Abstract
I argue that alternative-denoting expressions interact with their semantic context by taking scope. With an empirical focus on indefinites in English, I show how this approach improves on standard alternative-semantic architectures that use point-wise composition to subvert islands, as well as on in situ approaches to indefinites more generally. Unlike grammars based on point-wise composition, scope-based alternative management is thoroughly categorematic, doesn’t under-generate readings when multiple sources of alternatives occur on an island, and is compatible with standard treatments of binding. Unlike all in situ (pseudo-scope) treatments of indefinites, relying on a true scope mechanism prevents over-generation when an operator binds into an indefinite. My account relies only on function application, some mechanism for scope-taking, and two freely-applying type-shifters: the first is Karttunen’s (Linguist Philos 1(1):3–44, 1977. https://doi.org/10.1007/BF00351935) proto-question operator, aka Partee’s (in: Groenendijk, de Jongh, Stokhof (eds) Studies in discourse representation theory and the theory of generalized quantifiers, Foris, Dordrecht, 1986) IDENT, and the second can be factored out of extant approaches to the semantics of questions in the tradition of Karttunen (1977). These type-shifters form a decomposition of LIFT, the familiar function mapping values into scope-takers. Exceptional scope of alternative-generating expressions arises via (snowballing) scopal pied-piping: indefinites take scope over their island, which then itself takes scope.
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References
Aboh, E. O. (2004). Snowballing movement and generalized pied-piping. In A. Breitbarth & H. van Riemsdijk (Eds.), Triggers (pp. 15–48). Berlin: Mouton de Gruyter. https://doi.org/10.1515/9783110197433.15.
Abusch, D. (1994). The scope of indefinites. Natural Language Semantics, 2(2), 83–135. https://doi.org/10.1007/BF01250400.
Alonso-Ovalle, L., & Menéndez-Benito, P. (2013). Exceptional scope: The case of Spanish. In C. Ebert & S. Hinterwimmer (Eds.), Different kinds of specificity across languages (pp. 123–153). Dordrecht: Springer. https://doi.org/10.1007/978-94-007-5310-5_6.
Bach, E., & Cooper, R. (1978). The NP-S analysis of relative clauses and compositional semantics. Linguistics and Philosophy, 2(1), 145–150. https://doi.org/10.1007/BF00365132.
Barker, C. (1995). Possessive descriptions. Stanford: CSLI Publications.
Barker, C. (2002). Continuations and the nature of quantification. Natural Language Semantics, 10(3), 211–242. https://doi.org/10.1023/A:1022183511876.
Barker, C., & Shan, C.-C. (2008). Donkey anaphora is in-scope binding. Semantics and Pragmatics, 1(1), 1–46. https://doi.org/10.3765/sp.1.1.
Barker, C., & Shan, C.-C. (2014). Continuations and natural language. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199575015.001.0001.
Barwise, J. (1987). Noun phrases, generalized quantifiers, and anaphora. In P. Gärdenfors (Ed.), Generalized quantifiers (pp. 1–29). Dordrecht: Reidel. https://doi.org/10.1007/978-94-009-3381-1_1
Beck, S. (2006). Intervention effects follow from focus interpretation. Natural Language Semantics, 14(1), 1–56. https://doi.org/10.1007/s11050-005-4532-y.
Brasoveanu, A., & Farkas, D. F. (2011). How indefinites choose their scope. Linguistics and Philosophy, 34(1), 1–55. https://doi.org/10.1007/s10988-011-9092-7.
Bumford, D. (2015). Incremental quantication and the dynamics of pair-list phenomena. Semantics and Pragmatics, 8(9), 1–70. https://doi.org/10.3765/sp.8.9.
Büring, D. (2005). Binding theory. New York: Cambridge University Press. https://doi.org/10.1017/cbo9780511802669.
Cable, S. (2010). The grammar of Q: Q-particles, wh-movement, and pied piping. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780195392265.001.0001.
Charlow, S. (2014). On the semantics of exceptional scope. Ph.D. thesis, New York University. http://semanticsarchive.net/Archive/2JmMWRjY/.
