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Polar Opposition and the Ontology of ‘Degrees’

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Abstract

This paper uses the distribution and interpretation of antonymous adjectives in comparative constructions as an empirical basis to argue that abstract representations of measurement, or ‘degrees’, must be modeled as intervals on a scale, rather than as points, as commonly assumed. I begin by demonstrating that the facts in this domain must be accounted for in terms of the interaction of the semantics of adjectival polarity and the semantics of the comparative, rather than principles governing the (overt) expression of particular types of adjectives in comparatives. I then show that a principled account of the full range of data under consideration can be constructed within a model in which degrees are formalized as intervals on a scale and adjectival polarity is characterized in terms of two structurally distinct and complementary sorts of `positive' and `negative' degrees.

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REFERENCES

  • Abney, S.: 1987, The English Noun Phrase in its Sentential Aspect, Doctoral dissertation, MIT, Cambridge, MA.

    Google Scholar 

  • Atlas, J.: 1984, ‘Comparative Adjectives and Adverbials of Degree: An Introduction to Radically Radical Pragmatics’, Linguistics and Philosophy 7, 347–377.

    Google Scholar 

  • Bartsch, R. and T. Vennemann: 1973, Semantic Structures: A Study in the Relation between Syntax and Semantics, Atheänum Verlag, Frankfurt.

    Google Scholar 

  • van Benthem, J.: 1983, The Logic of Time, Reidel, Dordrecht.

    Google Scholar 

  • Bierwisch, M.: 1998, ‘Adjectives that Cannot Surface in Comparative Constructions’, Paper presented at the Workshop on the Syntax and Semantics of Comparatives, Zentrum für Allgemeine Sprachwissenschaft, Berlin, November 27-28, 1998.

  • Bierwisch, M.: 1989, ‘The Semantics of Gradation’, in M. Bierwisch and E. Lang (eds.), Dimensional Adjectives, Springer-Verlag, Berlin.

    Google Scholar 

  • Bresnan, J.: 1975, ‘Comparative Deletion and Constraints on Transformations’, Linguistic Analysis 1, 25–74.

    Google Scholar 

  • Clark, H.: 1970, ‘Comprehending Comparatives’, in Flores d'Arcais, G. and W. Levelt (eds.), Advances in Psycholinguistics, New York: Elseiver.

    Google Scholar 

  • Corver, N.: 1990, The Syntax of Left Branch Constructions, Ph.D dissertation, Tilburg University.

  • Corver, N.: 1997, ‘Much-support as a Last Resort’, Linguistic Inquiry 28(1), 19–164.

    Google Scholar 

  • Cresswell, M. J. 1976, ‘The Semantics of Degree’, in B. Partee (ed.), Montague Grammar, Academic Press, New York.

    Google Scholar 

  • Faller, M.: 1998, ‘A Vector Space Semantics for Comparatives’, Unpublished ms., Stanford University.

  • Faller, M.: to appear, ‘Dimensional Adjectives and Measure Phrases in Vector Space Semantics’, in Faller, M., S. Kaufmann, and M. Pauly (eds.), Proceedings of the Seventh CSLI Workshop on Logic, Language, and Computation, CSLI Publications, Stanford.

  • Gawron, J.-M. 1995, ‘Comparatives, Superlatives, and Resolution’, Linguistics and Philosophy 18, 333–380.

    Google Scholar 

  • Grimshaw, J.: 1991, ‘Extended Projection’, Unpublished ms., Brandeis University.

  • Hale, A.: 1970, ‘Conditions on English Comparative Clause Pairings’, in R. Jacobs and P. Rosenbaum (eds.), Readings in English Transformational Grammar, Georgetown University Press, Washington.

    Google Scholar 

  • Hay, J., C. Kennedy, and B. Levin: 1999, ‘Scalar Structure Underlies Telicity in Degree Achievements’, Proceedings of SALT 9, Cornell Linguistics Club Publications, Ithaca.

    Google Scholar 

  • Heim, I.: 1985, ‘Notes on Comparatives and Related Matters’, Unpublished ms., University of Texas, Austin.

  • Hellan, L.: 1981, Towards an Integrated Analysis of Comparatives, Narr, Tübingen.

    Google Scholar 

  • Hendriks, P.: 1995, Comparatives and Categorial Grammar, Ph.D. dissertation, University of Groningen.

