Abstract
Simple locative sentences show a variety of pseudo-quantificational interpretations. Some locatives give the impression of universal quantification over parts of objects, others involve existential quantification, and yet others cannot be characterized by either of these quantificational terms. This behavior is explained by virtually all semantic theories of locatives. What has not been previously observed is that similar quantificational variability is also exhibited by locative sentences containing indefinites with the ‘a’ article. This phenomenon is especially problematic for traditional existential treatments of indefinites. We propose a solution where indefinites denote properties and are assigned locations similarly to other spatial descriptions. This Property-Eigenspace Hypothesis accounts for the correlation between the interpretations of locative indefinites and the pseudo-quantificational effects with simple entity-denoting NPs. Thereby, the proposal opens up a new empirical domain for property-based theories of indefinites, with implications for the analysis of collective descriptions, generics, negative polarity items and part–whole structure.
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References
Barker, C. (2015). Scope. In S. Lappin & C. Fox (Eds.), Handbook of contemporary semantic theory (2nd ed.). Oxford: Wiley-Blackwell.
Barwise J., Cooper R. (1981) Generalized quantifiers and natural language. Linguistics and Philosophy 4: 159–219
Bianchi, V., & Belletti, A. (2014). Indefinite subjects of unaccusatives. Lecture presented at the workshop specificity in the grammar: Form and interpretation, University of Trento, February 2014. Retrieved from http://clic.cimec.unitn.it/specificity/doc/bianchi-belletti-handout.pdf.
Büring, D. (2007). Cross-polar nomalies. In T. Friedman & M. Gibson (Eds.), Proceedings of semantics and linguistic theory, SALT17 (pp. 37–52). Ithaca, NY: Cornell University.
Carlson, G. N. (1977). Reference to kinds in English. PhD Thesis, University of Massachusetts at Amherst.
Carlson G.N., Pelletier F.J. (1995) The generic book. University of Chicago Press., Chicago
Casati R., Varzi A.C. (1999) Parts and places: The structures of spatial representation. MA: MIT Press., Cambridge
Chierchia G. (1998) Reference to kinds across languages. Natural Language Semantics 6: 339–405
Chung S., Ladusaw W.A. (2003) Restriction and saturation. MA: MIT Press, Cambridge
Cohen A. (2001) On the generic use of indefinite singulars. Journal of Semantics 18: 183–209
Condoravdi, C., Crouch, R., & van den Berg, M. (2001). Counting concepts. In R. van Rooy & M. Stokhof (Eds.), Proceedings of the thirteenth Amsterdam colloquium. Amsterdam: Institute for Logic, Language and Computation, University of Amsterdam.
Cruse D.A. (1979) On the transitivity of the part–whole relation. Journal of Linguistics 15: 29–38
Dayal, V. (1999). Bare NP’s, reference to kinds, and incorporation. In T. Matthews & D. Strolovitch (Eds.), Proceedings of semantics and linguistic theory, SALT9 (pp. 34–51). Ithaca, NY: Cornell University.
de Hoop H., Kramer I. (2006) Optimal interpretations of indefinite subjects and objects. Language Acquisition 13: 103–123
Doron, E. (1983). Verbless predicates in Hebrew. PhD Thesis, The University of Texas at Austin.
Farkas, D. F., & de Swart, H. (2003). The semantics of Incorporation: From argument structure to discourse transparency. Stanford, CA: CSLI Publications.
Fauconnier, G. (1975). Polarity and the scale principle. In R. E. Grossman, L. J. San, & T. J. Vance (Eds.), Papers from the eleventh regional meeting of the Chicago Linguistic Society (pp. 188–199). Chicago: Chicago Linguistic Society.
Fodor J.D., Sag I. (1982) Referential and quantificational indefinites. Linguistics and Philosophy 5: 355–398
Giannakidou A. (2001) The meaning of free choice. Linguistics and Philosophy 24: 659–735
Giannakidou, A. (2011). Negative and positive polarity items. In K. von Heusinger, C. Maienborn, & P. Portner (Eds.), Semantics: An international handbook of natural language meaning (Vol. 2, pp. 1660–1712). Berlin: De Gruyter.
