Repr. as Essay 14 in Davidson, Donald, _Inquiries into Truth and Interpretation_, 2nd ed. Oxford, UK (Clarendon, 2001). 215-226.

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

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)

Fictionalism about possible worlds is the view that talk about worlds in the analysis of modality is to be construed as ontologically innocent discourse about the content of a fiction. Versions of the view have been defended by D M Armstrong (in "A Combinatorial Theory of Possibility") and by myself (in "Modal Fictionalism', "Mind" 99, July 1990). The present note argues that fictionalist accounts of modality (both Armstrong's version and my own) fail to serve the fictionalists ontological purposes because they (...) imply that as a matter of necessity there exist many worlds. (shrink)

Besides serving us at the growing edge of science and beyond, metaphor figures even in our first learning of language; or, if not quite metaphor, something akin to it. We hear a word or phrase on some occasion, or by chance we babble a fair approximate ourselves on what happens to be a pat occasion and are applauded for it. On a later occasion, then, one that resembles the first occasion by our lights, we repeat the expression. Resemblance of occasions (...) is what matters, here as in metaphor. We generalize our application of the expression by degrees of subjective resemblance of occasions, until we discover from other people's behavior that we have pushed analogy too far and exceeded the established usage. If the crux of metaphor is creative extension through analogy, then we have forged a metaphor at each succeeding application of that early word of phrase. These primitive metaphors differ from the deliberate and sophisticated ones, however, in that they accrete directly to our growing store of standard usage. They are metaphors stillborn. It is a mistake, then, to think of linguistic usage as literalistic in its main body and metaphorical in its trimming. Metaphor, or something like it, governs both the growth of language and our acquisition of it. What comes as a subsequent refinement is rather cognitive discourse itself, at its most dryly literal. The neatly worked inner stretches of science are an open space in the tropical jungle, created by clearing tropes away. W. V. Quine is the Edgar Pierce professor emeritus of philosophy at Harvard University. His many influential works include Methods of Logic, Word and Object, and The Roots of Reference. "On the Nature of Moral Values," his previous contribution to Critical Inquiry, appeared in the Spring 1979 issue. (shrink)

There is a class of fictionalist strategies (the reflexive fictionalisms) which appear to suffer from a common problem: the problem that the entities which are supposedly fictional turn out, by the lights of the fictionalist theory itself, to exist. The appropriate solution is to reject so-called strong fictionalism in each case: that is, to reject the variety of fictionalism which takes appeal to the domain of fictional entities to provide an explanation or analysis of the operators or predicates with which (...) the objects are systematically correlated. (shrink)

Fodor and katz criticize cavell's position on the relation between ordinary language philosophy and empirical investigations of ordinary language, In "must we mean what we say?," _inquiry, Volume 1, Pages 172-212, And "the availability of wittgenstein's later philosophy," "philosophical review", Volume 71, Pages 67-93. Cavell holds that disagreements between ordinary language philosophers over grammar and semantics are in no sense empirical. Fodor and katz show that ordinary language philosophers are engaged in empirical investigation. (staff).

The concept of metaphor as primarily a vehicle for conveying ideas, even if unusual ones, seems to me as wrong as the parent idea that a metaphor has a special meaning. I agree with the view that metaphors cannot be paraphrased, but I think this is not because metaphors say something too novel for literal expression but because there is nothing there to paraphrase. Paraphrase, whether possible or not, inappropriate to what is said: we try, in paraphrase, to say it (...) another way. But if I am right, a metaphor doesn't say anything beyond its literal meaning. This is not, of course, to deny that a metaphor has a point, nor that that point can be brought out by using further words.... My disagreement is with the explanation of how metaphor works its wonders. To anticipate: I depend on the distinction between what words mean and what they are used to do. I think metaphor belongs exclusively to the domain of use. It is something brought off by the imaginative employment of words and sentences and depends entirely on the ordinary meanings of those words and hence on the ordinary meanings of the sentences they comprise. Donald Davidson is University Professor of philosophy at the University of Chicago. He is the author of many important essays, including "Actions, Reasons and Causes," "Causal Relations," and "Truth and Meaning," coauthor of Decision-Making: An Experimental Approach, and coeditor of Words and Objections, Semantics of Natural Language, and The Logic of Grammar. (shrink)

Martin Davies; V*—Idiom and Metaphor, Proceedings of the Aristotelian Society, Volume 83, Issue 1, 1 June 1983, Pages 67–86, https://doi.org/10.1093/aristotelia.

