A plurality or plural object is a single object that is also many, and pluralitism is the thesis that there is such an object. This paper argues that pluralitism and closely related theses (e.g., the many-one identity thesis and the composition as identity thesis) violate logic. To do so, it formulates an approach to the logic and semantics of plural constructions that results in plural logic and relates treatments of plural constructions to accounts of natural number. (...) And it gives a critical examination of Frege’s views of numbers and plural constructions, and sketches the view of plural constructions as devices for talking about the many (as such), and an account of natural numbers as properties of a special kind, plural properties. (shrink)

I claim that objective consequentialism faces a problem stemming from the existence in some situations of a plurality of chances relevant to the outcomes of an agent’s acts. I suggest that this phenomenon bears structural resemblance to the well-known Reference Class problem. I outline a few ways in which one could attempt to deal with the issue, suggesting that it is the higher-level chance that should be employed by OC.

Politics, Philosophy & Economics, Volume 21, Issue 2, Page 122-164, May 2022. I argue that the consensus view that one must never level down to equality gives rise to a dilemma. This dilemma is best understood by examining two parallel cases of leveling down: one drawn from the economic domain, the other from the political. In the economic case, both egalitarians and non-egalitarians have resisted the idea of leveling down wages to equality. With no incentives for some people to work (...) hard social productivity will likely decline, further lowering people's wages and thus leaving everybody all-things-considered worse off as a result—hence “never level down.” On the other hand, however, the argument against leveling down does not appear to pass muster in the political sphere: denying political equality in the form of “one person, one vote”, for example, by giving a higher share of voting power to people with, say, more education seems straightforwardly objectionable, even if such a voting scheme would improve the outcomes of all people, including those who are ultimately left with fewer votes. Thus, a fundamental tension arises: we can either endorse the widely-affirmed “never-level-down” thesis, which says that sacrificing people's well-being exclusively for the sake of promoting equality can never be the right thing to do, or we can endorse the principle of “one person, one vote.” But we cannot do both. I defend this dilemma against a view I call the compatibility view: roughly, that because OPOV is strictly necessary to advance some weighty, non-egalitarian interest people have, accepting OPOV as a principle of justice is compatible with one's rejection of leveling down. (shrink)

Ordinary English contains different forms of quantification over objects. In addition to the usual singular quantification, as in 'There is an apple on the table', there is plural quantification, as in 'There are some apples on the table'. Ever since Frege, formal logic has favored the two singular quantifiers ∀x and ∃x over their plural counterparts ∀xx and ∃xx (to be read as for any things xx and there are some things xx). But in recent decades it (...) has been argued that we have good reason to admit among our primitive logical notions also the plural quantifiers ∀xx and ∃xx. More controversially, it has been argued that the resulting formal system with plural as well as singular quantification qualifies as ‘pure logic’; in particular, that it is universally applicable, ontologically innocent, and perfectly well understood. In addition to being interesting in its own right, this thesis will, if correct, make plural quantification available as an innocent but extremely powerful tool in metaphysics, philosophy of mathematics, and philosophical logic. For instance, George Boolos has used plural quantification to interpret monadic second-order logic and has argued on this basis that monadic second-order logic qualifies as “pure logic.” Plural quantification has also been used in attempts to defend logicist ideas, to account for set theory, and to eliminate ontological commitments to mathematical objects and complex objects. (shrink)

I formulate a theory of groups based on pluralities and counterparts: roughly put, a group is a plurality of entities at a time. This theory comes with counterpart-theoretic semantics for modal and temporal sentences about groups. So this theory of groups is akin to the stage theory of material objects: both take the items they analyze to exist at a single time, and both use counterparts to satisfy certain conditions relating to the modal properties, temporal properties, and coincidence properties (...) of those items. (shrink)

The paper argues that two distinct and independent notions of plurality are involved in natural language anaphora and quantification: plural reference (the usual non-atomic individuals) and plural discourse reference, i.e., reference to a quantificational dependency between sets of objects (e.g., atomic/non-atomic individuals) that is established and subsequently elaborated upon in discourse. Following van den Berg (PhD dissertation, University of Amsterdam, 1996), plural discourse reference is modeled as plural information states (i.e., as sets of variable assignments) (...) in a new dynamic system couched in classical type logic that extends Compositional DRT (Muskens, Linguistics and Philosophy, 19, 143-186, 1996). Given the underlying type logic, compositionality at sub-clausal level follows automatically and standard techniques from Montague semantics become available. The idea that plural info states are semantically necessary (in addition to non-atomic individuals) is motivated by relative-clause donkey sentences with multiple instances of singular donkey anaphora that have mixed (weak and strong) readings. At the same time, allowing for non-atomic individuals in addition to plural info states enables us to capture the intuitive parallels between singular and plural (donkey) anaphora, while deriving the incompatibility between singular (donkey) anaphora and collective predicates. The system also accounts for empirically unrelated phenomena, e.g., the uniqueness effects associated with singular (donkey) anaphora discussed in Kadmon (Linguistics and Philosophy, 13, 273-324, 1990) and Heim (Linguistics and Philosophy, 13, 131-177, 1990) among others. (shrink)

