Abstract
A dilemma put forward by Schein (1993, Plurals and events. Cambridge MIT Press) and Rayo (2002, Noûs, 36, 436–464) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but plural logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets when characterizing their semantics, we arrive at a Russellian paradox. And if we use predicate logic and mereological sums, the semantics turns out to be too weak. We then develop an account where mass nouns are treated as non-singular terms. This semantics is faithful to the intuition that, if there are eight pieces of silverware on a table, the speaker refers to eight things at once when he says: The silverware that is on the table comes from Italy. We show that this account provides a satisfactory semantics for a wide range of sentences.
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References
Boolos G. (1984) To be is to be a value of a variable (or to be some values of some variables). Journal of Philosophy 81: 430–449
Bunt H.C. (1985) Mass terms and model-theoretic semantics. Cambridge University Press, Cambridge
Burge T. (1972) Truth and mass terms. Journal of Philosophy 69: 263–282
Cartwright H. (1965) Heraclitus and the bath water. Philosophical Review 74: 466–485
Casati R., Varzi A. (1999) Parts and places. The structures of spatial representation. MIT Press, Cambridge
Chierchia G. (1998) Plurality of mass nouns and the notion of “semantic parameter”. In: Rothstein S. (eds) Events and grammar. Kluwer Academic Publishers, Dordrecht, pp 53–103
Corbett G. (2000) Number. Cambridge University Press, Cambridge
Corblin F. (1987) Indéfini, défini et démonstratif. Droz, Geneva
Farkas, D. & de Swart, H. (2007). Inclusive and exclusive plurals reconciled. In M. Aloni, P. Dekker, & F. Roelofsen (Eds.), Proceedings of the 16th Amsterdam Colloquium. Palteam.
Gillon B.S. et al (1990) Bare plurals as plural indefinite noun phrases. In: Kyburg H.E. Jr (Eds) Knowledge representation and defeasible reasoning. Kluwer Academic Publishers, Dordrecht, pp 119–166
Gillon B.S. (1992) Towards a common semantics for English count and mass nouns. Linguistics and Philosophy 15: 597–639
Gillon B.S. (1996) Collectivity and distributivity internal to English noun phrases. Language Sciences 18: 443–468
Glanzberg M. (2004) Quantification and realism. Philosophy and Phenomenological Research 69: 541–572
Hawley K. (2001) How things persist. Clarendon Press, Oxford
Kaplan D. (1989) Demonstratives. In: Almog J., Perry J., Wettstein H. (Eds) Themes from Kaplan. Oxford University Press, New York, pp 481–563
Krifka M. (1991) Massennomina. In: von Stechow A., Wunderlich D. (eds). Semantik, ein internationales Handbuch. de Gruyter, Berlin, pp 399–417
Krifka M., Pelletier F.J., Carlson G.N., Chierchia G., Link G., ter Meulen A. (1995) Introduction to genericity. In: Carlson G.N., Pelletier F.J.(eds) The generic book. Chicago University Press, Chicago, pp 1–124
La Palme-Reyes M., Macnamara J., Reyes G.E. (1994) Reference, kinds and predicates. In: Macnamara J., Reyes G.E. (Eds) The logical foundations of cognition. Oxford University Press, Oxford, pp 91–145
La Palme-Reyes M., Macnamara J., Reyes G.E., Zolfaghari H. (1999) Count nouns, mass nouns, and their transformations: A unified category-theoretic semantics. In: Jackendoff R., Bloom P., Wynn K. (Eds) Language, logic and concepts. MIT Press, Cambridge, pp 427–452
Laycock H. (1972) Some questions of ontology. Philosophical Review 81: 3–42
Lewis D. (1991) Parts of classes. Oxford University Press, Oxford
Link G. (1983) The logical analysis of plurals and mass terms: A lattice-theoretical approach. In: Bauerle R., Schwartze C., von Stechow A. (Eds) Meaning, use and interpretation of language. Mouton de Gruyter, Berlin, pp 302–323
Linnebo, Ø (2008). Plural quantification. In E. N. Zalta (Ed.), The Stanford encyclopedia of philosophy (Spring 2008 edition). Retrieved from http://plato.stanford.edu/archives/spr2008/entries/pluralquant.
Linnebo Ø, Nicolas D. (2008) Superplurals in English. Analysis 68(3): 186–197
McKay T. (2006) Plural predication. Oxford University Press, Oxford
Nicolas, D. (1997, unpublished). Count nouns, mass nouns and their acquisition. Retrieved from http://d.a.nicolas.free.fr/research/Nicolas.MN.CN.Acquisition.pdf.
Nicolas, D. (2002a). La distinction entre noms massifs et noms comptables. Aspects linguistiques et conceptuels. Louvain: ÉEditions Peeters.
Nicolas, D. (2002b, unpublished). Conversions of count nouns into mass nouns in French: The roles of semantic and pragmatic factors in their interpretations. Retrieved from http://d.a.nicolas.free.fr/research/Nicolas-Conversions.pdf.
