Michael Glanzberg

Current theories of context see context as composed of information that is localizable to individual utterances. Current theories of discourse grant that discourses have important global properties that are not so localizable. In this paper, I argue that context, even narrowly construed as whatever combines with a sentence to determine truth conditions, must have a discourse -global component. I identify a context-dependence phenomenon related to the linguistic concepts of topic and focus, isolate the pertinent feature of context, and show that this feature must be discourse -global in nature. I thus argue that context is as complicated as an entire discourse

This paper argues that relativity of truth to a world plays no significant role in empirical semantic theory, even as it is done in the model-theoretic tradition relying on intensional type theory. Some philosophical views of content provide an important notion of truth at a world, but they do not constrain the empirical domain of semantic theory in a way that makes this notion empirically significant. As an application of this conclusion, this paper shows that a potential motivation for relativism based on the relativity of truth to a world fails.

Quantified terms are terms of generality. They are also provide some of our prime examples of the phenomenon of scope. The distinction between singular and general terms, as well as the ways that general terms enter into scope relations, are certainly fundamental to our understanding of language. Yet when we turn to natural language, we encounter a huge and apparently messy collection of general terms; not just every and some, but most, few, between five and ten, and many others. Natural-language sentences also display a complex range of scope phenomena; unlike first-order logic, which clearly and simply demarcates scope in its notation.

This paper argues against minimalism about truth. It does so by way of a comparison of the theory of truth with the theory of sets, and consideration of where paradoxes may arise in each. The paper proceeds by asking two seemingly unrelated questions. First, what is the theory of truth about? Answering this question shows that minimalism bears important similarities to naive set theory. Second, why is there no strengthened version of Russell's paradox, as there is a strengthened Liar paradox? Answering this question shows that like naive set theory, minimalism is unable to make adequate progress in resolving the paradoxes, and must be replaced by a drastically different sort of theory. Such a theory, it is shown, must be fundamentally non-minimalist.

This paper argues against relativism, focusing on relativism based on the semantics of predicates of personal taste. It presents and defends a contextualist semantics for these predicates, derived from current work on gradable adjectives. It then considers metasemantic questions about the kinds of contextual parameters this semantics requires. It argues they are not metasemantically different from those in other gradable adjectives, and that contextual parameters of this sort are widespread in natural language. Furthermore, this paper shows that if such parameters are rejected, it leads to an unacceptably rampant form of relativism, that relativizes truth to an open-ended list of parameters.

A common objection to hierarchical approaches to truth is that they fragment the concept of truth. This paper defends hierarchical approaches in general against the objection of fragmentation. It argues that the fragmentation required is familiar and unprob-lematic, via a comparison with mathematical proof. Furthermore, it offers an explanation of the source and nature of the fragmentation of truth. Fragmentation arises because the concept exhibits a kind of failure of closure under reflection. This paper offers a more precise characterization of the reflection involved, first in the setting of formal theories of truth, and then in a more general setting.

This paper argues for the thesis that, roughly put, it is impossible to talk about absolutely everything. To put the thesis more precisely, there is a particular sense in which, as a matter of semantics, quantifiers always range over domains that are in principle extensible, and so cannot count as really being ‘absolutely everything’. The paper presents an argument for this thesis, and considers some important objections to the argument and to the formulation of the thesis. The paper also offers an assessment of just how implausible the thesis really is. It argues that the intuitions against the thesis come down to a few special cases, which can be given special treatment. Finally, the paper considers some metaphysical ideas that might surround the thesis. Particularly, it might be maintained that an important variety of realism is incompatible with the thesis. The paper argues that this is not the case.

A great deal of discussion in recent philosophy of language has centered on the idea that there might be hidden contextual parameters in our sentences. But relatively little attention has been paid to what those parameters themselves are like, beyond the assumption that they behave more or less like variables do in logic. My goal in this paper is to show this has been a mistake. I shall argue there are at least two very different sorts of contextual parameters. One is indeed basically like variables in logic, but the other is very different, and much more like overt referring expressions. This result is of interest in its own right, to those of us who are concerned to map out the details of the semantic and pragmatic workings of language. But it will have some wider morals as well. One of the important issues behind the debate over hidden parameters has been how we can posit hidden structure in language, and how far such structure can stray from the intuitive forms and contents speakers see in communication. I shall argue that one sort of hidden parameter is surprisingly close to the contents and forms speakers find intuitive, while another is more remote. I shall show that the..

In Logical Properties, Colin McGinn offers a new theory of truth, which he describes as “thick disquotationalism.” In keeping with wider theme of the book, truth emerges as conceptually primitive. Echoing Moore, it is simple and unanalyzable. Though truth cannot be analyzed, in the sense of giving a conceptual decomposition, McGinn argues that truth can be defined. A non-circular statement of its application conditions can be given. This makes truth a singularly remarkable property. Indeed, by McGinn’s lights, it is the only property which enjoys being both unanalyzable and definable.