There has been very little discussion of the appropriate principles to govern a modal logic of plurals. What debate there has been has accepted a principle I call (Necinc); informally if this is one of those then, necessarily: this is one of those. On this basis Williamson has criticised the Boolosian plural interpretation of monadic second-order logic. I argue against (Necinc), noting that it isn't a theorem of any logic resulting from adding modal axioms to the plural logic (...) PFO+, and showing that the most obvious formal argument in its favour is question begging. I go on to discuss the behaviour of natural language plurals, motivating a case against (Necinc) by developing a case that natural language plural terms are not de jure rigid designators. The paper concludes by developing a model theory for modal PFO-f which does not validate (Necinc). An Appendix discusses (Necinc) in relation to counterpart theory. Of course, it would be a mistake to think that the rules for "multiple pointing" follow automatically from the rules for pointing proper. Max Black—The Elusiveness of Sets In some influential articles during the 1980s George Boolos proposed an interpretation of monadic second-order logic in terms of plural quantification [4, 5]. One objection to this proposal, pressed by Williamson [22, 456-7], focuses on the modal behaviour of plural variables, arguing that the proposed interpretation yields the wrong results in respect of the modal status of atomic predications. In the present paper I will present this objection and argue against it. In the course of developing the argument, I will have cause to consider the under-investigated question of how a logic for plurals should be extended to incorporate modal operators. (shrink)

It has been claimed in the literature that collective intentionality and group attitudes presuppose some “sense of ‘us’” among the participants (other labels sometimes used are “sense of community,” “communal awareness,” “shared point of view,” or “we-perspective”). While this seems plausible enough on an intuitive level, little attention has been paid so far to the question of what the nature and role of this mysterious “sense of ‘us’” might be. This paper states (and argues for) the following five claims: (1) (...) it is neither the case that the sense in question has the community (or “us”) in its content or as its object nor does the attitude in question presuppose a preexistent community (or “us”) as its subject. (2) The “sense of ‘us’” is plural pre-reflective self-awareness. (3) Plural pre-reflective self-awareness plays the same role in the constitution of a common mind that singular pre-reflective self-awareness plays in the individual mind. (4) The most important conceptions of plural subjects, collective persons, or group agents in the current literature fail to recognize the nature and role of plural self-awareness, and therefore fall short in important respects. (5) In spite of the striking similarities between the plural and the singular mind, there are important differences to consider. The authority of the singular first person point of view has no equivalent in the plural case. (shrink)

Recent political developments cast doubt on the wisdom of democratic decision-making. Brexit, the Colombian people's (initial) rejection of peace with the FARC, and the election of Donald Trump suggest that the time is right to explore alternatives to democracy. In this essay, I describe and defend the epistocratic system of government which is, given current theoretical and empirical knowledge, most likely to produce optimal political outcomes—or at least better outcomes than democracy produces. To wit, we should expand the suffrage as (...) wide as possible and weight citizens’ votes in accordance with their competence. As it turns out, the optimal system is closely related to J. S. Mill's plural voting proposal. I also explain how voters’ competences can be precisely determined, without reference to an objective standard of correctness and without generating invidious comparisons between voters. (shrink)

Innovative modes of collaboration between archaeologists and Indigenous communities are taking shape in a great many contexts, in the process transforming conventional research practice. While critics object that these partnerships cannot but compromise the objectivity of archaeological science, many of the archaeologists involved argue that their research is substantially enriched by them. I counter objections raised by internal critics and crystalized in philosophical terms by Boghossian, disentangling several different kinds of pluralism evident in these projects and offering an analysis of (...) why they are epistemically productive when they succeed. My central thesis is that they illustrate the virtues of epistemic inclusion central to proceduralist accounts of objectivity, but I draw on the resources of feminist standpoint theory to motivate the extension of these social -cognitive norms beyond the confines of the scientific community. (shrink)

