Gillian Russell

When we encounter speech that denigrates others unjustly, we sometimes feel a desire and an obligation to respond with more speech—a response that this paper calls ‘speaking up’. Even so, it is also common to have doubts about the value of speaking up. The paper exploits Stalnaker’s notion of a Context Set and Lewis’s work on Accommodation to further develop a model of subordinating speech that has been taking shape in the literature on pornography and hate speech. It then uses that model to suggest five ways in which speaking up can make a difference—while also noting that the model suggests that the effectiveness of speaking up can be limited by certain aspects of the context.

This chapter asks whether there is any such thing as feminist logic. It defines feminism and logic, and then goes on to present and evaluate four possible views, introducing and critiquing the work of Andrea Nye, Val Plumwood, and Susan Stebbing. It argues that Stebbing’s approach—on which feminism is one among many political applications of logic—is correct, but that feminist logic could do more, by providing a formal framework for the study of social hierarchies, much as it presently provides a formal framework for the study of numbers and similarity rankings among possible worlds.

Some philosophers have claimed that sentences like all bachelors are unmarried are analytic, where this is to say that they are true in virtue of meaning, and that anyone who understands one can know that it is true. Some have claimed in addition that the notion of analyticity can be used to solve problems in epistemology. However, in the last century the work of Quine and Putnam led many to doubt such claims, and to suspect that there is no analyticity, only an illusion of analyticity to be explained. ;I think that there is something to Quine and Putnams objections. Moreover, I think that they are of help in formulating a better account of analyticity. The core of this dissertation is an account of the analytic/synthetic distinction which uses recent developments in the philosophy of language-including Russellian semantics, distinctions between different kinds of meaning, two-dimensional modal logic and the distinction between analyticity, necessity and a priority---to defend a theory which covers both the traditional necessary analytic truths such as all vixens are female and Kaplans examples of the contingent analytic such as I am here now, dthat □ = and Snow is white iff actually, now, snow is white. ;This account is used to provide solutions to problems in philosophical logic concerning the correct accounts of vagueness, inconsistency and modality. I also show how it can be used to provide a solution to the Liar paradox

Philosophy of language is the branch of philosophy that examines the nature of meaning, the relationship of language to reality, and the ways in which we use, learn, and understand language. _The Routledge Companion to Philosophy of Language _provides a comprehensive and up-to-date survey of the field, charting its key ideas and movements, and addressing contemporary research and enduring questions in the philosophy of language. Unique to this _Companion _is clear coverage of research from the related disciplines of formal logic and linguistics, and discussion of the applications in metaphysics, epistemology, ethics and philosophy of mind. Organized thematically, the _Companion _is divided into seven sections: Core Topics; Foundations of Semantics; Parts of Speech; Methodology; Logic for Philosophers of Language; Philosophy of Language for the Rest of Philosophy; and Historical Perspectives. Comprised of 70 never-before-published essays from leading scholars--including Sally Haslanger, Jeffrey King, Sally McConnell-Ginet, Rae Langton, Kit Fine, John MacFarlane, Jeff Pelletier, Scott Soames, Jason Stanley, Stephen Stich and Zoltan Gendler Szabo--the _Routledge Companion to Philosophy of Language_ promises to be the most comprehensive and authoritative resource for students and scholars alike.

This paper explores, develops, and evaluates Waismann’s six papers on the analytic/synthetic distinction, which were published in Analysis between 1949 and 1953. Although the sequence is unfinished, Waismann develops a view of analyticity on which it can be defined in terms of definitions. Definitions, however, are a diverse group of things which cannot be given a definition themselves. Much like a family resemblance expression, definitions are irregular, incomplete, and their extensions are subject to our choices. Analyticity—being defined in terms of definitions—inherits these properties. Given the foundational importance of analyticity in the linguistic approach to philosophy popular at the time Waismann was writing, the view turns out to have far-reaching consequences for Positivism, for Ordinary Language Philosophy, for the epistemology of logic, and for the way we pursue philosophy.

