ABSTRACT Is it possible to effect singular reference to mathematical objects in the abstractionist framework? I will argue that even if mathematical expressions pass the relevant syntactic and inferential tests to qualify as singular terms, that does not mean that their semantic function is to refer to a particular object. I will defend two arguments leading to this claim: the permutation argument for the referential indeterminacy of mathematical terms, and the argument from the semantic idleness of the terms introduced by (...) abstraction principles. (shrink)

_ Source: _Volume 95, Issue 3, pp 368 - 413 Frege famously maintained that concepts are not objects. A key argument of Frege’s for this view is, in outline, as follows: if we are to account for the unity of thought, concepts must be deemed _unsaturated_; since objects are, by contrast, saturated entities, concepts cannot be objects. The author investigates what can be made of this argument and, in particular, of the unsaturated/saturated distinction it invokes. Systematically exploring a range of (...) reconstructions suggested by Frege’s writings, and drawing on contemporary work, the author illustrates that no plausible reconstruction is forthcoming. In essence, it is altogether unclear how to simultaneously substantiate, on the one hand, the claim that unsaturated entities must be recognized in order to account for unity and, on the other, the claim that unsaturatedness is incompatible with objecthood. (shrink)

The paper deals with the main contribution of the Finnish logician Jaakko Hintikka: epistemic logic, in particular the 'static' version of the system based on the formal analysis of the concepts of knowledge and belief. I propose to take a different look at this philosophical logic and to consider it from the opposite point of view of the philosophy of logic. At first, two theories of meaning are described and associated with two competing theories of linguistic competence. In a second (...) step, I draw the conclusion that Hintikka's epistemic logic constitutes a sort of internalisation of meaning, by the introduction of epistemic modal operators into an object language. In this respect, to view meaning as the result of a linguistic competence makes epistemic logic nothing less than a logic of unified meaning and understanding. (shrink)

In the section “Validity and Existence in Logik, Book III,” I explain Lotze’s famous distinction between existence and validity in Book III of Logik. In the following section, “Lotze’s Platonism,” I put this famous distinction in the context of Lotze’s attempt to distinguish his own position from hypostatic Platonism and consider one way of drawing the distinction: the hypostatic Platonist accepts that there are propositions, whereas Lotze rejects this. In the section “Two Perspectives on Frege’s Platonism,” I argue that this (...) is an unsatisfactory way of reading Lotze’s Platonism and that the Ricketts-Reck reading of Frege is in fact the correct way of thinking about Lotze’s Platonism. (shrink)

In Boghossian's 1997 paper, 'Analyticity' he presented an account of a prioriknowledge of basic logical principles as available by inference from knowledge of their role in determining the meaning of the logical constants by implicit definitiontogether with knowledge of the meanings so-determined that we possess through ourprivileged access to meaning. Some commentators (e.g. BonJour (1998), Glüer (2003),Jenkins (2008)) have objected that if the thesis of implicit definition on which he relieswere true, knowledge of the meaning of the constants would presuppose (...) knowledge of the very logical principles knowledge of which the account purports to explain. Aconsequence would seem to be that implicit definition is incompatible with privilegedaccess. I argue that whilst it is possible for Boghossian to defend against theseobjections the form of argument he proposes does exhibit a subtle form of questionbegging such that it exhibits a transmission of warrant-failure. (shrink)

Taking a lead from Eva Picardi’s work and influence, I investigate the significance of Frege’s context principle for the philosophy of language. I argue that there are some interpretive problems with recent meta-semantic interpretations of the principle. Instead, I offer a somewhat weaker alternative: the context principle is a tool to license certain definitions. Moreover, I claim that it merely lays out one of many possible ways of licensing a definition. This means, among other things, that despite Frege’s imperative injunctions, (...) the context principle formulates a permission—not a requirement. (shrink)

