I examine three ‘anti-object’ metaphysical views: nihilism, generalism, and anti-quantificationalism. After setting aside nihilism, I argue that generalists should be anti-quantificationalists. Along the way, I attempt to articulate what a ‘metaphysically perspicuous’ language might even be.

Can we quantify over everything: absolutely, positively, definitely, totally, every thing? Some philosophers have claimed that we must be able to do so, since the doctrine that we cannot is self-stultifying. But this treats restrictivism as a positive doctrine. Restrictivism is much better viewed as a kind of militant quietism, which I call dadaism. Dadaists advance a hostile challenge, with the aim of silencing everyone who holds a positive position about ‘absolute generality’.

In Writing the Book of the World, Ted Sider argues that David Lewis’s distinction between those predicates which are ‘perfectly natural’ and those which are not can be extended so that it applies to words of all semantic types. Just as there are perfectly natural predicates, there may be perfectly natural connectives, operators, singular terms and so on. According to Sider, one of our goals as metaphysicians should be to identify the perfectly natural words. Sider claims that there is a (...) perfectly natural first-order quantifier. I argue that this claim is not justified. Quine has shown that we can dispense with first-order quantifiers, by using a family of ‘predicate functors’ instead. I argue that we have no reason to think that it is the first-order quantifiers, rather than Quine’s predicate functors, which are perfectly natural. The discussion of quantification is used to provide some motivation for a general scepticism about Sider’s project. Shamik Dasgupta’s ‘generalism’ and Jason Turner’s critique of ‘ontological nihilism’ are also discussed. (shrink)

La mesure d'audience est au coeur de l'activité des médias dits de masse: elle sert de référence pour quantifier les auditoires et s'impose comme mode de consultation du public. Le présent numéro d'Hermès présente tout d'abord les systèmes de mesure d'audience des différents médias , mettant en évidence que l'audience est le résultat d'un ensemble de contraintes et d'un consensus toujours fragile entre les partenaires concernés. La deuxième partie, plus particulièrement centrée sur la télévision généraliste, analyse les effets de (...) la concurrence sur les programmes et les programmations. La partie suivante s'interroge sur la validité de l'audience comme moyen de connaissance des publics, et sur la possibilité de créer d'autres types de liens avec le téléspectateur. Enfin, la spécificité d'Internet par rapport aux médias traditionnels permet d'affirmer que la mesure d'audience n'y jouera sans doute jamais le rôle central, un nouveau mode de relation s'instaurant avec l'usager.Audience research is at the centre of mass media activity: it serves as a reference to quantify viewers and are considered to be THE way to survey audiences. This issue of Hermes first presents different audience rating systems used by the media , emphasizing the fact that the audience is the result of many constraints and of an invariably weak consensus between the partners concerned. The second part focuses more particularly on traditional TV channels, analyses the effects of competition on schedules and programming. The section that follows questions the validity of the audience as a means of getting to know viewers and also questions the possibility of creating other types of links with the viewer. Finally, the specificity of the Internet as opposed to more "traditional" media leads us to observe that audience rating might never play a central role in this media since a new type of relations is being created with users. (shrink)

Ontic structural realism (OSR) claims that all there is to the world is structure. But how can this slogan be turned into a worked-out metaphysics? Here I consider one potential answer: a metaphysical framework known as generalism (Dasgupta, 2009, 2016). According to the generalist, the most fundamental description of the world is not given in terms of individuals bearing properties, but rather, general facts about which states of affairs obtain. However, I contend that despite several apparent similarities between the (...) positions, generalism is unable to capture the two main motivations for OSR. I suggest instead that OSR should be construed as a meta-metaphysical position. (shrink)

Ontic structural realism claims that all there is to the world is structure. But how can this slogan be turned into a worked-out metaphysics? Here I consider one potential answer: a metaphysical framework known as ‘generalism’. According to the generalist, the most fundamental description of the world is not given in terms of individuals bearing properties, but rather, general facts about which states of affairs obtain. However, I contend that despite several apparent similarities between the positions, generalism is (...) unable to capture the two main motivations for OSR. I suggest instead that OSR should be construed as a meta-metaphysical position. 1Introduction 2Motivations 2.1Theory change 2.2Permutation invariance 3Metaphysics 4Generalism 4.1Quantifier generalism 4.2Algebraic generalism 5Why Generalism Is Not Ontic Structural Realism 6Ontic Structural Realism as Meta-metaphysics 7Conclusion. (shrink)

