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A new kind of degree

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Abstract

This paper presents a case study of the English noun amount, a word that ostensibly relies on measurement in its semantics, yet stands apart from other quantizing nouns on the basis of its existential interpretation. John ate the amount of apples that Bill ate does not mean John and Bill ate the same apples, but rather that they each ate apples in the same quantity. Amount makes reference to abstract representations of measurement, that is, to degrees. Its existential interpretation evidences the fact that degrees contain information about the objects that instantiate them. Outside the domain of nominal measurement, the noun kind exhibits behavior strikingly similar to that of amount; both yield an existential interpretation. This observation motivates re-conceiving of degrees as nominalized quantity-uniform properties—the same sort of entity as kinds. Thus, the semantic machinery handling kinds also handles degrees: as nominalized properties, degrees are instantiated by objects that hold the corresponding property; when instantiated by real-world objects, degrees (and kinds) deliver the existential interpretation.

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References

  • Åfarli T. (1994) A promotion analysis of restrictive relative clauses. Linguistic Review 11(1): 81–100

    Google Scholar 

  • Anderson C., Morzycki M. (2015) Degrees as kinds. Natural Language & Linguistic Theory 33(3): 791–828

    Article  Google Scholar 

  • Brasoveanu, A. (2009). Measure noun polysemy and monotonicity: Evidence from Romanian pseudopartitives. In A. Schardl, M. Walkow, & M. Abdurranhman (Eds.), Proceedings of NELS 38 (pp. 139–150).

  • Carlson G. (1977a) Amount relatives. Language 53(3): 520–542

    Article  Google Scholar 

  • Carlson, G. (1977b). Reference to kinds in English. PhD thesis, University of Massachusetts at Amherst.

  • Cartwright H. M. (1970) Quantities. The Philosophical Review 79(1): 25–42

    Article  Google Scholar 

  • Chierchia G. (1998) Reference to kinds across languages. Natural Language Semantics 6: 339–405

    Article  Google Scholar 

  • Chomsky, N. (1977). On Wh-movement. In P. W. Culicover, T. Wasow, & A. Akmajian (Eds.), Formal syntax (pp. 71–132). New York: Academic Press.

  • Citko B. (2011a) Small clauses. Language and Linguistics Compass 5(10): 748–763

    Article  Google Scholar 

  • Citko B. (2011b) Symmetry in syntax: Merge, move and labels. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Cresswell, M. J. (1976). The semantics of degree. In B. H. Partee (Ed.), Montague grammar (pp. 261–292). New York: Academic Press.

  • Davies, M. (2010–). The corpus of historical American English: 400 million words, 1810-2009. Retrieved from http://corpus.byu.edu/coha/.

  • Dayal, V. (1992). The singular-plural distinction in Hindi generics. In C. Barker & D. Dowty (Eds.), Semantics and linguistic theory (SALT) 2. OSU Working Papers in Linguistics (Vol. 40, pp. 39–58).

  • Dayal V. (2004) Number marking and (in)definiteness in kind terms. Linguistics and Philosophy 27: 393–450

    Article  Google Scholar 

  • Donati C., Cecchetto C. (2011) Relabeling heads: A unified account for relativization structures. Linguistic Inquiry 42(4): 519–560

    Article  Google Scholar 

  • Grimm, S. (2012). Number and individuation. PhD thesis, Stanford University.

  • Grosu A., Landman F. (1998) Strange relatives of the third kind. Natural Language Semantics 6: 125–170

    Article  Google Scholar 

  • Heim, I. (1985). Notes on comparatives and related matters. Unpublished MS, University of Texas, Austin.

  • Heim, I. (1987). Where does the definiteness restriction apply? Evidence from the definiteness of variables. In E. J. Reuland & A. G. B. ter Meulen (Eds.), The representation of (in)definiteness (pp. 21–42). Cambridge, MA: MIT Press.