The words we call slurs are just plain vanilla descriptions like ‘cowboy’ and ‘coat hanger’. They don't semantically convey any disparagement of their referents, whether as content, conventional implicature, presupposition, “coloring” or mode of presentation. What distinguishes 'kraut' and 'German' is metadata rather than meaning: the former is the conventional description for Germans among Germanophobes when they are speaking in that capacity, in the same way 'mad' is the conventional expression that some teenagers use as an intensifier when they’re emphasizing (...) that social identity. That is, racists don’t use slurs because they’re derogatory; slurs are derogatory because they’re the words that racists use. To use a slur is to exploit the Maxim of Manner (or Levinson’s M-Principle) to signal one’s affiliation with a group that has a disparaging attitude towards the slur’s referent. This account is sufficient to explain all the familiar properties of slurs, such as their speaker orientation and “nondetachability,” with no need of additional linguistic mechanisms. It also explains some features of slurs that are rarely if ever explored; for example the variation in tone and strength among the different slurs for a particular group, the existence of words we count as slurs, such as 'redskin', which almost all of their users consider to be respectful, and the curious absence in Standard English of any commonly used slurs—by which I mean words used to express a negative attitude toward an entire group—for Muslims and women. (shrink)

This paper discusses three approaches to the semantics of event nominalizations and adverbial modification: the Davidsonian account, the Kimian account, and the truthmaker account. It argues that a combination of all three accounts is needed for the semantics of the full range of event, trope, and state nominalizations in English.

Several philosophers have recently appealed to predication in developing their theories of cognitive representation and propositions. One central point of difference between them is whether they take predication to be forceful or neutral and whether they take the most basic cognitive representational act to be judging or entertaining. Both views are supported by powerful reasons and both face problems. Many think that predication must be forceful if it is to explain representation. However, the standard ways of implementing the idea give (...) rise to the Frege-Geach problem. Others think that predication must be neutral, if we’re to avoid the Frege-Geach problem. However, it looks like nothing neutral can explain representation. In this paper I present a third view, one which respects the powerful reasons while avoiding the problems. On this view predication is forceful and can thus explain representation, but the idea is implemented in a novel way, avoiding the Frege-Geach problem. The key is to make sense of the notion of grasping a proposition as an objectual act where the object is a proposition. (shrink)

Communication and content presents a comprehensive and foundational account of meaning based on new versions of situation theory and game theory. The literal and implied meanings of an utterance are derived from first principles assuming little more than the partial rationality of interacting agents. New analyses of a number of diverse phenomena – a wide notion of ambiguity and content encompassing phonetics, syntax, semantics, pragmatics, and beyond, vagueness, convention and conventional meaning, indeterminacy, universality, the role of truth in communication, semantic (...) change, translation, Frege’s puzzle of informative identities – are developed. Communication, speaker meaning, and reference are defined. Frege’s context and compositional principles are generalized and reconciled in a fixed-point principle, and a detailed critique of Grice, several aspects of Lewis, and some aspects of the Romantic conception of meaning are offered. Connections with other branches of linguistics, especially psycholinguistics, sociolinguistics, historical linguistics, and natural language processing, are explored. -/- The book will be of interest to scholars in philosophy, linguistics, artificial intelligence, and cognitive science. It should also interest readers in related fields like literary and cultural theory and the social sciences. (shrink)

This book combines insights from philosophy and linguistics to develop a novel framework for theorizing about linguistic meaning and the role of context in interpretation. A key innovation is to introduce explicit representations of context — assignment variables — in the syntax and semantics of natural language. The proposed theory systematizes a spectrum of “shifting” phenomena in which the context relevant for interpreting certain expressions depends on features of the linguistic environment. Central applications include local and nonlocal contextual dependencies with (...) quantifiers, attitude ascriptions, conditionals, questions, and relativization. The result is an innovative, philosophically informed compositional semantics compatible with the truth-conditional paradigm. (shrink)

In a recent paper, Peacocke (2001) continues an ongoing debate with McDowell and others, providing renewed arguments for the view that perceptual experiences and some other mental states have a particular kind of content, nonconceptual content. In this article I want to object to one of the arguments he provides. This is not because I side with McDowell in the ongoing debate about nonconceptual content; on the contrary, given the way I understand it, my views are closer to Peacocke’s, and (...) have been strongly influenced by him. It is just that I am not persuaded by the particular argument I will be questioning here. (shrink)