Some recent work on logical pluralism has suggested that the view might be in danger of collapsing into logical nihilism, the view on which there are no valid arguments. The goal of this chapter is to argue that the prospects for preventing such a collapse vary with one’s account of logical consequence. Section 1 lays out four central approaches to consequence, beginning with the approaches Etchemendy (On the Concept of Logical Consequence. CSLI: Stanford, 1999) called interpretational and representational, and then adding a Quinean substitutional approach as well as the more recent universalist account given in Williamson (Modal Logic as Metaphysics. Oxford: Oxford University Press, 2013; Semantic Paradoxes and Abductive Methodology. In Reflections on the Liar, ed. B. Armour-Garb, 325–346. Oxford: Oxford University Press, 2017). Section 2 recounts how the threat of logical nihilism arises in the debate over logical pluralism. Section 3 then looks at the ways the rival accounts of logical consequence are better or worse placed to resist the threat.

Anti-exceptionalists about formal logic think that logic is continuous with the sciences. Many philosophers of science think that there is feminist science. Putting these together: can anti-exceptionalism make space for feminist logic? The answer depends on the details of the ways logic is like science and the ways science can be feminist. This paper wades into these details, examines five different approaches, and ultimately argues that anti-exceptionalism makes space for feminist logic in several different ways.

Nancy Cartwright's 1983 book How the Laws of Physics Lie argued that theories of physics often make use of idealisations, and that as a result many of these theories were not true. The present paper looks at idealisation in logic and argues that, at least sometimes, the laws of logic fail to be true. That might be taken as a kind of skepticism, but I argue rather that idealisation is a legitimate tool in logic, just as in physics, and recognising this frees logicians up to use false laws where these are helpful.

A barrier to entailment exists if you can't get conclusions of a certain kind from premises of another. One of the most famous barriers in philosophy is Hume's Law, which says that you can't get normative conclusions from descriptive premises, or in slogan form: you can't get an ought from an is. This barrier is highly controversial, and many famous counterexamples were proposed in the last century. But there are other barriers which function almost as philosophical platitudes: no Universal conclusions from Particular premises, no Future conclusions from premises about the Past, and no claims that attribute Necessity from premises that merely tell us how things happen to be in the Actual world. Barriers to Entailment proposes a unified logical account of five barriers that have played important roles in philosophy, in the process showing how to diagnose proposed counterexamples and arguing that the case for Hume's Law is as strong as that for the platitudinous barriers. The first two parts of the book employ techniques from formal logic, but present them in an accessible way, suitable for any reader with some background in first-order model theory (of the kind that might be taught in a first class in logic). Gillian Russell introduces tense, modal, indexical, and deontic formal logics, but always avoids unneeded complexity. Each barrier is connected to broader philosophical topics: universality, time, necessity, context-sensitivity, and normativity. Russell brings out under-recognised connections between the domains and lays the groundwork for further work at the intersections. The last part of the book transposes the formal work to informal barrier theses in the philosophy of language, in the process doing new work on the concept of logical consequence, and providing new responses to proposed informal counterexamples to Hume's Law which employ hard-to-formalise tools from natural language, such as speech acts and thick normative expressions.

Logical pluralism is the view that there is more than one logic. Logical normativism is the view that logic is normative. These positions have often been assumed to go hand-in-hand, but we show that one can be a logical pluralist without being a logical normativist. We begin by arguing directly against logical normativism. Then we reformulate one popular version of pluralism—due to Beall and Restall—to avoid a normativist commitment. We give three non-normativist pluralist views, the most promising of which depends not on logic’s normativity but on epistemic goals.

This paper looks at what David Kaplan's work on indexicals can teach us about logic and the philosophy of logic, and also what Kaplan's logic (i.e. the Logic of Demonstratives) can teach us about indexicals. The lessons are i) that logical consequence is not necessary truth-preservation, ii) that that the linguistic doctrine of necessary truth (also called conventionalism about modality) fails, and iii) that there is a kind of barrier to entailment between non-context-sensitive and context-sensitive claims.

This paper is about the putative theoretical virtue of strength, as it might be used in abductive arguments to the correct logic in the epistemology of logic. It argues for three theses. The first is that the well-defined property of logical strength is neither a virtue nor a vice, so that logically weaker theories are not—all other things being equal—worse or better theories than logically stronger ones. The second thesis is that logical strength does not entail the looser characteristic of scientific strength, and the third is that many modern logics are on a par—or can be made to be on a par—with respect to scientific strength.