Margaret Gilbert has defended the claim that her plural subject theory can give a reasonable account of retrospective (or backward-looking) collective responsibility. On one occasion, publishing in this periodical, she writes that she deliberately left out the discussion of prospective (or forward-looking) collective responsibility, or the “responsibilities” of a collective. In the present paper, I want to show that plural subject theory, in fact, also allows accounting for prospective responsibilities of groups and institutions. In order to do so, (...) I will first sketch the social ontological background of my discussion which is, in fact, an amended version of Gilbert’s theory of plural subjects (§ 2). Based on the assumption that a prospective responsibility accrues from some kind of commissioning, I will then discuss a variety of possible sources of prospective collective responsibilities: self-commissioning, third-party commissioning and what I will call commissioning by unique capability (§ 3). Having done so, I will discuss some consequences of this account and defend it against objections (§ 4). (shrink)

One of the standard views on plural quantification is that its use commits one to the existence of abstract objects–sets. On this view claims like ‘some logicians admire only each other’ involve ineliminable quantification over subsets of a salient domain. The main motivation for this view is that plural quantification has to be given some sort of semantics, and among the two main candidates—substitutional and set-theoretic—only the latter can provide the language of plurals with the desired expressive (...) power (given that the nominalist seems committed to the assumption that there can be at most countably many names). To counter this approach I develop a modal-substitutional semantics of plural quantification (on which plural variables, roughly speaking, range over ways names could be) and argue for its nominalistic acceptability. (shrink)

In linguistics, the dominant approach to the semantics of plurals appeals to mereology. However, this approach has received strong criticisms from philosophical logicians who subscribe to an alternative framework based on plural logic. In the first part of the article, we offer a precise characterization of the mereological approach and the semantic background in which the debate can be meaningfully reconstructed. In the second part, we deal with the criticisms and assess their logical, linguistic, and philosophical significance. We identify (...) four main objections and show how each can be addressed. Finally, we compare the strengths and shortcomings of the mereological approach and plural logic. Our conclusion is that the former remains a viable and well-motivated framework for the analysis of plurals. (shrink)

I would like to discuss the claim that the resources of plural reference and plural quantification are sufficient for the purpose of paraphrasing all ordinary statements apparently concerned with composite material objects into plural statements concerned exclusively with simples.

ASL can express plurals by repeating a noun, in an unpunctuated fashion, in different parts of signing space. We argue that this construction may come with a rich iconic component: the geometric arrangement of the repetitions provides information about the arrangement of the denoted plurality; in addition, the number and speed of the repetitions provide information about the size of the denoted plurality. Interestingly, the shape of the repetitions may introduce a new singular discourse referent when a vertex can be (...) inferred to denote a singular object. Thus one may point towards the first or last iteration of a horizontal repetition of BOOK to denote the left- or right-edge of the corresponding row. This yields a remarkable interaction between iconic semantics and standard logical semantics. We show that our analysis extends to ‘punctuated’ repetitions, which involve clearly individuated iterations of a singular noun. While these may initially look like coordinated indefinites, they are better handled by the same iconic framework as plural, unpunctuated repetitions. Some repetition-based mass terms also give rise to iconic effects, and to different readings depending on whether the repetition is continuous, unpunctuated, or punctuated. Our analysis highlights the need for a formal semantics with iconicity to study the integration of such iconic and logical conditions. It also raises a question: can similar facts be found in spoken language when gestures are taken into account? We suggest that several effects can be replicated, especially when one considers examples involving ‘pro-speech gestures’. (shrink)

Traditionally, theories of concepts in psychology assume that concepts are a single, uniform kind of mental representation. But no single kind of representation can explain all of the empirical data for which concepts are responsible. I argue that the assumption that concepts are uniformly the same kind of mental structure is responsible for these theories’ shortcomings, and outline a pluralist theory of concepts that rejects this assumption. On pluralism, concepts should be thought of as being constituted by multiple representational kinds, (...) with the particular kind of concept used on an occasion being determined by the context. I argue that endorsing pluralism does not lead to eliminativism about concepts as an object of scientific interest. (shrink)

In this brief paper, I present some counterexamples to Donald Davidson’s claim that the notion of organizing only applies to pluralities.