I defend moral generalism against particularism. Particularism, as I understand it, is the negation of the generalist view that particular moral facts depend on the existence of a comprehensive set of true moral principles. Particularists typically present "the holism of reasons" as powerful support for their view. While many generalists accept that holism supports particularism but dispute holism, I argue that generalism accommodates holism. The centerpiece of my strategy is a novel model of moral principles as a kind (...) of "hedged" principles that incorporate an independently plausible "basis thesis" concerning the explanation of moral reasons. The model implies that moral reasons requires the existence of a comprehensive set of true hedged principles, and so it captures generalism. But the model also offers an alternative explanation of holism, and so it undercuts much of the motivation for particularism. I defend this moderate (because holism-tolerating) form of generalism against a number of objections, and show how it can be used to defeat three distinct arguments from holism to particularism. (shrink)

This essay clarifies quantifier variance and uses it to provide a theory of indefinite extensibility that I call the variance theory of indefinite extensibility. The indefinite extensibility response to the set-theoretic paradoxes sees each argument for paradox as a demonstration that we have come to a different and more expansive understanding of ‘all sets’. But indefinite extensibility is philosophically puzzling: extant accounts are either metasemantically suspect in requiring mysterious mechanisms of domain expansion, or metaphysically suspect in requiring nonstandard assumptions (...) about mathematical objects. Happily, the view of quantifier meanings that underwrites quantifier variance can be used to provide an account of indefinite extensibility that is both metasemantically and metaphysically satisfying. Section 1 introduces the puzzle of indefinite extensibility; section 2 develops and clarifies the metasemantics of quantifier variance; section 3 solves section 1's puzzle of indefinite extensibility by applying section 2's account of quantifier meanings; and section 4 compares the theory developed in section 3 to several other theories in the literature. (shrink)

Recently a number of works in meta-ontology have used a variant of J.H. Harris's collapse argument in the philosophy of logic as an argument against Eli Hirsch's quantifier variance. There have been several responses to the argument in the literature, but none of them have identified the central failing of the argument, viz., the argument has two readings: one on which it is sound but doesn't refute quantifier variance and another on which it is unsound. The central lesson (...) I draw is that arguments against quantifier variance must pay strict attention to issues of translation and interpretation. The paper also has a substantial appendix in which I prove the equivalence of plural mereological nihilism and standard first-order atomistic mereology; results of this kind are often appealed to in the literature on quantifier variance but without many details on the nature or proof of the result. (shrink)

Quantifier variance holds that different languages can have unrestricted quantifier expressions that differ in meaning, where an expression is a “quantifier” just in case it plays the right inferential role. Several critics argued that J.H. Harris’s “collapse” argument refutes variance by showing that identity of inferential role is incompatible with meaning variance. This standard, syntactic collapse argument has generated several responses. More recently, Cian Dorr proved semantic collapse theorems to generate a semantic collapse argument against variance. The (...) argument is significantly different from standard collapse, so it requires a new response. Here I clarify and analyze the semantic collapse argument, and explain how variantists can and should respond to it. The paper also includes an appendix showing the difficulties of positing identity variance without quantifier variance. The argument in the appendix has yet to appear in print, but is familiar to specialists. (shrink)

AbstractBoardroom backscratching, or cronyism, is an unethical practice where CEOs conspire with directors to receive remuneration beyond performance- and market-related factors. Premised on the theory of planned behavior, this study investigates whether CEO generalist experience magnifies the likelihood of boardroom backscratching. Using 9482 firm-year observations spanning 1999–2018, our analysis shows that firms with greater CEO generalist managerial experience are more likely to engage in boardroom backscratching, via both cash- and equity-based compensation. We provide further evidence that backscratching firms with CEOs (...) that possess greater generalist experience tend to overinvest, particularly via non-capital expenditure, as a channel for empire building and private rent extraction. We also find that a higher portion of female independent directors sitting on the board and the compensation committee mitigates the positive relationship between CEO generalist managerial experience and boardroom backscratching, which we attribute to greater ethicality of, and increased monitoring exercised by, female independent directors. (shrink)

Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.

This paper is a survey of the generalism-particularism debate in ethics. It's an updated version of "Moral Particularism", in Christian B. Miller (ed.), The Continuum Companion to Ethics (Continuum, 2011), pp. 247-260.