Charlow, S. (2018). Static and dynamic exceptional scope. Unpublished ms.
Ciardelli, I., Roelofsen, F., & Theiler, N. (2017). Composing alternatives. Linguistics and Philosophy, 40(1), 1–36. https://doi.org/10.1007/s10988-016-9195-2.
Cinque, G. (2005). Deriving Greenberg’s universal 20 and its exceptions. Linguistic Inquiry, 36(3), 315–332. https://doi.org/10.1162/0024389054396917.
Cresti, D. (1995). Extraction and reconstruction. Natural Language Semantics, 3(1), 79–122. https://doi.org/10.1007/BF01252885.
Dayal, V. (1996). Locality in Wh quantification. Dordrecht: Springer Science + Business Media. https://doi.org/10.1007/978-94-011-4808-5.
Dayal, V. (2002). Single-pair versus multiple-pair answers: Wh-in-situ and scope. Linguistic Inquiry, 33(3), 512–520. https://doi.org/10.1162/ling.2002.33.3.512.
Dayal, V. (2016). Questions. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199281268.001.0001.
Dekker, P. (1994). Predicate logic with anaphora. In M. Harvey & L. Santelmann (Eds.), Proceedings of Semantics and Linguistic Theory (Vol. 4, pp. 79–95). Ithaca, NY: Cornell University. https://doi.org/10.3765/salt.v4i0.2459.
Dowty, D. (2007). Compositionality as an empirical problem. In C. Barker & P. Jacobson (Eds.), Direct compositionality (Oxford studies in theoretical linguistics 14) (pp. 23–101). Oxford: Oxford University Press.
Farkas, D. F. (1981). Quantifier scope and syntactic islands. In R. Hendrick, C. Masek, & M. F. Miller (Eds.), Papers from the seventh regional meeting, Chicago Linguistic Society (pp. 59–66). Chicago: CLS.
Farkas, D. F., & Giannakidou, A. (1996). How clause-bounded is the scope of universals? In T. Galloway & J. Spence (Eds.), Proceedings of semantics and linguistic theory (Vol. 6, pp. 35–52). Ithaca, NY: Cornell University. https://doi.org/10.3765/salt.v6i0.2764.
Felix, S. W. (1983). Parasitic gaps in German. Groninger Arbeiten zur Germanistischen Linguistik, 22, 1–46.
Fodor, J. D., & Sag, I. A. (1982). Referential and quantificational indefinites. Linguistics and Philosophy, 5(3), 355–398. https://doi.org/10.1007/BF00351459.
Fox, D. (2012). Lectures on the semantics of questions. Unpublished lecture notes.
Francez, I. (2018). Summative existentials. Linguistic Inquiry, 49(4), 723–739. https://doi.org/10.1162/ling_a_00292.
Geurts, B. (2000). Indefinites and choice functions. Linguistic Inquiry, 31(4), 731–738. https://doi.org/10.1162/002438900554550.
Giorgolo, G., & Asudeh, A. (2012). \((M,\eta ,\star )\): Monads for conventional implicatures. In A. A. Guevara, A. Chernilovskaya, & R. Nouwen, (Eds.), Proceedings of Sinn und Bedeutung 16 (pp. 265–278). MIT Working Papers in Linguistics. http://mitwpl.mit.edu/open/sub16/Giorgolo.pdf.
Giorgolo, G., & Unger, C. (2009). Coreference without discourse referents. In B. Plank, E. T. K. Sang, & T.V. de Cruys, (Eds.), Proceedings of the 19th meeting of Computational Linguistics in The Netherlands (pp. 69–81).
Groenendijk, J., & Stokhof, M. (1991). Dynamic predicate logic. Linguistics and Philosophy, 14(1), 39–100. https://doi.org/10.1007/BF00628304.
Hagstrom, P. (1998). Decomposing questions. Ph.D. thesis, Massachusetts Institute of Technology.
Hamblin, C. L. (1973). Questions in Montague English. Foundations of Language, 10(1), 41–53.
Haspelmath, M. (1997). Indefinite pronouns. Oxford: Oxford University Press. https://doi.org/10.1093/oso/9780198235606.001.0001.