Sider offers a new take on a linguistic account of necessity. In this paper, I assess his view’s vulnerability to objections made against more traditional linguistic accounts, especially an argument I call the “indexical problem.” I conclude that the indexical problem has no force against Sider’s approach because the view is able to attribute modal properties directly to propositions, rather than indirectly via analytic sentences that express them. However, Sider also argues that traditional linguistic accounts fail because of two well-known problems, and I argue that the same two problems undermine his own account.

Recent work on analyticity distinguishes two kinds, metaphysical and epistemic. This paper argues that the distinction allows for a new view in the philosophy of logic according to which the claims of logic are metaphysically analytic and have distinctive modal profiles, even though their epistemology is holist and in many ways rather Quinean. It is argued that such a view combines some of the more attractive aspects of the Carnapian and Quinean approaches to logic, whilst avoiding some famous problems

In his recent Philosophers’ Imprint paper “The (mostly harmless) inconsistency of knowledge attributions” [Weiner, 2009], Matt Weiner argues that the semantics of the expression “knows that”, as it is used in attributions of knowledge like “Hannah knows that the bank will be open,” are inconsistent, but that this inconsistency is “mostly harmless.” He presents his view as an alternative to the invariantist, contextualist and relativist approaches currently prevalent in the literature, (e.g. [Stanley, 2005], [DeRose, 1995], [Hawthorne, 2006], [MacFarlane, 2005]) and argues that it avoids important disadvantages of each. Yet in calling the supposed inconsistency of knowledge attributions “mostly harmless”, Weiner implies that his view does not have new disadvantages of its own. My purpose in the present paper is to argue that the inconsistency and harmlessness theses cannot be jointly maintained: if we accept that the semantics of ‘know’—or indeed any word—are inconsistent, then we face a dilemma: one horn is dialetheism, the view that there there are true contradictions, the other is the view that that semantic competence in English requires belief in, or similar commitment to, falsehoods. I will argue that neither of these options is well described as “mostly harmless.” The paper is structured as follows: in the first part I present Weiner’s view and his arguments for it. Then in section 2 I compare the question of whether the semantics of ‘knows that’ are inconsistent to the much older controversy over whether the semantics of the expression ‘is true’ are inconsistent. In section 3 I will present Hans Herzberger’s arguments from the 1960s for thinking that no expression in a natural language can have inconsistent semantics. Finally, in section 4 I argue that although Herzberger’s argument seems anachronistic today, both contemporary ways of avoiding his conclusion have significant disadvantages.

Once a standard tool in the epistemologist’s kit, the analytic/synthetic distinction was challenged by Quine and others in the mid-twentieth century and remains controversial today. But although the work of a lot contemporary philosophers touches on this distinction – in the sense that it either has consequences for it, or it assumes results about it – few have really focussed on it recently. This has the consequence that a lot has happened that should affect our view of the analytic/synthetic distinction, while little has been done to work out exactly what the effects are. All these features together make the topic ideal for either a survey or research seminar at the graduate level: it can provide an organising theme which justifies a spectrum of classic readings from Locke to Williamson, passing though Kant, Frege, Carnap, Quine and Kripke on the way, but it could also provide an excuse for a much more narrowly construed research seminar which studies the consequences of really contemporary philosophy of language and linguistics for the distinction

Machine generated contents note: -- Series Editors' PrefaceAcknowledgementsNotes on ContributorsHow Things Are Elsewhere; W. Schwarz Information Change and First-Order Dynamic Logic; B.Kooi Interpreting and Applying Proof Theories for Modal Logic; F.Poggiolesi & G.Restall The Logic(s) of Modal Knowledge; D.Cohnitz On Probabilistically Closed Languages; H.Leitgeb Dogmatism, Probability and Logical Uncertainty; B.Weatherson & D.Jehle Skepticism about Reasoning; S.Roush, K.Allen & I.HerbertLessons in Philosophy of Logic from Medieval Obligations; C.D.Novaes How to Rule Out Things with Words: Strong Paraconsistency and the Algebra of Exclusion; F.Berto Lessons from the Logic of Demonstratives; G.RussellThe Multitude View on Logic; M.Eklund Index.