This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

Extension of the logical language to deliver plural reference and the logical relations that constitute knowledge of the singular and plural acquires empirical bite just in case it conforms with increasing precision to the syntax of the natural language and affords explanation of what speakers know about the distribution and meaning of plural expressions in their language. As for the syntax of natural language, this discussion, being none too precise, is guided throughout by just two considerations and (...) their immediate consequences, which is discussed at greater length in this article. The first, morpheme univocality, is that a morpheme despite its various syntactic and morphological contexts has a single meaning that supports all its occurrences. (shrink)

Various syntacticians have argued that coordinate structures involve a three-dimensional syntactic structure. This paper proposes an interpretation of three-dimensional syntactic structures in terms of plural reference and argues that such structures give further support for plural reference, the view that plural terms refer to several entities at once, rather than referring to a single plural individual.

Neo-Fregeanism aims to provide a possible route to knowledge of arithmetic via Hume’s principle, but this is of only limited significance if it cannot account for how the vast majority of arithmetic knowledge, accrued by ordinary people, is obtained. I argue that Hume’s principle does not capture what is ordinarily meant by numerical identity, but that we can do much better by buttressing plural logic with plural versions of the ancestral operator, obtaining natural and plausible characterizations of various (...) key arithmetic concepts, including finiteness, equinumerosity and addition and multiplication of cardinality—revealing these to be logical concepts, and obtaining much of ordinary arithmetic knowledge as logical knowledge. Supplementing this with an abstraction principle and a simple axiom of infinity (known either empirically or modally) we obtain a full interpretation of arithmetic. (shrink)

Plural Temporality traces out a dynamic historical relationship between the texts of Spinoza and of Althusser. It interrogates Spinoza's text through Althusser and vice versa regarding the question of materialism.

Recent research in philosophy of science has shown that scientists rely on a plurality of strategies to develop successful explanations of different types of phenomena. In the case of biology, most of these strategies go far beyond the traditional and reductionistic models of scientific explanation that have proven so successful in the fundamental sciences. Concretely, in the last two decades, philosophers of science have discovered the existence of at least two different types of scientific explanation at work in the biological (...) sciences, namely: mechanistic and structural explanations. Despite the growing evidence about the radically different nature of these two types of explanation, no inquiry has been conducted to date to determine the ontological reasons that might underlie these differences, nor the way in which these types of explanations can be systematically related with each other. Here, we aim to cover this gap by connecting this plurality of research strategies with the existence of emergent levels of reality. We argue that the existence of these different—and apparently incompatible—explanatory strategies to account for biological phenomena derives from the existence of “ontological jumps” in nature, which generate different regimes of causation that in turn demand the development of different explanatory frameworks. We identify two of these strategies—mechanistic modelling and network modelling—and connect them to the existence of two ontological regimes of causation. Finally, we relate them with each other in a systematic way. In this vein, our paper provides an ontological justification for the plurality of explanatory strategies that we see in the life sciences. (shrink)

Plurality, Conjunction and Events presents a novel theory of plural and conjoined phrases, in an event-based semantic framework. It begins by reviewing options for treating the alternation between `collective' and `distributive' readings of sentences containing plural or conjoined noun phrases, including analyses from both the modern and the premodern literature. It is argued that plural and conjoined noun phrases are unambiguously group-denoting, and that the collective/distributive distinction therefore must be located in the predicates with which these noun (...) phrases combine. More specifically, predicates must have a hidden argument place for events; the collective/distributive distinction may then be represented in the part/whole structure of these events. This allows a natural treatment of `collectivizing' adverbial expressions, and of `pluractional' affixes; it also allows a unified semantics for conjunction, in which conjoined sentences and predicates denote groups of events, much like conjoined noun phrases denote groups of individuals. (shrink)

This collection of 15 accessible essays on neglected philosophical figures and traditions aims to provide readers with concrete access points to less familiar philosophical sources and methods. Showcasing the latest research by both up-and-coming and well-established scholars, each essay focuses on a particular topic relevant to the pluralization of the history of philosophy and offers advice for incorporating the figure, theme, or approach into the philosophy classroom.

Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These predicates can be true of some people without being true of any one of them; they are non-distributive predications. However, the apparatus of modern logic does not allow a place for them. Thomas McKay here explores the enrichment of logic with non-distributive plural predication and quantification. His book (...) will be of great interest to philosophers of language, linguists, metaphysicians, and logicians. (shrink)

The fourth-century thinker and theologian Gregory of Nyssa was a convinced realist about universals. According to him, there is just one substance man for all the individuals of the species man and this universal substance is completely instantiated by each individual. In two of his treatises – the Ad Ablabium and the Ad Graecos – he draws linguistic consequences from this realist position. This enquiry results in the thesis according to which it is incorrect to use natural kind terms in (...) the plural form, because that would involve stating a plurality of substances, when in fact there is just one substance for all the individuals of a given kind. In consequence, since the substance of all individual human beings is the same, the word ‘man’ can only be used adequately in the singular form. In this contribution, Gregory's reasoning is reconstructed. In the second part of the paper, the posterity of his theory and its endorsement by Theodore Abū Qurrah at the turn of the eighth and ninth centuries are examined. (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)

This paper criticizes George Boolos's famous use of plural quantification to argue that monadic second-order logic is pure logic. I deny that plural quantification qualifies as pure logic and express serious misgivings about its alleged ontological innocence. My argument is based on an examination of what is involved in our understanding of the impredicative plural comprehension schema.

This paper defends 'plural reference', the view that definite plurals refer to several individuals at once, and it explores how the view can account for a range of phenomena that have been discussed in the linguistic literature.

Plural and conflicting values are often held to be conceptually problematic, threatening the very possibility of ethics, or at least rational ethics. Rejecting this view, Stocker first demonstrates why it is so important to understand the issues raised by plural and conflicting values, focusing on Aristotle's treatment of them. He then shows that plurality and conflict are commonplace and generally unproblematic features of our everyday choice and action, and that they do allow for a sound and rational ethics.

The U.S. election in November 2016 raised and amplified doubts about first-past-the-post (“plurality rule”) electoral systems. Arguments against plurality rule and for alternatives like preferential voting tend to be consequentialist: it is argued that systems like preferential voting produce different, better outcomes. After briefly noting why the consequentialist case against plurality rule is more complex and contentious than it first appears, I offer an expressive alternative: plurality rule produces actual or apparent dilemmas for voters in ways that are morally objectionable, (...) and avoidable under preferential voting systems. This expressive case against plurality rule is both simpler and more ecumenical than its consequentialist counterpart, and it provides strong reasons to prefer alternatives to plurality rule. Moreover, it suggests a distinct way of evaluating different alternatives like preferential voting. (shrink)

Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.

Consider one of several things. Is the one thing necessarily one of the several? This key question in the modal logic of plurals is clarified. Some defenses of an affirmative answer are developed and compared. Various remarks are made about the broader philosophical significance of the question.

As with much contemporary philosophical and scientific research, the predominant metaphysics of situatedness is monism, particularly, physicalism. Here, we claim that while monism is the proper metaphysical thesis, empirically-supported theories of situated phenomena require ontological pluralism as well. We defend this position via the example of bird flocks, which are situated systems that exhibit ontologically plural features, namely, component dominance and interaction dominance. The description of these features will illustrate that understanding these phenomena requires a coevolution of conceptual and (...) methodological development. Specifically, ontological features are partially identified and evaluated by way of the analyses applied to them. Both descriptive and normative lessons are drawn. Descriptively, research on bird flocks demonstrate that natural phenomena may not be readily cast via a monistic ontology (e.g., component dominant), even at the same scale of investigation. The normative consequence is that while research on situated systems need not reject metaphysical monism, it ought to begin from a pluralistic position concerning ontology. (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)

One of the strongest strands in Nancy's philosophy is an attempt to rethink community and the very idea of the social in a way that does not ground these ideas in some individual subject or subjectivity. The fundamental argument of this book is that being is always 'being with', that 'I' is not prior to 'we', that existence is essentially co-existence. He thinks this being together, not as a comfortable enclosure in a pre-existing group, but as a mutual abandonment and (...) exposure to each other, one that would preserve the 'I' and its freedom in a mode of imagining community as neither a 'society of spectacle' nor via some form of 'authenticity'. (shrink)

What is the relation between some things and the set of these things? Mathematical practice does not provide a univocal answer. On the one hand, it relies on ordinary plural talk, which is implicitly committed to a traditional form of plural logic. On the other hand, mathematical practice favors a liberal view of definitions which entails that traditional plural logic must be restricted. We explore this predicament and develop a “critical” alternative to traditional plural logic.

