Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured previous (...) discussions of these projects, and presents clear, concise accounts of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed. (shrink)

Many competent speakers initially judge that (i) is true and (ii) isfalse, though they know that (iii) is true. (i) Superman leaps more tallbuildings than Clark Kent. (ii) Superman leaps more tall buildings thanSuperman. (iii) Superman is identical with Clark Kent. Semanticexplanations of these intuitions say that (i) and (ii) really can differin truth-value. Pragmatic explanations deny this, and say that theintuitions are due to misleading implicatures. This paper argues thatboth explanations are incorrect. (i) and (ii) cannot differ intruth-value, yet (...) the intuitions are not due to implicatures, but ratherto mistakes in evaluating (i) and (ii). (shrink)

According to an old and attractive view, vagueness must be eliminated before semantic notions — truth, implication, and so on — may be applied. This view was accepted by Frege, but is rarely defended nowadays.1 This..

In this paper, I defend a well-known theory of belief reports from an important objection. The theory is Russellianism, sometimes also called `neo-Russellianism', `Millianism', `the direct reference theory', `the "Fido"-Fido theory', or `the naive theory'. The objection concernssubstitution of co-referring names in belief sentences. Russellianism implies that any two belief sentences, that differ only in containing distinct co-referring names, express the same proposition (in any given context). Since `Hesperus' and `Phosphorus' both refer to the planet Venus, this view implies that (...) all utterances of (1) and.. (shrink)

This paper presents a theory of empty names that is consistent with direct-reference theory and Millianism.

We use names to talk about objects. We use predicates to talk about properties and relations. We use sentences to attribute properties and relations to objects. We say things when we utter sentences, often things we believe.

This volume tackles the slippery subject of 'meaning'.

This paper defends a direct reference view of names including empty names. The theory says that empty names literally have no meaning and cannot be used to express truths. Names, including empty names, are associated with accompanying descriptions that are implicated in pragmati‐cally imparted truths when empty names are used. This view is defended against several important objections having to do with differences in names, descriptions associated with the names, and considerations of modality. The view is shown to be superior (...) to an alternative theory treating empty names as the “descriptive names” of Kripke and Evans. (shrink)

This paper defends a direct reference view of names including empty names. The theory says that empty names literally have no meaning and cannot be used to express truths. Names, including empty names, are associated with accompanying descriptions that are implicated in pragmati‐cally imparted truths when empty names are used. This view is defended against several important objections having to do with differences in names, descriptions associated with the names, and considerations of modality. The view is shown to be superior (...) to an alternative theory treating empty names as the “descriptive names” of Kripke and Evans. (shrink)

In this paper we defend a direct reference theory of names. We maintain that the meaning of a name is its bearer. In the case of vacuous names, there is no bearer and they have no meaning. We develop a unified theory of names such that one theory applies to names whether they occur within or outside fiction. Hence, we apply our theory to sentences containing names within fiction, sentences about fiction or sentences making comparisons across fictions. We then defend (...) our theory against objections and compare our view to the views of Currie, Walton, and others. (shrink)

This is the 1991 (2nd) edition of the 1986 book (MIT Press), considered to be the classic defense of Millianism. The nature of the information content of declarative sentences is a central topic in the philosophy of language. The natural view that a sentence like "John loves Mary" contains information in which two individuals occur as constituents is termed the naive theory, and is one that has been abandoned by most contemporary scholars. This theory was refuted originally by philosopher Gottlob (...) Frege. His argument that the naive theory did not work is termed Frege's puzzle, and his rival account of information content is termed the orthodox theory. In this detailed study, Nathan Salmon defends a version of the naive theory and presents a proposal for its extension that provides a better picture of information content than the orthodox theory gives. He argues that a great deal of what has generally been taken for granted in the philosophy of language over the past few decades is either mistaken or unsupported, and consequently, much current research is focused on the wrong set of questions. Salmon dissolves Frege's puzzle as it is usually formulated and demonstrates how it can be reconstructed and strengthened to yield a more powerful objection to the naive theory. He then defends the naive theory against the new Frege puzzle by presenting an idea that yields both a surprisingly rich and powerful extension of the naive theory and a better picture of information content than that of the original orthodox theory. Nathan Salmon is Professor of Philosophy, University of California at Santa Barbara. (shrink)