Russell had two theories of definite descriptions: one for singular descriptions, another for plural descriptions. We chart its development, in which ‘On Denoting’ plays a part but not the part one might expect, before explaining why it eventually fails. We go on to consider many-valued functions, since they too bring in plural terms—terms such as ‘4’ or the descriptive ‘the inhabitants of London’ which, like plain plural descriptions, stand for more than one thing. Logicians need to take (...) plural reference seriously if only because mathematicians take many-valued functions seriously. We assess the objection (by Russell, Frege and others) that many-valued functions are illegitimate because the corresponding terms are ambiguous. We also assess the various methods proposed for getting rid of them. Finding the objection ill-founded and the methods ineffective, we introduce a logical framework that admits plural reference, and use it to answer some earlier questions and to raise some more. (shrink)

I have two main objectives. The first is to get a better understanding of what is at issue between friends and foes of higher-order quantification, and of what it would mean to extend a Boolos-style treatment of second-order quantification to third- and higherorder quantification. The second objective is to argue that in the presence of absolutely general quantification, proper semantic theorizing is essentially unstable: it is impossible to provide a suitably general semantics for a given language in a language of (...) the same logical type. I claim that this leads to a trilemma: one must choose between giving up absolutely general quantification, settling for the view that adequate semantic theorizing about certain languages is essentially beyond our reach, and countenancing an open-ended hierarchy of languages of ever ascending logical type. I conclude by suggesting that the hierarchy may be the least unattractive of the options on the table. (shrink)

How should we understand the relationship, for Aristotle, between matter, form, and hylomorphic composite? Are matter and form distinct from each other, so that each hylomorphic unity harbours a plurality within it, or would such a plurality undermine the unity of the composite? A recent strand of argument in both Aristotelian and contemporary literature on hylomorphism has concluded that no genuine unity can be composed of a plurality. I will argue that the objection motivating this conclusion falls away as improperly (...) formulated in light of Aristotle's metaontology—in particular, his thesis that unity is indeterminate. The genuine objection threatening hylomorphic unity is one that Aristotle himself formulates as a central concern in his Metaphysics: no substance can be composed of substances. He answers this genuine objection in his appeal to the actuality/potentiality distinction, and in Metaphysics VIII.6 he reminds us why no more basic problem of hylomorphic unity arises. Against the backdrop of Aristotle's metaontology, hylomorphic unity cannot be undermined by the plurality, just as such, of matter and form. (shrink)

In a recent article published in this journal, Kris McDaniel proposes a variant of Peter van Inwagen’s argument against the principle of sufficient reason that makes crucial use of plural grounding. In this response paper I object to McDaniel’s argument. I argue that there is no notion of plural grounding available that is both irreflexive in the sense required for the argument to go through and general enough to formulate the principle of sufficient reason as proposed by McDaniel.

I demonstrate that a set of well-known objections defeat John Stuart Mill’s plural voting proposal, but do not defeat plural voting as such. I adopt the following as a working definition of political equality: a voting system is egalitarian if and only if departures from a baseline of equally weighted votes are normatively permissible. I develop an alternative proposal, called procedural plural voting, which allocates plural votes procedurally, via the free choices of the electorate, rather than (...) according to a substantive standard of competence. The alternative avoids standards objections to Mill’s proposal. Moreover, reflection on the alternative plural voting scheme disrupts our intuitions about what counts as an egalitarian voting system. Undue emphasis on Mill’s version of plural voting obscures three important reasons to reject plural voting in favor of strictly egalitarian voting systems: that certain choices that generate inequalities of political power are morally impermissible; that even... (shrink)

This paper raises the question under what circumstances a plurality forms a set. My main point is that not always all things form sets. A provocative way of presenting my position is that, as a result of my approach, there are more pluralities than sets. Another way of presenting the same thesis claims that there are ways of talking about objects that do not always collapse into sets. My argument is related to expressive powers of formal languages. Assuming classical (...) logic, I show that if all plurality form a set and the quantifiers are absolutely general, then one gets a trivial theory. So, by reductio, one has to abandon one of the premiss. Then, I argue against the collapse of the pluralities into sets. What I am advocating is that the thesis of collapse limits important applications of the plural logic in model theory, when it is assumed that the quantifiers are absolutely general. (shrink)

Identity is a modally inflexible relation: two objects are necessarily identical or necessarily distinct. However, identity is not alone in this respect. We will look at the relation that one object bears to some objects if and only if it is one of them. In particular, we will consider the credentials of the thesis that no matter what some objects are, an object is necessarily one of them or necessarily not one of them.

