Abstract
Proportional quantification and progressive aspect interact in English in revealing ways. This paper investigates these interactions and draws conclusions about the semantics of the progressive and telicity. In the scope of the progressive, the proportion named by a proportionality quantifier (e.g. most in The software was detecting most errors) must hold in every subevent of the event so described, indicating that a predicate in the scope of the progressive is interpreted as an internally homogeneous activity. Such an activity interpretation is argued to be available for telic predicates (e.g. cross the street) because these receive a partitive interpretation except in combination with a completive operator, which asserts that the event so described has culminated. The obligatoriness of the completive operator in the preterit is shown to parametrically distinguish those languages that show completion entailments in the preterit, e.g. English, from those that do not, e.g. Malagasy, Hindi, and Japanese.
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References
Asher Nicholas. (1992) A default, truth conditional semantics for the progressive. Linguistics and Philosophy 15: 463–508
Austin, J. L. 1950. Truth. Proceedings of the Aristotelian Society, supplementary vol. 24: 111–128.
Bach Emmon. (1986) The algebra of events. Linguistics and Philosophy 9: 5–16
Barwise Jon, John Perry. (1983) Situations and attitudes. CSLI, Stanford, CA
Beghelli, Filippo. 1993. A minimalist approach to quantifier scope. In Proceedings of the North East Linguistic Society 23, vol. 1, ed. Amy Schafer, 65–80. Amherst, Mass.: GLSA.
Beghelli, Filippo, and Tim Stowell. 1997. Distributivity and negation: The syntax of each and every. In Ways of scope taking, ed. Anna Szabolcsi, 71–107. Dordrecht: Kluwer Academic Publishers.
Bennett, Michael, and Barbara Partee. 1978. Toward the logic of tense and aspect in English. Bloomington, IN: Indiana University Linguistics Club.
Berman, Stephen. 1987. Situation-based semantics for adverbs of quantification. In Studies in semantics: University of Massachusetts occasional papers in linguistics, vol 12, ed. James Blevins and Anne Vainikka, 46–68. Amherst, Mass.: GLSA.
Chung Sandra. (1994) Wh-agreement and ‘referentiality’ in Chamorro. Linguistic inquiry 25: 1–44
Cipria Alicia, Craige Roberts. (2000). Spanish imperfecto and pretérito: Truth conditions and aktionsart effects in a situation semantics. Natural Language Semantics 8: 297–347
Cooper, Robin. 1996. The role of situations in generalized quantifiers. In The handbook of contemporary semantic theory, ed. Shalom Lappin, 65–86. Oxford: Blackwell.
Cooper, Robin. 1997. Austinian propositions, Davidsonian events and perception complements. In The Tbilisi symposium on language, logic and computation: Selected papers, ed. Jonathan Ginzburg, Zurab Khasidashvili, Carl Vogel, Jean-Jacques Lévy and Enric Vallduví, 19–34. Stanford: CSLI.
Cresswell, M. J. 1977. Interval semantics and logical words. In On the logical analysis of tense and aspect, ed. Christian Rohrer, 7–29. Tübingen: TBL Verlag.
Declerck Renaat. (1979) Aspect and the bounded/unbounded (telic/atelic) distinction. Linguistics 17: 761–794
Diesing Molly. (1992) Indefinites. MIT Press, Cambridge, Mass
Dowty David. (1977) Toward a semantic analysis of verb aspect and the English ‘imperfective’ progressive. Linguistics and Philosophy 1: 45–77
Dowty David. (1979) Word meaning and Montague grammar: The semantics of verbs and times in generative semantics and in Montague’s PTQ. D. Reidel Publishing Company, Dordrecht
Dowty David. (1991) Thematic proto-roles and argument selection. Language 67: 547–619
Elbourne Paul. (2005) Situations and individuals. MIT Press, Cambridge, Mass
Enç Mürvet. (1991) The semantics of specificity. Linguistic inquiry 22: 1–25
Gawron Jean Mark, Peters Stanley (1990) Quantification and anaphora in situation semantics. CSLI, Stanford
Gillon, Brendan. 2008. Implicit arguments: a dilemma for model theoretic semantics. Manuscript, McGill University.
