Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

Variables is a project at the intersection of the philosophies of language and logic. Frege, in the Begriffsschrift, crystalized the modern notion of formal logic through the first fully successful characterization of the behaviour of quantifiers. In Variables, I suggest that the logical tradition we have inherited from Frege is importantly flawed, and that Frege's move from treating quantifiers as noun phrases bearing word-world connection to sentential operators in the guise of second-order predicates leaves us both philosophically and technically wanting.

This is a defence of the claim that names are predicates with a demonstrative element in their singular use.

In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...

am going to discuss some issues inspired by a well-known paper ofKeith Donnellan, "Reference and Definite Descriptions,”2 but the interest—to me—of the contrast mentioned in my title goes beyond Donnellan's paper: I think it is of considerable constructive as well as critical importance to the philosophy oflanguage. These applications, however, and even everything I might want to say relative to Donnellan’s paper, cannot be discussed in full here because of problems of length. Moreover, although I have a considerable interest in (...) the substantive issues raised by Donnellan’s paper, and by related literature, my own conclusions will be methodological, not substantive. I can put the matter this way: Donnellan’s paper claims to give decisive objections both to Russell’s theory of definite descriptions (taken as a theory about English) and to Strawson’s. My concem is not primarily with the question; is Donnellan right, or is Russell (or Strawson)? Rather, it is with the question: do the considerations in Donneilarfs paper refute Russell’s theory (or Strawson’s)? For definiteness, I will concentrate on Donnellan versus Russell, leaving Strawson aside. And about this issue I will draw a definite conclusion, one which I think will illuminate a few methodological maxims about language. Namely, I will conclude that the considerations in Donnellan’s paper, by themselves, do not refute Russell’s theory. Any conclusions about Russell’s views per se, or Donnellan’s, must be tentative, IfI were to be asked for a tentative stab about Russell, I would say that although his theory does a far better job of handling ordinary discourse than many have thought, and although many popular arguments against it are inconclusive, probably it ultimately fails. The considerations I have in mind have to do with the existence of “improper” definite descriptions, such as “the table," where uniquely specifying conditions are not contained in the description itself.. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

In this paper, we provide a comprehensive survey of the space of possible analyses of the phenomenon of quantifier domain restriction, together with a set of considerations which militate against all but our own proposal. Among the many accounts we consider and reject are the ‘explicit’ approach to quantifier domain restric‐tion discussed, for example, by Stephen Neale, and the pragmatic approach to quantifier domain restriction proposed by Kent Bach. Our hope is that the exhaustive discussion of this special case of (...) context‐dependence will provide guidelines for how to decide, for an arbitrary case of context‐dependent discourse, whether it should be treated syntactically, semantically, or pragmatically. (shrink)

Two semantic theories of proper names are explained and assessed. The theories are Burge’s treatment of proper names as complex demonstratives and Larson and Segal’s quasi-descriptivist account of names. The two theories are evaluated for empirical plausibility. Data from deficits, processing models, developmental studies and syntax are all discussed. It is concluded that neither theory is fully confirmed or refuted by the data, but that Larson and Segal’s theory has more empirical plausibility.

Words indicate concepts, which have various adicities. But words do not, in general, inherit the adicities of the indicated concepts. Lots of evidence suggests that when a concept is lexicalized, it is linked to an analytically related monadic concept that can be conjoined with others. For example, the dyadic concept CHASE(_,_) might be linked to CHASE(_), a concept that applies to certain events. Drawing on a wide range of extant work, and familiar facts, I argue that the (open class) lexical (...) items of a natural spoken language include neither names nor polyadic predicates. The paper ends with some speculations about the value of a language faculty that would impose uniform monadic analyses on all concepts, including the singular and relational concepts that we share with other animals. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

