Many characterizations of definiteness in natural language have been given. However a number of them converge on a single idea involving uniqueness of applicability of a property. This paper will attempt to do two things. One is to try to unify some of these current views of definiteness, seeing them as drawing out Gricean conversational implicatures of the uniqueness concept, and the other is to try a more articulated approach to dealing with some recalcitrant counterexamples. I will focus primarily, but (...) not entirely, on definite descriptions in English. (shrink)

As is well known, Russell assigned indefinite and definite descriptions the interpretations represented schematically in (1) and (2) respectively, where “CNP” stands for “Common Noun Phrase” in the sense used by Montague (1973) – i.e. as standing for the constituent which a determiner combines with to form a noun phrase (NP). (1) a. …a/an CNP….

This is a welcome opportunity to clarify my approach to referential uses of definite descriptions, as well as to highlight what I take to be the main shortcomings of the view that definite descriptions have referential meanings. Michael Devitt and I have previously debated referential uses in the course of stating our respective views (see our 2004 articles), but here in this issue we both aim to dispel certain misunderstandings and to sharpen our criticisms of the other’s views.1 Devitt recognizes (...) that it was not enough to target the view that referential uses are akin to particularized conversational implicatures. So now he focuses on the view that they are akin to generalized conversational implicatures (GCIs). He argues that although in principle the GGI model could explain referential uses, it does not in fact provide the best explanation of them. He insists that the fact that definite descriptions are standardized for being used referentially is best explained on the supposition that, as a matter of semantic convention, they have referential meanings, in addition to the quantificational meanings given by Russell’s theory of descriptions. He acknowledges that this commits him to the view that the word ‘the’ is semantically ambiguous. Accordingly, recognizing a use as referential (or as attributive, for that matter) is not like recognizing a GCI but is more akin to, indeed is a case of, disambiguation. Devitt devotes a good part of his article to rebutting my account of referential uses. He challenges the GCI model and identifies a number of difficulties with my view, which he construes as based on that model. However, my account does not rely on that model. I do say that referential uses are “akin” to GCIs, but I did not mean that they are, or involve, GCI. All I meant was that they too are cases of standardized uses, as opposed to.. (shrink)

ABSTRACT: This paper discusses ancient versions of paradoxes today classified as paradoxes of presupposition and how their ancient solutions compare with contemporary ones. Sections 1-4 air ancient evidence for the Fallacy of Complex Question and suggested solutions, introduce the Horn Paradox, consider its authorship and contemporary solutions. Section 5 reconstructs the Stoic solution, suggesting the Stoics produced a Russellian-type solution based on a hidden scope ambiguity of negation. The difference to Russell’s explanation of definite descriptions is that in the Horn (...) Paradox the Stoics uncovered a hidden conjunction rather than a hidden existential sentence. Sections 6 and 7 investigate hidden ambiguities in “to have” and “to lose” (including inalienable and alienable possession) and ambiguities of quantification based on substitution of indefinite plural expressions for indefinite or anaphoric pronouns, and Stoic awareness of these. Section 8 considers metaphorical readings and allusions that add further spice to the paradox. (shrink)

Russell’s new theory of denoting phrases introduced in “On Denoting” in Mind 1905 is now a paradigm of analytic philosophy. The main argument for Russell’s new theory is the so-called ‘Gray’s Elegy’ argument, which purports to show that the theory of denoting concepts (analogous to Frege’s theory of senses) promoted by Russell in the 1903 Principles of Mathematics is incoherent. The ‘Gray’s Elegy’ argument rests on the premise that if a denoting concept occurs in a proposition, then the proposition is (...) not about the concept. I argue that the premise is false. The ‘Gray’s Elegy’ argument does not exhaust Russell’s ammunition against the theory of denoting concepts. Another reason Russell rejects the theory is, as he says, that it cannot provide an adequate account of non-uniquely denoting concepts. In the last section of the paper, I argue that even though Russell was right in thinking that the theory of denoting concepts cannot provide an adequate account of non-uniquely denoting concepts, Russell’s new theory does not succeed in eliminating the occurrence of all denoting concepts, as it requires a commitment to the existence of variables that indirectly denote their values. However, the view that variables are denoting concepts is unproblematic once the ‘Gray’s Elegy’ argument is blocked. (shrink)

I. Descriptions in Predicative Position The predicative analysis and Russell’s theory part company when it comes to the argument structure assigned to sentences like (1). (1) Washington is the greatest French soldier. On a standard Russellian analysis, (1) has the following (a) logical form and (b) truth conditions.