We present a plural logic that is as expressively strong as it can be without sacrificing axiomatisability, axiomatise it, and use it to chart the expressive limits set by axiomatisability. To the standard apparatus of quantification using singular variables our object-language adds plural variables, a predicate expressing inclusion (is/are/is one of/are among), and a plural definite description operator. Axiomatisability demands that plural variables only occur free, but they have a surprisingly important role. Plural description is (...) not eliminable in favour of quantification; on the contrary, quantification is definable in terms of it. Predicates and functors (function signs) can take plural as well as singular terms as arguments, and both many-valued and single-valued functions are expressible. The system accommodates collective as well as distributive predicates, and the condition for a predicate to be distributive is definable within it; similarly for functors. An essential part of the project is to demonstrate the soundness and completeness of the calculus with respect to a semantics that does without set-theoretic domains and in which the use of settheoretic extensions of predicates and functors is replaced by the sui generis relations and functions for which the extensions were at best artificial surrogates. Our metalanguage is designed to solve the difficulties involved in talking plurally about individuals and about the semantic values of plural items. (shrink)

We say that each social group is identical to its members. The group just is them; they just are the group. This view of groups as pluralities has tended to be swiftly rejected by social metaphysicians, if considered at all, mainly on the basis of two objections. First, it is argued that groups can change in membership, while pluralities cannot. Second, it is argued that different groups can have exactly the same members, while different pluralities cannot. We rebut these objections, (...) and argue that our plural view is superior to alternative reductive proposals which would identify social groups with the sets or fusions of their members. Finally we deal with some further potential challenges for the view of groups as pluralities. Thus we aim to establish it as a serious contender in the metaphysics of groups. (shrink)

According to the singular conception of reality, there are objects and there are singular properties, i.e. properties that are instantiated by objects separately. It has been argued that semantic considerations about plurals give us reasons to embrace a plural conception of reality. This is the view that, in addition to singular properties, there are plural properties, i.e. properties that are instantiated jointly by many objects. In this article, I propose and defend a novel semantic account (...) of plurals which dispenses with plural properties and thus undermines the semantic argument in favor of the plural conception of reality. (shrink)

Generically interpreted bare plural noun phrases license donkey anaphora. This fact has unexpected consequences both for the analysis of generics and for the analysis of donkey anaphors. Specifically, if we assume a kindsbased analysis of bare plurals as in Carlson (1980), we will be forced to give up the idea that donkey anaphors are variables – presumably in favor of an E-type analysis. Conversely, if we assume that donkey anaphors are variables, we will be forced to give up Carlson’s (...) treatment of generically interpreted bare plurals as denoting kinds – presumably in favor of an analysis employing a generic operator like that of Wilkinson (1991), which quantifies over objects directly, without the mediation of kinds. The two issues are thus dependent on one another, and cannot be decided independently. This paper will not attempt to choose between an E-type and a variable-based analysis of donkey anaphors, or between a kinds-based and a kinds-free analysis of generic bare plurals, but only to point out that the choice one makes with regard to either one of these issues appears to force a particular choice with respect to the other issue. (shrink)

In both editions of the Critique of Pure Reason, and in the Prolegomena, the table of the logical functions of the understanding in judgments lists under “quantity of judgments”: universal, particular, and singular; and the table of categories lists under “categories of quantity”: unity, plurality, and totality. As Kant regarded the forms of judgments as giving “the clue” to the derivation of categories and held that the two lists are “in complete agreement”, one would conclude from the tables that the (...) category of unity is derived from the universal form of judgment and the category of totality from the singular form. But this view of the derivations seems wrong. As a universal judgment pertains to all objects of a given sort and a singular judgment pertains to but one object, one would expect unity to be derived from the singular and totality from the universal form of judgment. That this second view of the derivations is what Kant really intended seems confirmed by the fact that at several places in his writings, including a passage in the Critique and one in the Prolegomena, when he is speaking of quantitative determinations, he explicitly associates the singular judgment with unity. But if this second view is what he intended, one wonders why he failed to correct the order in the tables in the Prolegomena and in the second edition of the Critique. Is this failure merely, as Jonathan Bennett has suggested, “a slip”? (shrink)

This paper responds to an argument of Hilary Putnam to the effect that the plurality of modern sciences shows us that any natural kind has a plurality of essences. In the past, he has argued that no system of representations, mental or linguistic, could have an intrinsic relationship to the world. Though he has granted that the Thomistic notion of form and its application to the identity of concepts may avoid these earlier objections, he has maintained that the advance of (...) the sciences has shown us that there are too many substantial forms in any particular kind of thing to provide the unity of conceptual identity required by the Thomist’s account. Given the resemblance of Putnam’s position to the “pluralists” against whom Aquinas argued in the Summa Theologiae a consideration of Aquinas arguments is undertaken. Following this, the paper examines a particular case of recent scientific practice, in order to suggest whose position, Putnam’s or the Thomist’s, more adequately captures the practice of the natural sciences of today, and their bearing upon the metaphysical question of the nature of essence in natural kinds. The paper concludes that the Thomist position on the unity of form or essence, with qualifications made about distinct conceptual approaches to some object of investigation, and the use of analogy in sorting through these distinct approaches, is better capable of accounting for the actual goals and practices of scientific understanding as we see it practiced today than is Putnam’s transcendental nominalism and neopragmatism. (shrink)