The paper develops an account of semantic notions which occupies a middle ground between antirealism and traditional forms of realism, using some ideas from the work of John McDowell. The position is based on a contrast between two points of view from which we might attempt to characterize our linguistic practices from the cosmic exile s point of view and from the midst of language as a going concern. The contrast is drawn in terms of whether our characterization of our (...) linguistic practices is taken to result from engagement in the very same practices that we are trying to characterize. The position takes realism to be correct when understood as an account from the internal perspective, but incorrect when taken as an account from the external perspective. However, the intelligibility of the question as to what our practices would look like from the cosmic exile s point of view is presented as problematic. (shrink)

Epistemic modal operators give rise to something very like, but also very unlike, Moore's paradox. I set out the puzzling phenomena, explain why a standard relational semantics for these operators cannot handle them, and recommend an alternative semantics. A pragmatics appropriate to the semantics is developed and interactions between the semantics, the pragmatics, and the definition of consequence are investigated. The semantics is then extended to probability operators. Some problems and prospects for probabilistic representations of content and context are explored.

This comment focuses on Chapter 9 of The Boundary Stones of Thought and the argument, due to William Tait, that Ian Rumfitt there sustains for the indeterminacy of set. I argue that Michael Dummett’s argument, based on the notion of indefinite extensibility and set aside by Rumfitt, provides a more powerful basis for the same conclusion. In addition, I outline two difficulties for the way Rumfitt attempts to save classical logic from acknowledged failures of the principle of bivalence, one specifically (...) for his treatment of the set-theoretic case, the other of more general bearing but especially germane to the case of vagueness. (shrink)

This paper defends a new norm of assertion: Assert that p only if you are in a position to know that p. We test the norm by judging its performance in explaining three phenomena that appear jointly inexplicable at first: Moorean paradoxes, lottery propositions, and selfless assertions. The norm succeeds by tethering unassertability to unknowability while untethering belief from assertion. The PtK‐norm foregrounds the public nature of assertion as a practice that can be other‐regarding, allowing asserters to act in the (...) best interests of their audience when psychological pressures would otherwise prevent them from communicating the knowable truth. (shrink)

Tim Crane's The Objects of Thought is, I think, a much needed corrective to standard ways that analytic philosophers think about nonexistence. It starts from our common sense thought and talk, and tries to carve out a position that can defend this starting point in the face of criticism. It is well-written, a pleasure to read, and largely clear. I would recommend it to anyone interested in the problems of nonexistence. In §1 I sketch Crane's central ideas about the nonexistent, (...) before turning to themes that I would like to have heard more about. In §2, I distinguish two problems of nonexistence, showing that whilst Crane solves one, he does not address the other. Although Crane did not seek to address both problems, I think we should recognize that there is this residual problem of nonexistence remaining. Next (§3), I argue that whilst Crane is correct to think that a negative free logic has to be rejected if we construe it as making a claim about grammatical subject-predicate sentences, we might be able to salvage it if we recognise a class of logical predicates. But whether this is possible or not, depends on the solution to the unaddressed problem of nonexistence. In the final two sections I briefly raise a concern about Crane's view of quantification, before making a suggestion about his view might be employed in addressing Geach's problem of intentional identity. (shrink)

This paper responds to recent work in the philosophy of Homotopy Type Theory by James Ladyman and Stuart Presnell. They consider one of the rules for identity, path induction, and justify it along ‘pre-mathematical’ lines. I give an alternate justification based on the philosophical framework of inferentialism. Accordingly, I construct a notion of harmony that allows the inferentialist to say when a connective or concept is meaning-bearing and this conception unifies most of the prominent conceptions of harmony through category theory. (...) This categorical harmony is stated in terms of adjoints and says that any concept definable by iterated adjoints from general categorical operations is harmonious. Moreover, it has been shown that identity in a categorical setting is determined by an adjoint in the relevant way. Furthermore, path induction as a rule comes from this definition. Thus we arrive at an account of how path induction, as a rule of inference governing identity, can be justified on mathematically motivated grounds. (shrink)

Many recent definitions of lying are based on the notion of what is said. This paper argues that says-based definitions of lying cannot account for lies involving non-literal speech, such as metaphor, hyperbole, loose use or irony. It proposes that lies should instead be defined in terms of assertion, where what is asserted need not coincide with what is said. And it points to possible implications this outcome might have for the ethics of lying.

