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1 - Proportional Many/Much and Most

Published online by Cambridge University Press:  11 June 2021

Hana Filip
Affiliation:
Heinrich-Heine-Universität Düsseldorf
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Summary

This chapter concerns the proportional readings of many and most, for example, where many/most students are smart means ‘the ratio of smart students to non-smart students is high/greater than 1:1’. The authors argue for a GQ analysis of proportional most over Hackl’s adjectival analysis based on distributional differences between relative most (the most P) and proportional most (most P). This GQ analysis is also shown to be supported by morpho-syntactically complex realizations of proportional most, such as the Romanian cei mai mulţi ‘the.MPL more many.MPL’ and cele mai multe ‘the.FPL more many.FPL’. Turning to proportional many, they argue that it shares a syntactic position with cardinal many, namely, SpecMeasP below Det. For the semantics of proportional many, building on Solt’s degree-theoretic approach based on measure functions with a cardinality dimension, the authors propose that measure functions themselves can have a proportional interpretation, based on proportional scales, in which the measure of the entity across a certain dimension is evaluated with respect to the measure of a ‘whole’ in which that entity is included.

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Publisher: Cambridge University Press
Print publication year: 2021

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References

Beyssade, C., and Dobrovie-Sorin, C. (2005). A syntax-based analysis of predication. In Georgala, E. and Howell, J. (eds.), Proceedings of SALT 2004, pp. 4461. Ithaca, NY: Cornell University Press.Google Scholar
Bhatt, Rajesh (2002). The raising analysis of relative clauses: Evidence from adjectival modification. Natural Language Semantics 10: 4390.CrossRefGoogle Scholar
Bianchi, Valentina (1999). Consequences of Antisymmetry: Headed Relative Clauses. Berlin: Mouton de Gruyter.CrossRefGoogle Scholar
Bobaljik, Jonathan (2012). Universals in Comparative Morphology. Cambridge: MIT Press.CrossRefGoogle Scholar
Braşoveanu, A., and Farkas, D. (2011). How indefinites choose their scope. Linguistics and Philosophy 34: 155.Google Scholar
Büring, Daniel (1996). A weak theory of strong readings. In Galloway, Teresa and Spence, Justin (eds.), Proceedings of SALT vi, pp. 1734. Ithaca, NY: Cornell University, http://journals.linguisticsociety.org/proceedings/index.php/SALT/article/view/2779/2519.Google Scholar
Carlson, Gregory N. (1977). A unified analysis of the English bare plural. Linguistics and Philosophy 1: 413457.Google Scholar
Chierchia, Gennaro (1998). Reference to kinds across languages. Natural Language Semantics 6.4: 339405.Google Scholar
Chierchia, Gennaro (2001). A puzzle about indefinites. In Cecchetto, Carlo, Chierchia, Gennaro, and Teresa Guasti, Maria (eds.), Semantic Interfaces, pp. 5190. Stanford, CA: CSLI.Google Scholar
Cohen, Ariel (2001). Relative readings of many, often and generics. Natural Language Semantics 69: 4167.Google Scholar
Cohen, Ariel, and Erteschik-Shir, Nomi (2002). Topic, focus and the interpretation of bare plurals. Natural Language Semantics 10: 125165.Google Scholar
Coppock, E., and Beaver, D. (2011). Sole sisters. In Ashton, N., Chereches, A., and Lutz, D. (eds.), Proceedings of the 21st Semantics and Linguistic Theory Conference. New Brunswick, NJ: Rutgers University Press.Google Scholar
Coppock, E., and Beaver, D. (2014). A superlative argument for a minimal theory of definiteness. In Proceedings of SALT 24, pp. 177196. Ithaca, NY: Cornell University.Google Scholar
Croitor, Blanca, and Giurgea, Ion (2013). Relative superlatives and Deg-raising. Acta Linguistica Hungarica 63.4: 132.Google Scholar
Diesing, Molly (1992). Indefinites. Cambridge, MA: MIT Press.Google Scholar
Dobrovie-Sorin, C. (1990). Clitic doubling, wh-movement and quantification in Romanian. Linguistic Inquiry 21.3: 351397.Google Scholar
Dobrovie-Sorin, C. (1993). The Syntax of Romanian: Comparative Studies in Romance. Berlin: Mouton de Gruyter.Google Scholar
