Skip to main content
Log in

Split-scope definites: Relative superlatives and Haddock descriptions

  • Original Research
  • Published:
Linguistics and Philosophy Aims and scope Submit manuscript

Abstract

This paper argues for a particular semantic decomposition of morphological definiteness. I propose that the meaning of ‘the’ comprises two distinct compositional operations. The first builds a set of witnesses that satisfy the restricting noun phrase. The second tests this set for uniqueness. The motivation for decomposing the denotation of the definite determiner in this way comes from split-scope intervention effects. The two components—the selection of witnesses on the one hand and the counting of witnesses on the other—may take effect at different points in the composition of a constituent, and this has non-trivial semantic consequences when other operators inside the DP take action in between them. In particular, I analyze well-known examples of mutually recursive definite descriptions like ‘the rabbit in the hat’ (when there are two rabbits and two hats but only one rabbit in a hat and only one hat with a rabbit in it) as examples of definites whose referent-introducing and referent-testing components are interleaved rather than nested. I further demonstrate that this picture leads to a new theory of relative superlative descriptions like ‘the kid who climbed the highest tree’ (when there is no highest tree per se, only a highest tree-climbing kid), which explains the previously mysterious role of the definite determiner in licensing such readings.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abels, K., & Marti, L. (2010). A unified approach to split scope. Natural Language Semantics, 18(4), 435–470.

    Article  Google Scholar 

  • Barker, C. (1995). Possessive descriptions. Stanford University: CSLI Publications.

    Google Scholar 

  • Barker, C. (2001). Introducing continuations. In R. Hastings, B. Jackson, & Z. Zvolenszky (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 11, pp. 20–35). New York: New York University.

    Google Scholar 

  • Barker, C. (2004). Possessive weak definites. In B. Partee, J.-Y. Kim, & Y. A. Lander (Eds.), Possessives and beyond: Semantics and syntax (University of Massachusetts occasional papers in linguistics) (Vol. 29, pp. 89–113). Amherst, MA: GLSA Publications.

    Google Scholar 

  • Barker, C. (2011). Possessives and relational nouns, chap. 48. In C. Maienborn, K. von Heusinger, & P. Portner (Eds.), Semantics: An international handbook of natural language meaning (pp. 1109–1130). Berlin: De Gruyter Mouton.

    Google Scholar 

  • Barker, C., & Shan, C. (2008). Donkey anaphora is in-scope binding. Semantics and Pragmatics, 1(1), 1–46. doi:10.3765/sp.1.1.

    Google Scholar 

  • Barker, C., & Shan, C. (2014). Continuations and natural language (Oxford Studies in Theoretical Linguistics) (Vol. 53). Oxford: Oxford University Press.

    Book  Google Scholar 

  • Beaver, D. (2001). Presupposition and assertion in dynamic semantics (Studies in logic, language, and information). Stanford University: CSLI Publications.

    Google Scholar 

  • Beck, S., & Sauerland, U. (2000). Cumulation is needed: A reply to Winter (2000). Natural Language Semantics, 8(4), 349–371.

    Article  Google Scholar 

  • Bhatt, R. (2002). The raising analysis of relative clauses: Evidence from adjectival modification. Natural Language Semantics, 10(1), 43–90.

    Article  Google Scholar 

  • Bobaljik, J. D. (2012). Universals in comparative morphology: Suppletion, superlatives, and the structure of words (Current Studies in Linguistics) (Vol. 50). Cambridge, MA: MIT Press.

    Google Scholar 

  • Bos, J. (2009). Computing genitive superlatives. In Proceedings of the eighth international conference on computational semantics (Association for Computational Linguistics) (pp. 18–32).

  • Brasoveanu, A. (2007). Structured nominal and modal reference, Ph.D. Dissertation. Rutgers University.

  • Brasoveanu, A. (2012). Modified numerals as post-suppositions. Journal of Semantics. doi:10.1093/jos/ffs003.

  • Bumford, D. (2017a). Not the only game in town: Relative and indeterminate exclusive descriptions. Unpublished manuscript, New York University.

  • Bumford, D. (2017b). Split-scope effects in definite descriptions, Ph.D. Dissertation. New York University.

  • Chacón, D. & Wellwood, A. (2012). A superlative puzzle for Bošković’s NP/DP parameter. Un-published handout, Workshop on languages with and without articles. http://archive.sfl.cnrs.fr/sites/sfl/IMG/pdf/lsalaa2012ChaconWellwood.pdf.