A common objection to Russell's theory of descriptions concerns incomplete definite descriptions: uses of (for example) ‘the book is overdue’ in contexts where there is clearly more than one book. Many contemporary Russellians hold that such utterances will invariably convey a contextually determined complete proposition, for example, that the book in your briefcase is overdue. But according to the objection this gets things wrong: typically, when a speaker utters such a sentence, no facts about the context or the speaker's communicative (...) intentions single out a particular description-theoretic proposition as the proposition expressed. However, this is an objection only if it is assumed that successful linguistic communication requires the hearer to identify a proposition uniquely intended by the speaker. We argue that this assumption is mistaken. On our view, no proposition, descriptive or referential, is uniquely intended in such a context; thus, no proposition can nor need be identified as the proposition expressed. One significant upshot is that, once the aforementioned assumption is rejected, incompleteness no longer poses a threat to Russell's theory of descriptions. (shrink)

One of the mainstays of the theory of definite descriptions since Russell (1905) has been their interaction with negation. In particular, Russellians, who advocate the view that definite descriptions are a kind of quantifier, point to these interactions as evidence in favor of the their view. The argument runs roughly as follows.

Logicism is one of the great reductionist projects. Numbers and the relationships in which they stand may seem to possess suspect ontological credentials – to be entia non grata – and, further, to be beyond the reach of knowledge. In seeking to reduce mathematics to a small set of principles that form the logical basis of all reasoning, logicism holds out the prospect of ontological economy and epistemological security. This paper attempts to show that a fundamental logicist project, that of (...) defining the number one in terms drawn only from logic and set theory, is a doomed enterprise. The starting point is Russell''s Theory of Descriptions, which purports to supply a quantificational analysis of definite descriptions by adjoining a ''uniqueness clause'' to the formal rendering of indefinite descriptions. That theory fails on at least two counts. First, the senses of statements containing indefinite descriptions are typically not preserved under the Russellian translation. Second (and independently), the ''uniqueness clause'' fails to trim ''some'' to ''one''. The Russell–Whitehead account in Principia Mathematica fares no better. Other attempts to define ''one'' are covertly circular. An ontologically non-embarrassing alternative account of the number words is briefly sketched. (shrink)

Although Strawson’s main aim in “On Referring” was to argue that definite descriptions can be used referentially – that is, “to mention or refer to some individual person or single object . . . , in the course of doing what we should normally describe as making a statement about that person [or] object” (1950, p. 320) – he denied that definite descriptions are always used referentially. The description in ‘Napoleon was the greatest French soldier’ is not used referentially, says (...) Strawson, since it is used not to mention an individual, but only “to say something about an individual already mentioned” (p. 320). This is an example of what we may call a predicative use of a definite description, though such uses might be better illustrated by considering the false sentence.. (shrink)

In “Descriptions as Predicates” (Graff 2001) I argued that definite and indefinite descriptions should be given a uniform semantic treatment as predicates rather than as quantifier phrases. The aim of the current paper is to clarify and elaborate one of the arguments for the descriptions-as-predicates view, one that concerns the interaction of descriptions with adverbs of quantification.

Although Strawson’s main aim in “On Referring” was to argue that definite descriptions can be used referentially – that is, “to mention or refer to some individual person or single object . . . , in the course of doing what we should normally describe as making a statement about that person [or] object” (1950, p. 320) – he denied that definite descriptions are always used referentially. The description in ‘Napoleon was the greatest French soldier’ is not used referentially, says (...) Strawson, since it is used not to mention an individual, but only “to say something about an individual already mentioned” (p. 320). This is an example of what we may call a predicative use of a definite description, though such uses might be better illustrated by considering the false sentence.. (shrink)

Some philosophical proposals seem to die hard. In a recent paper, Jason Stanley has worked to resurrect the description theory of reference, at least as it might apply to natural kind terms like ‘elm’ (Stanley, 1999). The theory’s founding idea is that to understand ‘elm’ one must know a uniquely identifying truth about elms. Famously, Hilary Putnam showed that ordinary users of ‘elm’ may understand it while lacking such knowledge, and may even be unable to distinguish elms from beeches (Putnam, (...) 1975). In response, Stanley claims that linguistic understanding in the case of natural kind terms comes in levels, and that only those at the top level need have the knowledge in question. The description theory, in Stanley’s hands, applies only to those with top level understanding and it is their understanding that fixes the term’s reference. To use the term successfully, those with inferior understanding need only be defer- ential to those at the top. However, Stanley’s appeal to expert knowledge fails to revive the description theory. (shrink)

... and new questions in philosophical logic arose, when Russell introduced his ... whether Scott is the author of Waverley without wishing to know whether ..