Along with many other languages, English has a relatively straightforward grammatical distinction between mass-occurrences of nouns and their countoccurrences. As the mass-count distinction, in my view, is best drawn between occurrences of expressions, rather than expressions themselves, it becomes important that there be some rule-governed way of classifying a given noun-occurrence into mass or count. The project of classifying noun-occurrences is the topic of Section II of this paper. Section III, the remainder of the paper, concerns the semantic differences between (...) nouns in their mass-occurrences and those in their count-occurrences. As both the name view and the mixed view are, in my opinion, subject to serious difficulties discussed in Section III.1,I defend a version of the predicate view. Traditionally, nouns in their singular count-occurrences are also analyzed as playing the semantic role of a predicate. How, then, does the predicate view preserve the intuitive difference between nouns in their mass- and those in their count-occurrences? I suggest, in Section III.2, that there are different kinds of predicates: mass-predicates, e.g. ‘is hair’, singular count-predicates, e.g. ‘is a hair’, and plural count-predicates, e.g. ‘are hairs’. Mass-predicates and count-predicates, in my view, are not reducible to each other. The remainder of Section III takes a closer look at the differences and interrelations between these different kinds of predicates. Mass-predicates and count-predicates differ from each other truth-conditionally, and these truth-conditional differences turn out to have interesting implications, in particular concerning the part-whole relation and our practices of counting. But mass- and count-predicates are also related to each other through systematic entailment relations; these entailment relations are examined in Section III.4. (shrink)

Definite descriptions, I shall argue, have two possible functions. 1] They are used to refer to what a speaker wishes to talk about, but they are also used quite differently. Moreover, a definite description occurring in one and the same sentence may, on different occasions of its use, function in either way. The failure to deal with this duality of function obscures the genuine referring use of definite descriptions. The best known theories of definite descriptions, those of Russell and Strawson, (...) I shall suggest, are both guilty of this. Before discussing this distinction in use, I will mention some features of these theories to which it is especially relevant. (shrink)

The traditional puzzles about belief reports puzzles rest on a certain seemingly innocuous assumption, that 'that'-clauses specify belief contents. The main theories of belief reports also rest on this "Specification Assumption", that for a belief report of the form 'A believes that p' to be true,' the proposition that p must be among the things A believes. I use Kripke's Paderewski case to call the Specification Assumption into question. Giving up that assumption offers prospects for an intuitively more plausible approach (...) to the semantics of belief reports. But this approach must confront a puzzle of its own: it turns out that every case is a Paderewski case, at least potentially. (shrink)

am going to discuss some issues inspired by a well-known paper ofKeith Donnellan, "Reference and Definite Descriptions,”2 but the interest—to me—of the contrast mentioned in my title goes beyond Donnellan's paper: I think it is of considerable constructive as well as critical importance to the philosophy oflanguage. These applications, however, and even everything I might want to say relative to Donnellan’s paper, cannot be discussed in full here because of problems of length. Moreover, although I have a considerable interest in (...) the substantive issues raised by Donnellan’s paper, and by related literature, my own conclusions will be methodological, not substantive. I can put the matter this way: Donnellan’s paper claims to give decisive objections both to Russell’s theory of definite descriptions (taken as a theory about English) and to Strawson’s. My concem is not primarily with the question; is Donnellan right, or is Russell (or Strawson)? Rather, it is with the question: do the considerations in Donneilarfs paper refute Russell’s theory (or Strawson’s)? For definiteness, I will concentrate on Donnellan versus Russell, leaving Strawson aside. And about this issue I will draw a definite conclusion, one which I think will illuminate a few methodological maxims about language. Namely, I will conclude that the considerations in Donnellan’s paper, by themselves, do not refute Russell’s theory. Any conclusions about Russell’s views per se, or Donnellan’s, must be tentative, IfI were to be asked for a tentative stab about Russell, I would say that although his theory does a far better job of handling ordinary discourse than many have thought, and although many popular arguments against it are inconclusive, probably it ultimately fails. The considerations I have in mind have to do with the existence of “improper” definite descriptions, such as “the table," where uniquely specifying conditions are not contained in the description itself.. (shrink)

In Situations and Individuals, Paul Elbourne argues that the natural language expressions that have been taken to refer to individuals — pronouns, proper names, and definite descriptions — have a common syntax and semantics, roughly that of definite descriptions as construed in the tradition of Frege. In the course of his argument, Elbourne shows that proper names have previously undetected donkey anaphoric readings.This is contrary to previous theorizing and, if true, would undermine what philosophers call the direct reference theory (which (...) holds that the sole contribution of a proper name to the truth conditions of a sentence is an individual) as well as the related doctrine that proper names are rigid designators. Elbourne begins by addressing donkey anaphora, relating other concerns about pronouns to the solution of this notorious problem. His subsequent argumentation provides a unified semantics for the donkey anaphoric and bound and referential uses of pronouns and discusses the prospect of unifying the syntax and semantics of pronouns with the syntax and semantics of normal definite descriptions. Elbourne's aim is not only to advance his proposal of a unified syntax and semantics but also to urge linguists and philosophers dealing with pronoun interpretation to consider a wider range of theories than they do at present, and to test the competing claims of description-based theories and dynamic semantics against the data. (shrink)

