natural language, antonymy, strictly ordered domains, formal semantics, distinct domains, distinct entities


Natural language references different types of entities. Some of these entities (e.g. degrees, locations, times) are strictly ordered with respect to one another; others (e.g. individuals, possible worlds) are not. The empirical goal of this paper is to show that some linguistically encoded relations across these domains (e.g. under, slower than) display a polar asymmetry, while others do not. The theoretical goal of this paper is to argue that this asymmetry – and its restriction to only certain relations – is due to intrinsic properties of strictly ordered domains, coupled with a bias in how language users perceive these domains.

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Anscombe, G. 1964. Before and after. The Philosophical Review, 74: 3-24.

Bach, E. 1986. The algebra of events. Linguistics & Philosophy 9:5-16.

Bale, A. 2008. A universal scale of comparison. Linguistics & Philosophy 31: 1-55.

Beaver, D. and Condoravdi, C. 2003. A uniform analysis of before and after. Proceedings of SALT, XIII:37–57.

Beck, S. 2012. Lucinda driving too fast again. Journal of Semantics, 29:1–63.

Beck, S. and Rullmann, H. 1999. A flexible approach to exhaustivity in questions. Natural Language Semantics 7:249-298.

Büring, D. 2007. More or less. In the Proceedings of the Chicago Linguistic Society 43, University of Chicago Press.

Caponigro, I. 2004. The semantic contribution of wh-words and type shifts: evidence from free relatives cross-linguistically. In Young, R.B. (ed.) Proceedings of SALT XIV, pages 38-55. Cornell University.

Carlson, L., Regier, T., and Covey, E. 2003. Defining spatial relations: Reconciling axis and vector representations. In van der Zee, E. and Slack, J., editors, Representing Direction in Language and Space, pages 111–131. Oxford University Press.

Condoravdi, C. 2010. NPI licensing in temporal clauses. Natural Language and Linguistic Theory, 28:877–910.

Cresswell, M. 1976. The semantics of degree. In Partee, B., editor, Montague Grammar. Academic Press.

Cruse, D. A. 1976. Three classes of antonyms in English. Lingua, 38: 281-292.

Cruse, D. A. 1986. Lexical semantics. Cambridge: Cambridge University Press.

Cruse, D. A. 1992. Antonymy revisited: some thoughts on the relationship between words and concepts. In A.J. Lehrer & E.F. Kittay (eds.) Frames, fields, and contrasts: new essays in semantic and lexical organization, pages 289-306. Hillsdale, NJ: Lawrence Erlbaum Associates.

Davidson, D. 1969. The individuation of events. In Rescher, N., editor, Essays in honor of Carl G. Hempel, pages 216–234. Reidel.

Dowty, D. 1979. Word Meaning and Montague Grammar: The Semantics of Verbs and Times in Generative Semantics and in Montagues PTQ. Reidel.

von Fintel, K. 1997. Bare plurals, bare conditionals, and only. Journal of Semantics 14: 1-56.

Heim, I. 2000. Degree operators and scope. In Jackson, B. and Matthews, T., editors, Proceedings of SALT X, pages 40–64. CLC Publications.

Heim, I. 2006. Remarks on comparative clauses as generalized quantifiers. Ms., MIT.

Heim, I. 2007. Little. In Proceedings of SALT XVI. CLC Publications.

Hintikka, J. 1961. Modality and quantification. Theoria 27: 119-28.

Jacobson, P. 1995. On the quantificational force of English free relatives. In Bach, E., Jelinek, E., Kratzer, A. and Partee, B., eds., Quantification in Natural Language, pages 451-486. Kluwer.

Kennedy, C. 1999. Projecting the adjective: the syntax and semantics of gradability and comparison. Garland Press.

Kennedy, C. 2001. Polar opposition and the ontology of degrees. Linguistics & Philosophy 24: 33-70.

Kennedy, C. 2007. Vagueness and grammar: the semantics of relative and absolute gradable adjectives. Linguistics & Philosophy 30:1-45.

Krifka, M. 1989. Nominal reference, temporal constitution and quantification in event semantics. In Bartsch, R., van Bentham, J., and van Emde Boas, P., editors, Semantics and contextual expression, pages 75–115. Foris.

Krifka, M. 2010. Before and after without coercion: comment on the paper by Cleo Condoravdi. Natural Language and Linguistic Theory, 28:911–929.

Kripke, S. 1963. Semantical Considerations on Modal Logic. Acta Philosophica Fennica 16: 83–94.

Landau, B. and Jackendoff, R. 1993. “What” and “where” in spatial language and spatial cognition. Behavioral and Brain Sciences, 16:217–265.

Landman, F. 1989. Groups I. Linguistics & Philosophy 12: 559-606.

Lehrer, A. 1985. Markedness and antonymy. Journal of linguistics, 21:397–429.

Link, G. 1983. The logical analysis of plurals and mass terms: a lattice-theoretical approach. In Bäuerle, Schwarze and von Stechow (eds.) Meaning, Use, and Interpretation of Language. De Gruyter, pages 302-323.

Logan, G. and Sadler, D. 1996. A computational analysis of the apprehension of spatial relations. In Bloom, P., Peterson, M., Nadel, L., and Garrett, M., editors, Language and space, pages 493–529. MIT Press.

Malamud, S. 2012. The meaning of plural definites: a decision-theoretic approach. Semantics & Pragmatics 5(3): 1-58.

Meier, C. 2002. Maximality and minimality in comparatives. In Katz, G., Reinhard, S., and Reuter, P., editors, Sinn und Bedeutung VI, pages 275–287.

O’Keefe, J. 1996. The spatial prepositions in English, vector grammar, and the cognitive map theory. In Bloom, P., Peterson, M., Nadel, L., and Garrett, M., editors, Language and Space, pages 277–316. MIT Press.

Partee, B. 1973. Some structural analogies between tenses and pronouns in English. Journal of Philosophy 70: 601-609.

Potts, C. 2008. Interpretive economy, Schelling Points, and evolutionary stability. Ms., Stanford University.

Prior, A. 1967. Past, Present and Future. Clarendon Press.

Rett, J. 2011. Exclamatives, degrees, and speech acts. Linguistics & Philosophy 34: 411-442.

Rett, J. 2014. The polysemy of measurement. Lingua 143: 242-266.

Rett, J. 2015. The semantics of evaluativity. Oxford University Press.

Rullmann, H. 1995. Maximality in the semantics of wh-constructions. Thesis, University of Massachusetts, Amherst.

Schlenker, P. 2006. Ontological symmetry in language: a brief manifesto. Mind & Language 21: 504-539.

Schwarzschild, R. 1996. Pluralities. Kluwer.

Seuren, P. 1973. The comparative. In Keifer, F. and Ruwet, N., editors, Generative Grammar in Europe. Reidel.

Seuren, P. 1984. The comparative revisited. Journal of Semantics, 3:109–141.

Vendler, Z. 1957. Verbs and times. The Philosophical Review, 66:143–160.

Verkuyl, H. 1972. On the compositional nature of aspects. Reidel.

Zwarts, F. 1995. The semantics of relative position. In M. Simons and T. Galloway (eds.) Proceedings of SALT V, 405-422. Cornell University.

Zwarts, J. 1997. Vectors as relative positions: a compositional semantics of modified PPs. Journal of Semantics, 14:57–86.