  • Hoeksema, J.: 1983, ‘Negative Polarity and the Comparative’, Natural Language and Linguistic Theory 1, 403–434.

    Google Scholar 

  • Izvorski, R.: 1995, ‘A Solution to the Subcomparative Paradox’, in Camacho, J., L. Chouieri and M. Watanabe (eds.), The Proceedings of WCCFL XIV, Stanford, CSLI Publications.

    Google Scholar 

  • Kamp, H.: 1975, ‘Two Theories of Adjectives’, in Keenan, E. (ed.), Formal Semantics of Natural Language, Cambridge University Press, Cambridge, pp. 123–155.

    Google Scholar 

  • Kennedy, C.: 1999a, Projecting the Adjective: The Syntax and Semantics of Gradability and Comparison, New York, Garland. (1997, Ph.d. thesis, University of California, Santa Cruz.)

    Google Scholar 

  • Kennedy, C.: 1999b, ‘Gradable Adjectives Denote Measure Functions, not Partial Functions’, Studies in the Linguistic Sciences 29(1), 65–80.

    Google Scholar 

  • Kennedy, C.: 1997a, ‘Comparison and Polar Opposition’, in Lawson, A. (ed.), Semantics and Linguistic Theory 7, Ithaca, Cornell Linguistics Club Publications.

    Google Scholar 

  • Kennedy, C.: 1997b, ‘On the Quantificational Force of the Comparative Clause’, in Austin, J. and A. Lawson (eds.), Proceedings of the 1997, Eastern States Conference on Linguistics, Ithaca, Cornell Linguistics Club Publications.

    Google Scholar 

  • Kennedy, C.: to appear a, ‘On the Monotonicity of Polar Adjectives’, in J. Hoeksema, H.: Rullmann, V.: Sánchez-Valencia and T. van der Wouden (eds.), Perspectives on Negation and Polarity, Amsterdam, Benjamins.

  • Kennedy, C.: to appear b, ‘Comparative (Sub)deletion: Evidence for Ranked, Violable Constraints in Syntax’, Proceedings of NELS 30, Amherst, GSLA Publications.

  • Kennedy, C. and L. McNally: 1999, ‘From Event Scales to Adjectival Scales: Degree Modification in Deverbal Adjectives’, in Proceedings of SALT 9, Ithaca, Cornell Linguistics Club Publications.

    Google Scholar 

  • Kennedy, C. and L. McNally: in preparation, ‘Scale Structure and the Semantics of Degree Modification’, ms., Northwestern University and Universitat Pompeu Fabra.

  • Klein, E.: 1991, ‘Comparatives’, in von Stechow, A. and D. Wunderlich (eds.), Semantik: Ein Internationales Handbuch der Zeitgenössischen Forschung, Walter de Gruyter, Berlin.

    Google Scholar 

  • Klein, E.: 1982, ‘The Interpretation of Adjectival Comparatives’, Journal of Linguistics 18, 113–136.

    Google Scholar 

  • Klein, E.: 1980, ‘A Semantics for Positive and Comparative Adjectives’, Linguistics and Philosophy 4(1), 1–45.

    Google Scholar 

  • Krantz, D.: R. D. Luce, P. Suppes, and A. Tversky: 1971, Foundations of Measurement, Volume 1, Academic Press, New York.

    Google Scholar 

  • Ladusaw, W.: 1979, Polarity as Inherent Scope Relations, Ph.D. dissertation, University of Texas, Austin.

    Google Scholar 

  • Ladusaw, W.: 1986, ‘Principles of Semantic Filtering’, in M. Dalrymple et al. (eds.), Papers from the 5th Western Conference on Formal Linguistics, Stanford Linguistics Association, Stanford, Ca.

    Google Scholar 

  • Landman, F.: 1991, Structures for Semantics, Kluwer, Dordrecht.

    Google Scholar 

  • Larson, R.: 1988, ‘Scope and Comparatives’, Linguistics and Philosophy 11, 1–26.

    Google Scholar 

  • Lechner, W.: 1999, Comparatives and DP-Structure, Ph.D. dissertation, University of Massachusetts, Amherst.

    Google Scholar 

  • Lehrer, A.: 1985, ‘Markedness and Antonymy’, Journal of Linguistics 21, 397–429.

    Google Scholar 

  • Lerner, J-Y. and M. Pinkal: 1995, ‘Comparative Ellipsis and Variable Binding’, Computerlinguistik an der Universität des Saarlandes Report No. 64. (Also in Semantics and Linguistic Theory 5).

