over forms of expressivism that endorse the traditional interpretation of expressivism. (shrink)