I hope I have convinced the reader that DR theory offers at least some exciting potential when applied to the semantics of belief reports. It differs considerably from other approaches, and it makes intuitively acceptable predictions that other theories do not. The theory also provides a novel approach to the semantics of other propsitional attitude reports. Further, DR theory enables one to approach the topic of anaphora within belief and other propositional attitude contexts in a novel way, thus combining the (...) semantics developed here with one of the theory's original motivations (Kamp, 1981a). However, these are unfortunately topics that I must reserve for another time. (shrink)

This essay is about a theory of belief and a theory of belief reports formulated within the framework of DR theory. DR theory’s treatment of definite and indefinite noun phrases leads to a superior treatment of belief reports involving singular terms. But it also provides something of even greater potential benefit to a treatment of belief: a theory of how recipients recover verbally encoded information and of what form such information must take. The use of this account of verbally encoded (...) information causes a distinctive treatment of belief to emerge. I will focus here on an analysis within this framework of how beliefs arise from the acceptance of verbal information and how the process of belief formation interacts with the process of belief report interpretation. (shrink)

We review Potts' influential book on the semantics of conventional implicature , offering an explication of his technical apparatus and drawing out the proposal's implications, focusing on the class of CIs he calls supplements. While we applaud many facets of this work, we argue that careful considerations of the pragmatics of CIs will be required in order to yield an empirically and explanatorily adequate account.

The central concern of this paper is the nature of the relation between words on the one hand and their occurrences on the other. I argue here that while Kaplan's “common currency” conception of words is immune to much of the criticism to which Cappelen has subjected it, it runs afoul of the role words play in communication. And I sketch an alternative conception – the type‐continuant model – which shares the virtues but avoids the vices of Kaplan's conception.

In a series of articles, Kit Fine presents some highly compelling objections to monism, the doctrine that spatially coincident objects are identical. His objections rely on Leibniz’s Law and linguistic environments that appear to be immune to the standard charge of non-transparency and substitution failure. In this paper, I respond to Fine’s objections on behalf of the monist. Following Benjamin Schnieder, I observe that arguments from Leibniz’s Law are valid only if they involve descriptive, rather than metalinguistic, negation. Then I (...) show that the monist is justified in treating the negation in Fine’s objections as metalinguistic in nature. Along the way I make a few methodological remarks about the interaction between the study of natural language and metaphysics. I also present evidence that some of the linguistic environments which Fine relies on are, contrary to appearances, non-transparent. (shrink)

This paper introduces Richard Montague's theory of determiner phrases to the philosophically oriented readers who are familiar with Russell's traditional treatment. Determiner phrases include not only quantifier phrases in the narrow sense, such as every man, some woman, and nothing, but also DP conjunctions such as Adam and Betty and Adam or Betty, and even proper names such as Adam and Betty. Montague treats all determiner phrases as belonging to type t, i.e., the type of functions from properties of individuals (...) to truth values. This paper also introduces the simply typed lambda-calculus for the explication of Montague's theory. Two major problems with Montague's theory, one more philosophical and the other more linguistic, are discussed. (shrink)

This paper sets forth a new theory of quantifiers and term connectives, called shadow theory , which should help simplify various semantic theories of natural language by greatly reducing the need of Montagovian proper names, type-shifting, and λ-conversion. According to shadow theory, conjunctive, disjunctive, and negative noun phrases such as John and Mary , John or Mary , and not both John and Mary , as well as determiner phrases such as every man , some woman , and the boys (...) , are all of semantic type e and denote individual-like objects, called shadows — conjunctive , disjunctive , or negative shadows, such as John-and-Mary, John-or-Mary, and not-(John-and-Mary). There is no essential difference between quantification and denotation: quantification is nothing but denotation of shadows. Individuals and shadows constitute a Boolean structure. Formal language LSD (Language for Shadows with Distributivity), which takes compound terms to denote shadows, is investigated. Expansions and enrichments of LSD are also considered toward the end of the paper. (shrink)