  • Champollion, L. & Sauerland, U. (2010). Move and accommodate: A solution to haddock’s puzzle. In O. Bonami & P. Cabredo Hofherr (Eds.), Empirical issues in syntax and semantics, 8 (pp. 27–52).

  • Charlow, S. (2014). On the semantics of exceptional scope, Ph.D. Dissertation. New York University.

  • Charlow, S. (2017). Post-suppositions and semantic theory. Unpublished manuscript, Rutgers University.

  • Clark, H. (1975). Bridging. In Proceedings of the 1975 workshop on theoretical issues in natural language processing (Association for Computational Linguistics) (pp. 169–174).

  • Coppock, E., & Beaver, D. (2012a). Exclusivity, uniqueness, and definiteness. In C. Piñón (Ed.), Empirical issues in syntax and semantics 9 (pp. 1–17).

  • Coppock, E., & Beaver, D. (2012b). Weak uniqueness: The only difference between definites and indefinites. In A. Chereches, N. Ashton, & D. Lutz (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 22, pp. 527–544).

  • Coppock, E. & Beaver, D. (2014). A superlative argument for a minimal theory of definiteness. In T. Snider, S. D’Antonio & M. Wiegand (Eds.), Proceedings of semantics and linguistic theory (SALT) 24 (pp. 177–196).

  • Coppock, E., & Beaver, D. (2015). Definiteness and determinacy. Linguistics and Philosophy, 38(5), 377–435. doi:10.1007/s10988-015-9178-8.

    Article  Google Scholar 

  • Cresti, D. (1995). Extraction and reconstruction. Natural Language Semantics, 3(1), 79–122.

    Article  Google Scholar 

  • Dechter, R. (2003). Constraint processing. San Francisco, CA: Morgan Kaufmann Publishers.

    Google Scholar 

  • den Dikken, M., Larson, R., & Ludlow, P. (1997). Intensional “transitive” verbs and concealed complement clauses. In P. Ludlow (Ed.), Readings in the philosophy of language (pp. 1041–1054). Cambridge, MA: MIT Press.

    Google Scholar 

  • Djalali, A. (2014). On adjectival comparatives, Ph.D. Dissertation. Stanford University.

  • Farkas, D., & Kiss, K. E. (2000). On the comparative and absolute readings of superlatives. Natural Language and Linguistic Theory, 18(3), 417–455.

    Article  Google Scholar 

  • Gabbay, D., & Moravcsik, J. (1974). Branching quantifiers. English and Montague grammar. Theoretical Linguistics, 1(1), 139.

    Google Scholar 

  • Groenendijk, J., & Stokhof, M. (1991). Dynamic predicate logic. Linguistics and Philosophy, 14, 39–100. doi:10.1007/BF00628304.

    Article  Google Scholar 

  • Hackl, M. (2000). Comparative quantifiers, Ph.D. Dissertation. Massachusetts Institute of Technology.

  • Hackl, M. (2009). On the grammar and processing of proportional quantifiers: Most versus more than half. Natural Language Semantics, 17(1), 63–98. doi:10.1007/s11050-008-9039-x.

    Article  Google Scholar 

  • Haddock, N. (1987). Incremental interpretation and combinatory categorial grammar. In Proceedings of the 10th international joint conference on artificial intelligence (Vol. 2, pp. 661–663). Morgan Kaufmann Publishers Inc.

  • Hawkins, J. (1978). Definiteness and indefiniteness: A study in reference and grammaticality prediction (Vol. 11). London: Routledge.

    Google Scholar 

  • Heim, I. (1985). Notes on comparatives and related matters. Unpublished manuscript, University of Texas at Austin. http://semanticsarchive.net/Archive/zc0ZjY0M.

  • Heim, I. (1999). Notes on superlatives. Unpublished manuscript, MIT. http://semanticsarchive.net/Archive/TI1MTlhZ/.

  • Heim, I. (2000). Degree operators and scope. In B. Jackson & T. Matthews (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 10, pp. 40–64). Ithaca, NY: Cornell University.

    Google Scholar 

  • Heim, I., & Kratzer, A. (1998). Semantics in generative grammar. Oxford: Blackwell.

    Google Scholar 

  • Herdan, S., & Sharvit, Y. (2006). Definite and nondefinite superlatives and NPI licensing. Syntax, 9(1), 1–31. doi:10.1111/j.1467-9612.2006.00082.x.

    Article  Google Scholar 

  • Horacek, H. (1995). More on generating referring expressions. In Proceedings of the fifth European workshop on natural language generation (pp. 43–58). Leiden, The Netherlands.

  • Howard, E. (2014). Superlative degree clauses: Evidence from NPI licensing, MA thesis. Massachusetts Institute of Technology.