Heck, F. (2008). On pied-piping: Wh-movement and beyond. Berlin: Mouton de Gruyter. https://doi.org/10.1515/9783110211467.
Heim, I. (1982). The semantics of definite and indefinite noun phrases. Ph.D. thesis, University of Massachusetts at Amherst. http://semanticsarchive.net/Archive/Tk0ZmYyY/.
Heim, I. (2011a). Compositional semantics of questions and wh-movement. Unpublished lecture notes.
Heim, I. (2011b). Definiteness and indefiniteness. In K. von Heusinger, C. Maienborn, & P. Portner (Eds.), Semantics: An international handbook of natural language meaning (Vol. 2 (HSK 33), pp. 996–1025). Berlin: de Gruyter. https://doi.org/10.1515/9783110255072.996. (Chap. 41).
Heim, I. (2014). Notes on interrogative semantics. Unpublished lecture notes.
Heim, I., & Kratzer, A. (1998). Semantics in generative grammar. Oxford: Blackwell.
Hendriks, H. (1993). Studied flexibility: Categories and types in syntax and semantics. Ph.D. thesis, University of Amsterdam.
Huang, C.-T. J. (1982). Logical relations in Chinese and the theory of grammar. Ph.D. thesis, Massachusetts Institute of Technology.
Huhmarniemi, S. (2012). Finnish \(\text{A}^{\prime }\)-movement: Edges and islands. Ph.D. thesis, University of Helsinki.
Karttunen, L. (1977). Syntax and semantics of questions. Linguistics and Philosophy, 1(1), 3–44. https://doi.org/10.1007/BF00351935.
Kayne, R. S. (1998). Overt vs. covert movements. Syntax, 1(2), 128–191. https://doi.org/10.1111/1467-9612.00006.
Kennedy, C. (2014). Predicates and formulas: Evidence from ellipsis. In L. Crnič, & U. Sauerland, (Eds.), The art and craft of semantics: A festschrift for Irene Heim, vol. 1 (MIT Working Papers in Linguistics, pp. 253–277). http://semanticsarchive.net/Archive/jZiNmM4N/.
Kobele, G. M. (2010). Inverse linking via function composition. Natural Language Semantics, 18(2), 183–196. https://doi.org/10.1007/s11050-009-9053-7.
Kotek, H., & Erlewine, M. Y. (2016). Covert pied-piping in English multiple wh-questions. Linguistic Inquiry, 47(4), 669–693. https://doi.org/10.1162/ling_a_00226.
Kratzer, A., & Shimoyama, J. (2002). Indeterminate pronouns: The view from Japanese. In Y. Otsu (Ed.), Proceedings of the Third Tokyo Conference on Psycholinguistics (pp. 1–25). Tokyo: Hituzi Syobo.
Krifka, M. (2006). Association with focus phrases. In V. Molnár & S. Winkler (Eds.), The architecture of focus (pp. 105–136). Berlin: Mouton de Gruyter.
Larson, R., & Segal, G. (1995). Knowledge of meaning. Cambridge, MA: MIT Press.
Lewis, D. (1981). Index, context, and content. In S. Kanger & S. Öhman (Eds.), Philosophy and grammar: Papers on the occasion of the quincentennial of Uppsala University (pp. 79–100). Dordrecht: Springer. https://doi.org/10.1007/978-94-009-9012-8_6.
Link, G. (1983). The logical analysis of plurals and mass terms: A lattice-theoretical approach. In R. Bäuerle, C. Schwarze, & A. von Stechow (Eds.), Meaning, use and interpretation of language (pp. 303–323). Berlin: Walter de Gruyter. https://doi.org/10.1515/9783110852820.302.
Ludlow, P., & Neale, S. (1991). Indefinite descriptions: In defense of Russell. Linguistics and Philosophy, 14(2), 171–202. https://doi.org/10.1007/bf00627402.
May, R. (1985). Logical form: Its structure and derivation. Cambridge, MA: MIT Press.
Moggi, E. (1989). Computational lambda-calculus and monads. In Proceedings of the 4th annual Symposium on Logic in Computer Science (pp. 14–23). Pacific Grove, CA: IEEE Press. https://doi.org/10.1109/lics.1989.39155.