Greenberg Y. (2007) Exceptions to generics: Where vagueness, context dependence and modality interact. Journal of Semantics 24: 131–167
Grimm, R. M., Lee, C., Poortman, E. B., & Winter, Y. (2014). Evidence for non-existential readings of locative indefinites. In T. Snider, S. D’Antonio, & M. Wiegand (Eds.), Proceedings of semantics and linguistic theory, SALT24 (pp. 197–212). Ithaca, NY: LSA and CLC Publications.
Groenendijk J., Stokhof M. (1991) Dynamic predicate logic. Linguistics and Philosophy 14: 39–100
Heim, I. (1982). The semantics of definite and indefinite noun phrases. PhD Thesis, University of Massachusetts at Amherst.
Heim, I. (2008). Decomposing antonyms? In A. Grønn (Ed.), Proceedings of SuB12 (pp. 212–225). Oslo: ILOS.
Herskovits, A. (1986). Language and spatial cognition: An interdisciplinary study of the prepositions in English. Cambridge: Cambridge University Press.
Iatridou, S. (2003). Two constructions in Greek and what we can learn from them. In Proceedings of the 6th international conference of Greek linguistics (Vol. 6).
Iatridou, S. (2007). A free-choice item hidden in verbal morphology. Unpublished MS, MIT.
Iris, M. A., Litowitz, B. E., & Evens, M. (1988). Problems of the part–whole relation. In M. Evens (Ed.), Relational models of the lexicon (pp. 261–288). Cambridge: Cambridge University Press.
Johansson, I. (2004). On the transitivity of parthood relations. In H. Hochberg & K. Mulligan (Eds.), Relations and predicates (pp. 161–181). Frankfurt: Ontos/Lancaster.
Kamp, H. (1981). A theory of truth and semantic representation. In J. Groenendijk, M. Stokhof, & T. M. V. Janssen (Eds.), Formal methods in the study of language (pp. 277–322). Amsterdam: Mathematisch Centrum.
Kamp, H., & Reyle, U. (1993). From discourse to logic: Introduction to modeltheoretic semantics of natural language, formal logic and discourse representation theory. Dordrecht: Kluwer.
Keenan, E. L., & Westerståhl, D. (2011). Generalized quantifiers in linguistics and logic. In J. van Benthem & A. ter Meulen (Eds.), Handbook of logic and language (Vol. 2, pp. 859–910). Amsterdam: Elsevier.
Kelley J.L. (1955) General topology. Springer, New York
Kroch, A. S. (1974). The semantics of scope in English. PhD Thesis, Massachusetts Institute of Technology.
Ladusaw, W. A. (1979). Polarity sensitivity as inherent scope relations. PhD Thesis, University of Texas, Austin.
Landman, F. (2014). Chapter 9: Predicates and properties. Unpublished class notes, Tel-Aviv University. Retrieved from http://www.tau.ac.il/landman/online-class-notes.html.
Lang, S. (1977). Linear algebra (2nd ed.). Reading, MA: Addison-Wesley.
Lawler, J. M. (1973). Studies in English generics. PhD Thesis, University of Michigan.
Mador-Haim, S., & Winter, Y. (2007). Non-existential indefinites and semantic incorporation of PP complements. In T. Friedman & M. Gibson (Eds.), Proceedings of semantics and linguistic theory, SALT17 (pp. 184–201). Ithaca, NY: Cornell University.
McNally L. (1998) Existential sentences without existential quantification. Linguistics and Philosophy 21: 353–392
McNally, L. (2009). Properties, entity correlates of properties, and existentials. In A. Giannakidou & M. Rathert (Eds.), Quantification, definiteness, and nominalization (pp. 163–187). Oxford: Oxford University Press.
McNally, L. (2011). Existential sentences. In K. von Heusinger, C. Maienborn, & P. Portner (Eds.), Semantics: An international handbook of natural language meaning (Vol. 2, pp. 1829–1848). Berlin: De Gruyter.
McNally, L. (2014). Strong and weak nominals. To appear in L. Matthewson, C. Meier, H. Rullmann, & T. E. Zimmermann (Eds.), Blackwell companion to semantics. New York: Wiley-Blackwell.
