The symmetry problem: current theories and prospects
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The structural approach to alternatives (Katzir in Linguist Philos 30(6):669–690, 2007; Fox and Katzir in Nat Lang Semant 19(1):87–107, 2011; Katzir in Semantics, pragmatics and the case of scalar implicatures, Palgrave Macmillan, London, pp 40–71, 2014) is the most developed attempt in the literature at solving the symmetry problem of scalar implicatures. Problematic data with indirect and particularised scalar implicatures have however been raised (Romoli in Snippets 27:14–15, 2013; Trinh and Haida in Nat Lang Semant 25(4):249–270, 2015). To address these problems, Trinh and Haida (2015) proposed to augment the theory with the Atomicity Constraint. Here we show that this constraint falls short of explaining minimal variants of the original problems, and moreover that it runs into trouble with the inferences of sentences involving gradable adjectives like full and empty. We furthermore discuss how the structural approach suffers at times from the problem of ‘too many lexical alternatives’ pointed out by Swanson (Linguist Philos 33(1):31–36, 2010), and at other times from the opposite problem of ‘too few lexical alternatives’. These three problems epitomise the challenge of constructing just enough alternatives under the structural approach to solve the symmetry problem in full generality. Finally, we also sketch another recent attempt at solving the symmetry problem, Bergen et al. (Semant Pragmat 9(20), 2016), which is based on relative informativity and complexity. We argue that Bergen et al. do not provide a general solution to the symmetry problem either, by pointing to some of the open problematic cases that remain for this approach as well. We conclude that while important progress has been made in the theory of alternatives for scalar implicatures in the last few years, a full solution to the symmetry problem has not yet been attained.
KeywordsAlternatives Exhaustification Scalar implicature Symmetry problem
For invaluable discussion and feedback we thank Leon Bergen, Danny Fox, Noah Goodman, Andreas Haida, Roni Katzir, Matt Mandelkern, Tue Trinh, and Wataru Uegaki. Work on this project was partially supported by the British Academy Small Grant SG-153-238 to Jacopo Romoli and Yasutada Sudo and by the Leverhulme Trust grant RPG-2016-100 to Jacopo Romoli.
- Bartsch, R., and T. Vennemann. 1975. The grammar of adjectives and comparison. Linguistische Berichte 20: 19–32.Google Scholar
- Bergen, L., R. Levy, and N. Goodman. 2016. Pragmatic reasoning through semantic inference. Semantics and Pragmatics 9(20). http://semprag.org/article/view/sp.9.20/pdf.
- Chemla, E., and B. Spector. 2011. Experimental evidence for embedded scalar implicatures. Journal of Semantics 28(3): 359–400.Google Scholar
- Chierchia, G., D. Fox, and B. Spector. 2012. Scalar implicature as a grammatical phenomenon. In Semantics: An international handbook of natural language meaning, ed. C. Maienborn, K. von Heusinger, and P. Portner, 2297–2331. Berlin: de Gruyter.Google Scholar
- Crnic, Luka, L., E. Chemla, and D. Fox. 2015. Scalar implicatures of embedded disjunction. Natural Language Semantics 23(4): 271–305.Google Scholar
- Fine, K. 2017. Truth-maker semantics. In A companion to the philosophy of language, 2nd ed, ed. B. Hale. London: Wiley Blackwell.Google Scholar
- Fox, D. 2007. Free choice and the theory of scalar implicatures. In Presupposition and implicature in compositional semantics, ed. U. Sauerland and P. Stateva, 71–120. London: Palgrave Macmillan.Google Scholar
- Fox, D., and R. Katzir. 2011. On the characterization of alternatives. Natural Language Semantics 19(1): 87–107.Google Scholar
