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A semantic constraint on binary determiners

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Abstract

A type \({\langle{1^2, 1}\rangle}\) quantifier F is symmetric iff F(X, X)(Y) = F(Y, Y)(X). It is shown that quantifiers denoted by irreducible binary determiners in natural languages are both conservative and symmetric and not only conservative.

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References

  • Beghelli, F. (1992). Comparative quantifiers. In P. Dekker & M. Stokhof (Eds.), Proceedings of the VIII Amsterdam colloquium.

  • Beghelli F. (1994) Structured quantifiers. In: Kanazawa M., Piñon C. (eds) Dynamics, polarity, and quantification. CSLI Publications, Stanford, pp 119–145

    Google Scholar 

  • Keenan E.L. (1987) Multiply-headed NPs. Linguistic Inquiry 18: 481–491

    Google Scholar 

  • Keenan E.L. (1993) Natural language, sortal reducibility and generalised quantifiers. Journal of Symbolic Logic 58(1): 314–325

    Article  Google Scholar 

  • Keenan E.L. (2002) Some properties of natural language quantifiers: Generalized quantifier theory. Linguistics and Philosophy 25(5–6): 627–654

    Article  Google Scholar 

  • Keenan E.L., Faltz L.M. (1985) Boolean semantics for natural language. D. Reidel Publishing Company, Dordrecht

    Google Scholar 

  • Keenan E.L., Moss L. (1985) Generalized quantifiers and the expressive power of natural. In: Benthem J., ter Meulen A. (eds) Generalized quantifiers. Foris, Dordrecht, pp 73–124

    Google Scholar 

  • Keenan E.L., Stavi J. (1986) A semantic characterisation of natural language determiners. Linguistics and Philosophy 9: 253–326

    Article  Google Scholar 

  • Keenan E.L., Westerståhl D. (1997) Generalized quantifiers in linguistics and logic. In: Benthem J., ter Meulen A. (eds) Handbook of Logic and Language. Elsevier, Amsterdam, pp 837–893

    Chapter  Google Scholar 

  • Peters S., Westerståhl D. (2006) Quantifiers in language and logic. Clarendon Press, Oxford

    Google Scholar 

  • Zuber R. (1998) On the semantics of exclusion and inclusion phrases. In: Lawson A. (eds) SALT8. Cornell University Press, New York, pp 267–283

    Google Scholar 

  • Zuber R. (2004a) A class of non-conservative determiners in Polish. Linguisticae Investigationes XXVII(1: 147–165

    Article  Google Scholar 

  • Zuber, R. (2004b). Some remarks on syncategorematicity. In L. Hunyadi, et al. (Eds.), The eighth symposium on logic and language: Preliminary papers, Debrecen 2004, pp. 165–174.

  • Zuber R. (2005) More algebras for determiners. In: Blache P., Stabler E. (eds) Logical aspects of computational linguistics 5, LNAI, (Vol. 3492). Springer-Verlag, Berlin, pp 363–378

    Google Scholar 

  • Zuber R. (2007) Symmetric and contrapositional quantifiers. Journal of Logic, Language and Information 16(1): 1–13

    Article  Google Scholar 

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Zuber, R. A semantic constraint on binary determiners. Linguist and Philos 32, 95–114 (2009). https://doi.org/10.1007/s10988-009-9053-6

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  • DOI: https://doi.org/10.1007/s10988-009-9053-6

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