Current theories of context see context as composed of information that is localizable to individual utterances. Current theories of discourse grant that discourses have important global properties that are not so localizable. In this paper, I argue that context, even narrowly construed as whatever combines with a sentence to determine truth conditions, must have a discourse–global component. I identify a context–dependence phenomenon related to the linguistic concepts of topic and focus, isolate the pertinent feature of context, and show that this feature must be discourse–global in nature. I thus argue that context is as complicated as an entire discourse.

The study of quantification in natural language has made remarkable progress. Quantification in natural language has been investigated extensively by philosophers, logicians, and linguists. The result has been an elegant and far-reaching theory. This article presents a survey of some of the important components of this theory. The first section presents the core of the theory of generalized quantifiers. This theory explores the range of expressions of generality in natural language, and studies some of their logical properties. The second section turns to issues of how quantifiers enter into scope relations. Here there is less unanimity than in the theory of generalized quantifiers. Two basic approaches, representative of the main theories in the literature, are sketched and compared. The final section turns briefly to the general question of what a quantifier is.

This paper explores how words relate to concepts. It argues that in many cases, words get their meanings in part by associating with concepts, but only in conjunction with substantial input from language. Language packages concepts in grammatically determined ways. This structures the meanings of words, and determines which sorts of concepts map to words. The results are linguistically modulated meanings, and the extralinguistic concepts associated with words are often not what intuitively would be expected. The paper concludes by discussing implications of this thesis for the relation of word to sentence meaning, and for issues of linguistic determinism.

This is a collection of eighteen solicited papers on the topics of the title: circularity, definition, and truth. The papers are loosely connected in subject matter, but present a great variety of issues, theories, and approaches. Amongst the many subjects discussed are: the revision theory of truth and applications of revision rules, partiality and fixed point constructions, substitutional quantification, fuzzy logic, negation, belief revision, context dependence, hierarchies, Tarski on truth, deflationism, correspondence theories of truth, and normative aspects of truth. The Liar paradox figures prominently in this collection, but is not alone. Other familiar paradoxes are also discussed, including paradoxes of definability, the Sorites paradox, and the Surprise Exam paradox. So-called paradoxes of rationality, such as the Prisoner’s Dilemma, receive attention as well.

This paper presents an approach to truth and the Liar paradox which combines elements of context dependence and hierarchy. This approach is developed formally, using the techniques of model theory in admissible sets. Special attention is paid to showing how starting with some ideas about context drawn from linguistics and philosophy of language, we can see the Liar sentence to be context dependent. Once this context dependence is properly understood, it is argued, a hierarchical structure emerges which is neither ad hoc nor unnatural

The Taming of the True continues the project Neil Tennant began in Anti-realism and Logic of investigating and defending anti-realism. Tennant’s earlier book anticipated a second volume, in which issues related to empirical discourse would be addressed in greater detail. The Taming of the True provides this sequel. It also attempts a ground-clearing project, by addressing challenges to some of the presuppositions and implications of Tennant’s anti-realist position. Finally, it takes an opportunity to revisit some of the issues examined in the earlier book, in light of the evolving debate over realism and anti-realism.

This paper argues for the thesis that, roughly put, it is impossible to talk about absolutely everything. To put the thesis more precisely, there is a particular sense in which, as a matter of semantics, quantifiers always range over domains that are in principle extensible, and so cannot count as really being ‘absolutely everything’. The paper presents an argument for this thesis, and considers some important objections to the argument and to the formulation of the thesis. The paper also offers an assessment of just how implausible the thesis really is. It argues that the intuitions against the thesis come down to a few special cases, which can be given special treatment. Finally, the paper considers some metaphysical ideas that might surround the thesis. Particularly, it might be maintained that an important variety of realism is incompatible with the thesis. The paper argues that this is not the case.

A great deal of discussion in recent philosophy of language has centered on the idea that there might be hidden contextual parameters in our sentences. But relatively little attention has been paid to what those parameters themselves are like, beyond the assumption that they behave more or less like variables do in logic. My goal in this paper is to show this has been a mistake. I argue there are at least two very different sorts of contextual parameters. One is indeed basically like variables in logic, but the other is very different, and much more like overt referring expressions. Most of this paper is an in-depth study of an example where we see both classes of contextual parameters at work: the case of predicates of personal taste. I claim they have standard parameter, like all gradable predicates, which behaves much as a variable does. But I also claim they have an experiencer parameter, which behaves strikingly like an overt referring expression, syntactically, semantically, and pragmatically. I show that the different properties of these two classes of parameters are reflected in different sorts of evidence we can bring to bear in showing their existence, and in different ways they interact with the contents speakers intuitively seek to convey with their utterances