- Frank, M., and N. Goodman. 2012. Predicting pragmatic reasoning in language games. Science 336(6084): 998.Google Scholar
- Gazdar, G. 1979. Pragmatics: Implicature, presupposition and logical form. New York: Academic Press.Google Scholar
- Hirschberg, J.B. 1991. A theory of scalar implicature. New York: Garland.Google Scholar
- Horn, L. 1972. On the semantic properties of logical operators in English. Ph.D. thesis, UCLA.Google Scholar
- Horn, L. 1989. A natural history of negation. Chicago: The University of Chicago Press.Google Scholar
- Kao, J., L. Bergen, and N. Goodman. 2014a. Formalizing the pragmatics of metaphor understanding. Proceedings of the annual meeting of the Cognitive Science Society 36. London: Cognitive Science Society.Google Scholar
- Katzir, R. 2014. On the roles of markedness and contradiction in the use of alternatives. In Semantics, pragmatics and the case of scalar implicatures, ed. S. Pistoia-Reda, 40–71. London: Palgrave Macmillan.Google Scholar
- Kennedy, C. 1999. Projecting the adjective: The syntax and semantics of gradability and comparison. New York: Garland Press.Google Scholar
- Kroch, A. 1972. Lexical and inferred meanings for some time adverbs, Quarterly Progress Report of the Research Laboratory of Electronics 104. Cambridge, MA: MIT.Google Scholar
- Lassiter, D., and N. Goodman. 2013. Context, scale structure, and statistics in the interpretation of positive-form adjectives. In Proceedings of SALT 23, ed. T. Snyder, 587–610. LSA. Washington, D.C.Google Scholar
- Levelt, W. 1989. Speaking: From intention to articulation. Cambridge, MA: MIT Press.Google Scholar
- Romoli, J. 2013. A problem for the structural characterization of alternatives. Snippets 27: 14–15.Google Scholar
- Sauerland, U. 2000. No ‘no’: on the crosslinguistic absence of a determiner ‘no’. In Proceedings of the Tsukuba Workshop on Determiners and Quantification, ed. H. Suzuki, 415–444. Tsukuba, Japan: Tsukuba University.Google Scholar
- Sauerland, U. 2004. Scalar implicatures in complex sentences. Linguistics and Philosophy 27(3): 367–391.Google Scholar
- Schlenker, P. 2008. Presupposition projection: Explanatory strategies. Theoretical Linguistics 34(3): 287–316. https://doi.org/10.1515/THLI.2008.021.
- Soames, S. 1982. How presuppositions are inherited: a solution to the projection problem. Linguistic Inquiry 13(3): 483–545.Google Scholar
- Spector, B. 2007. Aspects of the pragmatics of plural morphology: On higher-order implicatures. In Presupposition and implicature in compositional semantics, ed. U. Sauerland and P. Stateva, 243–281. Basingstoke: Palgrave.Google Scholar
- Spector, B. 2016. Comparing exhaustivity operators. Semantics & Pragmatics 9(11): 1–33.Google Scholar
- Swanson, E. 2010. Structurally defined alternatives and lexicalizations of XOR. Linguistics and Philosophy 33(1): 31–36.Google Scholar
- Trinh, T., and A. Haida. 2015. Constraining the derivation of alternatives. Natural Language Semantics 25(4): 249–270.Google Scholar
- van Rooij, R., and K. Schulz. 2004. Exhaustive interpretation of complex sentences. Journal of Logic, Language and Information 13(4): 491–519.Google Scholar
- van Rooij, R., and K. Schulz. 2006. Pragmatic meaning and non-monotonic reasoning: The case of exhaustive interpretation. Linguistics and Philosophy 29(2): 205–250.Google Scholar
- von Fintel, K. 2004. ‘Would you believe it? The King of France is back! Presuppositions and truth-value intuitions. In Descriptions and Beyond, ed. M. Reimer and A. Bezuidenhout, 315–341. Oxford: Oxford University Press.Google Scholar
- von Stechow, A. 1984. Comparing semantic theories of comparison. Journal of Semantics 3(1–2): 1–77.Google Scholar
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