The growth of self-tracking and personal surveillance has given rise to the Quantified Self movement. Members of this movement seek to enhance their personal well-being, productivity, and self-actualization through the tracking and gamification of personal data. The technologies that make this possible can also track and gamify aspects of our interpersonal, romantic relationships. Several authors have begun to challenge the ethical and normative implications of this development. In this article, we build upon this work to provide a detailed ethical analysis (...) of the Quantified Relationship. We identify eight core objections to the QR and subject them to critical scrutiny. We argue that although critics raise legitimate concerns, there are ways in which tracking technologies can be used to support and facilitate good relationships. We thus adopt a stance of cautious openness toward this technology and advocate the development of a research agenda for the positive use of QR technologies. (shrink)

Moral philosophy has long been dominated by the aim of understanding morality and the virtues in terms of principles. However, the underlying assumption that this is the best approach has received almost no defence, and has been attacked by particularists, who argue that the traditional link between morality and principles is little more than an unwarranted prejudice. In Principled Ethics, Michael Ridge and Sean McKeever meet the particularist challenge head-on, and defend a distinctive view they call "generalism as a (...) regulative ideal.". (shrink)

I develop a formal logic in which quantified arguments occur in argument positions of predicates. This logic also incorporates negative predication, anaphora and converse relation terms, namely, additional syntactic features of natural language. In these and additional respects, it represents the logic of natural language more adequately than does any version of Frege’s Predicate Calculus. I first introduce the system’s main ideas and familiarize it by means of translations of natural language sentences. I then develop a formal system built on (...) these principles, the Quantified Argument Calculus or Quarc. I provide a truth-value assignment semantics and a proof system for the Quarc. I next demonstrate the system’s power by a variety of proofs; I prove its soundness; and I comment on its completeness. I then extend the system to modal logic, again providing a proof system and a truth-value assignment semantics. I proceed to show how the Quarc versions of the Barcan formulas, of their converses and of necessary existence come out straightforwardly invalid, which I argue is an advantage of the modal Quarc over modal Predicate Logic as a system intended to capture the logic of natural language. (shrink)

Propositional quantifiers are quantifiers binding proposition letters, understood as variables. This Element introduces propositional quantifiers and explains why they are especially interesting in the context of propositional modal logics. It surveys the main results on propositionally quantified modal logics which have been obtained in the literature, presents a number of open questions, and provides examples of applications of such logics to philosophical problems.

In this paper, we provide a comprehensive survey of the space of possible analyses of the phenomenon of quantifier domain restriction, together with a set of considerations which militate against all but our own proposal. Among the many accounts we consider and reject are the ‘explicit’ approach to quantifier domain restric‐tion discussed, for example, by Stephen Neale, and the pragmatic approach to quantifier domain restriction proposed by Kent Bach. Our hope is that the exhaustive discussion of this (...) special case of context‐dependence will provide guidelines for how to decide, for an arbitrary case of context‐dependent discourse, whether it should be treated syntactically, semantically, or pragmatically. (shrink)

Irreversible generalism, the view that reasons given for the evaluation of art are general and do not admit of exceptions, is defended from the criticisms levelled against it by George Dickie in ‘Reading Sibley’. The authors' view that Frank Sibley adhered to a form of reversible generalism, the view that reasons given for the evaluation of art are general but can sometimes become reasons to disvalue artworks, according to which there a criterion for distinguishing valenced from neutral aesthetic (...) properties, is also defended. (shrink)

In this article I shall be supporting two main claims. The first is that the essence of the difference between particularism and generalism lies in where they locate ethical correctness. The second is that generalism, although to be preferred to particularism, is not the final resting place for ethical correctness. Ultimately, ethical correctness resides in ethical theories that provide the rationale for generalism. Particularism is presented as a theory that allows attention to be paid to specific cases (...) and shows a sensitivity to the particular case. Generalism, with its appeal to moral principles, is supposed to lack this sensitivity to specific cases. I argue that although this might be true of subsumptive generalism, it is not true of what I call judgmental generalism. This latter type of generalism retains an appeal to moral principles while requiring sensitivity to the particular case. I consider Kantian ethics as an example of this sort of generalism. Furthermore, I support the claim that this judgmental generalism is to be preferred to particularism. I argue against a prominent form of particularism, put forward by Jonathan Dancy, based on an appeal to the holism of reasons. This doctrine involves the claim that the value of a complex whole is not necessarily identical with the value of its parts. I show that Dancy’s discussion of this involves inconsistencies and also appears to incorporate subsumptive generalism. This statement of particularism is ultimately incoherent. (shrink)

This book provides a broad framework for scholar-practitioners to assist parties in conflict to collaboratively and comprehensively analyze and address diverse conflicts using all-manner of conflict interventions and theories emerging out of the twin fields of conflict resolution and peace studies. The generalist approach, which emphasizes both ‘ways of doing’ and skills, as well as ‘ways of being’ and principles, rests on solid theoretical foundations and evaluation research is integral to the approach.