My thesis consists of three self-contained but interconnected papers. In the first one, 'Word and Objects', I assume that it is possible to quantify over absolutely everything, and show that certain English sentences containing collective predicates resist paraphrase in first-order languages and even in first-order languages enriched with plural quantifiers. To capture such sentences I develop a language containing plural predicates . ;The introduction of plural predicates leads to an extension of Quine's criterion of ontological commitment. (...) I argue that theories containing plural predicates can have plural ontological commitments in addition to singular ones. In this sense, I argue that the subject-matter of ontology is richer than one might have thought. ;Plural predicates turn out to be tremendously fruitful. For example, they provide us with natural formalizations for English plural definite descriptions and generalized quantifiers. They also allow us to state important set theoretic propositions, and give a formal semantics for second-order languages. Such a formal semantics is developed in the second paper, 'Toward a Theory of Second-Order Consequence', which is a collaboration with Gabriel Uzquiano. ;In the third paper, 'Frege's Unofficial Arithmetic', I consider an application of plural predicates to the philosophy of mathematics. By developing a suggestion of the later Frege, I show that any arithmetical predicate can be transformed into a plural predicate in such a way that the arithmetical predicate is true of the number of the Fs just in case the plural predicate is true of the Fs themselves. ;The transformation is important both because it can be put to use by nominalists about arithmetic and neo-Fregeans, and because it provides the foundations for an account of applied arithmetic. (shrink)

In Mathematics is megethology Lewis reconstructs set theory combining mereology with plural quantification. He introduces megethology, a powerful framework in which one can formulate strong assumptions about the size of the universe of individuals. Within this framework, Lewis develops a structuralist class theory, in which the role of classes is played by individuals. Thus, if mereology and plural quantification are ontologically innocent, as Lewis maintains, he achieves an ontological reduction of classes to individuals. Lewis’work is very attractive. However, (...) the alleged innocence of mereology and plural quantification is highly controversial and has been criticized by several authors. In the present paper we propose a new approach to megethology based on the theory of plural reference developed in To be is to be the object of a possible act of choice. Our approach shows how megethology can be grounded on plural reference without the help of mereology. (shrink)

It has been argued that an objectual semantics for plurals falls victim to Russell’s paradox, and that a nominalistic semantics should therefore be preferred (Boolos 1984); similar considerations have sometimes been extended to other types of abstract reference, in particular to property talk. We suggest that this line of argument is mistaken: deeply entrenched features of ordinary language guarantee that property and plural talk do give rise to paradoxes. In the case of properties, the grammar of English is untyped, (...) which makes it straightforward to generate a paradox. In the case of plurals, it is badly typed, which means that paradoxes can be generated, but in complicated ways. In both cases, the problem is not to avoid paradoxes but to model them. We conclude that an objectual semantics is entirely in order, but that it must be developed within a trivalent semantics suited to a paradoxical object language. (shrink)

I argue for the view that some we-thoughts are immune to error through misidentification (IEM) relative to the first-person plural pronoun. To prepare the ground for this argument I defend an account of the semantics of ‘we’ and note the variety of different uses of that term. I go on to defend the IEM of a certain range of we-thoughts against a number of objections.

Summary The object of this study is to analyse certain aspects of the debate between David Brewster and William Whewell concerning the probability of extra-terrestrial life, in order to illustrate the nature, constitution and condition of natural theology in the decades immediately preceding the publication in 1859 of Charles Darwin's Origin of species. The argument is directed against a stylised picture of natural theology which has been drawn from a backward projection of the Darwinian antithesis between natural selection and certain (...) forms of the design argument. Contrary to the popular image of natural theology as an essentially static, autonomous and monolithic set of presuppositions about the existence of design in nature, the paper underlines the existence of a fundamental divergence of strategies within natural theology, a divergence that, in the case of Brewster and Whewell, can be correlated with the religious cultures to which they most closely belonged. The fact that, in the plurality of worlds debate, their respective positions became mutually exclusive suggests that the fragmented and disordered state of natural theology, only too apparent before the Darwinian impact, was occasioned as much by the ulterior problem of rationalising the excessive space of the astronomers and the excessive time of the geologists as it was by any principle of the uniformity of nature in the biological sphere. The argument is substantiated with particular reference to the breakdown in communication as Brewster and Whewell developed conflicting strategies to expose the ?development hypothesis? that had appeared in Vestiges. Their altercation also reveals a certain conflict of status concerning the conclusions of astronomy and geology which, in turn, suggests that tensions between the physical and life sciences were not peculiar to the period following the publication of Darwin's theory. (shrink)