Deflationists cannot make sense ofthe notion of referential indeterminacybecause they deny the existence of substantivereference. One way for them to make sense ofthe objective existence of linguisticindeterminacy is by embracing theworldly (or objectual) view ofindeterminacy, the view that indeterminacyexists not in reference relations but in the(non-linguistic) world itself. On this view,the entire world is divided into precisified worlds, just as it is dividedinto temporal slices and (arguably) alethicpossible worlds. Supervaluationism proves tobe neutral with respect to the debate betweenthe worldly view (...) and the referential view ofindeterminacy. (shrink)

There is no doubt that the model presented here is incomplete. Many important categories, particularly negation and the adverbials, have been entirely ignored, and the treatment of Tense and the affixes is certainly inadequate. It also remains to be seen how the many constructions that have been ignored here are to be accommodated within the framework that has been outlined. However, the fact that a standard categorial lexicon, plus the four rule schemata, seems to come close to exhaustively specifying the (...) main clause constructions of English, and also seems to explain a number of major constraints on transformations, encourages us to compare the theory with certain alternatives, and to examine its broader implications. (shrink)

This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform (...) program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. (shrink)

If physicalism is true, everything is physical. In other words, everything supervenes on, or is necessitated by, the physical. Accordingly, if there are logical/mathematical facts, they must be necessitated by the physical facts of the world. The aim of this paper is to clarify what logical/mathematical facts actually are and how these facts can be accommodated in a purely physical world.

In this paper I argue that there is a class of attitudes that have questions (rather than propositions or something else) as contents.

This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence.

In this paper, I support a hybrid view regarding the metaphysics of worlds. I endorse Lewisian Modal Realism for possible worlds (LMR). My aim is to come up with a hybrid account of impossible worlds that provides all the plenitude of impossibilities for all fine-grained intentional contents. I raise several challenges for such a plenitudinous hybrid theory. My version of hybrid modal realism builds impossible worlds as set-theoretic constructions out of genuine individuals and sets of them, that is, as set-theoretic (...) constructions from parts and sets of parts of genuine Lewisian worlds. _Structured worlds_ are defined as sets of tuples: structured entities built out of Lewisian ‘raw material’. These structured worlds are ersatz worlds, some of which are impossible. I claim that propositions must be sets of worlds rather than members of sets. Once the construction is in place, I evaluate the proposal and show that my hybrid account is able to supply a plenitude of impossibilities and thus giving the resources to make all the hyperintensional distinctions we are looking for, whilst remaining Lewisian-conservative. (shrink)

Given the significant exculpatory power that ignorance has when it comes to moral, legal, and epistemic transgressions, it is important to have an accurate understanding of the concept of ignorance. According to the Standard View of factual ignorance, a person is ignorant that p whenever they do not know that p, while on the New View, a person is ignorant that p whenever they do not truly believe that p. On their own though, neither of these accounts explains how ignorance (...) can often be a degreed notion—how we can sometimes be slightly ignorant, quite ignorant, or completely ignorant that p. In this paper, I will argue that there is a route for advocates of the Standard View and the New View to accommodate the gradability of ignorance. On the view I defend, ‘ignorant’ picks out everyone that is ignorant to some degree, making it possible that ignorance can be both degreed and characterized as a lack of knowledge or true belief. Even though we can be ignorant to a greater or lesser extent, the only way to avoid being ignorant that p is to know or truly believe. (shrink)

Self-locating attitudes and assertions provide a challenge to the received view of mental and linguistic intentionality. In this paper I try to show that the best way to meet this challenge is to adopt relativistic, centred possible worlds accounts for both belief and communication. First, I argue that self-locating beliefs support a centred account of belief. Second, I argue that self-locating utterances support a complementary centred account of communication. Together, these two claims motivate a unified centred conception of belief and (...) communication. (shrink)

This is the most comprehensive book ever published on philosophical methodology. A team of thirty-eight of the world's leading philosophers present original essays on various aspects of how philosophy should be and is done. The first part is devoted to broad traditions and approaches to philosophical methodology. The entries in the second part address topics in philosophical methodology, such as intuitions, conceptual analysis, and transcendental arguments. The third part of the book is devoted to essays about the interconnections between philosophy (...) and neighbouring fields, including those of mathematics, psychology, literature and film, and neuroscience. (shrink)