Dobrovie-Sorin, C. (1995). On the denotation and scope of indefinites. Venice Working Papers in Linguistics 5: 67114.Google Scholar
Dobrovie-Sorin, C. (1997a). Types of predicates and the representation of existential readings. In Lawson, A. (ed.), SALT vii, pp. 117134. Ithaca, NY: Cornell University Press.Google Scholar
Dobrovie-Sorin, C. (1997b). Classes de prédicats, distribution des indéfinis et la distinction thétique-catégorique. Le gré des langues 12: 5897.Google Scholar
Dobrovie-Sorin, C. (2009). Existential bare plurals: From properties back to entities. Lingua 119.2: 296313.Google Scholar
Dobrovie-Sorin, C. (2013). Most: The view from mass. In Aloni, Maria, Franke, Michael, and Roelofsen, Floris (eds.), Proceedings of the 19th Amsterdam Colloquium (AC), pp. 99107. Berlin: Springer.Google Scholar
Dobrovie-Sorin, C. (2014). Collective quantification and the homogeneity constraint. In Proceedings of SALT 2014, pp. 453–472.Google Scholar
Dobrovie-Sorin, C., and Beyssade, C. (2003). Définir les indéfinis. Paris: CNRS Editions.Google Scholar
Dobrovie-Sorin, C., and Beyssade, C. (2011). Redefining Indefinites. Berlin: Springer.Google Scholar
Dobrovie-Sorin, C., and Giurgea, Ion (2015). Weak reference and property denotation. Two types of pseudo-incorporated bare nominals. In Borik, Olga and Gehkre, Berit (eds.), The Syntax and Semantics of Pseudo-Incorporation, pp. 88125. Leiden and Boston, MA: Brill.Google Scholar
Dobrovie-Sorin, C., and Giurgea, Ion (forthcoming). Quantity Superlatives and Proportional Quantification. A Crosslinguistic Analysis of “Most.” Oxford: Oxford University Press.Google Scholar
Enç, M. (1991). The semantics of specificity. Linguistic Inquiry 22.1: 125.Google Scholar
Erteschik-Shir, M. (1997). The Dynamics of Focus Structure. Cambridge: Cambridge University Press.Google Scholar
Erteschik-Shir, M. (2007). Information Structure: The Syntax–Discourse Interface. Oxford: Oxford University Press.Google Scholar
Farkas, D. (1981). Quantifier scope and syntactic islands. In Hendrik, R. et al. (eds.), Papers from the Seventh Regional Meeting, Chicago Linguistic Society (CLS), pp. 5966. Chicago, IL: University of Chicago Press.Google Scholar
Farkas, D. (1997a). Dependent indefinites. In Corblin, F., Godard, D., and Marandin, J.-M. (eds.), Empirical Issues in Formal Syntax and Semantics. Selected Papers from the Colloque de Syntaxe et de Sémantique de Paris (CCSP 1995), pp. 243268. Bern: Lang.Google Scholar
Farkas, D. (1997b). Evaluation indices and scope. In Szabolcsi, A. (ed.), Ways of Scope Taking, pp. 183215. Dordrecht: Springer.Google Scholar
Farkas, D., and Katalin Kiss, E. (2000). On the comparative and absolute readings of superlatives. Natural Language and Linguistic Theory 18: 417455.Google Scholar
Farkas, D., and de Swart, H. (2003). The Semantics of Incorporation: From Argument Structure to Discourse Transparency. Stanford, CA: CSLI.Google Scholar
Fodor, Janet, and Sag, Ivan (1982). Referential and quantificational indefinites. Linguistics and Philosophy 5: 355398.CrossRefGoogle Scholar
Frawley, W. (2013). Linguistic Semantics. London and New York, NY: Routledge.Google Scholar
Gawron, Jean Mark (1995). Comparatives, superlatives, and resolution. Linguistics and Philosophy 18: 333380.Google Scholar
van Geenhoven, V. (1996). Semantic Incorporation and Indefinite Descriptions: Semantic and Syntactic Aspects of Noun Incorporation in West Greenlandic. PhD dissertation, Tübingen. Published in 1998 by CSLI.Google Scholar
Giurgea, Ion (2013). Originea articolului posesiv-genitival al şi evoluţia sistemului demonstrativelor în română. Bucharest, Editura Muzeului Naţional al Literaturii Române.Google Scholar
Glasbey, Sheila (1998). Bare plurals, situations and discourse context. In Moss, L., Ginzburg, J., and de Rijke, M. (eds.), Logic, Language and Computation 2, pp. 85105. Stanford, CA: CSLI.Google Scholar
Hackl, Martin (2000). Comparative Quantifiers. PhD dissertation, MIT.Google Scholar
Hackl, Martin (2009). On the grammar and processing of proportional quantifiers: Most versus more than half. Natural Language Semantics 17: 6398.Google Scholar
