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10 - Limiting Semantic Types

from Part II - Interfaces

Published online by Cambridge University Press:  02 October 2018

Ángel J. Gallego
Affiliation:
Universitat Autònoma de Barcelona
Roger Martin
Affiliation:
Yokohama National University, Japan
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Summary

Semanticists often say that expressions of a human language are instances of types that exhibit a Fregean hierarchy. More specifically, the expressions of a human language are said to include truth-evaluable sentences of a basic type , entity designators of a basic type , and unsaturated expressions of types characterized by the recursive principle (R). (R) if <α> and <β> are types, so is <α, β>. I offer a sparer proposal according to which human linguistic expressions exhibit no such hierarchy, and almost no semantic typology, because meanings are only minimally relational. I end with a speculation about several respects in which human languages are only a little more interesting than languages of an especially simple kind.
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Publisher: Cambridge University Press
Print publication year: 2018

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References

Baker, M. 1997. “Thematic Roles and Grammatical Categories,” in Haegeman, L. (ed.), Elements of Grammar. Dordrecht: Kluwer, pp. 73137.CrossRefGoogle Scholar
Baker, M. 2003. Lexical Categories: Verbs, Nouns, and Adjectives. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Barwise, J. and Cooper, R. 1981. “Generalized Quantifiers and Natural Language,” Linguistics and Philosophy 4: 159219.CrossRefGoogle Scholar
Boolos, G. 1998. Logic, Logic, and Logic. Cambridge, MA: Harvard University Press.Google Scholar
Borer, H. 2005. Structuring Sense (vols. I and II). Oxford: Oxford University Press.CrossRefGoogle Scholar
Burge, T. 1973. “Reference and Proper Names,” Journal of Philosophy 70: 425439.CrossRefGoogle Scholar
Carstairs-McCarthy, A. 1999. The Origins of Complex Language: An Inquiry into the Evolutionary Beginnings of Sentences, Syllables, and Truth. Oxford: Oxford University Press.CrossRefGoogle Scholar
Chierchia, G. 1984. “Topics in the Syntax and Semantics of Infinitives and Gerunds,” Ph.D. dissertation, University of Massachusetts.Google Scholar
Chomsky, N. 1957. Syntactic Structures. The Hague: Mouton.CrossRefGoogle Scholar
Chomsky, N. 1964. Current Issues in Linguistic Theory. The Hague: Mouton.Google Scholar
Chomsky, N. 1965. Aspects of the Theory of Syntax. Cambridge, MA: MIT Press.Google Scholar
Chomsky, N. 1986. Knowledge of Language. New York: Praeger.Google Scholar
Chomsky, N. 1995. The Minimalist Program. Cambridge, MA: MIT Press.Google Scholar
Chomsky, N. 2000. “Minimalist Inquiries,” in Martin, R., Michaels, D., Uriagereka, J., and Keyser, S. J. (eds.), Step by Step: Essays in Honor of Howard Lasnik. Cambridge, MA: MIT Press, pp. 89155.Google Scholar
Chung, S. and Ladusaw, W. 2003. Restriction and Saturation. Cambridge, MA: MIT Press.CrossRefGoogle Scholar
Church, A. 1941. The Calculi of Lambda Conversion. Princeton, NJ: Princeton University Press.Google Scholar
Davidson, D. 1967. “The Logical Form of Action Sentences,” in Essays on Actions and Events. Oxford: Oxford University Press, pp. 105122.Google Scholar
Frege, G. 1879. Begriffsschrift. Halle: Louis Nebert. English translation in From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931, ed. van Heijenoort, J.. Cambridge, MA: Harvard University Press, 1967.Google Scholar
Frege, G. 1884. Die Grundlagen der Arithmetik. Breslau: Wilhelm Koebner. English translation in The Foundations of Arithmetic, trans. Austin, J. L.. Oxford: Blackwell, 1974.Google Scholar
Frege, G. 1892. “Function and Concept,” in Geach, P. and Black, M. (eds. and trans.), Translations from the Philosophical Writings of Gottlob Frege. Oxford: Blackwell, 1980, pp. 192205.Google Scholar
Heim, I. 1982. The Semantics of Definite and Indefinite Noun Phrases. University of Massachusetts: Ph.D. dissertation; published 1989, New York: Garland.Google Scholar