  • Kadmon, N. (1987) On unique and non-unique reference and asymmetric quantification, Ph.D. Dissertation. University of Massachusetts at Amherst.

  • Kennedy, C. (2015). A “de-Fregean” semantics (and neo-Gricean pragmatics) for modified and unmodified numerals. Semantics and Pragmatics, 8(10), 1–44. doi:10.3765/sp.8.10.

    Google Scholar 

  • Kennedy, C., & Stanley, J. (2009). On ‘average’. Mind, 118(471), 583–646. doi:10.1093/mind/fzp094.

    Article  Google Scholar 

  • Klein, E. (1980). A semantics for positive and comparative adjectives. Linguistics and Philosophy, 4(1), 1–45.

    Article  Google Scholar 

  • Krasikova, S. (2012) Definiteness in superlatives. In M. Aloni, V. Kimmelman, F. Roelofsen, G. W. Sassoon, K. Schulz & M. Westera (Eds.), Proceedings of the 17th Amsterdam colloquium (pp. 411–420). doi:10.1007/978-3-642-31482-7.

  • Kratzer, A., & Shimoyama, J. (2002). Indeterminate pronouns: The view from Japanese. In Y. Otsu (Ed.), Proceedings of the third Tokyo conference on psycholinguistics (pp. 1–25). Tokyo.

  • Larson, R. (1988). Scope and comparatives. Linguistics and Philosophy, 11(3), 1–26.

    Article  Google Scholar 

  • Larson, R. (1999). Semantics of adjectival modification. Lectures at the Dutch National Graduate School (LOT). Amsterdam. http://semlab5.sbs.sunysb.edu/~rlarson/LOT(99)/Contents.htmld/index.html.

  • Link, G. (1983). The logical analysis of plurals and mass terms: A lattice-theoretical approach. In R. Bäuerle, C. Schwarze, & A. von Stechow (Eds.), Meaning, use, and interpretation of language (Foundation of Communication) (pp. 302–323). New York: Walter de Gruyter.

    Google Scholar 

  • Lóbner, S. (1985). Definites. Journal of Semantics, 4(4), 279–326.

    Article  Google Scholar 

  • May, R. (1977) The grammar of quantification, Ph.D. Dissertation. Massachusetts Institute of Technology.

  • May, R. & Bale, A. (2005) Inverse linking. In The Blackwell companion to syntax (Vol. 2, pp. 639–667). Wiley Online Library.

  • McNally, L. (1998). Existential sentences with existential quantification. Linguistics and Philosophy, 21(4), 353–392.

    Article  Google Scholar 

  • Muskens, R. (1996). Combining Montague semantics and discourse representation. Linguistics and Philosophy, 19(2), 143–186. doi:10.1007/BF00635836.

    Article  Google Scholar 

  • Partee, B. (1986). Noun phrase interpretation and type-shifting principles. In J. Groenendijk, D. de Jongh, & M. Stokhof (Eds.), Studies in discourse representation theory and the theory of generalized quantifiers (pp. 115–144). Dordrecht: Foris.

    Google Scholar 

  • Partee, B., & Borschev, V. (2001). Some puzzles of predicate possessives. In I. Kenesei & R. M. Harnish (Eds.), Perspectives on semantics, pragmatics and discourse: A festschrift for ferenc kiefer (pp. 91–118). Amsterdam: John Benjamins Publishing Company.

    Chapter  Google Scholar 

  • Poesio, M. (1994). Weak definites. In M. Harvey & L. Santelmann (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 4, pp. 282–299). Rochester: University of Rochester.

    Google Scholar 

  • Prince, E. (1992). The ZPG letter: Subjects, definiteness, and information-status. In W. Mann & S. Thompson (Eds.), Discourse Description: Diverse Analyses of a Fund Raising Text (Pragmatics & Beyond) (Vol. 16, pp. 295–325). Philadelphia, PA: John Benjamins Publishing.

    Chapter  Google Scholar 

  • Rodman, R. (1976). Scope phenomena, “movement transformations”, and relative clauses. In B. Partee (Ed.), Montague grammar (pp. 165–176). New York: Academic Press.

    Chapter  Google Scholar 

  • Romero, M. (2013). Modal superlatives: A compositional analysis. Natural Language Semantics, 21(1), 79–110.

    Article  Google Scholar 

  • Rooth, M. (1996). On the interface principles for intonational focus. In T. Galloway & J. Spence (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 6, pp. 202–226). New Brunswick, NJ: Rutgers University.