This paper concerns the role of the structural properties of representations in determining the nature of their content. I take as a starting point Fodor's (2007) and Heck's (2007) recent arguments making the iconic structure of perceptual representations essential in establishing their content as content of a different (nonconceptual) kind. I argue that the prima facie state–content error this strategy seems to display is nothing but a case of “state–content error error,” i.e., the mistake of considering that the properties that (...) characterize the type of content certain representations have are indeed independent of their structural properties. I also consider another objection to the general strategy, namely that it falls short of showing that the nonconceptual content of perceptual experiences thus established is the kind of content that figures in true explanations of intentional behavior. I concede this point in respect of Fodor's version of the strategy, while denying that it has any bearing on Heck's approach. The success of this objection in Heck's case ultimately depends, I argue, upon an unjustified commitment to a certain empirically suspect model of perception. (shrink)

What is objectivity? What would it take to have objective representations and do we have what it takes? This paper aims to contribute to answering these questions. To this end, it isolates one relevant sense of objectivity and proposes a generalization of standard frameworks of representational content in order to engage with the question in a way that is rhetorically fair. Armed with a general conception of perspectival content, taken from the literature on centred or de se content, the paper (...) articulates one necessary condition for objective representation: the possession of objective concepts and therefore objective contents. Two ways of meeting this condition are discussed in an exploratory way. (shrink)

In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions than predicates (...) of taste and by proposing a general solution to the problem raised by it on behalf of the relativist. The core claim of the solution (" multiple indexing ") is that utterances of sentences containing perspectival expressions should be evaluated with respect to (possibly infinite) sequences of perspective parameters. (shrink)

I defend the claim that it is possible for thoughts to be context-sensitive. Assuming that a thought is a sentence of Mentalese and content is a function from indices to truth-values, then a thought, T, is context-sensitive IFF at least one of the following three conditions are met: T exhibits character-underdeterminacy, where T is character underdetermined iff a component of T makes an explicit reference to the context to establish content. T exhibits type-underdeterminacy, where T is type underdetermined iff there (...) are tokens of T that have distinct truth-values. T is token-underdetermined, where T is token underdetermined iff for some possible states of affairs its truth-value is indeterminate. Additionally, there must be a mechanism by which the content of T can be determined by appeal to the context. Otherwise T is not sensitive to the context. The most significant objection to the possibility of context-sensitive thoughts comes from a regress argument. The concern is that any process of removing context-sensitivity from a thought will token an additional thought. If that further thought is context-sensitive, then another thought will have to be tokened. This process will only terminate when a non-context-sensitive thought is arrived at. Yet this seems to show that context-sensitivity in thought, if possible, can only be a contingent, detachable feature of thoughts. To counter this argument, I will present three versions of context-sensitive thought, mirroring each of -. These views make use of a range of relationships between thoughts and their contents or extensions that are affected by the context, but I will argue they do not require the generation of an additional thought. This provides a range of views on which thoughts can be treated as essentially context-sensitive. (shrink)

This paper revisits some foundational questions concerning the abstract representation of a discourse context. The context of a conversation is represented by a body of information that is presumed to be shared by the participants in the conversation – the information that the speaker presupposes a point at which a speech act is interpreted. This notion is designed to represent both the information on which context-dependent speech acts depend, and the situation that speech acts are designed to affect, and so (...) to be a representation of context that is appropriate for explaining the interaction of context and the contents expressed in them. After reviewing the motivating ideas and the outlines of the apparatus, the paper responds to a criticism of the framework, and considers the way it can help to clarify some phenomena concerning pronouns with indefinite antecedents. (shrink)

On two standard views of vagueness, vagueness as to whether Harry is bald entails that nobody knows whether Harry is bald—either because vagueness is a type of missing truth, and so there is nothing to know, or because vagueness is a type of ignorance, and so even though there is a truth of the matter, nobody can know what that truth is. Vagueness as to whether Harry is bald does entail that nobody clearly knows that Harry is bald and that (...) nobody clearly knows that Harry is not bald. But it does not entail that nobody knows that Harry is bald or that nobody knows that Harry is not bald. Hence, the two standard views of vagueness are mistaken. (shrink)