Hartmann, Jutta (2008). Expletives in Existentials. English there and German da. PhD dissertation, University of Utrecht.Google Scholar
Heim, Irene (1985). Notes on comparatives and related matters. Ms., University of Texas at Austin.Google Scholar
Heim, Irene (1999). Notes on superlatives. Ms., MIT.Google Scholar
Heim, Irene (2000). Degree Operators and Scope. Proceedings of Semantics and Linguistic Theory (SALT) x. Ithaca, NY: CLC Publications.Google Scholar
Heim, Irene (2006). Little. Proceedings of Semantics and Linguistic Theory (SALT) xvi. Ithaca, NY: CLC Publications.Google Scholar
Herburger, Elena (1997). Focus and weak noun phrases. Natural Language Semantics 5: 5378.Google Scholar
von Heusinger, Klaus (2007). Referentially anchored indefinite NPs. In Comorovski, Ileana and von Heusinger, Klaus (eds.), Existence: Syntax and Semantics, pp. 273292. Dordrecht: Springer.Google Scholar
Higginbotham, James (1994). Mass and count quantifiers. Linguistics and Philosophy 17.5: 447480.Google Scholar
Hoeksema, Jack (1983). Plurality and conjunction. In ter Meulen, Alice G. B. (ed.), Studies in Modeltheoretic Semantics, pp. 6384. Dordrecht: Foris.Google Scholar
de Hoop, Helen, and Solà, Jaume (1996). Determiners, context sets, and focus. In Proceedings of the Fourteenth West Coast Conference on Formal Linguistics, pp. 155167. Stanford, CA: CSLI Publications.Google Scholar
Kayne, R. (2005). Movement and Silence. Oxford: Oxford University Press.CrossRefGoogle Scholar
Keenan, E. L. (1987). A semantic definition of “indefinite NP.” In Gutiérrez-Rexach, J. (ed.), Semantics: Critical Concepts in Linguistics, Vol. iii: Noun Phrase Classes, pp. 136164. London and New York, NY: Routledge.Google Scholar
Kiss, K. E. (1994). Focussing as predication. In Molnár, V. (ed.), The Architecture of Focus. Berlin: de Gruyter, pp. 169194.Google Scholar
Klein, Ewan (1981). The interpretation of adjectival, adverbial and nominal comparatives. In Groenendijk, J. A. G., Janssen, T. M. V., and Stokhof, M. B. J. (eds.), Formal Methods in the Study of Language. Volume 2. Mathematical Centre Tracts, 136, pp. 381398. Amsterdam: Mathematisch Centrum.Google Scholar
Krasikova, Sveta (2011). Definiteness in superlatives. In 18th Amsterdam Colloquium Pre-Proceedings, pp. 404414. Amsterdam: Institute for Logic, Language and Computation.Google Scholar
Kratzer, Angelika (1995). Stage-level and individual-level predicates. In Carlson, G. N. and Pelletier, F. (eds.), The Generic Book, pp. 125175. Chicago, IL and London: University of Chicago Press.Google Scholar
Kratzer, Angelika (1998). Scope or pseudo-scope? Are there wide scope indefinites? In Rothstein, S. (ed.), Events and Grammar, pp. 163196. Dordrecht: Kluwer.Google Scholar
Krifka, Manfred (1999). At least some determiners aren’t determiners. In Turner, K. (ed.), The Semantics/Pragmatics Interface from Different Points of View, pp. 257291. Oxford: Elsevier.Google Scholar
Landman, Fred (2003). Predicate–argument mismatches and the adjectival theory of indefinites. In Coene, M. and D’hulst, Y. (eds.), From NP to DP, Volume 1: The Syntax and Semantics of Noun Phrases, pp. 211238. Amsterdam and Philadelphia, PA: John Benjamins.Google Scholar
Lønning, Jan Tore (1987). Mass terms and quantification. Linguistics and Philosophy 10: 152.Google Scholar
McNally, Louise (1995). Bare plurals in Spanish are interpreted as properties. In Morrill, G. and Oehrle, R. (eds.), Proceedings of the 1995 ESSLLI Conference on Formal Grammar, pp. 197222. Barcelona.Google Scholar
McNally, Louise (1998a). Existential sentences without existential quantification. Linguistics and Philosophy 31: 353392.Google Scholar
McNally, Louise (1998b). Stativity and theticity. In Rothstein, S. (ed.), Events and Grammar, pp. 293307. Dordrecht: Springer.Google Scholar
Milsark, Gary (1974). Existential Sentences in English. PhD Dissertation, MIT.Google Scholar
Milsark, Gary (1977). Toward an explanation of certain peculiarities in the existential construction in English. Linguistic Analysis 3: 130.Google Scholar
Mostowski, A. (1957). On a generalization of quantifiers. Fundamenta Mathematicae 44: 1236.Google Scholar