The question of whether it is permissible to quantify into a modal context is re-examined from an empiricist perspective. Following Wiggins, it is argued that an ontology of continuants implies essentialism, but it is also argued, against Wiggins, that the only conception of necessity that we need to start out with is that of analyticity. Essentialism, of a limited kind, can then be actually generated from this. An exceptionally fine-grained identity criterion for continuants is defended in this context. The debate (...) between Wiggins and Ayer over the legitimacy of de re modality is then examined in the light of these results, and it is argued that my position is consistent with Ayer’s minimalist assumptions. It is also argued that non-continuants will not sustain the essential/accidental distinction, thus giving some concessions to the sceptics. It is also shown that there are close connections between these issues and the more modern two-dimensionalist way of disentangling the necessary from the a posteriori, and that the latter needs to learn from the former. (shrink)

Logic is concerned with the design or structure of arguments. It describes the forms of valid argument and is concerned with the public presentation and reception of arguments. Hence it has a close connection with politics and the public sphere, and with rhetoric as the science of persuasion. Philosophers have analysed the objective conditions of validation, that is, the justifiability of assertions about the world. This quest for objective and scientific validity in argumentation about the nature of reality dominated much (...) of the development of logic in the 20th century. Logical arguments are held to be successful as a result of the ‘force of reason’ rather than because one's opponents have been bribed or coerced. Logic involves the study of the abstract, deductive moves in argumentation rather than an empirical study of how actual arguments are conducted. However, there is also a tension between rhetoric and philosophy; Plato drew a clear distinction between knowledge and persuasion. Logic is intended to give security to the former. The historical drift of logic is towards abstraction, especially the use of mathematical forms of representation. The study of logic is an important component of any project on encyclopaedic knowledge, that is, with knowledge that circulates in the public sphere, but the globalization of culture has raised an important problem about the universalistic claims of traditions of logic, namely, are there different forms of logical reasoning? (shrink)

Since the appearance of Prior’s tonk, inferentialists tried to formulate conditions that a collection of inference rules for a logical constant has to satisfy in order to succeed in conferring an acceptable meaning to it. Dummett proposed a pair of conditions, dubbed ‘harmony’ and ‘stability’ that have been cashed out in terms of the existence of certain transformations on natural deduction derivations called reductions and expansions. A long standing open problem for this proposal is posed by quantum disjunction: although its (...) rules are intuitively unstable, they pass the test of existence of expansions. Although most authors view instabilities of this kind as too subtle to be detected by the requirement of existence of expansions, we first discuss a case showing that this requirement can indeed detect instabilities of this kind, and then show how the expansions for disjunction-like connectives have to be reformulated to rule out quantum disjunction. We show how the alternative pattern for expansions can be formulated for connectives and quantifiers whose rules satisfy a scheme originally developed by Prawitz and Schroeder-Heister. Finally we compare our proposal with a recent one due to Jacinto and Read. (shrink)

In the present paper, the Fregean conception of proof-theoretic semantics that I developed elsewhere will be revised so as to better reflect the different roles played by open and closed derivations. I will argue that such a conception can deliver a semantic analysis of languages containing paradoxical expressions provided some of its basic tenets are liberalized. In particular, the notion of function underlying the Brouwer–Heyting–Kolmogorov explanation of implication should be understood as admitting functions to be partial. As argued in previous (...) work, the correctness of an inference rule should not be defined in terms of transmission of provability, but rather should be grounded on weaker principles, which I show that are motivated by consideration about the content of the inversion principle. In the conclusion, I briefly address the issue of compositionality, arguing that the violation of compositionality induced by paradoxes are no worse than others that are regarded, at least by Dummett, as wholly unproblematic. (shrink)