Moortgat, M. (1997). Categorial type logics. In J. van Benthem & A. ter Meulen (Eds.), Handbook of logic and language (pp. 93–177). Amsterdam: Elsevier.
Moritz, L., & Valois, D. (1994). Pied-piping and specifier-head agreement. Linguistic Inquiry, 25(4), 667–707. http://www.jstor.org/stable/4178881.
Muskens, R. (1996). Combining Montague semantics and discourse representation. Linguistics and Philosophy, 19(2), 143–186. https://doi.org/10.1007/BF00635836.
Nishigauchi, T. (1990). Quantification in the theory of grammar. Dordrecht: Kluwer. https://doi.org/10.1007/978-94-009-1972-3.
Partee, B. H. (1986). Noun phrase interpretation and type-shifting principles. In J. Groenendijk, D. de Jongh, & M. Stokhof (Eds.), Studies in discourse representation theory and the theory of generalized quantifiers (pp. 115–143). Dordrecht: Foris.
Partee, B. H., & Rooth, M. (1983). Generalized conjunction and type ambiguity. In R. Bäuerle, C. Schwarze, & A. von Stechow (Eds.), Meaning, use and interpretation of language (pp. 361–383). Berlin: Walter de Gruyter. https://doi.org/10.1515/9783110852820.361.
Poesio, M. (1996). Semantic ambiguity and perceived ambiguity. In K. van Deemter & S. Peters (Eds.), Semantic ambiguity and underspecification (CSLI lecture notes 55) (pp. 159–201). Stanford: CSLI Publications.
Potts, C. (2005). The logic of conventional implicatures. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199273829.001.0001.
Ramchand, G. (1997). Questions, polarity and alternative semantics. In K. Kusumoto (Ed.), Proceedings of the North East Linguistic Society (Vol. 27, pp. 383–396). Amherst, MA: GLSA.
Reinhart, T. (1997). Quantifier scope: How labor is divided between QR and choice functions. Linguistics and Philosophy, 20(4), 335–397. https://doi.org/10.1023/A:1005349801431.
Reinhart, T. (1998). Wh-in-situ in the framework of the Minimalist Program. Natural Language Semantics, 6(1), 29–56. https://doi.org/10.1023/A:1008240014550.
Romero, M., & Novel, M. (2013). Variable binding and sets of alternatives. In A. Fălăuș (Ed.), Alternatives in semantics (pp. 174–208). London: Palgrave Macmillan. https://doi.org/10.1057/9781137317247_7.
Rooth, M. (1985). Association with focus. Ph.D. thesis, University of Massachusetts at Amherst.
Rooth, M. (1992). Ellipsis redundancy and reduction redundancy. In S. Berman, & A. Hestvik, (Eds.), Proceedings of the Stuttgart workshop on ellipsis (Arbeitspapiere des SFB 34, No. 29). Stuttgart: University of Stuttgart.
Rooth, M. (1996). Focus. In S. Lappin (Ed.), The handbook of contemporary semantic theory (pp. 271–298). Oxford: Blackwell.
Rooth, M., & Partee, B. H. (1982). Conjunction, type ambiguity, and wide scope ‘or’. In D. P. Flickinger, M. Macken, & N. Wiegand (Eds.), Proceedings of the first West Coast Conference on Formal Linguistics (pp. 353–362). Stanford: Stanford Linguistics Association.
Ruys, E. (1992). The scope of indefinites. Ph.D. thesis, OTS, University of Utrecht.
Schlenker, P. (2006). Scopal independence: A note on branching and wide scope readings of indefinites and disjunctions. Journal of Semantics, 23(3), 281–314. https://doi.org/10.1093/jos/ffl005.
Schwarz, B. (2001). Two kinds of long-distance indefinites. Unpublished ms.
Schwarzschild, R. (1996). Pluralities. Dordrecht: Kluwer. https://doi.org/10.1007/978-94-017-2704-4.
