This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

Timothy Williamson; VII*—Equivocation and Existence, Proceedings of the Aristotelian Society, Volume 88, Issue 1, 1 June 1988, Pages 109–128, https://doi.org/10.

Timothy Williamson; VII*—Equivocation and Existence, Proceedings of the Aristotelian Society, Volume 88, Issue 1, 1 June 1988, Pages 109–128, https://doi.org/10.

On reading the last sentence, did you interpret me as saying falsely that everything — everything in the entire universe — was packed into my carry-on baggage? Probably not. In ordinary language, ‘everything’ and other quantifiers (‘something’, ‘nothing’, ‘every dog’, ...) often carry a tacit restriction to a domain of contextually relevant objects, such as the things that I need to take with me on my journey. Thus a sentence of the form ‘Everything Fs’ is true as uttered in a (...) context C if and only if everything that is relevant in C satisfies the predicate ‘F’; ‘everything’ ranges just over the contextually relevant things. Such generality is restricted in a context-relative way. (shrink)

The theorems of the simplest and strongest sensible quantified modal logic include the Barcan Formula and its converse. Both formulas face strong intuitive objections. This paper develops a theory of possibilia to meet those objections.

Bertrand Russell offered an influential paradox of propositions in Appendix B of The Principles of Mathematics, but there is little agreement as to what to conclude from it. We suggest that Russell's paradox is best regarded as a limitative result on propositional granularity. Some propositions are, on pain of contradiction, unable to discriminate between classes with different members: whatever they predicate of one, they predicate of the other. When accepted, this remarkable fact should cast some doubt upon some of the (...) uses to which modern descendente of Russell's paradox of propositions have been put in recent literature. (shrink)

We identify a class of paradoxes that is neither set-theoretical nor semantical, but that seems to depend on intensionality. In particular, these paradoxes arise out of plausible properties of propositional attitudes and their objects. We try to explain why logicians have neglected these paradoxes, and to show that, like the Russell Paradox and the direct discourse Liar Paradox, these intensional paradoxes are recalcitrant and challenge logical analysis. Indeed, when we take these paradoxes seriously, we may need to rethink the commonly (...) accepted methods for dealing with the logical paradoxes. (shrink)

Dan Sperber, Deirdre Wilson; IX*—Loose Talk, Proceedings of the Aristotelian Society, Volume 86, Issue 1, 1 June 1986, Pages 153–172, https://doi.org/10.1093/ar.

My task here is the first one. I do present a consistent formal system and claim that it provides a perfect model of natural languages such as English, but this system involves no surprises. It is none other than the standard framework of classical logic and model theory. The real weight of the argument lies in the claim that the classical framework—without alteration or addition—contains the resources to model what happens when we say in English ‘This sentence is not true’.

[First Paragraph] Unlike so many other distinctions in philosophy, H P Grice's distinction between what is said and what is implicated has an immediate appeal: undergraduate students readily grasp that one who says 'someone shot my parents' has merely implicated rather than said that he was not the shooter [2]. It seems to capture things that we all really pay attention to in everyday conversation'this is why there are so many people whose entire sense of humour consists of deliberately ignoring (...) implicatures. ('Can you pass the salt?' 'Yes.') Unsurprisingly, it was quickly picked up and put to a wide variety of uses in not only in philosophy but also in linguistics and psychology. What is surprising, however, is that upon close inspection Grice's conception of implicature turns out to be very different from those at work in the literature which has grown out of his original discussion. This would not be much of a criticism of this literature were it not for the fact that discussions of implicature explicitly claim to be using Grice's notion, not some other one inspired by him (generally going so far as to quote one of Grice's characterisations of implicature). This still would not be terribly interesting if the notion Grice was actually carving out had little theoretical or practical utility. But I will argue here that Grice's own notion of implicature, one quite different from the ones most of us have come to work with, is in fact far more interesting and subtle than that which has been attributed to him. (shrink)

There is little doubt that a second-order axiomatization of Zermelo-Fraenkel set theory plus the axiom of choice (ZFC) is desirable. One advantage of such an axiomatization is that it permits us to express the principles underlying the first-order schemata of separation and replacement. Another is its almost-categoricity: M is a model of second-order ZFC if and only if it is isomorphic to a model of the form Vκ, ∈ ∩ (Vκ × Vκ) , for κ a strongly inaccessible ordinal.

