David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Analysis 68 (299):186–197 (2008)
where ‘aa’ is a plural term, and ‘F’ a plural predicate. Following George Boolos (1984) and others, many philosophers and logicians also think that plural expressions should be analysed as not introducing any new ontological commitments to some sort of ‘plural entities’, but rather as involving a new form of reference to objects to which we are already committed (for an overview and further details, see Linnebo 2004). For instance, the plural term ‘aa’ refers to Alice, Bob and Charlie simultaneously, and the plural predicate ‘F’ is true of some things just in case these things cooperate. A natural question that arises is whether the step from the singular to the plural can be iterated. Are there terms that stand to ordinary plural terms the way ordinary plural terms stand to singular terms? Let’s call such terms superplural. A superplural term would thus, loosely speaking, refer to several ‘pluralities’ at once, much as an ordinary plural term refers to several objects at once.1 Further, let’s call a predicate superplural if it can be predicated of superplural terms. It is reasonably straightforward to devise a formal logic of superplural terms, superplural predicates, and even superplural quantifiers (see Rayo 2006). But does this formal logic reflect any features of natural languages? In particular, does ordinary English contain superplural terms and predicates? The purpose of this article is to address these questions. We examine some earlier arguments for the existence of superplural expressions in English and find them to be either..
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References found in this work BETA
George Boolos (1984). To Be is to Be a Value of a Variable (or to Be Some Values of Some Variables). Journal of Philosophy 81 (8):430-449.
Cian Dorr & Gideon Rosen (2002). Composition as a Fiction. In Richard Gale (ed.), The Blackwell Companion to Metaphysics. Blackwell. 151--174.
Brendan S. Gillon (1992). Towards a Common Semantics for English Count and Mass Nouns. Linguistics and Philosophy 15 (6):597 - 639.
Nelson Goodman & Henry Leonard (1940). The Calculus of Individuals and its Uses. Journal of Symbolic Logic 5 (2):45-55.
A. P. Hazen (1997). Relations in Lewis’s Framework Without Atoms. Analysis 57 (4):243–248.
Citations of this work BETA
Øystein Linnebo & Agustín Rayo (2012). Hierarchies Ontological and Ideological. Mind 121 (482):269 - 308.
Alex Oliver & Timothy Smiley (2009). Sharvy's Theory of Descriptions: A Paradigm Subverted. Analysis 69 (3):412-421.
Ben Caplan (2011). Ontological Superpluralism. Philosophical Perspectives 25 (1):79-114.
Massimiliano Vignolo (2010). The Ontology of Products. Metaphysica 11 (1):1-16.
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