    Google Scholar 

  • Russell, B. (1905). On denoting. Mind, 14, 479–493.

    Article  Google Scholar 

  • Russell, S. J., & Norvig, P. (1995). Artificial intelligence: A modern approach. Englewood Cliffs, NJ: Prentice Hall.

    Google Scholar 

  • Schwarz, B. (2005). Modal superlatives. In E. Georgala & J. Howell (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 15, pp. 187–204). Los Angeles: University of California.

    Google Scholar 

  • Schwarz, B. (2006). Attributive wrong. In Proceedings of the 25th west coast conference on formal linguistics (WCCFL) (pp. 362–370).

  • Schwarz, F. (2014). How weak and how definite are weak definites? In A. Aguilar-Guevara, B. Le Bruyn, & J. Zwarts (Eds.), Weak referentiality (pp. 213–236). Amsterdam: John Benjamins.

    Google Scholar 

  • Sharvit, Y. (2015). The onliest NP: Non-definite definites. In U. Steindl (Ed.), Proceedings of the 32nd west coast conference on formal linguistics (WCCFL) (pp. 171–190).

  • Sharvit, Y., & Stateva, P. (2002). Superlative expressions, context, and focus. Linguistics and Philosophy, 25(4), 453–505.

    Article  Google Scholar 

  • Smythe, F. (2013). The Kangchenjunga adventure: The 1930 expedition to the third highest mountain in the world. Vertebrate Graphics Limited.

  • Stateva, P. (2002). How different are different degree constructions? Ph.D. Dissertation. University of Connecticut.

  • Stone, M., & Webber, B. (1998). Textual economy through close coupling of syntax and semantics. In Proceedings of the ninth international workshop on natural language generation (INLG) (pp. 178–187). Niagara-on-the-Lake, ON.

  • Svenonius, P. (1994). The structural location of the attributive adjective. In Proceedings of 12th west coast conference on formal linguistics (WCCFL) (pp. 439–454).

  • Szabolcsi, A. (1986). Comparative superlatives. In N. Fukui, T. Rapoport & E. Sagey (Eds.), MIT working papers in linguistics (Vol. 8, pp. 245–265). Cambridge, MA.

  • Szabolcsi, A. (2012). Compositionality without word boundaries: (the) more and (the) most. In A. Chereches, N. Ashton, & D. Lutz (Eds.), Proceedings of semantics and linguistic theory (SALT) (Vol. 22, pp. 1–25). University of Chicago.

  • Takahashi, S. (2006). More than two quantifiers. Natural Language Semantics, 14(1), 57–101.

    Article  Google Scholar 

  • Teodorescu, A. (2006). Adjective ordering restrictions revisited. In D. Baumer, D. Montero & M. Scanlon (Eds.), Proceedings of 25th west coast conference on formal linguistics (WCCFL) (pp. 399–407).

  • Tomaszewicz, B. (2013). Focus association in superlatives and the semantics of -est. In M. Aloni, M. Franke & F. Roelofsen (Eds.), Proceedings of the 19th Amsterdam colloquium (pp. 226–233).

  • Tomaszewicz, B. (2015). Superlative ambiguities: A comparative perspective, Ph.D. Dissertation. University of Southern California.

  • van Eijck, J. (1993). The dynamics of description. Journal of Semantics, 10(3), 239–267.

    Article  Google Scholar 

  • von Fintel, K. (1994). Restrictions on quantifier domains, Ph.D. Dissertation. University of Massachusetts.

  • von Heusinger, K. (2007). Alternative semantics for definite NPs. On Information Structure, Meaning and Form, 100, 485–508.

    Article  Google Scholar 

  • van Rooij, R. (2011). Measurement and interadjective comparisons. Journal of Semantics, 28(3), 335–358. doi:10.1093/jos/ffq018.

    Article  Google Scholar 

  • Zimmermann, M. (2003). Pluractionality and complex quantifier formation. Natural Language Semantics, 11(3), 249–287.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dylan Bumford.

Additional information

Thanks to Chris Barker, Adrean Brasoveanu, Lucas Champollion, Philippe Schlenker, Anna Szabolcsi, and audiences at SALT 26, UCLA, and BU. Thanks especially to Simon Charlow for discussing early versions of the ideas in Charlow  (2017, unpublished manuscript) with me, which form the technical and conceptual basis for the hypothesis considered here.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bumford, D. Split-scope definites: Relative superlatives and Haddock descriptions. Linguist and Philos 40, 549–593 (2017). https://doi.org/10.1007/s10988-017-9210-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10988-017-9210-2

Keywords

Navigation