This paper is a counter to the view that names are always predicates with the same extension as a metalinguistic predicate with the form “is a thing called “N”” (the Predicate View). The Predicate View is in opposition to the Referential View of names. In this paper, I undermine one argument for the Predicate View. The Predicate View’s adherents take examples of uses of names that have the surface appearance of a predicate and generalise from these to treat uses of (...) names that do not have the surface appearance of a predicate. They show that the Predicate View can provide a unified account of these two uses and assume that the Referential account cannot. I propose an alternative view of names, the Polysemy View. This view allows one to resist the pressure to generalise from the cases with the surface appearance of predicates to all uses of names while nevertheless providing connections between the uses. On the Polysemy View names are not, in their core use, metalinguistic predicates. Names are predominantly referring expressions but they also freelance as metalinguistic predicates on occasion. They have a double life. This double life is possible because of the pragmatic and conventional connections between the two aspects of that life. My main aim in this paper is to show that the Predicate View is not the only view that can give a good account of apparently predicative uses of names. In addition, I offer some inconclusive reasons to prefer the Polysemy View over the Predicate View. My paper assumes a background framework that the Predicate and Referentialist Views share and I do not attempt to justify that framework. I ignore many other views of names (notably descriptivist views and relevance theoretic views) in order to focus on the debate between these two opponents. (shrink)

The predicate view on proper names opts for a uniform semantic representation of proper nouns like ‘Alfred’ as predicates on the level of logical form. Early defences of this view can be found in Sloat (Language, vol. 45, pp. 26–30, 1969) and Burge (J. Philos. 70: 425–439, 1973), but there is an increasing more recent interest in this view on proper names. My paper aims to provide a reconstruction and critique of Burge’s main argument for the predicate view on proper (...) names, which is still used by several current philosophers in defence of this view. I have called this argument the unification argument. I will present a stepwise interpretation and reconstruction of this argument, consider several possible responses to it and defend a specific response to it in detail. (shrink)

In this paper I argue that names are predicates when they occur in the appellation position of 'called'-predications. This includes not only proper names, but all names -- including quote-names of proper names and quote-names of other words or phrases. Thus in "You can call me Al", the proper name 'Al' is a predicate. And in "You can call me 'Al'," the quote-name of 'Al' -- namely ' 'Al' ' -- is also a predicate.

INTRODUCTION MATHEMATICAL logic differs from the traditional formal logic so markedly in method, and so far surpasses it in power and subtlety, ...

While proper names in argument positions have received a lot of attention, this cannot be said about proper names in the naming construction, as in “Call me Al”. I argue that in a number of more or less familiar languages the syntax of naming constructions is such that proper names there have to be analyzed as predicates, whose content mentions the name itself (cf. “quotation theories”). If proper names can enter syntax as predicates, then in argument positions they should have (...) a complex structure, consisting of a determiner and its restriction, like common nouns (cf. “definite description theories of proper names”). Further consideration of the compositional semantics of proper names in the naming construction also shows that they have another argument slot, that of the naming convention. As a result, we will be able to account for the indexicality of proper names in argument positions and provide compositional semantics of complex and modified proper names (e.g., the famous detective Sherlock Holmes ). (shrink)

Presenting a novel account of singular thought, a systematic application of recent work in the theory of speech acts, and a partial revival of Russell's analysis of singular terms, this book takes an original approach to the perennial problems of reference and singular terms by separating the underlying issues into different levels of analysis.

The proposition expressed by an utterance of a quantified sentence depends on a domain of discourse somehow determined by the context. How does the context of utterance determine the content of the domain of discourse? Many philosophers would approach this question from the point of view of an expressive theory of linguistic communication, according to which the primary function of language is to enable speakers to convey the propositional contents of their thoughts to hearers. This paper argues that from this (...) point of view there is no persuasive treatment of the determinants of the domain of discourse. The argument focuses on an abnormal case in which the domain the speaker has in mind is not evident to the hearer. In this way the question concerning the determinants of the domain of discourse is used to challenge the expressive theory of communication. (shrink)

