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Some Properties of Natural Language Quantifiers: Generalized Quantifier Theory

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REFERENCES

  • Altham, J. E, J. and N. Tennant: 1975, 'Sortal Quantification', in E. K. Keenan (ed.), Formal Semantics of Natural Language, pp. 46–58, Cambridge University Press.

  • Bach, E., E. Jelinek, A. Kratzer, and B. Partee: 1995, Quantification in Natural Languages, Kluwer, Dordrecht.

    Google Scholar 

  • Barwise, J. and R. Cooper: 1981, 'Generalized Quantifiers and Natural Language', Linguistics and Philosophy 4, 159–219.

    Google Scholar 

  • Beghelli, F.: 1992, 'Comparative Quantifiers', in P. Dekker and M. Stokhof (eds.), in Proceedings of the Eighth Amsterdam Colloquium, ILLC, University of Amsterdam.

  • Beghelli, F.: 1994, 'Structured Quantifiers', in M. Kanazawa and C. Piñon (eds.), pp. 119–145.

  • Ben-Shalom, D.: 2001, 'One Connection Between Standard Invariance Conditions on Modal Formulas and Generalized Quantifiers', Journal of Logic, Language and Information 10, 1–6.

    Google Scholar 

  • van Benthem, J.: 1983, 'Questions About Quantifiers', Journal of Symbolic Logic 49, 443–466.

    Google Scholar 

  • van Benthem, J.: 1986, Essays in Logical Semantics, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • van Benthem, J. and A. ter Meulen: 1985, Generalized Quantifiers in Natural Language, Foris, Dordrecht.

    Google Scholar 

  • Boolos, G.: 1984, 'Non-First Orderizability Again', Linguistic Inquiry 12, 465–467.

    Google Scholar 

  • van der Does, J. and J. van Eijck (1996) Quantifiers, Logic, and Language, CSLI Publications.

  • Doetjes, J. and M. Honcoop: 1997, 'The Semantics of Event-Related Readings: A Case for Pair Quantification', in Szabolcsi 1997, pp. 263–297.

  • Etchemendy, J.: 1990, The Concept of Logical Consequence, Harvard University Press.

  • Fauconnier, G.: 1975, 'Polarity and the Scale Principle', Papers from the Eleventh Regional Meetings of the Chicago Linguistic Society, University of Chicago.

  • Frege, G. 1892, 'On Concept and Object', in P. Geach and M. Black, Translations from the Writings of Gottlob Frege, 1952. Blackwell.

  • Gabbay, D. and J. Moravcsik: 1974, 'Branching Quantifiers and Montague Grammar', Theoretical Linguistics 1, 139–157.

    Google Scholar 

  • Gärdenfors, P.: 1987, Generalized Quantifiers: Linguistic and Logical Approaches, Reidel, Dordrecht.

    Google Scholar 

  • Gil, D.: 1995, Universal Quantifiers and Distributivity, in E. Bach et al. (eds). pp. 321–363.

  • Groenendijk, J. and M. Stokhof: 1997, 'Questions', in J. van Benthem and A. ter Meulen (eds.), The Handbook of Logic and Linguistics, North Holland, pp. 1055–1125.

  • Gutierrez-Rexach, J.: 1997, 'Questions and Generalized Quantifiers', in Szabolcsi 1997, pp. 409–453.

  • Heim, I. and A. Kratzer: 1998, Semantics in Generative Grammar, Blackwell.

  • Higginbotham, J. and R. May: 1981,'Questions, Quantifiers and Crossing', Linguistic Review 1, 41–79.

    Google Scholar 

  • Hintikka, J.: 1973, 'Quantifiers vs. Quantification Theory', Dialectica 27, 329–358 reprinted in Linguistic Inquiry 5, 153–177.

    Google Scholar 

  • Jelinek, L.: 1995, 'Quantification in Straits Salish', in E. Bach (ed.). pp. 487–540.