Supervaluationism is often described as the most popular semantic treatment of indeterminacy. There’s little consensus, however, about how to fill out the bare-bones idea to include a characterization of logical consequence. The paper explores one methodology for choosing between the logics: pick a logic thatnorms beliefas classical consequence is standardly thought to do. The main focus of the paper considers a variant of standard supervaluational, on which we can characterizedegrees of determinacy. It applies the methodology above to focus ondegree logic. (...) This is developed first in a basic, single-premise case; and then extended to the multipremise case, and to allowdegreesof consequence. The metatheoretic properties of degree logic are set out. On the positive side, the logic is supraclassical—all classical valid sequents are degree logic valid. Strikingly, metarules such as cut and conjunction introduction fail. (shrink)

Regular polysemes are sets of ambiguous words that all share the same relationship between their meanings, such as CHICKEN and LOBSTER both referring to an animal or its meat. To probe how a distributional semantic model, here exemplified by bidirectional encoder representations from transformers (BERT), represents regular polysemy, we analyzed whether its embeddings support answering sense analogy questions similar to “is the mapping between CHICKEN (as an animal) and CHICKEN (as a meat) similar to that which maps between LOBSTER (as (...) an animal) to LOBSTER (as a meat)?” We did so using the LRcos model, which combines a logistic regression classifier of different categories (e.g., animal vs. meat) with a measure of cosine similarity. We found that (a) the model was sensitive to the shared structure within a given regular relationship; (b) the shared structure varies across different regular relationships (e.g., animal/meat vs. location/organization), potentially reflective of a “regularity continuum;” (c) some high-order latent structure is shared across different regular relationships, suggestive of a similar latent structure across different types of relationships; and (d) there is a lack of evidence for the aforementioned effects being explained by meaning overlap. Lastly, we found that both components of the LRcos model made important contributions to accurate responding and that a variation of this method could yield an accuracy boost of 10% in answering sense analogy questions. These findings enrich previous theoretical work on regular polysemy with a computationally explicit theory and methods, and provide evidence for an important organizational principle for the mental lexicon and the broader conceptual knowledge system. (shrink)

John MacFarlane explores how we might make sense of the idea that truth is relative. He provides new, satisfying accounts of parts of our thought and talk that have resisted traditional methods of analysis, including what we mean when we talk about what is tasty, what we know, what will happen, what might be the case, and what we ought to do.

A verb is transitive iff it usually occurs with a direct object, and in such occurrences it is said to occur transitively . Thus ‘ate’ occurs transitively in ‘I ate the meat and left the vegetables’, but not in ‘I ate then left’ (perhaps it is not the same verb ‘left’ in these two examples, but it seems to be the same ‘ate’). A verb is intensional if the verb phrase (VP) it forms with its complement is anomalous in at (...) least one of three ways: (i) interchanging expressions in the complement referring to the same entity can change the truth-value of the sentence embedding the VP; (ii) the VP admits of a special “unspecific” reading if it contains a quantifier, or a certain type of quantifier; and (iii) the normal existential commitments of names and existential quantifiers in the complement are suspended even when the embedding sentence is negation-free. (shrink)

Is there an interesting relation between the Preface paradox and the Sorites paradox that might be used to illuminate either or both of those paradoxes and the phenomena of rationality and vagueness with which they, respectively, are bound up? In particular, if we consider the analogy alongside a familiar response to the Preface Paradox that employs degrees of belief, does this give any support to the thought that we should adopt some kind of degree-theoretic treatment of vagueness and the sorites? (...) This chapter argues that it does not; indeed exploring the disanalogies contributes to a case against such a treatment of vagueness more generally. Among other views, it considers Edgington’s account of vagueness that employs a probabilistic structure of “verities”. It then contends that appeal to the framework of supervaluationism yields a better guide to reasoning in vague language than the degree-theoretic treatment can sustain. (shrink)