This book provides a broad framework for scholar-practitioners to assist parties in conflict to collaboratively and comprehensively analyze and address diverse conflicts using all-manner of conflict interventions and theories emerging out of the twin fields of conflict resolution and peace studies. The generalist approach, which emphasizes both ‘ways of doing’ and skills, as well as ‘ways of being’ and principles, rests on solid theoretical foundations and evaluation research is integral to the approach.

This paper is a defence of a holistic version of the generalist view of moral reasoning based on prima facie principles. In Section 1 I summarise Dancy’s arguments for particularism. Then I argue that particularism goes against strong intuitions regarding reasoning in general (Section 2), fails to account for the asymmetry of reasons (Section 3) and to make sense of compunction and moral imbecility (Section 4). I conclude (Section 5) that a holistic generalism is the right view of moral (...) reasoning. Then I discuss Dancy’s objections to it. I argue that Dancy’s appeal to default reasons is philosophically equivalent to a holistic version of generalism, and hence incompatible with particularism (Section 6) and that his resistance to accept holistic generalism is the result of a foundationalist view of reasoning (Section 7). As an alternative to foundationalism I defend an Aristotelian dialectical view of moral reasoning. (shrink)

A certain argument has been given in the literature to the effect that generalism (the view that all facts about all possible worlds can (in principle) be given in general terms, that is, without resorting to nonqualitative thisnesses) excludes transworld identitism (the view that there are numerical identities through possible worlds). It follows from this argument, among other things, that transworld identitism entails Scotistic haecceitism (acceptance of nonqualitative thisnesses), and that generalists subscribing to de reism (the view that there (...) are true modal statements de re) are committed to counterpartism (the view that sameness through worlds is not numerical identity). The purpose of this paper is to resist the argument in question by constructing generalist transworld identitism, that is, by providing an account involving identities through possible worlds, without resorting to nonqualitative thisnesses. (shrink)

A standard framework for business ethics views the inquiry as an application of major ethical theories to specific issues in business. As these theories are largely presented as being principled, the exercise therefore becomes one of applying general principles to business situations. Many adopting this standard approach have thus resisted the implementation of the most prominent development in ethical theory in recent history: that of particularism. In this article, I argue that particularist thinking has much to offer to business ethics (...) and that standard resistance to particularist business ethics is based largely on misunderstandings. I do so by illustrating how the harbinger of particularism, W. D. Ross, countenances the practical wisdom of particularist ethics while being 1) invulnerable to standard objections to particularist business ethics and 2) compatible with the generalism of the standard approach. The Rossian business ethic is therefore one that the standard approach should be eager to include. (shrink)

Quantified expressions in natural language generally are taken to act like quantifiers in logic, which either range over entities that need to satisfy or not satisfy the predicate in order for the sentence to be true or otherwise are substitutional quantifiers. I will argue that there is a philosophically rather important class of quantified expressions in English that act quite differently, a class that includes something, nothing, and several things. In addition to expressing quantification, such expressions act like nominalizations, introducing (...) a new domain of objects that would not have been present in the semantic structure of the sentence otherwise. The entities those expressions introduce are of just the same sort as those that certain ordinary nominalizations refer to (such as John's wisdom or John's belief that S), namely they are tropes or entities related to tropes. Analysing certain quantifiers as nominalizing quantifiers will shed a new light on philosophical issues such as the status of properties and the nature of propositional attitudes. (shrink)

We introduce generalized quantifiers, as defined in Tarskian semantics by Mostowski and Lindström, in logics whose semantics is based on teams instead of assignments, e.g., IF-logic and Dependence logic. Both the monotone and the non-monotone case is considered. It is argued that to handle quantifier scope dependencies of generalized quantifiers in a satisfying way the dependence atom in Dependence logic is not well suited and that the multivalued dependence atom is a better choice. This atom is in fact definably (...) equivalent to the independence atom recently introduced by Väänänen and Grädel. (shrink)

