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Natural Language Semantics

, Volume 8, Issue 1, pp 27–69 | Cite as

Distributivity and Dependency

  • Yoad Winter
Article

Abstract

Sentences with multiple occurrences of plural definites give rise to certain effects suggesting that distributivity should be modeled by polyadic operations. Yet in this paper it is argued that the simpler treatment of distributivity using unary universal quantification should be retained. Seemingly polyadic effects are claimed to be restricted to definite NPs. This fact is accounted for by the special anaphoric (dependent) use of definites. Further evidence concerning various plurals, island constraints, and cumulative quantification is shown to support this claim. In addition, it is shown that the evidence against a simple atomic version of unary distributivity is not decisive either. In the (uncommon) cases where distributivity with definites is not strictly atomic, they can be analyzed as dependent on implicit quantifiers.

Keywords

Simple Treatment Universal Quantification Unary Distributivity Atomic Version Multiple Occurrence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. Bartsch, R.: 1973, 'The Semantics and Syntax of Number and Numbers', in J. P. Kimball (ed.), Syntax and Semantics, Vol. 2, pp. 51-99, Seminar Press, New York/London.Google Scholar
  2. Barwise, J. and R. Cooper: 1981, 'Generalized Quantifiers and Natural Language', Linguistics and Philosophy 4, 159-219.Google Scholar
  3. Bennett, M.: 1974, 'Some Extensions of a Montague Fragment of English', Ph.D. dissertation, University of California, Los Angeles.Google Scholar
  4. Brisson, C.: 1998, 'Distributivity, Maximality and Floating Quantifiers', Ph.D. dissertation, Rutgers University.Google Scholar
  5. Chierchia, G.: 1995, Dynamics of Meaning: Anaphora, Presupposition and the Theory of Grammar University of Chicago, Chicago. Google Scholar
  6. Chomsky, N.: 1975, 'Questions of Form and Interpretation', Linguistic Analysis 1, 75–105.Google Scholar
  7. Dalrymple, M., M. Kanazawa, S. Mchombo, and S. Petersq: 1994, 'What Do Reciprocals Mean?', in Proceedings of Semantics and Linguistic Theory, pp. 61–78, CLC Publications, Cornell University, Ithaca.Google Scholar
  8. Dowty, D.: 1987, 'Collective Predicates, Distributive Predicates and all', in Proceedings of the Eastern States Conference on Linguistics, pp. 97–115, Cas Cadilla Press, Somerville, Mass.Google Scholar
  9. Gillon, B.: 1987 'The Readings of Plural Noun Phrases in English', Linguistics and Philosophy 10, 199-219.Google Scholar
  10. Gillon, B.: 1990, 'Plural Noun Phrases and Their Readings: A Reply to Lasersohn', Linguistics and Philosophy 13, 477-485.Google Scholar
  11. Heim, I., H. Lasnik, and R. May: 1991, 'Reciprocity and Plurality', Linguistic Inquiry 22, 63-101.Google Scholar
  12. Hoeksema, J.: 1983, 'Plurality and Conjunction', in A. ter Meulen (ed.), Studies in Modeltheoretic Semantics., pp. 63-84, Foris, Dordrecht.Google Scholar
  13. Hoeksema, J.: 1988, 'The Semantics of Non-Boolean', Journal of Semantics 6, 19-40.Google Scholar
  14. Katz, J.: 1977, Propositional Structure and Illocutionary Force: A Study of the Contribution of Sentence Meaning to Speech Acts, Harvard University Press, Cambridge, Mass.Google Scholar
  15. Keenan, E.: 1987, 'A Semantic Definition of “Indefinite NP”', in E. Reuland and A. ter Meulen (eds.), The Representation of (In)definiteness, pp. 286-317, MIT Press, Cambridge, Mass.Google Scholar
  16. Krifka, M.: 1989, 'Nominal Reference, Temporal Constitution and Quantification in Event Semantics', in R. Bartsch, J. van Benthem, and P. van Emde Boas (eds.), Semantics and Contextual Expression, pp. 75-115, Foris, Dordrecht.Google Scholar
  17. Krifka, M.: 1992, 'Definite NPs Aren't Quantifiers', Linguistic Inquiry 23, 156-163.Google Scholar