In this paper I propose three steps to overcome the force-content dichotomy and dispel the Frege point. First, we should ascribe content to force indicators. Through basic assertoric and directive force indicators such as intonation, word order and mood, a subject presents its position of theoretical or practical knowledge of a state of affairs as a fact, as something that is the case, or as a goal, as something to do. Force indicators do not operate on truth- or satisfaction evaluable (...) entities as on the traditional view, but complete and unify them. Second, higher-level acts such as interrogative, logical and fictional acts create higher-level unities that may suspend commitment to the assertions and directions they operate on. But they do not cancel their force, but transfer the meaning of force indicators into the new unities they create. For example, in the context of asking a theoretical or practical question, the assertoric or directive force indicator now presents the kind of knowledge the subject is seeking. Third, the Frege point conflates different varieties of force. We neither need Frege’s assertion sign, nor Hare’s neustic, nor Hanks’s cancellation sign, but only ordinary force indicators and interrogative, logical and fictional markers. Propositions are not forceless contents to which a subject commits by forceful acts, but forceful acts put forward by higher-level acts which may suspend commitment to them. (shrink)

Jerrold J. Katz often explained his semantic theory by way of an analogy with physical atomism and an attendant analogy with chemistry. In this chapter, I track the origin and uses of these analogies by Katz, both in explaining and defending his decompositional semantic theory, through the various phases of his work throughout his career.

The notions of belief and truth frequently interact in philosophical discourse but, surprisingly, a coherent semantics for such discourse is still wanting. Indeed, a number of puzzles stand in way of a satisfactory semantic account of the notion of truth in doxastic contexts. In this paper we discuss these puzzles and develop a more satisfactory semantic account that combines ideas from contextualist theories of attitude reports and Awareness semantics for non-idealized belief.

In diesem Aufsatz argumentiere ich, dass die Standardauffassung von Propositionen und propositionalen Einstellungen inadäquat ist, ein Artefakt der gegenwärtig herrschenden theorielastigen Auffassung von Intentionalität, Sprache und Rationalität, und skizziere eine alternative Auffassung. Im folgenden Abschnitt belege ich erst einmal die These der Theorielastigkeit anhand einiger Beispiele vor allem aus der gegenwärtigen analytischen Philosophie. Der dritte Abschnitt erklärt, wie diese Theorielastigkeit im Standardverständnis von Propositionen und propositionalen Einstellungen verkörpert ist. Im vierten Abschnitt argumentiere ich, dass dieses Standardverständnis der Proposition zwei unvereinbare (...) Rollen zuweist. Sie kann nicht sowohl einen Sachverhalt repräsentieren, der Gegenstand praktischer genauso wie theoretischer Stellungnahmen sein kann, als auch wie eine theoretische Stellungnahme Wahrheitswertträger sein. In den folgenden Abschnitten versuche ich eine partielle Diagnose, wie es zu dieser Auffassung kommen kann: gewisse Formen der Neutralisierung von Stellungnahmen durch das bloße „in den Raum stellen“ (fünfter Abschnitt), durch fiktionale Kontexte (sechster Abschnitt) und den Kontext logischer Verknüpfungen (der so genannte „Frege-Punkt“; siebter Abschnitt) werden verwechselt mit der Neutralität zwischen dem Praktischen und Theoretischen, zwischen Wollen und Wahrheit, die die Standardauffassung erfordern würde. Der achte Abschnitt skizziert in groben Umrissen ein alternatives Bild. Demnach wird eine Repräsentation eines Sachverhalts erst durch die dazu kommende theoretische oder praktische Position zu einer Stellungnahme und damit zum Träger eines Erfüllungswerts. Die Bereiche des Praktischen und des Theoretischen sind parallel strukturiert und unterschieden sich im Wesentlichen nur durch die Verschiedenheit der Passrichtungen. Grundlegende rationale Operationen wie Deduktion, Abduktion und Induktion können auf praktischen Stellungnahmen genauso ausgeführt werden wie auf theoretischen. Im neunten Abschnitt verorte ich die tieferen Wurzeln der Theorielastigkeit in dem Verlangen, das Praktische an die dem Theoretischen eigene Form der Objektivität zu assimilieren. Dieses Verlangen muss aber fruchtlos bleiben, und die dem Praktischen eigene Form der Objektivität wird so verfehlt. Der letzte Abschnitt deutet an, wie sich Werturteile in dem skizzierten Rahmen deuten lassen. (shrink)

In this paper, I present a categorial theory of meaning which asserts that the meaning of a sentence is the function from the actualization of some potentiality or the potentiality of some actuality to the truth of the sentence. I argue that it builds on the virtues of David Lewis’s Possible World Semantics but advances beyond problems that Lewis’s theory faces with its distinctly Aristotelian turn toward actuality and potentiality.