This volume on the semantic complexity of natural language explores the question why some sentences are more difficult than others. While doing so, it lays the groundwork for extending semantic theory with computational and cognitive aspects by combining linguistics and logic with computations and cognition. -/- Quantifier expressions occur whenever we describe the world and communicate about it. Generalized quantifier theory is therefore one of the basic tools of linguistics today, studying the possible meanings and the inferential power (...) of quantifier expressions by logical means. The classic version was developed in the 1980s, at the interface of linguistics, mathematics and philosophy. Before this volume, advances in "classic" generalized quantifier theory mainly focused on logical questions and their applications to linguistics, this volume adds a computational component, the third pillar of language use and logical activity. This book is essential reading for researchers in linguistics, philosophy, cognitive science, logic, AI, and computer science. (shrink)

Quantifier variance faces a number of difficulties. In this paper we first formulate the view as holding that the meanings of the quantifiers may vary, and that languages using different quantifiers may be charitably translated into each other. We then object to the view on the basis of four claims: (i) quantifiers cannot vary their meaning extensionally by changing the domain of quantification; (ii) quantifiers cannot vary their meaning intensionally without collapsing into logical pluralism; (iii) quantifier variance is (...) not an ontological doctrine; (iv) quantifier variance is not compatible with charitable translation and as such is internally inconsistent. In light of these troubles, we recommend the dissolution of quantifier variance and suggest that the view be laid to rest. (shrink)

The field of AI has undergone a series of transformations, each marking a new phase of development. The initial phase emphasized curation of symbolic models which excelled in capturing reasoning but were fragile and not scalable. The next phase was characterized by machine learning models—most recently large language models (LLMs)—which were more robust and easier to scale but struggled with reasoning. Now, we are witnessing a return to symbolic models as complementing machine learning. Successes of LLMs contrast with their inscrutability, (...) inaccuracy, and hallucinations, which underwrite concerns over the reliability and trustworthiness of these systems, motivating investigations into commonsense reasoning, AI explainability, and formal verification techniques. Moreover, proper assessments of hybrid machine learning/symbolic systems require novel strategies to facilitate comparisons of performance and guide future AI progress. The EDGeS AAAI 2023 Spring symposium brought together researchers focusing on novel assessments and benchmarks for evaluating hybrid and artificial general intelligence (AGI) systems. This symposium revealed what was already suspected: research concerning evaluation of machine learning/symbolic hybrids and AGI is, unfortunately, lacking. Even so, the discussion was fruitful. (shrink)

The present paper wants to develop a formal semantics about a special class of formulas: quantifying statements, which are a kind of predicative statements where both subject- and predicate terms are quantifier expressions like ‘everything’, ‘something’, and ‘nothing’. After showing how talking about nothingness makes sense despite philosophical objections, I contend that there are two sorts of meaning in phrases including ‘thing’, viz. as an individual (e.g. ‘some thing’) or as a property (e.g. ‘something’). Then I display two kinds (...) of logical forms for quantifying statements, depending on how these ‘thing’s are ordered into a whole predication. Finally, an algebraic semantics is proposed for the finite set of quantifying statements to order these into a (fragmentary) dodecagon of logical relations. The corresponding Sub-Model Semantics (hereafter: $$\mathbb {SMS}$$ ) aims to update the usual theory of opposition whilst leading to a research program for other kinds of statement like categorical and even modal propositions. (shrink)

Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.

Quantifier variance is a well-known view in contemporary metaontology, but it remains very widely misunderstood by critics. Here we briefly and clearly explain the metasemantics of quantifier variance and distinguish between modest and strong forms of variance (Section I), explain some key applications (Section II), clear up some misunderstandings and address objections (Section III), and point the way toward future directions of quantifier-variance-related research (Section IV).

I defend a neo-Lewisean form of contextualism about knowledge attributions. Understanding the context-sensitivity of knowledge attributions in terms of the context-sensitivity of universal quantifiers provides an appealing approach to knowledge. Among the virtues of this approach are solutions to the skeptical paradox and the Gettier problem. I respond to influential objections to Lewis’s account.

The orthodox view of logic takes for granted the central importance of logical principles. Logic, and thus logical reasoning, is to be understood as a system of rules or principles with universal application. Let us call this orthodox view logical generalism. In this paper we argue that logical generalism, whether monist or pluralist, is wrong. We then outline an account of logical consequence in the absence of general logical principles, which we call logical particularism.