Recently, an orthodox Russellian tenet has come under fire from within. In particular, some Russellians now argue that definite descriptions don’t semantically encode uniqueness. Instead, Reformed Russellians, as I call them, hold that definite descriptions are truth-theoretically identical to indefinite ones. On this approach, a definite description’s uniqueness reading becomes a matter of pragmatics, not semantics. These reforms, we’re told, provide both empirical and methodological benefits over and above the prevailing orthodoxy. As I argue, however, the Russellian Reformation contains serious (...) flaws. Indeed, it is Orthodox Russellianism that remains a superior choice, both empirically and conceptually. (shrink)

What, from a semantic perspective, is the difference between singular indefinite and definite descriptions? Just over a century ago, Russell provided what has become the standard philosophical response. Descriptions are quantifier phrases, not referring expressions. As such, they differ with respect to the quantities they denote. Indefinite descriptions denote existential quantities; definite descriptions denote uniquely existential quantities. Now around the 1930s and 1940s, some linguists, working independently of philosophers, developed a radically different response. Descriptions, linguists such as Jespersen held, were (...) referring expressions, not quantifier phrases. Accordingly, descriptions differ with respect their rules of reference. Indefinite descriptions refer to „novel‟ items, definite descriptions to „familiar‟ ones. My dissertation serves as the first systematic effort to bridge the gap between these two seemingly incompatible responses. It provides a satisfactory answer to the above question which links the seemingly intractable divide between Russellians and familiarity theorists. This is achieved by utilizing two observations: Donnellan‟s observation that speakers use descriptions not only as devices of quantification but also as devices of reference, and Devitt‟s observation that these two uses, being regular, systematic, and cross-linguistic, have the status of convention in our language. Taken in conjunction, these two observations, I argue, require postulating that descriptions are semantically ambiguous. These observations compel the thoughtful theorist to maintain that descriptions have two distinct semantic functions, one quantificational and one referential. Accordingly, the semantic contrast between singular indefinite and definite descriptions is two-fold. Descriptions can contrast either quantificationally or with respect to the speaker‟s view of the audience‟s familiarity with the description‟s referent. (shrink)

This paper discusses the apparent scope ambiguities between definite descriptions and modal operators. I argue that we need the theory of presupposition to explain why these ambiguities are not always present, and that once that theory is in hand, Kripke’s modal argument loses much of its force.

It is widely agreed that sentences containing a non-denoting description embedded in the scope of a propositional attitude verb have true de dicto interpretations, and Russell’s (1905) analysis of definite descriptions is often praised for its simple analysis of such cases, cf. e.g. Neale (1990). However, several people, incl. Elbourne (2005, 2009), Heim (1991), and Kripke (2005), have contested this by arguing that Russell’s analysis yields incorrect predictions in non-doxastic attitude contexts. Heim and Elbourne have subsequently argued that once certain (...) facts about presupposition projection are fully appreciated, the Frege/Strawson analysis of definite descriptions has an explanatory advantage. In this paper, I argue that both Russell’s analysis and the Frege/Strawson analysis face a serious problem when it comes to the interaction of attitude verbs and definite descriptions. I argue that the problem observed by Elbourne, Heim, and Kripke is much more general than standardly assumed and that a solution requires a revision of the semantics of definite and indefinite descriptions. I outline the conditions that are required to solve the problem and present an analysis couched in dynamic semantics which can provide a solution. I conclude by discussing some further issues related to propositional attitude verbs that complicate a fully general solution to the problem. (shrink)

§1. Introduction. By means of what semantic features is a proper name tied to its bearer? This is a puzzling question indeed: proper names — like “Aristotle” or “Paris” — are syntactically simple, and it therefore does not seem possible to reduce their meanings, by means of a principle of compositionality, to the meanings of more basic, and hence perhaps more tractable, linguistic elements.