Abstract
A constraint on functions from sets and relations to sets is studied. This constraint is a generalisation of the constraint of conservativity known from the study of generalised quantifiers in natural languages. It is suggested that this generalised constraint constitutes a semantic universal.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Keenan, E.L.: Natural Language, Sortal Reducibility and Generalised Quantifiers. Journal of Symbolic Logic 58(1), 314–325 (1993)
Keenan, E.L.: On the denotations of anaphors. Research on Language and Computation 5(1), 5–17 (2007)
Keenan, E.L., Faltz, L.M.: Boolean Semantics for Natural Language. D. Reidel Publishing Company, Dordrecht (1985)
Keenan, E.L., Moss, L.: Generalized quantifiers and the expressive power of natural language. In: van Benthem, J., ter Meulen, A. (eds.) Generalized Quantifiers, Foris, Dordrecht, pp. 73–124 (1985)
Keenan, E.L., Westerståhl, D.: Generalized Quantifiers in Linguistics and Logic. In: van Benthem, J., ter Meulen, A. (eds.) Handbook of logic and language, pp. 837–893. Elsevier, Amsterdam (1997)
Peters, S., Westerståhl, D.: Quantifiers in Language and Logic. Clarendon Press, Oxford (2006)
Kuroda, S.-Y.: Head Internal Relative Clauses, Quantifier Float, the Definiteness Effect and the Mathematics of Determiners. San Diego Linguistics Papers 3, 126–183 (2008)
Westerståhl, D.: Iterated Quantifiers. In: Kanazawa, M., Pinon, C. (eds.) Dynamics, Polarity and Quantification, CSLI, Stanford University, pp. 173–209 (1994)
Zuber, R.: A class of non-conservative determiners in Polish. Linguisticae Investigationes XXVII(1), 147–165 (2004)
Zuber, R.: More Algebras for Determiners. In: Blache, P., Stabler, E.P., Busquets, J.V., Moot, R. (eds.) LACL 2005. LNCS (LNAI), vol. 3492, pp. 363–378. Springer, Heidelberg (2005)
Zuber, R.: Semantics of Slavic anaphoric possessive determiners. In: Proceedings of SALT, vol. 19 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zuber, R. (2010). Generalising Conservativity. In: Dawar, A., de Queiroz, R. (eds) Logic, Language, Information and Computation. WoLLIC 2010. Lecture Notes in Computer Science(), vol 6188. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13824-9_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-13824-9_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13823-2
Online ISBN: 978-3-642-13824-9
eBook Packages: Computer ScienceComputer Science (R0)