  • Lerner, J-Y. and M. Pinkal: 1992, ‘Comparatives and Nested Quantification’, Computerlinguistik an der Universität des Saarlandes Report No. 21.

  • Linebarger, M.: 1980, The Grammar of Negative Polarity, Ph.D. dissertation, Massachusetts Institute of Technology.

  • Löbner, S.: 1990, Wahr neben Falsch: Duale Operatoren als die Quantoren natürlicher Sprache, Niemeyer, Tübingen.

    Google Scholar 

  • Ludlow, P.: 1989, ‘Implicit Comparison Classes’, Linguistics and Philosophy 12, 519–533.

    Google Scholar 

  • McConnell-Ginet, S.: 1973, Comparative Constructions in English: A Syntactic and Semantic Analysis, Ph.D. dissertation, University of Rochester.

  • Moltmann, F.: 1992, Coordination and Comparatives, Ph.D. dissertation, Massachusetts Institute of Technology.

  • Pinkal, Manfred: 1989, ‘On the Logical Structure of Comparatives’, in Studer, Rudi (ed.), Lecture Notes in Artificial Intelligence, Springer-Verlag, Berlin, pp. 146–167.

    Google Scholar 

  • Postal, P.: 1974, ‘On Certain Ambiguities’, Linguistic Inquiry 5(3), 367–425.

    Google Scholar 

  • Rullmann, H.: 1995, Maximality in the Semantics ofWH-Constructions, Ph.D. dissertation, UMass., Amherst.

    Google Scholar 

  • Russell, B.: 1905, ‘On Denoting’, Mind 14, 479–493.

    Google Scholar 

  • Sánchez-Valencia, V.: 1994, ‘Polarity, Predicates, and Monotonicity’, Unpublished ms., University of Groningen.

  • Sapir, E.: 1944, ‘Grading: A Study in Semantics’, Philosophy of Science 11, 93–116.

    Google Scholar 

  • Schwarzschild, R. and K. Wilkinson: 1999, ‘Interval Semantics for Scalar Predication’, Unpublished ms. Rutgers University.

  • Seuren, P. A. M.: 1984, ‘The Comparative Revisited’, Journal of Semantics 3, 109–141.

    Google Scholar 

  • Seuren, P.A.M.: 1978, ‘The Structure and Selection of Positive and Negative Gradable Adjectives’, in Farkas, D., W. Jacobson and K. Todrys (eds.), Papers from the Parasession on the Lexicon, CLS 14, University of Chicago, Chicago, Il.

    Google Scholar 

  • Seuren, P. A. M.: 1973, ‘The Comparative’, in F. Kiefer and N. Ruwet (eds.), Generative Grammar in Europe, Riedel, Dordrecht.

    Google Scholar 

  • Siegel, M.: 1979, Capturing the Adjective, New York, Garland.

  • von Stechow, A.: 1998, ‘Some Remarks on Ch. Kennedy's Syntax and Semantics of Comparison’, Paper presented at the Workshop on the Syntax and Semantics of Comparatives, Zentrum für Allgemeine Sprachwissenschaft, Berlin, November 27-28, 1998.

  • von Stechow, A.: 1984a, ‘Comparing Semantic Theories of Comparison’, Journal of Semantics 3, 1–77.

    Google Scholar 

  • von Stechow, A.: 1984b, ‘My Reaction to Cresswell's, Hellan's, Hoeksema's, and Seuren's Comments’, Journal of Semantics 3, 183–199.

    Google Scholar 

  • Williams, E.: 1977, ‘Discourse and Logical Form’, Linguistic Inquiry 8(1), 101–139.

    Google Scholar 

  • Zwarts, J.: 1995, ‘The Semantics of Relative Position’, in Proceedings of Semantics and Linguistic Theory 5.

  • Zwarts, J. and Y. Winter: 1997, ‘A Semantic Characterization of Locative PPs’, in Lawson, Aaron (ed.), Proceedings of Semantics and Linguistic Theory 7, 294–311.

    Google Scholar 

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  1. Department of Linguistics, Northwestern University, Evanston, IL, 60208, U.S.A.

    Christopher Kennedy

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Kennedy, C. Polar Opposition and the Ontology of ‘Degrees’. Linguistics and Philosophy 24, 33–70 (2001). https://doi.org/10.1023/A:1005668525906

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