Natural Language Semantics

, Volume 18, Issue 4, pp 435–470 | Cite as

A unified approach to split scope

Article

Abstract

The goal of this paper is to propose a unified approach to the split scope readings of negative indefinites, comparative quantifiers, and numerals. There are two main observations that justify this approach. First, split scope shows the same kinds of restrictions across these different quantifiers. Second, split scope always involves low existential force. In our approach, following Sauerland, natural language determiner quantifiers are quantifiers over choice functions, of type <<<et,e>,t>,t>. In split readings, the quantifier over choice functions scopes above other operators (such as intensional verbs like must or can). Determiner quantifiers leave a choice-function trace when they move and this trace combines with the noun restriction, which is interpreted low. That split scope always involves low existential force is derived, without stipulation, from Kratzer’s idea that low existential force can be achieved via binding (into the noun restriction).

Keywords

Split scope Negative indefinites Indefinites Comparative quantifiers Numerals Intensional operators Choice functions Pseudo-scope 

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References

  1. Abusch D. (1994) The scope of indefinites. Natural Language Semantics 2: 83–136CrossRefGoogle Scholar
  2. Bech, G. 1955/1957. Studien über das deutsche Verbum infinitum, Danske Vidensk-abernes Selskab: Historisk-filologiske meddelelser. Kopenhagen: Munksgaard.Google Scholar
  3. Breheny R. (2008) A new look at the semantics and pragmatics of numerically quantified noun phrases. Journal of Semantics 25: 93–140CrossRefGoogle Scholar
  4. Büring, D. 1995. The 59th Street Bridge Accent. On the meaning of topic and focus. PhD dissertation, Universität Tübingen.Google Scholar
  5. Carston, R. 1998. Informativeness, relevance and scalar implicature. In Relevance theory: Applications and implications, ed. R. Carston and S. Uchida, 179–236. Amsterdam: Benjamins.Google Scholar
  6. de Swart, H. 2000. Scope ambiguities with negative quantifiers. In Reference and anaphoric relations, ed. K. von Heusinger and U. Egli, 109–132. Dordrecht: Kluwer.Google Scholar
  7. Endriss, C. 2009. Quantificational topics—A scopal treatment of exceptional wide scope phenomena (Studies in Linguistics & Philosophy 86). Berlin: Springer.Google Scholar
  8. Fox, D. 2001. The Syntax and semantics of traces, talk given at the University of Connecticut, Storrs, November 2001.Google Scholar
  9. Geurts B. (1996) On No. Journal of Semantics 13: 67–86CrossRefGoogle Scholar
  10. Geurts B. (2000) Indefinites and choice functions. Linguistic Inquiry 31: 731–738CrossRefGoogle Scholar
  11. Geurts, B. 2006. Take “five”: the meaning and use of a number word. In Non-definiteness and plurality, ed. S. Vogeleer and L. Tasmowski, 311–329. Amsterdam: Benjamins.Google Scholar
  12. Hackl, M. 2000. Comparative quantifiers. PhD dissertation, MIT.Google Scholar
  13. Hackl M. (2009) On the grammar and processing of proportional quantifiers: Most versus more than half. Natural Language Semantics 17: 63–98CrossRefGoogle Scholar
  14. Heim, I. 2001. Degree operators and scope. In Audiatur Vox Sapientiae: A Festschrift for Arnim von Stechow (Studia Grammatica 52), ed. C. Féry and W. Sternefeld, 214–239. Berlin: Akademie Verlag.Google Scholar
  15. Heim I., Kratzer A. (1998) Semantics in generative grammar. Blackwell, MaldenGoogle Scholar
  16. Jacobs J. (1980) Lexical decomposition in Montague Grammar. Theoretical Linguistics 7: 121–136CrossRefGoogle Scholar
  17. Kennedy, C. 1994. Argument contained ellipsis. Linguistics Research Center Report LRC-94-03. San Diego: UCSC.Google Scholar
  18. Kennedy, C. 1997. Projecting the adjective. PhD dissertation, UCSC.Google Scholar
  19. Kratzer, A. 1991. Modality. In Semantik: Ein internationales Handbuch der zeitgenössischen Forschung, ed. A. von Stechow and D. Wunderlich, 639–650. Berlin: de Gruyter.Google Scholar
  20. Kratzer, A. 1998. Scope or pseudoscope? Are there wide scope indefinites? In Events in grammar, ed. S. Rothstein, 163–197. Dordrecht: Kluwer.Google Scholar
  21. Krifka, M. 1999. At least some determiners aren’t determiners. In The semantics/pragmatics interface from different points of view, ed. K. Turner, 257–291. Oxford: Elsevier.Google Scholar
  22. Nouwen R. (2010) Two kinds of modified numerals. Semantics and Pragmatics 3: 1–41CrossRefGoogle Scholar
  23. Penka, D. 2007. Negative indefinites. PhD dissertation, Universität Tu¨bingen.Google Scholar
  24. Potts, C. 2000. When even no’s NEG is Splitsville, contribution posted to Jorge Hankamer WebFest. http://www.stanford.edu/~cgpotts/papers/potts00-hankamer-webfest.pdf.
  25. Reinhart T. (1997) Quantifier scope. How labor is divided between QR and choice functions. Linguistics and Philosophy 20: 335–397Google Scholar
  26. Ross, H. 1984. Inner islands. In Proceedings of the tenth annual meeting of the Berkeley Linguistics Society, ed. C. Brugman, M. Macauley et al., 258–265. Berkeley: Berkeley Linguistics Society.Google Scholar
  27. Rullmann, H. 1995a. Maximality in the semantics of wh-constructions. PhD dissertation, University of Massachusetts at Amherst.Google Scholar
  28. Rullmann H. (1995) Geen einheid. Tabu 25: 194–197Google Scholar
  29. Sauerland, U. 1998. The meaning of chains. PhD dissertation, MIT.Google Scholar
  30. Sauerland, U. 2000. No no: On the cross-linguist absence of a determiner no. In Proceedings of the Tsukuba workshop on determiners and quantification, 415–444. Tsukuba University, Tsukuba.Google Scholar
  31. Sauerland U. (2004) The interpretation of traces. Natural Language Semantics 12: 63–127CrossRefGoogle Scholar
  32. Svenonius P. (2002) Strains of negation in Norwegian. Working Papers in Scandinavian Syntax 69: 121–146Google Scholar
  33. Winter Y. (1997) Choice functions and the scopal semantics of indefinites. Linguistics and Philosophy 20: 399–467CrossRefGoogle Scholar
  34. Winter Y. (2001) Flexibility principles in Boolean semantics: Coordination, plurality and scope in natural language. MIT Press, Cambridge MAGoogle Scholar
  35. Wurmbrand S. (2003) Infinitives, restructuring and clause structure. de Gruyter, BerlinGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Linguistics, Chandler HouseUniversity College LondonLondonUK
  2. 2.Center for Advanced Study in Theoretical Linguistics (CASTL), Det Humanistiske FakultetUniversitetet i TromsøTromsøNorway

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