About twenty-five years ago, Charles Parsons published a paper that began by asking why we still discuss the Liar Paradox. Today, the question seems all the more apt. In the ensuing years we have seen not only Parsons’ work (1974), but seminal work of Saul Kripke (1975), and a huge number of other important papers. Too many to list. Surely, one of them must have solved it! In a way, most of them have. Most papers on the Liar Paradox offer some explanation of the behavior of paradoxical sentences, and most also offer some extension for the predicate ‘true’ that they think is adequate, at least in some restricted setting. But if this is a solution, then the problem we face is far from a lack of solutions; rather, we have an overabundance of conflicting ones. Kripke’s work alone provides us with uncountably many different extensions for the truth predicate. Even if it so happens that one of these is a conclusive solution, we do not seem to know which one, or why. We should also ask, given that we are faced with many technically elegant but contradictory views, if they are really all addressing the same problem. What we lack is not solutions, but a way to compare and evaluate the many ones we have.

In this paper, I shall explore a determiner in natural language which is ambivalent as to whether it should be classified as quantificational or objectdenoting: the determiner both. Both in many ways appears to be a paradigmatic quantifier; and yet, I shall argue, it can be interpreted as having an individual—an object—as semantic value. To show the significance of this, I shall discuss two ways of thinking about quantifiers. We often think about quantifiers via intuitions about kinds of thoughts. Certain terms are naturally used to express singular thoughts, and appear to do so by contributing objects to the thoughts expressed. Other terms are naturally used to express general thoughts, and appear to do so by contributing higher-order properties to the thoughts expressed. Viewed this way, the main condition on whether a term is a quantifier or not is whether its semantic value is an object or a higher-order property. At least, these provide necessary conditions. Both can be interpreted as contributing objects to thoughts, and in many cases appears to express genuine singular thoughts. Thinking about quantifiers this way, both can appear object-denoting and non-quantificational. We also often think about quantifiers in terms of a range linguistic features, including semantic value, presupposition, scope, binding, syntactic distribution, and many others. Viewed this way, I shall argue, both can appear quantificational. In particular, it displays scope behavior that is one of the hallmarks of quantification. But, I shall show, it can do so even if given a semantics on which it denotes an object. Thus, both appears quantificational by some linguistic standards, and yet appears object-denoting by standards based on intuitions about the kinds..

This paper reexamines some examples, discussed by Mates and others, of sentences containing both definite descriptions and quantifiers. It has frequently been claimed that these sentences provide evidence for the view that definite descriptions themselves are quantifiers. The main goal of this paper is to argue this is not so. Though the examples are compatible with quantificational approaches to definite descriptions, they are also compatible with views that treat definite descriptions as basically scopeless. They thus provide no reason to see definite descriptions as quantifiers. Even so, this paper shows that the examples do raise a surprising range of complex issues about how quantifier scope works, and where it occurs. Thus, a clear picture of how these examples work will help us to understand better where definite descriptions fit into the larger picture of quantifiers and related phenomena.

∗Thanks to J. C. Beall, Alex Byrne, Jason Decker, Tyler Doggett, Paul Elbourne, Adam Elga, Warren Goldfarb, Delia Graff, Richard Heck, Charles Parsons, Mark Richard, Susanna Siegel, Jason Stanley, Judith Thomson, Carol Voeller, Brian Weatherson, Ralph Wedgwood, Steve Yablo, Cheryl Zoll, and an anonymous referee for valuable comments and discussions. Versions of this material were presented in my seminar at MIT in the Fall of 2000, and at the University of Maryland, Baltimore County. Parts of this paper also derive from my comments on a paper of Scott Soames at the ‘Liars and Heaps’ conference at the University of Connecticut in the Fall of 2002. I am grateful for the help of these audiences, and especially to Prof. Soames.

The Taming of the True continues the project Neil Tennant began in Anti-realism and Logic of investigating and defending anti-realism. Tennant’s earlier book anticipated a second volume, in which issues related to empirical discourse would be addressed in greater detail. The Taming of the True provides this sequel. It also attempts a ground-clearing project, by addressing challenges to some of the presuppositions and implications of Tennant’s anti-realist position. Finally, it takes an opportunity to revisit some of the issues examined in the earlier book, in light of the evolving debate over realism and anti-realism.

The discussion of supervenience is replete with the use of in?nitary logical operations. For instance, one may often ?nd a supervenient property that corresponds to an in?nite collection of supervenience-base properties, and then ask about the in?nite disjunction of all those base properties. This is crucial to a well-known argument of Kim (1984) that supervenience comes nearer to reduction than many non-reductive physicalists suppose. It also appears in recent discussions such as Jackson (1998).