The formalisation of Natural Language arguments in a formal language close to it in syntax has been a central aim of Moss’s Natural Logic. I examine how the Quantified Argument Calculus (Quarc) can handle the inferences Moss has considered. I show that they can be incorporated in existing versions of Quarc or in straightforward extensions of it, all within sound and complete systems. Moreover, Quarc is closer in some respects to Natural Language than are Moss’s systems – for instance, is (...) does not use negative nouns. The process also sheds light on formal properties and presuppositions of some inferences it formalises. Directions for future work are outlined. (shrink)

In the dissertation we study the complexity of generalized quantifiers in natural language. Our perspective is interdisciplinary: we combine philosophical insights with theoretical computer science, experimental cognitive science and linguistic theories. -/- In Chapter 1 we argue for identifying a part of meaning, the so-called referential meaning (model-checking), with algorithms. Moreover, we discuss the influence of computational complexity theory on cognitive tasks. We give some arguments to treat as cognitively tractable only those problems which can be computed in polynomial time. (...) Additionally, we suggest that plausible semantic theories of the everyday fragment of natural language can be formulated in the existential fragment of second-order logic. -/- In Chapter 2 we give an overview of the basic notions of generalized quantifier theory, computability theory, and descriptive complexity theory. -/- In Chapter 3 we prove that PTIME quantifiers are closed under iteration, cumulation and resumption. Next, we discuss the NP-completeness of branching quantifiers. Finally, we show that some Ramsey quantifiers define NP-complete classes of finite models while others stay in PTIME. We also give a sufficient condition for a Ramsey quantifier to be computable in polynomial time. -/- In Chapter 4 we investigate the computational complexity of polyadic lifts expressing various readings of reciprocal sentences with quantified antecedents. We show a dichotomy between these readings: the strong reciprocal reading can create NP-complete constructions, while the weak and the intermediate reciprocal readings do not. Additionally, we argue that this difference should be acknowledged in the Strong Meaning hypothesis. -/- In Chapter 5 we study the definability and complexity of the type-shifting approach to collective quantification in natural language. We show that under reasonable complexity assumptions it is not general enough to cover the semantics of all collective quantifiers in natural language. The type-shifting approach cannot lead outside second-order logic and arguably some collective quantifiers are not expressible in second-order logic. As a result, we argue that algebraic (many-sorted) formalisms dealing with collectivity are more plausible than the type-shifting approach. Moreover, we suggest that some collective quantifiers might not be realized in everyday language due to their high computational complexity. Additionally, we introduce the so-called second-order generalized quantifiers to the study of collective semantics. -/- In Chapter 6 we study the statement known as Hintikka's thesis: that the semantics of sentences like ``Most boys and most girls hate each other'' is not expressible by linear formulae and one needs to use branching quantification. We discuss possible readings of such sentences and come to the conclusion that they are expressible by linear formulae, as opposed to what Hintikka states. Next, we propose empirical evidence confirming our theoretical predictions that these sentences are sometimes interpreted by people as having the conjunctional reading. -/- In Chapter 7 we discuss a computational semantics for monadic quantifiers in natural language. We recall that it can be expressed in terms of finite-state and push-down automata. Then we present and criticize the neurological research building on this model. The discussion leads to a new experimental set-up which provides empirical evidence confirming the complexity predictions of the computational model. We show that the differences in reaction time needed for comprehension of sentences with monadic quantifiers are consistent with the complexity differences predicted by the model. -/- In Chapter 8 we discuss some general open questions and possible directions for future research, e.g., using different measures of complexity, involving game-theory and so on. -/- In general, our research explores, from different perspectives, the advantages of identifying meaning with algorithms and applying computational complexity analysis to semantic issues. It shows the fruitfulness of such an abstract computational approach for linguistics and cognitive science. (shrink)

In the work of both Matti Eklund and John Hawthorne there is an influential semantic argument for a maximally expansive ontology that is thought to undermine even modest forms of quantifier variance. The crucial premise of the argument holds that it is impossible for an ontologically "smaller" language to give a Tarskian semantics for an ontologically "bigger" language. After explaining the Eklund-Hawthorne argument (in section I), we show this crucial premise to be mistaken (in section II) by developing a (...) Tarskian semantics for a mereological universalist language within a mereological nihilist language (a case which we, and Eklund and Hawthorne, take as representative). After developing this semantics we step back (in section III) to discuss the philosophical motivations behind the Eklund- Hawthorne argument’s demand for a semantics. We ultimately conclude that quantifier variantists can meet any demand for a semantics that might reasonably be imposed upon them. (shrink)

The thesis of quantifier variance is consistent and cannot be refuted via a collapse argument.

There are two main routes to a concept of (generalized) quantifier. The first starts from first‐order logic, FO, and generalizes from the familiar ∀ and ∃ occurring there. The second route begins with real languages, and notes that many so‐called noun phrases, a kind of phrase which occurs abundantly in most languages, can be interpreted in a natural and uniform way using quantifiers.