Even though it’s based on a bad argument, there’s something to Strawson’s dictum. He might have likened ‘referring expression’ to phrases like ‘eating utensil’ and ‘dining room’: just as utensils don’t eat and dining rooms don’t dine, so, he might have argued, expressions don’t refer. Actually, that wasn’t his argument, though it does make you wonder. Rather, Strawson exploited the fact that almost any referring expression, whether an indexical, demonstrative, proper name, or definite description, can be used to refer to (...) different things in different contexts. This fact, he argued, is enough to show that what refers are speakers, not expressions. Here he didn’t take seriously the perfectly coherent view that an expression’s reference can vary with context. So, he concluded, what varies from context to context is not what a given expression refers to but what a speaker uses it to refer to. Strawson went on to suggest that there are several dimensions of difference between various sorts of referring expressions: degree of dependence on context, degree of “descriptive meaning,” and being governed by a general convention vs. an expressionspecific one. But despite these differences, he insisted that regardless of kind, referring expressions don’t themselves refer — speakers use them to refer. (shrink)

This is an attempt at reviving Kneale's version of the description theory of names, which says that a proper name is synonymous with a definite description of the form ‘the individual named so-and-so’. To begin with, I adduce a wide range of observations to show that names and overt definites are alike in all relevant respects. I then turn to Kripke's main objection against Kneale's proposal, and endeavour to refute it. In the remainder of the paper I elaborate on Kneale's (...) analysis, adopting a theory of presupposition proposed by van der Sandt. (shrink)

Variabilism is the view that proper names (like pronouns) are semantically represented as variables. Referential names, like referential pronouns, are assigned their referents by a contextual variable assignment (Kaplan 1989). The reference parameter (like the world of evaluation) may also be shifted by operators in the representation language. Indeed verbs that create hyperintensional contexts, like ‘think’, are treated as operators that simultaneously shift the world and assignment parameters. By contrast, metaphysical modal operators shift the world of assessment only. Names, being (...) variables, refer rigidly in the latter merely intensional contexts, but may vary their reference in hyperintensional contexts. This conforms to the intuition that the content of attitude ascriptions encapsulates referential uncertainty. Furthermore, names in hyperintensional contexts are ambiguous between de re* and de dicto* interpretations. This fact is used to account for asymmetric mistaken identity attributions (for example, Biron thinks Katherine is Rosaline, but he doesn’t think Rosaline is Katherine). -/- The variable theory compares favourably with its alternatives, including Millianism and descriptivism. Millians cannot account for the behaviour of names in hyperintensional contexts, while descriptivists cannot generate a necessary contrast between intensional and hyperintensional contexts. No other theory can capture the facts pertaining to the existentially bound use of names. (shrink)

When philosophers talk about descriptions, usually they have in mind singular definite descriptions such as ‘the finest Greek poet’ or ‘the positive square root of nine’, phrases formed with the definite article ‘the’. English also contains indefinite descriptions such as ‘a fine Greek poet’ or ‘a square root of nine’, phrases formed with the indefinite article ‘a’ (or ‘an’); and demonstrative descriptions (also known as complex demonstratives) such as ‘this Greek poet’ and ‘that tall woman’, formed with the demonstrative articles (...) ‘this’ and ‘that’. Following the custom in philosophy, in this chapter often we use ‘description’ as short for ‘definite description’; and following the custom in linguistics, often we use ‘definite’, ‘indefinite’, and ‘demonstrative’ as shorthand nouns. For the most part we focus on definite and indefinites, although a few words about demonstratives are called for. At the centre of debates about descriptions is the matter of whether they are devices of reference or of predication (simple or higher-order), and much discussion focuses on how various proposals are to be incorporated into broader theories of the semantics of natural language. But philosophical interest goes beyond the confines of linguistics, logic, and the philosophy of language because choices made about the semantics of descriptions have repercussions elsewhere, particularly in epistemology and metaphysics. A simple match of form and meaning appears to fail.1 First, many occurrences of expressions of both forms ‘the φ’ and ‘a φ’ appear to be used to talk about particular individuals. Consider (1). (shrink)

Proper names seem simple on the surface. Indeed, anyone unfamiliar with philosophical debates about them might wonder what the fuss could possibly be about. It seems obvious why we need them and what we do with them, and that is to talk about particular persons, places, and things. You don't have to be as smart as Mill to think that proper names are simply tags attached to individuals. But sometimes appearances are deceiving.