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Plural Reference and Reference to a Plurality. Linguistic Facts and Semantic Analyses

In Massimiliano Carrara, Alexandra Arapinis & Friederike Moltmann (eds.), Unity and Plurality. Logic, Philosophy, and Semantics. Oxford: Oxford University Press. pp. 93-120 (2016)

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  1. The Many and the One: A Philosophical Study of Plural Logic.Salvatore Florio & Øystein Linnebo - 2021 - Oxford, England: Oxford University Press.
    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 (...)
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  • A Plural Reference Interpretation of Three-Dimensional Syntactic Trees.Friederike Moltmann - 2017 - In C. van Urk / H. Kotek / C. Halpert (eds.): A Pesky Set. Papers for David Pesetsky . MIT Working Papers in Linguistics (MITWPL) 80, MIT Cambridge (Mass.). Cambridge, MA:
    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.
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  • Mereological Singularism and Paradox.Eric Snyder & Stewart Shapiro - forthcoming - Erkenntnis:1-20.
    The primary argument against mereological singularism—the view that definite plural noun phrases like ‘the students’ refer to “set-like entities”—is that it is ultimately incoherent. The most forceful form of this charge is due to Barry Schein, who argues that singularists must accept a certain comprehension principle which entails the existence of things having the contradictory property of being both atomic and non-atomic. The purpose of this paper is to defuse Schein’s argument, by noting three necessary and independently motivated restrictions on (...)
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  • Composition, Identity and Plural Ontology.Roberto Loss - 2021 - Synthese 198 (10):9193-9210.
    According to ‘Strong Composition as Identity’, if an entity is composed of a plurality of entities, it is identical to them. As it has been argued in the literature, SCAI appears to give rise to some serious problems which seem to suggest that SCAI-theorists should take their plural quantifier to be governed by some ‘weak’ plural comprehension principle and, thus, ‘exclude’ some kinds of pluralities from their plural ontology. The aim of this paper is to argue that, contrary to what (...)
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  • Composition and Identities.Manuel Lechthaler - 2017 - Dissertation, University of Otago
    Composition as Identity is the view that an object is identical to its parts taken collectively. I elaborate and defend a theory based on this idea: composition is a kind of identity. Since this claim is best presented within a plural logic, I develop a formal system of plural logic. The principles of this system differ from the standard views on plural logic because one of my central claims is that identity is a relation which comes in a variety of (...)
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  • From Plurals to Superplurals: In Defence of Higher-Level Plural Logic.Berta Grimau Roca - 2018 - Dissertation, University of Glasgow
    Plural Logic is an extension of First-Order Logic with plural terms and quantifiers. When its plural terms are interpreted as denoting more than one object at once, Plural Logic is usually taken to be ontologically innocent: plural quantifiers do not require a domain of their own, but range plurally over the first-order domain of quantification. Given that Plural Logic is equi-interpretable with Monadic Second-Order Logic, it gives us its expressive power at the low ontological cost of a first-order language. This (...)
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  • Names Are Not Predicates.Heidi Savage - manuscript
    There are many examples offered as evidence that proper names are predicates. Not all of these cases speak to a name’s semantic content, but many of them do. Some of these include attributive, quantifier, and ambiguity cases. We will explore those cases here, and we will see that none of them conclusively show that names are predicates. In fact, all of these constructions can be given alternative analyses that eliminate the predicative characteristics of names they feature. These analyses do not (...)
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  • The Razor Argument of Metaphysics A.9.José Edgar González-Varela - 2018 - Phronesis 63 (4):408-448.
    I discuss Aristotle’s opening argument against Platonic Forms in _Metaphysics_ A.9, ‘the Razor’, which criticizes the introduction of Forms on the basis of an analogy with a hypothetical case of counting things. I argue for a new interpretation of this argument, and show that it involves two interesting objections against the introduction of Forms as formal causes: one concerns the completeness and the other the adequacy of such an explanatory project.
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  • Inheriting the World.Michel-Antoine Xhignesse - 2020 - Journal of Applied Logics 7 (2):163-70.
    A critical reflection on John Woods's new monograph, Truth in Fiction – Rethinking its Logic. I focus in particular on Woods’s world-inheritance thesis (what others have variously called ‘background,’ ‘the principle of minimal departure,’ and ‘the reality assumption,’ and which replaces Woods’s earlier ‘fill-conditions’) and its interplay with auctorial say-so, arguing that world-inheritance actually constrains auctorial say-so in ways Woods has not anticipated.
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  • Events and Countability.Friederike Moltmann - manuscript
    There is an emerging view according to which countability is not an integral part of the lexical meaning of singular count nouns, but is ‘added on’ or ‘made available’, whether syntactically, semantically or both. This view has been pursued by Borer and Rothstein among others in order to deal with classifier languages such as Chinese as well as challenges to standard views of the mass-count distinction such as object mass nouns such as furniture. I will discuss a range of data, (...)
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