  18. Kroch, A. S.: 1974, 'The Semantics of Scope in English', Ph.D. dissertation, MIT.Google Scholar
  19. Landman, F.: 1989, 'Groups I & II', Linguistics and Philosophy 12, 559-605, 723-744.Google Scholar
  20. Landman, F.: 1996, 'Plurality', in S. Lappin (ed.), The Handbook of Contemporary Semantic Theory, pp. 425-451, Blackwell, Malden.Google Scholar
  21. Landman, F.: 1997, 'Events and Plurality: The Jerusalem Lectures', unpublished ms., Tel-Aviv University.Google Scholar
  22. Langendoen, D. T.: 1978, 'The Logic of Reciprocity', Linguistic Inquiry 9, 177-197.Google Scholar
  23. Lasersohn, P.: 1989, 'On the Readings of Plural Noun Phrases, Linguistic Inquiry 20, 130-134.Google Scholar
  24. Lasersohn, P.: 1995, Plurality, Conjunction and Events, Kluwer, Dordrecht.Google Scholar
  25. Link, G.: 1984, 'Hydras. On the Logic of Relative Constructions with Multiple Heads', in F. Landman and F. Veltman (eds.), Varieties of Formal Semantics, pp. 245-257, Foris, Dordrecht.Google Scholar
  26. Lønning, J. T.: 1991, 'Among Readings. Some Remarks on “Among Collections”', in J. van der Does (ed.), Quantification and Anaphora II. DYANA deliverable 2.2.b, pp. 37-51, Edinburgh.Google Scholar
  27. Partee, B.: 1987, 'Noun Phrase Interpretation and Type Shifting Principles', in J. Groenendijk, D. de Jong, and M. Stokhof (eds.), Studies in Discourse Representation Theories and the Theory of Generalized Quantifiers, pp. 115-143, Foris, Dordrecht.Google Scholar
  28. Partee, B.: 1989, 'Binding Implicit Variables in Quantified Contexts', in CLS25, pp. 342-365. Chicago Linguistic Society, Chicago.Google Scholar
  29. Reinhart, T.: 1997, 'Quantifier Scope: How Labor Is Divided between QR and Choice Functions', Linguistics and Philosophy 20, 335-397.Google Scholar
  30. Roberts, C.: 1987, 'Modal Subordination, Anaphora, and Distributivity', Ph.D. dissertation, University of Massachusetts at Amherst.Google Scholar
  31. Sauerland, U.: 1994, 'Codistributivity and Reciprocals', in Proceedings of the Western States Conference on Linguistics.Google Scholar
  32. Scha, R.: 1981, 'Distributive, Collective and Cumulative Quantification', in J. Groenendijk, M. Stokhof, and T. M. V. Janssen (eds.), Formal Methods in the Study of Language, pp. 483-512, Mathematisch Centrum, Amsterdam.Google Scholar
  33. Schein, B.: 1993, Plurals and Events, MIT Press, Cambridge, Mass.Google Scholar
  34. Schwarzschild, R.: 1996, Pluralities, Kluwer, Dordrecht.Google Scholar
  35. Sternefeld, W.: 1998, 'Reciprocity and Cumulative Predication', Natural Language Semantics 6, 303-337.Google Scholar
  36. Verkuyl, H. and J. van der Does: 1996, 'The Semantics of Plural Noun Phrases', in J. van der Does and J. van Eijck (eds.), Quantifiers: Logic and Language., pp. 337-374, CSLI Publications, Stanford.Google Scholar
  37. Winter, Y.: 1996a, 'A Unified Semantic Treatment of Singular NP Coordination', Linguistics and Philosophy 19, 337-391.Google Scholar
  38. Winter, Y.: 1996b, 'What Does the Strongest Meaning Hypothesis Mean?', in Proceedings of Semantics and Linguistic Theory, CLC Publications, Cornell University, Ithaca.Google Scholar
  39. Winter, Y.: 1997, 'Choice Functions and the Scopal Semantics of Indefinites', Linguistics and Philosophy 20, 399-467.Google Scholar
  40. Winter, Y.: 1998, 'Flexible Boolean Semantics: Coordination Plurality and Scope in Natural Language', Ph.D. dissertation, Utrecht University.Google Scholar
  41. Winter, Y.: 1999, 'Atoms and Sets: A Characterization of Semantic Number', unpublished ms. (available from the author's webpage), Technion-Israel Institute of Technology.Google Scholar

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© Kluwer Academic Publishers 2000

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  • Yoad Winter

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