The common thought that Husserl was committed to a Platonist ontology of essences, and to a mysterious epistemology that holds that we can ‘intuit’ these essences, has contributed substantially to his work being dismissed and marginalized in analytic philosophy. This paper aims to show that it is misguided to dismiss Husserl on these grounds. First, the author aims to explicate Husserl’s views about essences and how we can know them, in ways that make clear that he is not committed to (...) a traditional Platonism, or a mystical epistemology. Second, the author argues that Husserl’s approach was an important source for Carnap in “Empiricism, Semantics, and Ontology”, where Carnap tried to overcome the empiricists’ qualms about referring to abstracta. Finally, the author will argue that Husserl’s approach can be reconstructed in contemporary analytic terms by appeal to the idea of pleonastic transformations. By seeing both Husserl’s views and their influences on later analytic work more clearly, the hope is to build bridges and make clear that the approach is of lasting value and interest. (shrink)

According to Frege, we need a criterion for recognising when different sentences express the same thought to make progress in logic. He himself hedged his own equipollence criterion with a number of provisos. In the literature on Frege, little attention has been paid to the problems these provisos raise. In this paper, I will argue that Fregeans have ignored these provisos at their peril. For without these provisos, Frege’s criterion yields wrong results; but with the provisos in place, it is (...) of no use for Frege’s purposes. This is connected to what Frege took to be the ‘greatest difficulty for philosophy’: natural language sentences don’t just express thoughts; they convey evaluations and communicative hints. Because of this, Frege’s recognition criterion for thoughts cannot be applied to them and we cannot make logical progress by ‘recognising a thought in different linguistic guises’. (shrink)

In the opening to his late essay, Der Gedanke, Frege asserts without qualification that the word "true" points the way for logic. But in a short piece from his Nachlass entitled "My Basic Logical Insights", Frege writes that the word true makes an unsuccessful attempt to point to the essence of logic, asserting instead that "what really pertains to logic lies not in the word "true" but in the assertoric force with which the sentence is uttered". Properly understanding what Frege (...) takes to be at issue here is crucial for understanding his conception of logic and, in particular, what he takes to be its normative status vis-à-vis judgement, assertion, and inference. In this paper, I focus my attention on clarifying the latter claim and Frege's motivations for making it, exposing what I take to be a fundamental tension in Frege's conception of logic. Finally, I discuss whether Frege's deployment of the horizontal in his mature Begriffsschrift helps to resolve this tension. (shrink)

In this paper certain aspects of rigidity are studied through Hintikka’s work in modal semantics. The paper surveys Hintikka’s extraordinary struggles with rigidity from the late 50’s to this millennium. I argue that Hintikka’s many ambivalent remarks concerning rigidity become more comprehensible if, first, three different variants of rigidity are distinguished and, second, Hintikka’s largely implicit doctrine of semantic neo-Kantianism is made explicit.

An adequate semantics for generic sentences must stake out positions across a range of contested territory in philosophy and linguistics. For this reason the study of generic sentences is a venue for investigating different frameworks for understanding human rationality as manifested in linguistic phenomena such as quantification, classification of individuals under kinds, defeasible reasoning, and intensionality. Despite the wide variety of semantic theories developed for generic sentences, to date these theories have been almost universally model-theoretic and representational. This essay outlines (...) a range of proof-theoretic analyses for characterizing generics. Particular attention is given to an expressivist proof-theory that can be traced to 1) work on logical syntax that Carnap undertook prior to his turn toward truth-conditional model theory in the late 1930s, and 2) research on sequent calculi and natural deduction systems that originate in work from Gentzen and Prawitz.1. (shrink)

The main purpose of this article is to argue that Crispin Wright and Bob Hale have not succeeded in overcoming the well-known ‘Julius Caesar objection’ to their proposed definition of the phrase ‘the number of’. It is hoped that the article will also help to clarify what would actually be needed in order to overcome this objection.