Partee, Barbara H. (1986). Noun phrase interpretation and type-shifting principles. In Groenendijk, J., de Jongh, D., and Stokhof, M. (eds.), Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers, pp. 115143. Dordrecht: Foris.CrossRefGoogle Scholar
Partee, Barbara H. (1989). Many quantifiers. In Powers, J. and de Jong, K. (eds.), Proceedings of the Fifth Eastern States Conference on Linguistics, pp. 383402. Columbus, OH: The Ohio State University.Google Scholar
Pesetsky, David (1987). Wh-in-situ: Movement and unselective binding. In Reuland, Eric and ter Meulen, Alice G. B. (eds.), The Representation of (In)definiteness, pp. 98129. Cambridge, MA, London: MIT Press.Google Scholar
Reinhart, Tanya (1997). Quantifier scope. How labor is divided between QR and choice functions. Linguistics and Philosophy 20: 335397.Google Scholar
Rescher, N. (1964). The Development of Arabic Logic. Pittsburgh, PA: University of Pittsburgh Press.Google Scholar
Rescher, N. (2004). Epistemic Logic. Pittsburgh, PA: University of Pittsburgh Press.Google Scholar
Romero, Maribel (2015). The conservativity of many. In Proceedings of the 20th Amsterdam Colloquium, http://semanticsarchive.net/Archive/mVkOTk2N/AC2015-proceedings.pdf.Google Scholar
Ruys, Eddy G. (1992). The Scope of Indefinites. PhD Dissertation, University of Utrecht.Google Scholar
Schwarzchild, Roger (2006). The role of dimensions in the syntax of noun-phrases. Syntax 9:1: 67110.CrossRefGoogle Scholar
Sharvit, Yael, and Stateva, Penka (2002). Superlative expressions, context and focus. Linguistics and Philosophy 25.4: 453504.Google Scholar
Solt, Stephanie (2009). The Semantics of Adjectives of Quantity. PhD Dissertation, City University of New York.Google Scholar
Solt, Stephanie (2015). Q-adjectives and the semantics of quantity. Journal of Semantics 32.2: 221273.Google Scholar
Solt, Stephanie (2017). Proportional comparatives and relative scales. Proceedings of Sinn und Bedeutung 21, 11231140.Google Scholar
von Stechow, Arnim (1984). Comparing semantic theories of comparison. Journal of Semantics 3: 177.Google Scholar
von Stechow, Arnim (2005). Temporal comparatives: Früher (earlier”), später (“ later”). Handout available at www.sfs.uni-tuebingen.de/~astechow/Handouts/frueher.pdf.Google Scholar
Steedman, Mark (2006). Surface-compositional scope-alternation without existential quantifiers. Ms. available at http://homepages.inf.ed.ac.uk/steedman/papers.html.Google Scholar
Steedman, Mark (2012). Taking Scope. The Natural Semantics of Quantifiers. Cambridge, MA, London: MIT Press.Google Scholar
Szabolcsi, Anna (1986). Comparative superlatives. In Fukui, N., Rapoport, T., and Sagey, E. (ed.), Papers in Theoretical Linguistics, pp. 245265. Cambridge, MA: MIT.Google Scholar
Szabolcsi, Anna (2010). Quantification. Cambridge: Cambridge University Press.Google Scholar
Szabolcsi, Anna (2012a). Compositionality without word boundaries: (The) more and (the) Most. Talk given at SALT 22, available at Semantics Archive or Lingbuzz.Google Scholar
Szabolcsi, Anna (2012b). Word-less compositionality: Case studies in quantification. Colloquium at UCLA, February 24, 2012. Slides available at https://files.nyu.edu/as109/public/szabolcsi_word-less_ucla.pdf.Google Scholar
Tasmowski, L., and Laca, B. (2000). Le pluriel indéfini et les référents de discours. In Moeschler, J. and Béguelin, M. J. (eds.), Référence temporelle et nominale, pp. 191207. Bern: Lang.Google Scholar
Teodorescu, V. A. (2009). Modification in the Noun Phrase. PhD dissertation, University of Texas at Austin.Google Scholar
Villalta, E. (1995). Plural indefinites in Spanish and distributivity. Talk given at Going Romance.Google Scholar
Westerståhl, Dag (1985). Logical constants in quantifier languages. Linguistics and Philosophy 8: 387413.Google Scholar
Winter, Yoad (1997). Choice functions and the scopal semantics of indefinites. Linguistics and Philosophy 20: 399467.Google Scholar
Živanović, Sašo (2007). Quantificational Aspects of LF. PhD dissertation, University of Ljubljana.Google Scholar

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