Mark Balaguer has written a provocative and original book. The book is as ambitious as a work of philosophy of mathematics could be. It defends both of the dominant views concerning the ontology of mathematics, Platonism and Anti-Platonism, and then closes with an argument that there is no fact of the matter which is right.

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument (...) for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct. (shrink)

This book does three main things. First, it defends mathematical platonism against the main objections to that view (most notably, the epistemological objection and the multiple-reductions objection). Second, it defends anti-platonism (in particular, fictionalism) against the main objections to that view (most notably, the Quine-Putnam indispensability objection and the objection from objectivity). Third, it argues that there is no fact of the matter whether abstract mathematical objects exist and, hence, no fact of the matter whether platonism or anti-platonism is true.

The main task of this paper is to defend anti-platonism by providing an anti-platonist (in particular, a fictionalist) account of the indispensable applications of mathematics to empirical science.

Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favor of another approach--naturalism. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Her clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.

The book will serve as an excellent graduate-level textbook in cognitive psychology, linguistics, and artificial intelligence.

Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

Many philosophers and psychologists argue that out everyday ability to predict and explain the actions and mental states of others is grounded in out possession of a primitive 'folk' psychological theory. Recently however, this theory has come under challenge from the simulation alternative. This alternative view says that human beings are able to predict and explain each other's actions by using the resources of their own minds to simulate the psychological aetiology of the actions of the others. This book and (...) the companion volume Folk Psychology: The Theory of Mind Debate together offer a richly woven fabric of philosophical and psychological theory, which promises to yield real insights into the nature of our mental lives. (shrink)

[Stephen Yablo] The usual charge against Carnap's internal/external distinction is one of 'guilt by association with analytic/synthetic'. But it can be freed of this association, to become the distinction between statements made within make-believe games and those made outside them-or, rather, a special case of it with some claim to be called the metaphorical/literal distinction. Not even Quine considers figurative speech committal, so this turns the tables somewhat. To determine our ontological commitments, we have to ferret out all traces of (...) nonliterality in our assertions; if there is no sensible project of doing that, there is no sensible project of Quinean ontology. /// [Andre Gallois] I discuss Steve Yablo's defence of Carnap's distinction between internal and external questions. In the first section I set out what I take that distinction, as Carnap draws it, to be, and spell out a central motivation Carnap has for invoking it. In the second section I endorse, and augment, Yablo's response to Quine's arguments against Carnap. In the third section I say why Carnap's application of the distinction between internal and external questions runs into trouble. In the fourth section I spell out what I take to be Yablo's version of Carnap. In the last I say why that version is especially vulnerable to the objection raised in the second. (shrink)

The book is an attempt at explaining to the nation the ideas of Frege's Grundlagen. It is wordy and trite, a paradigm case of a redundant piece of writing. The reader is advised to steer clear of it.

This paper explores the sense in which belief "aims at the truth". In this course of this exploration, it discusses the difference between belief and make-believe, the nature of psychoanalytic explanation, the supposed "normativity of meaning", and related topics.

[Stephen Yablo] The usual charge against Carnap's internal/external distinction is one of 'guilt by association with analytic/synthetic'. But it can be freed of this association, to become the distinction between statements made within make-believe games and those made outside them-or, rather, a special case of it with some claim to be called the metaphorical/literal distinction. Not even Quine considers figurative speech committal, so this turns the tables somewhat. To determine our ontological commitments, we have to ferret out all traces of (...) nonliterality in our assertions; if there is no sensible project of doing that, there is no sensible project of Quinean ontology. /// [Andre Gallois] I discuss Steve Yablo's defence of Carnap's distinction between internal and external questions. In the first section I set out what I take that distinction, as Carnap draws it, to be, and spell out a central motivation Carnap has for invoking it. In the second section I endorse, and augment, Yablo's response to Quine's arguments against Carnap. In the third section I say why Carnap's application of the distinction between internal and external questions runs into trouble. In the fourth section I spell out what I take to be Yablo's version of Carnap. In the last I say why that version is especially vulnerable to the objection raised in the second. (shrink)