The notion of harmony has played a pivotal role in a number of debates in the philosophy of logic. Yet there is little agreement as to how the requirement of harmony should be spelled out in detail or even what purpose it is to serve. Most, if not all, conceptions of harmony can already be found in Michael Dummett's seminal discussion of the matter in The Logical Basis of Metaphysics. Hence, if we wish to gain a better understanding of the (...) notion of harmony, we do well to start here. Unfortunately, however, Dummett's discussion is not always easy to follow. The following is an attempt to disentangle the main strands of Dummett's treatment of harmony. The different variants of harmony as well as their interrelations are clarified and their individual shortcomings qua interpretations of harmony are demonstrated. Though no attempt is made to give a detailed alternative account of harmony here, it is hoped that our discussion will lay the ground for an adequate rigorous treatment of this central notion. (shrink)

According to Michael Dummett, we may think of the meaning of an expression as given by the principles governing the use we make of it. The principles regulating our linguistic practices can then be grouped into two broad categories (Dummett 1973: 396, 1991: 211). We might state them as follows: I-principles: state the circumstances under which an assertion of a sentence containing the expression in question is warranted. E-principles: state the consequences of asserting a sentence containing the expression. In the (...) case of the logical constants, we may associate a constant's I-principles with the set of its introduction rules and its E-principles with the set of its elimination rules (Dummett 1973: 454).1. (shrink)

According to a ‘Straight’ reading of Elizabeth Anscombe’s ‘The First Person’, she holds a radically non-referring view of ‘I’. Specifically, ‘I’ is analogous to the expletive ‘it’ in ‘It’s raining’. I argue that this is not her conclusion. Her substantive view, rather is that if what you mean by ‘reference’ is a certain rich and recherché notion tracing to Frege, then ‘I’ is not a referring term. Her methodological point is that one shouldn’t be ‘bewitched by language’ into thinking that (...) ‘I’, because of its syntax, must exhibit ‘reference’ in this sense. (shrink)

Surprisingly, the fact that the speaker is lying is sometimes common knowledge between everyone involved. Strangely, we condemn these bald-faced lies more severely than disguised lies. The wrongness of lying springs from the intent to deceive – just the feature missing in the case of bald-faced lies. These puzzling lies arise systematically when assertions are forced. Intellectual duress helps to explain another type of non-deceptive false assertion : lying to yourself. In the end, I conclude that the apparent intensity of (...) our disapproval of non-deceptive lies is a rhetorical illusion. (shrink)

Achille Varzi [2000] has suggested a nice response to the familiar argument purporting to establish the existence of perfectly coinciding objects – objects which, if they existed, would trouble mereological extensionality and the “Minimalist View” of ontology. The trick is to defend Minimalism without tarnishing its status as a meta-principle: that is, without making any firstorder ontological claims. Varzi’s response, though seeming to allow for a comfortable indifference about metaphysical matters peripheral to Minimalism, is not general enough to stave off (...) attacks on extensionality from more sophisticated corners. However, Varzi’s argument bears a kinship with a more general argument against coincident objects. I consider how such an argument sits with the meta-doctrinal status of Minimalism. (shrink)

It is sometimes argued that certain sentences of natural language fail to express truth conditional contents. Standard examples include e.g. Tipper is ready and Steel is strong enough. In this paper, we provide a novel analysis of truth conditional meaning using the notion of a question under discussion. This account explains why these types of sentences are not, in fact, semantically underdetermined, provides a principled analysis of the process by which natural language sentences can come to have enriched meanings in (...) context, and shows why various alternative views, e.g. so-called Radical Contextualism, Moderate Contextualism, and Semantic Minimalism, are partially right in their respective analyses of the problem, but also all ultimately wrong. Our analysis achieves this result using a standard truth conditional and compositional semantics and without making any assumptions about enriched logical forms, i.e. logical forms containing phonologically null expressions. (shrink)

Of the dozens of purported solutions to the liar paradox published in the past fifty years, the vast majority are "traditional" in the sense that they reject one of the premises or inference rules that are used to derive the paradoxical conclusion. Over the years, however, several philosophers have developed an alternative to the traditional approaches; according to them, our very competence with the concept of truth leads us to accept that the reasoning used to derive the paradox is sound. (...) That is, our conceptual competence leads us into inconsistency. I call this alternative the inconsistency approach to the liar. Although this approach has many positive features, I argue that several of the well-developed versions of it that have appeared recently are unacceptable. In particular, they do not recognize that if truth is an inconsistent concept, then we should replace it with new concepts that do the work of truth without giving rise to paradoxes. I outline an inconsistency approach to the liar paradox that satisfies this condition. (shrink)