  • Kayne R. (1994) The antisymmetry of syntax. MA: MIT Press, Cambridge

    Google Scholar 

  • Kennedy C. (1999) Projecting the adjective: The syntax and semantics of gradability and comparison. Garland, New York

    Google Scholar 

  • Kennedy C. (2007) Vagueness and grammar: The semantics of relative and absolute gradable adjectives. Linguistics and Philosophy 30: 1–45

    Article  Google Scholar 

  • Kennedy C., McNally L. (2005) Scale structure, degree modification and the semantics of gradable predicates. Language 81: 345–381

    Article  Google Scholar 

  • Lima, S. (2014). The grammar of individuation and counting. PhD thesis, University of Massachusetts Amherst.

  • Link, G. (1983). The logical analysis of plurals and mass terms. In R. Bäuerle, C. Schwarze, & A. von Stechow (Eds.), Meaning, use, and interpretation of language (pp. 302–323). Berlin: de Gruyter.

  • McNally, L. (2016). Modification. In M. Aloni & P. Dekker (Eds.), Cambridge handbook of formal semantics (pp. 442–466). Cambridge: Cambridge University Press.

  • Milsark, G. (1974). Existential sentences in English. PhD thesis, Massachusetts Institute of Technology.

  • Montague, R. (1974). English as a formal language. In R. H. Thomason (Ed.), Formal philosophy: Selected papers of Richard Montague (pp. 188–226). New Haven: Yale University Press.

  • Moro A. (2000) Dynamic antisymmetry. MA: MIT Press, Cambridge

    Google Scholar 

  • Partee B. (1975) Montague grammar and transformational grammar. Linguistic Inquiry 6: 203–300

    Google Scholar 

  • Partee, B. H. (1987). Noun phrase interpretation and type-shifting principles. In J. Groenendijk, D. de Jongh, & M. Stokhof (Eds.), Studies in discourse representation theory and the theory of generalized quantifiers (pp. 115–143). Dordrecht: Foris.

  • Rothstein, S. (2013). A Fregean semantics for number words. In M. Aloni, M. Franke, & F. Roelofsen (Eds.), Proceedings of the 19th Amsterdam Colloquium (pp. 179–186).

  • Russell, B. (1938). The principles of mathematics (2nd ed.). New York: W.W. Norton.

  • Safir, K. (1982). Syntactic chains and the definiteness effect. PhD thesis, Massachusetts Institute of Technology.

  • Sauerland, U. (1998). The meaning of chains. PhD thesis, Massachusetts Institute of Technology.

  • Schwarzschild R. (2006) The role of dimensions in the syntax of noun phrases. Syntax 8(1): 67–110

    Article  Google Scholar 

  • Schwarzschild R. (2008) The semantics of comparatives and other degree constructions. Language and Linguistics Compass 2(2): 308–331

    Article  Google Scholar 

  • Scontras, G. (2014). The semantics of measurement. PhD thesis, Harvard University.

  • Seuren, P. A. M. (1973). The comparative. In F. Kiefer & N. Ruwet (Eds.), Generative grammar in Europe (pp. 528–564). Dordrecht: Reidel.

  • Sharvy R. (1980) A more general theory of definite descriptions. The Philosophical Review 89(4): 607–624

    Article  Google Scholar 

  • Solt S. (2015) Measurement scales in natural language. Language and Linguistics Compass 9: 14–32

    Article  Google Scholar 

  • Stowell, T. (1981). Origins of phrase structure. PhD thesis, Massachusetts Institute of Technology.

  • von Stechow A. (1984) Comparing semantic theories of comparison. Journal of Semantics 3: 1–77

    Article  Google Scholar 

  • Wilkinson, K. (1995). The semantics of the common noun kind. In G. N. Carlson & F. J. Pelletier (Eds.), The generic book (pp. 383–397). Chicago: The University of Chicago Press.

  • Zamparelli, R. (1998). A theory of kinds, partitives and of/z possessives. In A. Alexiadou & C. Wilder (Eds.), Possessors, predicates and movement in the determiner phrase (pp. 259–301). Amsterdam: John Benjamins.

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Scontras, G. A new kind of degree. Linguist and Philos 40, 165–205 (2017). https://doi.org/10.1007/s10988-016-9200-9

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