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)

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)

Barry Schein proposes combining a second-order treatment of plurals with DonaldDavidson's suggestion that there are positions for reference to events in ordinary predicates inorder to account for several of the more puzzling features of ...

Bare plural generic sentences pervade ordinary talk. And yet it is extremely controversial what semantics to assign to such sentences. In this paper, I achieve two tasks. First, I develop a novel classification of the various standard uses to which bare plurals may be put. This “variety data” is important—it gives rise to much of the difficulty in systematically theorizing about bare plurals. Second, I develop a novel account of bare plurals, the radical account. On this account, all bare (...) plurals fail to express propositions. The content of a bare plural has to be pragmatically “completed” by a speaker in order for her to make an assertion. At least the content of a quantifier expression has to be supplied. But sometimes, the content of a sentential operator or modal verb is also supplied. The radical account straightforwardly explains the variety data: Speakers’ communicative intentions vary wildly across different contexts. (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)

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)

This paper develops an account of pluralities based on the following simple claim: some things are nothing over and above the individual things they comprise. For some, this may seem like a mysterious statement, perhaps even meaningless; for others, like a truism, trivial and inferentially inert. I show that neither reaction is correct: the claim is both tractable and has important consequences for a number of debates in philosophy.

It has been argued that quantum mechanics forces us to accept the existence of metaphysical, mind-independent indeterminacy. In this paper we provide an interpretation of the indeterminacy involved in the quantum phenomena in terms of a view that we call Plural Metaphysical Supervaluationism. According to it, quantum indeterminacy is captured in terms of an irreducibly plural relation between the actual world and various misrepresentations of it.

Plural definite descriptions across many languages display two well-known properties. First, they can give rise to so-called non-maximal readings, in the sense that they ‘allow for exceptions’. Second, while they tend to have a quasi-universal quantificational force in affirmative sentences, they tend to be interpreted existentially in the scope of negation. Building on previous works, we offer a theory in which sentences containing plural definite expressions trigger a family of possible interpretations, and where general principles of language use (...) account for their interpretation in various contexts and syntactic environments. Our theory solves a number of problems that these previous works encounter, and has broader empirical coverage in that it offers a precise analysis for sentences that display complex interactions between plural definites, quantifiers and bound variables, as well as for cases involving non-distributive predicates. The resulting proposal is briefly compared with an alternative proposal by Križ, which has similar coverage but is based on a very different architecture and sometimes makes subtly different predictions. (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)

Sentences that exhibit sensitivity to order (e.g. 'John and Mary arrived at school in that order' and 'Mary and John arrived at school in that order') present a challenge for the standard formulation of plural logic. In response, some authors have advocated new versions of plural logic based on fine-grained notions of plural reference, such as serial reference (Hewitt 2012) and articulated reference (Ben-Yami 2013). The aim of this article is to show that sensitivity to order should (...) be accounted for without altering the standard formulation of plural logic. In particular, sensitivity to order does not call for a fine-grained notion of plural reference. We point out that the phenomenon in question is quite broad and that current proposals are not equipped to deal with the full range of cases in which order plays a role. Then we develop an alternative and unified account, which locates the phenomenon not in the way in which plural terms can refer, but in the meaning of special expressions such as 'in that order' and 'respectively'. (shrink)

PG (Plural Grundgesetze) is a predicative monadic second-order system which exploits the notion of plural quantification and a few Fregean devices, among which a formulation of the infamous Basic Law V. It is shown that second-order Peano arithmetic can be derived in PG. I also investigate the philosophical issue of predicativism connected to PG. In particular, as predicativism about concepts seems rather un-Fregean, I analyse whether there is a way to make predicativism compatible with Frege’s logicism.