In Pantsar (2014), an outline for an empirically feasible epistemological theory of arithmetic is presented. According to that theory, arithmetical knowledge is based on biological primitives but in the resulting empirical context develops an essentially a priori character. Such contextual a priori theory of arithmetical knowledge can explain two of the three characteristics that are usually associated with mathematical knowledge: that it appears to be a priori and objective. In this paper it is argued that it can also explain the (...) ... (shrink)

Relativized Metaphysical Modality (RMM: Murray and Wilson, 'Relativized metaphysical modality', Oxford Studies in Metaphysics, 2012; Murray, Perspectives on Modal Metaphysics, 2017) exploits 'two-dimensionalist' resources to metaphysical, rather than epistemological, ends: the second dimension offers perspective-dependence without contingency, diverting attacks on 'Classical' analyses of modals (in effect, analyses validating S5 and the Barcan Formulae). Here, we extend the RMM program in two directions. First, we harvest resources for RMM from Lewis's 1980 'Context--Index' (CI) framework: (a) the ban in CI on binding (...) into context-arguments (akin to Kaplan's 'monstrosity' ban) projects a bright line between perspective-dependence and contingency; and (b) CI-postulated connections among meaning, content, truth, argument-structure, context, and modality collectively generate a 'Generalized Humphrey Problem' for any non-Classical analysis (examples covered include appeals to accessibility, contingent domains, and counterpart relations). Second, we sharpen the tools of RMM-based metaphysical analysis, and extend their domain of coverage across familiar anomalies for Classical modals: we revisit earlier RMM-based bulwarks for S5 (against 'Chisholm's Paradox' for moderate flexibility of essence, and nomological necessitarianism); and we now similarly shore up the Barcan Formulae (against the apparent contingency of existence and nonexistence). (shrink)

Do component forces exist? I argue that the answer lies in the affirmative, on historical and operational grounds.

Can identity itself be vague? Can there be vague objects? Does a positive answer to either question entail a positive answer to the other? In this paper we answer these questions as follows: No, No, and Yes. First, we discuss Evans’s famous 1978 argument and argue that the main lesson that it imparts is that identity itself cannot be vague. We defend the argument from objections and endorse this conclusion. We acknowledge, however, that the argument does not by itself establish (...) either that there cannot be vague objects or that there cannot be identity statements that are indeterminate for ontic reasons. And we further acknowledge that it does not by itself establish that there cannot be identity statements that are indeterminate in virtue of the existence of vague objects. We then go on to argue that, despite this, one who believes in vague objects cannot endorse Evans’s argument. To establish this we offer supplementary arguments that show that if vague objects exist then identity is vague, and that if identity is vague then vague objects exist. Finally we draw attention to an argument parallel to that of Evans’s, but safer, which can be employed against the putative ontic indeterminacy in identity of vague objects which can be differentiated by identity-free properties. (shrink)

A naïve perspective on the world suggests that the world we live in is full of vague objects. In this chapter, a version of the supervaluationist framework will be proposed to provide a systematic conception of such a naïve perspective. Precisifications of a vague object will be characterized as objects that, were they actual objects, every determinate truth about the vague object would be true about them. It will be argued that this view is more effective than other versions of (...) supervaluationism at accommodating commonsensical and metaphysical considerations. The view leaves room for vague identity as a kind of “no fact of the matter.” Thus, Evans’ argument against ontic vagueness fails in a natural way. (shrink)