Oliver A., Smiley T. (2001) Strategies for a logic of plurals. Philosophical Quarterly 51: 289–306
Oliver A., Smiley T (2006) A modest logic of plurals. Journal of Philosophical Logic 35: 317–348
Parsons T. (1970) An analysis of mass and amount terms. Foundations of Language 6: 363–388
Pelletier J.F., Asher N. (1997) Generics and defaults. In: van Benthem J., terMeulen A. (Eds) Handbook of logic and language. Elsevier Science, Amsterdam, pp 1125–1177
Pelletier, J. F., & Schubert, L. (2003). Mass expressions. In D. Gabbay & F. Guenthner (Eds.), Handbook of philosophical logic (2nd ed., Vol. 10, pp. 249–336). Dordrecht: Kluwer Academic Publishers.
Quine W.V.O. (1960) Word and object. MIT Press, Cambridge
Rayo A. (2002) Word and objects. Noûs 36: 436–464
Rayo A. (2006) Beyond plurals. In: Rayo A., Uzquiano G.(eds) Absolute generality. Oxford University Press, Oxford, pp 220–254
Rayo, A., Uzquiano , G. (Eds) (2006a) Absolute generality. Oxford University Press, Oxford
Rayo A., Uzquiano G. (2006b) Introduction. In: Rayo A., Uzquiano G. (Eds) Absolute generality. Oxford University Press, Oxford, pp 1–19
Roeper P. (1983) Semantics for mass terms with quantifiers. Noûs 17: 251–265
Sauerland U., Andersen J., Yatsushiro K. (2005) The plural is semantically unmarked. In: Kepser S., Reis M. (Eds) Linguistic evidence. Mouton de Gruyter, Berlin
Schein B. (1993) Plurals and events. MIT Press, Cambridge
Schein B. (2006) Plurals. In: Lepore E., Smith B. (Eds) Handbook of philosophy of language. Oxford University Press, Oxford, pp 716–767
Schwarzschild R. (1996) Pluralities. Kluwer Academic Publishers, Dordrecht
Simons P. (1982) Plural reference and set theory. In: Smith B. (Eds) Parts and moments: Studies in logic and formal ontology. Philosophia Verlag, Munich, pp 113–159
Simons P. (1987) Parts. A study in ontology. Oxford University Press, Oxford
Simons P. (1997) Bolzano on collections. Grazer Philosophische Studien 53: 87–108
Strawson P.F. (1950) On referring. Mind 59: 320–344
Strawson P.F. (1959) Individuals. An essay in descriptive metaphysics. Methuen, London
Uzquiano G. (2006) The price of universality. Philosophical Studies 129: 137–169
van Inwagen P. (1990) Material beings. Cornell University Press, Ithaca
van Inwagen P. (1994) Composition as identity. Philosophical Perspectives 8: 207–220
Varzi A. (2000) Mereological commitments. Dialectica 54: 283–305
Varzi, A. (2006). Mereology. In E. N. Zalta (Ed.), The Stanford encyclopedia of philosophy (Winter 2006 edition). Retrieved from http://plato.standford.edu./archives/win2006/entries/merolog.
Williamson T. (2003) Everything. Philosophical Perspectives 17: 415–465
Yi B.-Y. (1999) Is mereology ontologically innocent?. Philosophical Studies 93: 141–160
Yi B.-Y. (2005) The logic and meaning of plurals. Part I. Journal of Philosophical Logic 34: 459–506
Yi B.-Y. (2006) The logic and meaning of plurals. Part II. Journal of Philosophical Logic 35: 239–288
Zimmerman D.W. (1995) Theories of masses and problems of constitution. Philosophical Review 104: 53–110
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I dedicate this paper to the memory of John Macnamara, psychologist and philosopher. Through his spoken words and written work, John made me discover, a long time ago, the fascinating topic of mass nouns and count nouns. (See La Palme-Reyes et al. 1994, 1999 for some of his last, collaborative work on the subject.) For discussion, I would like to thank Nicholas Asher, Francis Corblin, Steven Davis, Paul Egré, Randall Holmes, Paul Hovda, Kathrin Koslicki, Øystein Linnebo, Alex Oliver, Charles Parsons, Agustín Rayo, Barry Schein, Philippe Schlenker, Roger Schwarzschild, Lucia Tovena, Gabriel Uzquiano, Peter van Inwagen, and Sebastian Watzl, as well audiences at SOPHA 2006, Jean Nicod Colloquium 2006, Formal Semantics in Moscow 3, 16th Amsterdam Colloquium, and Journées de Sémantique et Modélisation 2008. Special thanks to Brendan Gillon for his comments and encouragements over the years, and to Denis Bonnay and two anonymous referees for their very detailed and useful criticisms.
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Nicolas, D. Mass nouns and plural logic. Linguist and Philos 31, 211–244 (2008). https://doi.org/10.1007/s10988-008-9033-2
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DOI: https://doi.org/10.1007/s10988-008-9033-2