In this paper, I construct and defend an account of harm, specifically, all-things-considered overall harm. I start with a simple comparative account, on which an event harms a person provided that she would have been better off had it not occurred. The most significant problems for this account are overdetermination and preemption cases. However, a counterfactual comparative approach of some sort is needed to make sense of harm, or so I argue. I offer a counterfactual comparative theory that accounts nicely (...) for such cases, by taking claims about harm to be, potentially, irreducibly plural. In some cases, there are some events such that they are harmful, even if no one of them is such that it is harmful. I try to work out the details. (shrink)

Amartya Sen; XII*—Plural Utility, Proceedings of the Aristotelian Society, Volume 81, Issue 1, 1 June 1981, Pages 193–216, https://doi.org/10.1093/aristotelian/.

In Auch eine Geschichte der Philosophie (Also a History of Philosophy), Jürgen Habermas weaves together various themes such as faith and knowledge, history and theology, naturalism and epistemic justification, learning processes and moral development as well as multiculturalism and deliberative democracy in a transnational public sphere. This article argues that to articulate these multiple elements, Habermas adopts a robust framework built upon four conceptual pillars that can be clearly identified: postmetaphysical, postconventional, postnational, and postsecular. This “conceptual plurality” underlies his genealogy (...) of the centuries-long tension and mutual learning between religious faith and scientific knowledge in the Western philosophical tradition. By considering the interplay of these concepts, it is possible to understand the several ways in which religion emerges in contemporary society and the equally multiple strategies Habermas uses to interpret religion throughout his career, which are masterfully reconsidered and articulated in his opus magnum on religion. (shrink)

Amartya Sen; XII*—Plural Utility, Proceedings of the Aristotelian Society, Volume 81, Issue 1, 1 June 1981, Pages 193–216, https://doi.org/10.1093/aristotelian/.

Genuine agents are able to engage in activity because they find it worth pursuing—because they care about it. In this respect, they differ from what might be called “mere intentional systems”: systems like chess-playing computers that exhibit merely goal-directed behavior mediated by instrumental rationality, without caring. A parallel distinction can be made in the domain of social activity: plural agents must be distinguished from plural intentional systems in that plural agents have cares and engage in activity because (...) of those cares. In this paper, I sketch an account of what it is for an individual to care about things in terms of her exhibiting a certain pattern of emotions. After extending this account to make sense of an individual's caring about other agents, I then show how a certain sort of emotional connectedness among a group of people can make intelligible the group's having cares and thereby constitute that group as a plural agent. Alternative accounts of social action, by ignoring the difference between mere intentional systems and genuine agents, and so by leaving out these emotional entanglements from their accounts of social action, thereby fail to capture a whole range of social phenomena involving plural agents. (shrink)

The counterfactual comparative account of harm faces problems in cases that involve overdetermination and preemption. An influential strategy for dealing with these problems, drawing on a suggestion made by Derek Parfit, is to appeal to _plural harm_—several events _together_ harming someone. We argue that the most well-known version of this strategy, due to Neil Feit, as well as Magnus Jedenheim Edling’s more recent version, is fatally flawed. We also present some general reasons for doubting that the overdetermination and preemption problems (...) for the counterfactual comparative account can be satisfactorily solved by appealing to plural harm. (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)

Kirk Ludwig presents a philosophical account of institutional action, such as action by corporations and nation states, arguing that it can be understood exhaustively in terms of the agency of individuals and concepts constructed out of materials that are already at play in our understanding of individual action. He thus argues for a strong form of methodological individualism. The book provides a new account of the logical form of grammatically singular group action sentences (e.g. 'Company laid off 10,000 workers'), and (...) features new analyses of the concepts of a constitutive rule, status function, status role, collective acceptance, and proxy agency. He also provides an analysis of the structure of corporate action, including the status of corporations as legal persons, and of the nature of state action in relation to its citizens. This is the companion volume to From Individual to Plural Agency (OUP 2016), extending the multiple-agents account of collective action set out in the earlier volume. (shrink)

Atomism denies that complexes exist. Common-sense metaphysics may posit masses, composite individuals and sets, but atomism says there are only simples. In a singularist logic, it is difficult to make a plausible case for atomism. But we should accept plural logic, and then atomism can paraphrase away apparent reference to complexes. The paraphrases require unfamiliar plural universals, but these are of independent interest; for example, we can identify numbers and sets with plural universals. The atomist paraphrases would (...) fail if plurals presuppose complexes: but an Appendix shows that reference to complexes is not required in the semantics of plurals. (shrink)