The work of the late Paul Grice (1913–1988) exerts a powerful influence on the way philosophers, linguists, and cognitive scientists think about meaning and communication. With respect to a particular sentence φ and an “utterer” U, Grice stressed the philosophical importance of separating (i) what φ means, (ii) what U said on a given occasion by uttering φ, and (iii) what U meant by uttering φ on that occasion. Second, he provided systematic attempts to say precisely what meaning is by (...) providing a series of more refined analyses of utterer’s meaning, sentence meaning, and what is said. Third, Grice produced an account of how it is possible for what U says and what U means to diverge. Fourth, by characterizing a philosophically important distinction between the “genuinely semantic” and “merely pragmatic” implications of a statement, Grice clarified the relationship between classical logic and the semantics of natural language. Fifth, he provided some much needed philosophical ventilation by deploying his notion of “implicature” to devastating effect against certain overzealous strains of “Ordinary Language Philosophy,” without himself abandoning the view that philosophy must pay attention to the nuances of ordinary talk. Sixth, Grice undercut some of the most influential arguments for a philosophically significant notion of “presupposition.” Today, Grice’s work lies at the center of research on the semantics-pragmatics distinction and shapes much discussion of the relationship between language and mind. In a nutshell, Grice has forced philosophers and linguists to think very carefully about the sorts of facts a semantic theory is supposed to account for and to reflect upon the most central theoretical notions, notions that otherwise might be taken for granted or employed without due care and attention. To be sure, Grice’s own positive proposals have their weaknesses; but in the light of his work any theory of meaning that is to be taken at all seriously must now draw a sharp line between genuinely semantic facts and facts pertaining to the nature of human interaction.. (shrink)

John McDowell has often emphasized the fact that the use of langauge is a rational enterprise. In this paper, I explore the sense in which this is so, arguing that our use of language depends upon our consciously knowing what our words mean. I call this a 'cognitive conception of semantic competence'. The paper also contains a close analysis of the phenomenon of implicature and some suggestions about how it should and should not be understood.

Intuitionists and classical logicians use in common a large number of the logical axioms, even though they supposedly mean different things by the logical connectives and quantifiers — conquans for short. But Wittgenstein says The meaning of a word is its use in the language. We prove that in a definite sense the intuitionistic axioms do indeed characterize the logical conquans, both for the intuitionist and the classical logician.

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. (shrink)

Grice's (1957) analysis of non-natural meaning generated a huge industry, where new analyses were put forward to respond to successively more complex counterexamples. Davis (2003) offers a novel and refreshingly simple analysis of meaning in terms of the expression of belief, where (roughly) an agent expresses the belief that p just in case she performs a publicly observable action with the intention that it be an indication that she occurrently believes that p. I argue that Davis's analysis fails to capture (...) the essentially overt nature of our meaning-intentions, and with it, a plausible sufficient condition for meaning. (shrink)

A number of `no-proposition' approaches to the liar paradox find themselves implicitly committed to a moderate disquotational principle: the principle that if an utterance of the sentence `$P$' says anything at all, it says that $P$ (with suitable restrictions). I show that this principle alone is responsible for the revenge paradoxes that plague this view. I instead propose a view in which there are several closely related language-world relations playing the `semantic expressing' role, none of which is more central to (...) semantic theorizing than any other. I use this thesis about language and the negative result about disquotation to motivate the view that people do say things with utterances of paradoxical sentences, although they do not say the proposition you'd always expect, as articulated with a disquotational principle. (shrink)