  • Kanazawa J. and C. Piñon: 1994, Dynamics, Polarity and Quantification, CSLI Lecture Notes, Stanford.

  • Kaplan, D.: 1966, 'Rescher's Plurality-Quantification and Generalized Plurality Quantification' (abstract), J. Symbolic Logic 31, 153–154.

    Google Scholar 

  • Keenan, E. L.: 1981, 'A Boolean Approach to Semantics', in J. Groenendijk, T. Janssen, and M. Stokhof (eds.), Formal Methods in the Study of Language, pp. 343–379. Mathematisch Centrum, Amsterdam.

    Google Scholar 

  • Keenan, E. L.: 1987, 'A Semantic Definition of “Indefinite NP” ', in E. Reuland and A. ter Meulen (eds.), The Representation of (In)Definiteness, MIT Press.

  • Keenan, E. L.: 1989, 'Semantic Case Theory', in R. Bartsch, J. van Benthem, and P. van Emde Boas (eds.), Semantics and Contextual, Foris.

  • Keenan, E. L.: 1992, 'Beyond the Frege Boundary', Linguistics and Philosophy 15, 199–221.

    Google Scholar 

  • Keenan, E. L: 1993, 'Natural Language, Sortal Reducibility and Generalized Quantifiers', The Journal Symbolic Logi 58, 314–325.

    Google Scholar 

  • Keenan, E. L.: 1996, 'The Semantics of Determiners', in S. Lappin (ed.), The Handbook of Contemporary Semantic, Blackwell, pp. 41–63.

  • Keenan, E. L.: 2001, 'A Semantic Characterization of the Definiteness Effect', MS, UCLA.

  • Keenan, E. L. and L. Faltz: 1985, Boolean Semantics for Natural Language, D. Reidel, Dordrecht.

    Google Scholar 

  • Keenan, E L. and L. Moss: 1985, 'Generalized Quantifiers and the Expressive power of Natural Language', in J. van Bethem and A. ter Meulen (eds.).

  • Keenan, E. L. and J. Stavi: 1986, 'A Semantic Characterization of Natural Language Determiners', Linguistics and Philosophy 9, 253–326.

    Google Scholar 

  • Keenan, E. L. and D. Westerståhl: 1997, 'Generalized Quantifiers in Linguistics and Logic', in J. van Benthem and A. ter Meulen (eds.), The Handbook of Language and Logic, pp. 837–893, Elsevier.

  • Kolaitis, Ph. and J. Väänänen: 1995, 'Generalized Quantifiers and Pebble Games on Finite Structures', Annals of Pure and Applied Logic 74, 23–75.

    Google Scholar 

  • Krifka, M.: 1989, 'Nominal Reference, Temporal Constitution and Quantification in Event Semantic', in R. Bartsch and J. van Benthem and P. van Emde Boas (eds.), Semantics and Contextual Expression pp. 75–117, Foris, Dordrecht.

    Google Scholar 

  • Krifka, M.: 1990, 'Four Thousand Ships Passed through the Lock', in Linguistics and Philosophy 13, 487–520.

    Google Scholar 

  • Krynicki, M., M. Mostowski, and L. Szczerba: 1995, Quantifiers: Logics, Models and Computation, Kluwer, Dordrecht.

    Google Scholar 

  • Ladusaw, W.: 1983, 'Logical Form and Conditions on Grammaticality', Linguistics and Philosophy 6: 389–422.

    Google Scholar 

  • Lindström, P.: 1966, 'First Order Predicate Logic with Generalized Quantifiers', Theoria 35, 186–195.

    Google Scholar 

  • Lønning, J. T.: 1997, 'Plurals and Collectivity', in J. van Benthem and A. ter Meulen (eds.), The Handbook of Language and Logic, pp. 1011–1059. Elsevier, Amsterdam.