ABSTRACT Einar Bohn [AJP 2019] has proposed a version of panpsychism on which consciousness is fundamentally a property of pluralities of basic objects. I argue that this pluralized panpsychism is structurally similar to emergentism, and faces the problem of explaining how a plurality of basic objects could be a subject of experiences. Because of these issues, pluralized panpsychism is not a substantial improvement on orthodox panpsychism.

This dissertation is based on the compositional model theoretic approach to natural language semantics that was initiated by Montague (1970) and developed by subsequent work. In this general approach, coordination and negation are treated following Keenan & Faltz (1978, 1985) using boolean algebras. As in Barwise & Cooper (1981) noun phrases uniformly denote objects in the boolean domain of generalized quanti®ers. These foundational assumptions, although elegant and minimalistic, are challenged by various phenomena of coordination, plurality and scope. The dissertation (...) solves these problems by developing a ¯exible process of meaning composition, as ®rst proposed by Partee & Rooth (1983). Flexible interpretation involves semantic operations without any phonological counterpart, which participate in the interpretation process and change meanings of overt expressions. The dissertation introduces a novel ¯exible system where a small number of operations describe the behaviour of complex phenomena such as `non-boolean' and, the scope of inde®nites and the semantics of collectivity with quanti®cational NPs. The proposed theory is based on a distinction between two features of meanings in natural language. (shrink)

The object-oriented ontology group of philosophies, and certain strands of posthumanism, overlook important ethical and biological differences, which make a difference. These allied intellectual movements, which have at times found broad popular appeal, attempt to weird life as a rebellion to the forced melting of lifeforms through the artefacts of capitalist realism. They truck, however, in a recursive solipsism resulting in ontological flattening, overlooking that things only show up to us according to our attunement to them. Ecology and biology tend (...) to get lost in the celebration of “thingness,” which puts on par artifacts, trash, and living beings. Such abstractions fail to understand the political, ethical, and ontological implications of eliding the animate/nonanimate distinction, which from the opposite direction (of flattening) reproduce the same violences of historical colonialism (hierarchical humanism). I argue that ontological flattening entails epistemological narcissism, fails to take into account plural (interspecies) perspectives, and propose biosemiotics can address these shortcomings through becoming-with nonhuman knowledge. (shrink)

Ascriptions of objectivity carry significant weight. But they can also cause confusion because wildly different ideas of what it means to be objective are common. Faced with this, some philosophers have argued that objectivity should be eliminated. I will argue, against one such position, that objectivity can be useful even though it is plural. I will then propose a contextualist approach for dealing with objectivity as a way of rescuing what is useful about objectivity while acknowledging its plurality.

Plural expressions found in natural languages allow us to talk about many objects simultaneously. Plural logic — a logical system that takes plurals at face value — has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic (...) analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic's applications than has been given thus far. Questions about the correct logic of plurals play a central role in the final chapters, where traditional plural logic is rejected in favor of a "critical" alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes. (shrink)

Priority monism (hereafter, ‘monism’) is the view that there exists one fundamental entity—the world—and that all other objects that exist (a set of objects typically taken to include tables, chairs, and the whole menagerie of everyday items) are merely derivative. Jonathan Schaffer has defended monism in its current guise, across a range of papers. Each paper looks to add something to the monistic picture of the world. In this paper we argue that monism—as Schaffer describes it—is false. To (...) do so we develop an ‘island universe’ argument against Schaffer's monistic theory. (shrink)

Leibniz argues that Cartesian extension lacks the unity required to be a substance. A key premise of Leibniz’s argument is that matter is a collection or aggregation. I consider an objection to this premise raised by Leibniz’s correspondent Burchard de Volder and consider a variety of ways that Leibniz might be able to respond to De Volder’s objection. I argue that it is not easy for Leibniz to provide a dialectically relevant response and, further, that the difficulty arises from Leibniz’s (...) commitment to part-whole priority in the case of material wholes, a commitment not shared by De Volder. One major implication is that Leibniz relies on a bottom-up conception of material things, which makes his argument vulnerable to objections stemming from certain types of monist positions. (shrink)

