Scalar implicatures in non-monotonic environments

Takashi Morita


Scalar implicatures (SIs) have been traditionally analyzed as pragmatic inferences that arise after semantic computation. Recent studies, however, have presented various challenges to this classic analysis; for instance, it has been claimed that SIs can be interpreted within the scope of various semantic operators. These observations motivate a grammatical analysis of SIs: SIs are derived during or before semantic computation. Among various kinds of evidence for the grammati- cal approach to SIs, especially convincing one is SIs embedded in non-monotonic (NM) environments, which post-semantic analyses have difficulty deriving. This paper introduces a new example of NM operators that allow the SI-embedding in their scope, and I thereby provide further empirical support for the grammatical analysis. On the other hand, I will also show that not all NM operators behave in the same way with respect to SI-embedding. It will turn out that Strawson non- monotonicity is required to embed SIs in the negative component of NM envi- ronments; i.e. SI-embedding is unavailable if the NMity can be decomposed into monotonic assertion and monotonic presupposition.

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Atlas, Jay David. 1997. Negative adverbials, prototypical negation and the De Mor- gan taxonomy. Journal of Semantics 14(4). 349–367.

Atlas, Jay David & Stephen C. Levinson. 1981. It-clefts, informativeness, and log- ical form. In Peter Cole (ed.), Radical Pragmatics, 1–61. New York: Academic Press.

Chierchia, Gennaro. 2004. Scalar implicatures, polarity phenomena, and the syn- tax/pragmatics interface. In Adriana Belletti (ed.), Structures and Beyond, 39– 103. New York: Oxford University Press.

Chierchia, Gennaro. 2006. Broaden your views: Implicatures of domain widening and the “logicality" of language. Linguistic Inquiry 37(4). 535–590.

Chierchia, Gennaro, Danny Fox & Benjamin Spector. 2011. Scalar implicature as a grammatical phenomenon. In Claudia Maienborn, Klaus von Heusinger & Paul Portner (eds.), Semantics: An International Handbook of Natural Language Meaning, 2297–2331. Berlin; New York: De Gruyter Mouton.

Cohen, Laurence Jonathan. 1971. Some remarks on Grice’s views about the logi- cal particles of natural language. In Yehoshua Bar-Hillel (ed.), Pragmatics of natural languages, 50–68. Dordrecht, Holland: D. Reidel Publishing Company.

Ducrot, Oswald. 1973. La Preuve et le dire. Paris: Maison Mame.

Fauconnier, Gilles. 1975. Pragmatic scales and logical structure. Linguistic Inquiry

(3). 353–375.

von Fintel, Kai. 1999. NPI licensing, Strawson entailment, and context dependency.

Journal of Semantics 16(2). 97–148.

Fox, Danny. 2007. Free choice disjunction and the theory of scalar implicatures.

In Uli Sauerland & Penka Stateva (eds.), Presupposition and implicature in

compositional semantics, 71–120. New York: Palgrave Macmillan.

Fox, Danny & Benjamin Spector. To appear. Economy and embedded exhaustification. Natural Language Semantics.

Gajewski, Jon & Yael Sharvit. 2012. In defense of the grammatical approach to

local implicatures. Natural Language Semantics 20(1). 31–57.

Gazdar, Gerald. 1979. Pragmatics : implicature, presupposition and logical form.

New York: Academic Press.

Grice, Paul. 1975. Logic and conversation. In Peter Cole & Jerry L. Morgan (eds.),

Syntax and Semantcis 3: Speech Acts, 41–58. New York: Academic Press. Horn, Laurence. 1989. A natural history of negation. Chicago: University of

Chicago Press.

Horn, Laurence R. 1969. A presuppositional analysis of only and even. In Papers

from the fifth regional meeting, Chicago Linguistic Society, 97–108. Chicago:

University of Chicago.

Horn, Laurence R. 1972. On the semantic properties of logical operators in english:

UCLA PhD dissertation.

Horn, Laurence R. 1985. Metalinguistic negation and pragmatic ambiguity. Lan-

guage 61(1). 121–174.

Horn, Laurence R. 1996. Exclusive company: only and dynamics of vertical infer- ence. Journal of Semantics 13(1). 1–40.

Horn, Laurence R. 2002. Assertric inertia and NPI licensing. In Mary Andronis, Erin Debenport, Anne Pycha & Keiko Yoshimura (eds.), Proceedings from the Panels of the Thirty-eighth Meeting of the Chicago Linguistic Society, 55–82. Chicago: Chicago Linguistics Society.

Kuno, Susumu. 1999. The syntax and semantics of the dake and sika constructions. Harvard Working Paper in Linguistics 7. 144–172.

Levinson, Stephen. 2000. Presumptive meanings. Cambridge, MA: MIT Press.

Mogi, Toshinobu. 2001. Toritateshi ‘sika’-ni okeru ‘yosou’-ni tsuite [On “expec- tation" of the focus particle SIKA]. In Tsukuba Daigaku Touzai Gengo Bunka- no Ruikeiron Tokubetsu Project Kenkyu Seika Houkokusho, Heisei 12-nendo, Bessatsu‘Nihongo-no Toritate’ [Progress report of the special project on typol- ogy of Eastern/Western language culture at Tsukuba University, 2001, ‘Focus

in Japanese’], 231–250. Ibaraki: Tsukuba University.

Numata, Yoshiko. 2000. Toritate [Focus]. In Yoshio Nitta & Takashi Masuoka

(eds.), Toki, hitei, toritate [Time, negation, and Focus], 151–216. Tokyo:

Iwanami Shoten.

Russell, Benjamin. 2006. Against grammatical computation of scalar implicatures.

Journal of Semantics 23(4). 361–382.

Sharvit, Yael & Jon Gajewski. 2008. On the calculation of local implicatures. In

Charles B. Chang & Hannah J. Haynie (eds.), Proceedings of the 26th West Coast Confrence on Formal Linguistics, 411–419. Somerville, MA: Cascadilla Proceedings Project.

Spector, Benjamin. 2013. Bare numerals and scalar implicatures. Language and Linguistics Compass 7. 273–294.

Yoshimura, Keiko. 2007. Focus and polarity: even and only in Japanese: The University of Chicago PhD dissertation.


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