Heim, Irene. 1982. The semantics of definite and indefinite noun phrases. Ph.D. Dissertation, University of Massachusetts, Amherst.
Heim Irene. (1990) E-type pronouns and donkey anaphora. Linguistics and Philosophy 13: 137–177
Hinrichs, Erhard. 1983 . Semantics of the English progressive: A study in situation semantics. In Papers from the 19th regional meeting of the Chicago Linguistics Society, ed. Amy Chukerman, Mitchell Marks, and John F. Richardson, 171–182. Chicago: Chicago Linguistics Society.
Ioup, Georgette. 1975. Some universals for quantifier scope. In Syntax and semantics, vol. 4, ed. John Kimball, 37–58. New York: Academic Press.
Jackendoff Ray. (1983) Semantics and cognition. MIT Press, Cambridge, Mass
Jackendoff Ray. (1987) The status of thematic relations in linguistic theory. Linguistic inquiry 18: 369–411
Jackendoff Ray. (1990) Semantic structures. MIT Press, Cambridge, Mass
Kamp, Hans. 1984. A theory of truth and semantic representation. In Truth, interpretation and information, ed. Jeroen Groenendijk, Theo M. V. Janssen and Martin Stokhof, 1–41. Dordrecht: Foris Publications.
Kenny Arthur. (1963) Actions, emotions and will. Routledge, London
Kiss Katalin. (1993) Wh-movement and specificity. Natural Language and Linguistic Theory 11: 85–120
Keenan, Edward, and Dag Westerståhl. 1997. Generalized quantifiers in linguistics and logic. In Handbook of logic and language, ed. Johan van Benthem and Alice ter Meulen, 837–893. Amsterdam: Elsevier.
Kiparsky, Paul. 1998. Partitive case and aspect. In The projection of arguments: Lexical and compositional factors, ed. William Geuder and Miriam Butt, 265–307. Stanford: CSLI.
Kratzer Angelika (1989) An investigation of the lumps of thought. Linguistics and Philosophy: 12: 607–653
Kratzer, Angelika 1998. Scope or pseudoscope? Are there wide-scope indefinites? In Events and grammar, ed. Susan Rothstein, 163–196. Dordrecht: Kluwer Academic Publishers.
Kratzer Angelika. (2002) Facts: Particulars or information units?. Linguistics and Philosophy 25: 655–670
Kratzer, Angelika. 2004. Telicity and the meaning of objective case. In The syntax of time, ed. Jacqueline Guéron and Jacqueline Lecarme, 389–423. Cambridge, Mass.: MIT Press.
Kratzer, Angelika. 2008. Situations in natural language semantics. The Stanford encyclopedia of philosophy (summer 2008 edition), ed. Edward N. Zalta. URL = < http://plato.stanford.edu/archives/sum2008/entries/situations-semantics/>.
Krifka, Manfred. 1992. Thematic relations as links between nominal reference and temporal constitution. In Lexical matters, ed. Ivan Sag and Anna Szabolcsi, 29–53. Standford: CSLI.
Krifka, Manfed. 1998. The origins of telicity. In Events and grammar, ed. Susan Rothstein, 197–235. Dordrecht: Kluwer Academic Publishers.
Landman Fred. (1992). The progressive. Natural Language Semantics: 1: 1–32
Lascarides Alex. (1991) The progressive and the imperfective paradox. Synthese 87: 401–447
Lasersohn Peter. (1990) A semantics for groups and events. Garland Publishing, New York
Leech Geoffrey. (1971) Meaning and the English verb. Longman, London
Lewis David. (1968) Counterpart theory and quantified modal logic. Journal of Philosophy 65: 113–126
Lewis David. (1971) Counterparts of persons and their bodies. Journal of Philosophy 68: 203–211
Lewis David. (1973) Counterfactuals. Blackwell, Oxford
Lewis David. (1986) On the plurality of worlds. Blackwell, Oxford
Link, Godehard. 1987. Algebraic semantics of event structures. In Proceedings of the 6th Amsterdam colloquium, ed. Jereon Groenendijk, Martin Stokhof and Frank Veltman, 243–262. Amsterdam: ITLI.