In this paper, I defend the metalinguistic solution to the problem of mathematical omniscience for the possible-worlds account of propositions by combining it with a computational model of knowledge and belief. The metalinguistic solution states that the objects of belief and ignorance in mathematics are relations between mathematical sentences and what they express. The most pressing problem for the metalinguistic strategy is that it still ascribes too much mathematical knowledge under the standard possible-worlds model of knowledge and belief on which (...) these are closed under entailment. I first argue that Stalnaker's fragmentation strategy is insufficient to solve this problem. I then develop an alternative, computational strategy: I propose a model of mathematical knowledge and belief adapted from the algorithmic model of Halpern et al. which, when combined with the metalinguistic strategy, entails that mathematical knowledge and belief require computational abilities to access metalinguistic information, and thus aren't closed under entailment. As I explain, the computational model generalizes beyond mathematics to a version of the functionalist theory of knowledge and belief that motivates the possible-worlds account in the first place. I conclude that the metalinguistic and computational strategies yield an attractive functionalist, possible-worlds account of mathematical content, knowledge, and inquiry. (shrink)

In this paper, I focus on AIs as very different, or at least potentially very different, kinds of language users from what humans are. Is the metasemantics for AI language use different, in the way Cappelen and Dever argue? Is it reasonable to think that AIs will come to use languages importantly different from human languages, what I call alien languages?

I propose a version of the act‐type theory of propositions, following Hanks and Soames. According to the theory, propositions are types of act of predication. The content of a sentence is the type of such act performed when that sentence is uttered. A consequence of this theory is that the structure of the content of a sentence will mirror the structure of that sentence. I defend this consequence of the theory from two important objections. I then argue that this theory (...) is well motivated because it can be part of a theory of what is said. (shrink)

Proof, Computation and Agency: Logic at the Crossroads provides an overview of modern logic and its relationship with other disciplines. As a highlight, several articles pursue an inspiring paradigm called 'social software', which studies patterns of social interaction using techniques from logic and computer science. The book also demonstrates how logic can join forces with game theory and social choice theory. A second main line is the logic-language-cognition connection, where the articles collected here bring several fresh perspectives. Finally, the book (...) takes up Indian logic and its connections with epistemology and the philosophy of science, showing how these topics run naturally into each other. (shrink)

This volume is a collection of some of the most important philosophical papers by Peter Gärdenfors. Spanning a period of more than 20 years of his research, they cover a wide ground of topics, from early works on decision theory, belief revision and nonmonotonic logic to more recent work on conceptual spaces, inductive reasoning, semantics and the evolutions of thinking. Many of the papers have only been published in places that are difficult to access. The common theme of all the (...) papers is the dynamics of thought. Several of the papers have become minor classics and the volume bears witness of the wide scope of Gärdenfors’ research and of his crisp and often witty style of writing. The volume will be of interest to researchers in philosophy and other cognitive sciences. (shrink)

The book is about logical analysis of natural language. Since we humans communicate by means of natural language, we need a tool that helps us to understand in a precise manner how the logical and formal mechanisms of natural language work. Moreover, in the age of computers, we need to communicate both with and through computers as well. Transparent Intensional Logic is a tool that is helpful in making our communication and reasoning smooth and precise. It deals with all kinds (...) of linguistic context in a fully compositional and anti-contextual way. (shrink)

In this book some options concerning the greenhouse effect are assessed from a welfarist point of view: business as usual, stabilization of greenhouse gas emissions and reduction by 25% and by 60%. Up to today only economic analyses of such options are available, which monetize welfare losses. Because this is found to be wanting from a moral point of view, the present study welfarizes (among others) monetary losses on the basis of a hedonistic utilitarianism and other, justice incorporating, welfare ethics. (...) For these welfarist evaluations information about the social consequences of the four options are collected from the literature and eventually corrected; then the consequences for individual well-being are assessed based on psychological research about well-being dependent on the social situation of the individual; finally the aggregation formulas of the respective welfare ethics are applied to these data. Assessments by other types of ethics, e.g. Kantian ethic, are included. The strongest abatement option is found to be optimum with great unanimity. - In addition a cost-welfare analysis of greenhouse gas abatement is undertaken revealing efficient cost-welfare ratios for these measures and the most efficient ratio for the strongest option. - A final, more theoretical part discusses the moral obligations following from such evaluations. The notion of 'moral obligation' is explained in a way that, apart from moral goodness of the required act, reinforcement by formal or informal sanctions is another necessary condition for moral obligations. This leads to a conception of a historical morality according to which the demands of morality rise in the long run. Applying this conception to the greenhouse effect implies that presently we have the moral duty to raise the standards of greenhouse gas abatement as much as is politically feasible. (shrink)