Heim, I. and Kratzer, A. 1998. Semantics in Generative Grammar. Oxford: Blackwell.Google Scholar
Heinz, J. and Idsardi, William J. 2011. “Sentence and Word Complexity,” Science 333: 295297.CrossRefGoogle ScholarPubMed
Heinz, J. and Idsardi, William J. 2013. “What Complexity Differences Reveal about Domains in Language,” Topics in Cognitive Science 5: 111131.CrossRefGoogle ScholarPubMed
Herburger, E. 2000. What Counts: Focus and Quantification. Cambridge, MA: MIT Press.CrossRefGoogle Scholar
Higginbotham, J. 1985. “On Semantics,” Linguistic Inquiry 16: 547593.Google Scholar
Higginbotham, J. and May, R. 1981. “Questions, Quantifiers, and Crossing,” The Linguistic Review 1: 4780.CrossRefGoogle Scholar
Hornstein, N. 2001. Move! A Minimalist Theory of Construal. Oxford: Wiley-Blackwell.Google Scholar
Hornstein, N. 2009. A Theory of Syntax: Minimal Operations and Universal Grammar. Cambridge: Cambridge University Press.Google Scholar
Horty, J. 2007. Frege on Definitions: A Case Study of Semantic Content. Oxford: Oxford University Press.Google Scholar
Joshi, A., Shanker, K., and Weir, D. 1990. “The Convergence of Mildly Context-Sensitive Grammar Formalisms.” University of Pennsylvania Technical Reports (CIS). Paper 539. http://repository.upenn.edu/cis_reports/539.Google Scholar
Kamp, H. 1981. “A Theory of Truth and Semantic Representation,” repr. in Portner and Partee 2002, pp. 189222.Google Scholar
Katz, J. 1994. “Names Without Bearers,” Philosophical Review 103: 139.CrossRefGoogle Scholar
Kratzer, A. 1996. “Severing the External Argument from its Verb,” in Rooryck, J. and Zaring, L. (eds.), Phrase Structure and the Lexicon. Dordrecht: Kluwer, pp. 109137.CrossRefGoogle Scholar
Larson, R. 1988. “On the Double Object Construction,” Linguistic Inquiry 19: 335391.Google Scholar
Lohndal, T. 2014. Phrase Structure and Argument Structure. Oxford: Oxford University Press.CrossRefGoogle Scholar
Montague, R. 1974. Formal Philosophy. New Haven, CT: Yale University Press.Google Scholar
Partee, B. 2006. “Do We Need Two Basic Types?” in 40–60 Puzzles for Manfred Krifka. www.zas.gwz-berlin.de/40-60-puzzles-for-krifka.Google Scholar
Pietroski, P. 2005. Events and Semantic Architecture. Oxford: Oxford University Press.Google Scholar
Pietroski, P. 2014. “Lexicalizing and Combining,” in de Almeida, R. and Manouilidou, C. (eds.), Verb Concepts: Cognitive Science Perspectives on Verb Representation and Processing. New York: Springer, pp. 4366.Google Scholar
Pietroski, P. 2018. Conjoining Meanings: Semantics Without Truth Values. Oxford: Oxford University Press.CrossRefGoogle Scholar
Pietroski, P. Forthcoming. “Semantic Typology and Composition,” to appear in Rabern, B. and Ball, D. (eds.), The Science of Meaning. Oxford: Oxford University Press.Google Scholar
Portner, P. and Partee, B. (eds.) 2002. Formal Semantics: The Essential Readings. Oxford: Blackwell.CrossRefGoogle Scholar
Quine, W. 1963. “On What There Is,” in From a Logical Point of View. New York: Harper and Row, pp. 119.Google Scholar
Schein, B. 1993. Events and Plurals. Cambridge, MA: MIT Press.Google Scholar
Schein, B. 2002. “Events and the Semantic Content of Thematic Relations,” in Preyer, G. and Peters, G. (eds.), Logical Form and Language. Oxford: Oxford University Press, pp. 91117.Google Scholar
Schein, B. 2017. Conjunction Reduction Redux. Cambridge, MA: MIT Press.CrossRefGoogle Scholar
Tarski, A. 1944. “The Semantic Conception of Truth,” Philosophy and Phenomenological Research 4: 341375.CrossRefGoogle Scholar
Uriagereka, J. and Pietroski, P. 2001. “Dimensions of Natural Language,” University of Maryland Working Papers in Linguistics, vol. 10. Repr. 2002, in Uriagereka, J., Derivations. London: Routledge, pp. 266287.Google Scholar
Williams, A. 2007. “Patients in Igbo and Mandarin,” in Dölling, J. and Heye-Zybatow, T. (eds.), Event Structures in Linguistic Form and Interpretation. Berlin: Mouton de Gruyter, pp. 330.Google Scholar
Williams, A. 2015. Arguments in Syntax and Semantics. Cambridge: Cambridge University Press.CrossRefGoogle Scholar

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