Milsark, G. (1974). Existential sentences in English. PhD Thesis, Massachusetts Institute of Technology.
Moltmann F. (1997) Parts and wholes in semantics. Oxford University Press., New York
Montague, R. (1973). The proper treatment of quantification in ordinary English. In J. Hintikka, J. Moravcsik, & P. Suppes (Eds.), Approaches to natural languages: Proceedings of the 1970 Stanford workshop on grammar and semantics. Dordrecht: D. Reidel. Reprinted from Formal philosophy: Selected papers of Richard Montague, by R. Thomason, Ed., 1974, New Haven: Yale.
Nam, S. (1994). Another type of negative polaity item. In M. Kanazawa & C. J. Piñón (Eds.), Dynamics, polarity and quantification (pp. 3–15). Stanford, CA: CSLI Publications.
Partee, B. (1987). Noun phrase interpretation and type shifting principles. In J. Groenendijk, D. de Jong, & M. Stokhof (Eds.), Studies in discourse representation theories and the theory of generalized quantifiers (pp. 115–144). Dordrecht: Foris.
Reinhart T. (1997) Quantifier scope: How labor is divided between QR and choice functions. Linguistics and Philosophy 20: 335–397
Scha, R. (1981). Distributive, collective and cumulative quantification. In J. Groenendijk, M. Stokhof, & T. M. V. Janssen (Eds.), Formal methods in the study of language (pp. 483–512). Amsterdam: Mathematisch Centrum.
Szabolcsi A. (2004) Positive polarity–negative polarity. Natural Language and Linguistic Theory 22: 409–452
Thijsse, E. (1983). On some proposed universals of natural language. In A. ter Meulen (Ed.), Studies in model theoretic semantics (pp. 19–36). Dordrecht: Foris.
Van Geenhoven, V. (1996). Semantic incorporation and indefinite descriptions: Semantic and syntactic aspects of noun incorporation in West Greenlandic. PhD Thesis, Universität Tübingen.
Van Geenhoven, V. (1998). Semantic incorporation and indefinite descriptions: Semantic and syntactic aspects of noun incorporation in West Greenlandic. Stanford, CA: CSLI Publications.
Van Geenhoven V., McNally L. (2005) On the property analysis of opaque complements. Lingua 115: 885–914
von Fintel K. (1999) NPI licensing, Strawson entailment, and context dependency. Journal of Semantics 16: 97–148
von Fintel, K. (2004). Would you believe it? The king of France is back! (presuppositions and truth-value intuitions). In M. Reimer & A. Bezuidenhout (Eds.), Descriptions and beyond (pp. 315–341). Oxford: Oxford University Press.
Von Heusinger, K. (2011). Specificity. In K. von Heusinger, C. Maienborn, & P. Portner (Eds.), Semantics: An international handbook of natural language meaning (Vol. 2, pp. 1025–1057). Berlin: De Gruyter.
Winston M., Chaffin R., Herrmann D. (1987) A taxonomy of part–whole relations. Cognitive Science 11: 417–444
Winter, Y. (2001). Flexibility principles in Boolean semantics: Coordination, plurality and scope in natural language. Cambridge, MA: MIT Press.
Winter, Y., & Scha, R. (2015). Plurals. In S. Lappin & C. Fox (Eds.), Handbook of contemporary semantic theory (Vol. 2). Oxford: Wiley-Blackwell.
Wunderlich D. (1991) How do prepositional phrases fit into compositional syntax and semantics?. Linguistics 29: 591–621
Zimmermann T.E. (1993) On the proper treatment of opacity in certain verbs. Natural Language Semantics 1: 149–179
Zwarts, F. (1998). Three types of polarity. In F. Hamm & E. Hinrichs (Eds.), Plurality and quantification (pp. 177–238). Dordrecht: Kluwer.
Zwarts J., Winter Y. (2000) Vector space semantics: A model-theoretic analysis of locative prepositions. Journal of Logic, Language and Information 9: 169–211
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Mador-Haim, S., Winter, Y. Far from obvious: the semantics of locative indefinites. Linguist and Philos 38, 437–476 (2015). https://doi.org/10.1007/s10988-015-9175-y
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DOI: https://doi.org/10.1007/s10988-015-9175-y