It is advisable to treat some sorts of discourse about fiction with the aid of an intensional operator "in such-And-Such fiction...." the operator may appear either explicitly or tacitly. It may be analyzed in terms of similarity of worlds, As follows: "in the fiction f, A" means that a is true in those of the worlds where f is told as known fact rather than fiction that differ least from our world, Or from the belief worlds of the community in (...) which the fiction originated. (shrink)

A transcript of three lectures, given at Princeton University in 1970, which deals with (inter alia) debates concerning proper names in the philosophy of language.

This is the first systematic survey of modern nominalistic reconstructions of mathematics, and for this reason alone it should be read by everyone interested in the philosophy of mathematics and, more generally, in questions concerning abstract entities. In the bulk of the book, the authors sketch a common formal framework for nominalistic reconstructions, outline three major strategies such reconstructions can follow, and locate proposals in the literature with respect to these strategies. The discussion is presented with admirable precision and clarity, (...) and should be accessible even to readers with only minimal background in logic and mathematics. There will be many who will turn directly to these pages and use them as a brief manual on the state of the art of nominalism in mathematics. But the most intriguing parts of this elegant book—at least in my view—are the introduction and the conclusion, where the authors examine the significance of reconstructive nominalism. (shrink)

A challenge to the orthodoxy, which shows that quantificational accounts are not only as effective as direct reference accounts but also handle a wider range of ...

Most philosophers would say that fictional characters lack spatiotemporal location simply because such entities do not exist. However, even prominent believers in ficta hold that they must lack location. I here focus on the views of one such believer, Amie Thomasson, and her Artifactual Theory. The fundamentals of her ontology seem correct, but I argue that the view implies that ficta do have location. I provide a diagnosis of an argument Thomasson gives for the contrary, and then suggest a way (...) for the Artifactual Theory to account for the locations of ficta. I conclude by discussing some potential applications of this contribution to other areas of philosophy. (shrink)

In recent years a number of authors sympathetic to Referentialistaccounts of proper names have argued that utterances containingempty names express `gappy,' or incomplete, propositions. In this paper I want to take issue with this suggestion.In particular, I argue versions of this approach developedby David Braun, Nathan Salmon, Ken Taylor, and by Fred Adams,Gary Fuller, and Robert Stecker.

This challenging study places fiction squarely at the centre of the discussion of metaphysics. Philosophers have traditionally treated fiction as involving a set of narrow problems in logic or the philosophy of language. By contrast Amie Thomasson argues that fiction has far-reaching implications for central problems of metaphysics. The book develops an 'artifactual' theory of fiction, whereby fictional characters are abstract artifacts as ordinary as laws or symphonies or works of literature. By understanding fictional characters we come to understand how (...) other cultural and social objects are established on the basis of the independent physical world and the mental states of human beings. (shrink)

Reprint of the original, first published in 1869.

This anthology of essays on the work of David Kaplan, a leading contemporary philosopher of language, sprang from a conference, "Themes from Kaplan," organized by the Center for the Study of Language and Information at Stanford University.

In the nineteenth century, astronomers thought that a planet between Mercury and the Sun was causing perturbations in the orbit of Mercury, and they introduced ‘Vulcan’ as a name for such a planet. But they were wrong: there was, and is, no intra-Mercurial planet. Still, these astronomers went around saying things like (2) Vulcan is a planet between Mercury and the Sun. Some philosophers think that, when nineteenth-century astronomers were theorizing about an intra-Mercurial planet, they created a hypothetical planet.

In my dissertation (UCLA 2002), I argue that, by appropriating Fregean resources, Millians can solve the problems that empty names pose. As a result, the debate between Millians and Fregeans should be understood, not as a debate about whether there are senses, but rather as a debate about where there are senses.