Mahajan Anoop. (1992) The specificity condition and CED. Linguistic Inquiry 23: 510–516
Mittwoch Anita. (1988) Aspects of English aspect: On the interaction of perfect, progressive and durational phrases. Linguistics and Philosophy 11: 203–254
Moltmann Friedericke. (1991) Measure adverbials. Linguistics and Philosophy 14: 629–660
Parsons Terrance. (1990) Events in the semantics of English. MIT Press, Cambridge, Mass
Pesetsky, David. 1987. Wh-in-situ: Movement and unselective binding. In The representation of (in)definiteness, ed. Eric Reuland and Alice ter Meulen, 98–129. Cambridge, Mass.: MIT Press.
Portner, Paul. 1992. Situation theory and the semantics of propositional expressions. Ph.D. Dissertation, University of Massachusetts at Amherst.
Portner Paul. (1998) The progressive in modal semantics. Language 74: 760–787
Ramchand Gillian. (1997) Aspect and predication: The semantics of argument structure. Clarendon Press, Oxford
Rasolofo, Andoveloniaina. 2006. Malagasy transitive clause types and their functions. Ph.D. Dissertation, University of Oregon.
Recanati François. (1996) Domains of discourse. Linguistics and Philosophy 19: 445–475
Rooth, Mats. 1985. Association with focus. Ph.D. Dissertation, University of Massachusetts at Amherst.
Saurer Werner. (1984) A formal semantics of tense, aspect and aktionsarten. University Linguistics Club, Bloomington, IN, Indiana
Singh Mona. (1998) On the semantics of the perfective aspect. Natural Language Semantics 6: 171–199
Szabolcsi Anna, Zwarts Frans (1992) Weak islands and algebraic semantics. Natural Language Semantics 1: 235–284
Taylor Barry. (1977) Tense and continuity. Linguistics and Philosophy 1: 199–220
Tenny Carol. (1994) Aspectual roles and the syntax-semantics interface. Kluwer Academic Publishers, Dordrecht
ter Meulen, Alice. 1983. The representation of time in natural language. In Studies in modeltheoretic semantics, ed. Alice ter Meulen, 177–191. Dordrecht: Foris.
ter Meulen, Alice. 1985. Progressives without possible worlds. In Papers from the regional meetings, Chicago Linguistic Society, 408–423. Chicago: Chicago Linguistic Society.
ter Meulen, Alice. 1987. Incomplete Events. In Proceedings of the 6th Amsterdam colloquium, ed. Jereon Groenendijk, Martin Stokhof and Frank Veltman, 263–279. Amsterdam: ITLI.
Travis, Lisa. 2000. Event structure in syntax. In Events as grammatical objects, ed. Carol Tenny and James Pustejovsky, 145–185. Stanford: CSLI.
Vendler Zeno. (1957) Verbs and times. The Philosophical Review 66: 143–160
Vlach, Frank. 1981. The semantics of the progressive. In Syntax and semantics 15: Tense and aspect, ed. Philip Tedeschi and Annie Zaenen, 271–292. New York: Academic Press.
von Fintel, Kai. 1994. Restrictions on quantifier domains. Ph.D. Dissertation, University of Massachusetts, Amherst.
von Fintel, Kai. 2004. A minimal theory of adverbial quantification. In Context dependence in the analysis of linguistic meaning, ed. Hans Kamp and Barbara Partee, 137–175. Amsterdam: Elseveier.
Zucchi Alessandro. (1993) The language of propositions and events. Kluwer Academic Publishers, Dordrecht
Zucchi Sandro. (1999) Incomplete events, intensionality, and imperfective aspect. Natural Language Semantics 7: 179–215
Zucchi Sandro, White Michael (2001) Twigs, sequences and the temporal constitution of predicates. Linguistics and Philosophy 24: 223–270
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Hallman, P. Proportions in time: interactions of quantification and aspect. Nat Lang Semantics 17, 29–61 (2009). https://doi.org/10.1007/s11050-008-9038-y
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DOI: https://doi.org/10.1007/s11050-008-9038-y