    Google Scholar 

  • Matthewson, L.: 2001, 'Quantification and the Nature of Crosslinguistic Variation', Natural Language Semantics 9, 145–189.

    Google Scholar 

  • ter Meulen, A.: 1990, 'English Aspectual Verbs as Generalized Quantifiers', in M. Stokhof and L. Torenvliet (eds.), Proceedings of the Seventh Amsterdam Colloquium Part 1, ITLI, Amsterdam. pp. 303–317.

    Google Scholar 

  • Milsark, G.: 1977, 'Towards an Explanation of Certain Peculiarities in the Existential Construction in English', Linguistic Analysis 3, 1–30.

    Google Scholar 

  • Montague, R.: 1969, 'English as a Formal Language'. Reprinted in R. Thomason, 1974, 188–222. In Formal Philosophy, Yale University Press.

  • Montague, R.: 1973, 'The Proper Treatment of Quantification in Ordinary English'. Reprinted in R. Thomason (ed.), Formal Philosophy 247–270. Yale University Press, New Haven.

    Google Scholar 

  • Mostowski, A.: 1957, 'On a Generalization of Quantifiers', Fundamenta Mathematicae 44, 12–36.

    Google Scholar 

  • Nam S.: 1994, 'Another Type of Negative Polarity Item', in M. Kanazawa and C. Piñon (eds.), pp. 3–17, CSLI

  • Partee, B.: 1984, 'Nominal and Temporal Anaphora', Linguistics and Philosophy 7, 243–286.

    Google Scholar 

  • Partee, B.: 1987, 'Noun Phrase Interpretation and Type-Shifting Principles', in J. Groenendijk et al. (eds.), Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers, GRASS 8, Foris, pp.115–143.

  • Smessaert, H.: 1996, 'Monotonicity Properties of Comparative Determiners', Linguistics and Philosophy 19, 295–336.

    Google Scholar 

  • Stabler, E.: 1997, 'Computing Quantifier Scope', in Szabolcsi 1997, pp. 155–179.

  • de Swart, H.: 1996, 'Quantification Over Time', in van der Does and van Eijck, pp. 311–337.

  • Szabolcsi, A.: 1997a, Ways of Scope Taking, Kluwer, Dordrecht.

    Google Scholar 

  • Szabolcsi, A.: 1997b, 'Strategies for Scope Taking', in A. Szabolcsi (ed.), pp. 109–155.

  • Verkuyl, H. and J. van der Does: 1996, 'The Semantics of Plural Noun Phrases', in van der Does and van Eijck, pp. 337–375.

  • Vieira, M. D.: 1995, 'The Expression of Quantificational Notions in Asurini do Trocara', in Bach et al., pp. 701–720.

  • Westerståhl, D: 1985, 'Logical Constants in Quantifier Languages', Linguistics & Philosophy 8, 387–413.

    Google Scholar 

  • Westerståhl, D.: 1989, 'Quantifiers in Formal Natural Languages', in D. Gabbay and F. Guenthner (eds.), The Handbook of Philosophical Logic, vol. IV, Reidel, Dordrecht, pp. 1–131.

    Google Scholar 

  • Westerståhl, D.: 1991, 'Relativization of Quantifiers in Finite Models', in J. van der Does and J. van Eijck (eds.), Generalized Quantifier Theory and Applications, Institute of Logic, Language and Information, Amsterdam, pp. 187–205.

    Google Scholar 

  • Winter, Y.: 1998, Flexible Boolean Semantics: Coordination, Plurality and Scope in Natural Language, Ph.D. diss. Utrecht University. To appear (revised) with MIT Press.

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  1. Department of Linguistics, UCLA, 3125 Campbell Hall, Box 951543, Los Angeles, CA, 90095-1543

    Edward Keenan

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Keenan, E. Some Properties of Natural Language Quantifiers: Generalized Quantifier Theory. Linguistics and Philosophy 25, 627–654 (2002). https://doi.org/10.1023/A:1020803514176

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