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

In Plato’s Euthyphro, Euthyphro proposes to analyse the pious as that which is beloved of the gods. In the most widely discussed argument of the dialogue, Socrates tries to show that Euthyphro’s analysis fails. The argument crucially involves an ingenious use of the explanatory connective ‘because’. This paper presents a detailed reconstruction and defence of the argument. It starts with a rigorous analysis of its logical form, explains and justifies its premises, and closes with a defence of the argument against (...) the strongest common objection. (shrink)

Expressive-Assertivism, a metaethical theory championed by Daniel Boisvert, is sometimes considered to be a particularly promising form of hybrid expressivism. One of the main virtues of Expressive-Assertivism is that it seems to offer a simple solution to the Frege-Geach problem. I argue, in contrast, that Expressive-Assertivism faces much the same challenges as pure expressivism.

A detailed interpretation is provided of the ‘Gray's Elegy’ passage in Russell's ‘On Denoting’. The passage is suffciently obscure that its principal lessons have been independently rediscovered. Russell attempts to demonstrate that the thesis that definite descriptions are singular terms is untenable. The thesis demands a distinction be drawn between content and designation, but the attempt to form a proposition directly about the content (as by using an appropriate form of quotation) inevitably results in a proposition about the thing designated (...) instead of the content expressed. In light of this collapse, argues Russell, the thesis that definite descriptions are singular terms must accept that all propositions about a description's content represent it by means of a higher-level descriptive content, so that knowledge of a description's content is always ‘by description’, not ‘by acquaintance’. This, according to Russell, renders our cognitive grip on definite descriptions inexplicable. Separate responses on behalf of Fregeans and Millians are offered. (shrink)

ABSTRACTIn reply to Linnebo, I defend my analysis of Tait's argument against the use of classical logic in set theory, and make some preliminary comments on Linnebo's new argument for the same conclusion. I then turn to Shapiro's discussion of intuitionistic analysis and of Smooth Infinitesimal Analysis. I contend that we can make sense of intuitionistic analysis, but only by attaching deviant meanings to the connectives. Whether anyone can make sense of SIA is open to doubt: doing so would involve (...) making sense of mathematical quantities whose relationship to zero and to one another is inherently indeterminate. (shrink)

Revenge arguments purport to show that any proposed solution to the semantic paradoxes generates new paradoxes that prove that solution to be inadequate. In this paper, I focus on revenge arguments that employ the model-theoretic semantics of a target theory and I argue, contra the current revenge-theoretic wisdom, that they can constitute genuine expressive limitations. I consider the anti-revenge strategy elaborated by Field and argue that it does not offer a way out of the revenge problem. More generally, I argue (...) that the difference between ‘standard’ and ‘revenge’ paradoxes is ill-conceived and should be abandoned. This will contribute to show that the theories that provide a uniform account of truth and other semantic notions are the ones best equipped to avoid the paradoxes altogether—‘standard’ and ‘revenge’ alike. (shrink)

Doxastic involuntarists have paid insufficient attention to two debates in contemporary epistemology: the permissivism debate and the debate over norms of assertion and belief. In combination, these debates highlight a conception of belief on which, if you find yourself in what I will call an ‘equipollent case’ with respect to some proposition p, there will be no reason why you can’t believe p at will. While doxastic involuntarism is virtually epistemological orthodoxy, nothing in the entire stock of objections to belief (...) at will blocks this route to doxastic voluntarism. Against the backdrop of the permissivism debate and the literature on norms of belief and assertion, doxastic involuntarism emerges as an article of faith, not the obvious truth it’s usually purported to be. (shrink)

Conceptual role semanticists argue that concepts are individuated in terms of their roles in cognition. Some prominent conceptual role semanticists argue for the further claim that concepts are individuated in terms of their rational roles in cognition. This further claim places substantive normative constraints on concept-constitutive roles. I argue that conceptual role semanticists can and should resist the claim that conceptual roles must be specified in inherently normative terms.