In The Principles of Mathematics, Russell writes: Whatever may be an object of thought, or may occur in any true or false proposition, or can be counted as one, I call a term. This, then, is the widest word in the philosophical vocabulary. I shall use as synonymous with it the words unit, individual and entity. The first two emphasize the fact that every term is one, while the third is derived from the fact that every term has being, i.e. (...) is in some sense. A man, a moment, a number, a class, a relation, a chimera, or anything else that can be mentioned, is sure to be a term'. Now in this remark, a certain extremely general, topic-neutral use of ‘object’ is singled out, a use in which the expression is treated as equivalent to (equally neutral) uses of ‘term’, ‘entity’, ‘unit’, ‘individual’, and ‘thing’. In addition, a claim is made to the effect that the content of the expression, with its emphasis on one, is such as to be adequate to comprehend the sum-total of existence, to include whatever there may be. The paper addresses the question of what this claim means, and whether it might be true. (shrink)

<I>Off Beat: Pluralizing Rhythm </I>draws attention to rhythm as a tool for analyzing various cultural objects. In fields as diverse as music, culture, nature, and economy, rhythm can be seen as a phenomenon that both connects and divides. It suggests a certain measure with which people, practices, and cultures may comply. Yet, for this very reason rhythm can also function as a field of exclusion, contestation, and debate. In that respect, rhythm possesses an underestimated meaning-creating potential. Whereas its connecting (...) force is often accentuated in the aesthetic, political, and commercial usage of the term, the divisive aspect of rhythm is at least as important. This volume wants to rid rhythm of its harmless, nearly esoteric, reputation as a cosmic unifier by understanding it in the light of the contemporary medial turn. In the present collection of essays, we have encouraged approaches that combine political, aesthetic, musical, and theoretical dimensions of rhythm. (shrink)

Plural logic is widely assumed to have two important virtues: ontological innocence and determinacy. It is claimed to be innocent in the sense that it incurs no ontological commitments beyond those already incurred by the first-order quantifiers. It is claimed to be determinate in the sense that it is immune to the threat of non-standard interpretations that confronts higher-order logics on their more traditional, set-based semantics. We challenge both claims. Our challenge is based on a Henkin-style semantics for (...) class='Hi'>plural logic that does not resort to sets or set-like objects to interpret plural variables, but adopts the view that a plural variable has many objects as its values. Using this semantics, we also articulate a generalized notion of ontological commitment which enables us to develop some ideas of earlier critics of the alleged ontological innocence of plural logic. (shrink)

In this paper we show that focus structure determines the interpretation of bare plurals in English: topic bare plurals are interpreted generically, focused bare plurals are interpreted existentially. When bare plurals are topics they must be specific, i.e. they refer to kinds. After type-shifting they introduce variables which can be bound by the generic quantifier, yielding characterizing generics. Existentially interpreted bare plurals are not variables, but denote properties that are incorporated into the predicate.The type of predicate determines the interpretation of (...) its bare plural subject. The individual/stage-level distinction, though important, is not sufficient: since only arguments can be topics, only those stage-level predicates which have locative arguments can have existential bare plural subjects.Certain verbs (e.g., hate) fail to incorporate their bare plural objects; therefore no existential reading of the object is available. We provide a novel solution to this puzzle based on the following two claims: (i) incorporated bare plurals do not introduce discourse referents; (ii) nonincorporating verbs are presuppositional. (shrink)

This essay develops a form of scientific pluralism that captures essential features of contemporary scientific practice largely ignored by the various forms of scientific pluralism currently discussed by philosophers. My starting point is Hacking's concept of style of scientific reasoning. I extend Hacking's thesis by proposing the process of “ontological enrichment” to grasp how the objects created by a style articulate with the common objects of scientific inquiry. The result is “foliated pluralism,” which puts to the fore the (...) transdisciplinary and cumulative ways of proceeding in science, as well as the historical dimension of the genesis of scientific objects. (shrink)

This article argues that the concept of deliberation is construed too narrowly in political corporate social responsibility (CSR) and that a concept of deliberation for political CSR should err toward useful speech acts rather than reciprocity and charity. It draws from the political philosophy, labor relations, and business ethics literatures to outline a framework for an extended notion of deliberative engagement. The characters of deliberative behavior and deliberative environment are held to generate four modes of engagement: strategic deliberation, unitarist deliberation, (...) pluralist deliberation, and deliberative activism. The article concludes by arguing that political CSR will be better positioned to realize its potential by moving away from primarily consensus-centered objectives to a more responsive range of deliberative goals and practice. (shrink)