Schwarzschild, R. (1999). Givenness, AvoidF and other constraints on the placement of accent. Natural Language Semantics, 7(2), 141–177. https://doi.org/10.1023/A:1008370902407.
Shan, C.-C. (2002). Monads for natural language semantics. In K. Striegnitz, (Ed.), Proceedings of the ESSLLI 2001 student session (pp. 285–298). arXiv:cs/0205026.
Shan, C.-C. (2004). Binding alongside Hamblin alternatives calls for variable-free semantics. In K. Watanabe, & R.B. Young, (Eds.), Proceedings of Semantics and Linguistic Theory (Vol. 14, pp. 289–304). Ithaca, NY: Cornell University. https://doi.org/10.3765/salt.v14i0.2901.
Shimoyama, J. (2006). Indeterminate phrase quantification in Japanese. Natural Language Semantics, 14(2), 139–173. https://doi.org/10.1007/s11050-006-0001-5.
Singh, R. (2015). Presupposition projection: Global accommodation, local accommodation, and scope ambiguities. Unpublished ms.
Sternefeld, W. (1998). The semantics of reconstruction and connectivity. Arbeitspapier 97, SFB 340. Universität Tübingen & Universität Stuttgart, Germany.
Sternefeld, W. (2001a). Partial movement constructions, pied piping, and higher order choice functions. In C. Fery & W. Sternefeld (Eds.), Audiatur vox sapientiae—A festschrift for Arnim von Stechow (pp. 473–486). Berlin: Akademie Verlag. https://doi.org/10.1515/9783050080116.473.
Sternefeld, W. (2001b). Semantic vs. syntactic reconstruction. In C. Rohrer, A. Roßdeutscher, & H. Kamp (Eds.), Linguistic form and its computation (pp. 145–182). Stanford: CSLI Publications.
Szabó, Z. G. (2011). Bare quantifiers. Philosophical Review, 120(2), 247–283. https://doi.org/10.1215/00318108-2010-029.
Szabolcsi, A. (2010). Quantification. New York: Cambridge University Press. https://doi.org/10.1017/cbo9780511781681.
Unger, C. (2012). Dynamic semantics as monadic computation. In M. Okumura, D. Bekki, & K. Satoh (Eds.), New frontiers in artificial intelligence JSAI-isAI 2011, vol. 7258 (Lecture notes in artificial intelligence) (pp. 68–81). Berlin: Springer. https://doi.org/10.1007/978-3-642-32090-3_7.
van Eijck, J., & Unger, C. (2010). Computational semantics with functional programming. Cambridge: Cambridge University Press.
von Fintel, K., & Heim, I. (2011). Intensional semantics, Spring 2011 edition. Unpulished lecture notes.
von Stechow, A. (1996). Against LF pied-piping. Natural Language Semantics, 4(1), 57–110. https://doi.org/10.1007/BF00263537.
Wadler, P. (1992). Comprehending monads. Mathematical Structures in Computer Science, 2(4), 461–493. https://doi.org/10.1017/S0960129500001560.
Wadler, P. (1994). Monads and composable continuations. LISP and Symbolic Computation, 7(1), 39–56. https://doi.org/10.1007/BF01019944.
Wadler, P. (1995). Monads for functional programming. In J. Jeuring & E. Meijer (Eds.), Advanced functional programming, vol. 925 of Lecture notes in computer science (pp. 24–52). Berlin: Springer. https://doi.org/10.1007/3-540-59451-5_2.
Winter, Y. (1997). Choice functions and the scopal semantics of indefinites. Linguistics and Philosophy, 20(4), 399–467. https://doi.org/10.1023/A:1005354323136.
Winter, Y. (1998). Flexible Boolean semantics. Ph.D. thesis, Utrecht University.
Wold, D.E. (1996). Long distance selective binding: The case of focus. In T. Galloway, & J. Spence (Eds.), Proceedings of Semantics and Linguistic Theory (Vol. 6, pp. 311–328). Ithaca, NY: Cornell University. https://doi.org/10.3765/salt.v6i0.2766.
Acknowledgements
This work benefited a lot from conversations with Mark Baker, Chris Barker, Rajesh Bhatt, Dylan Bumford, Lucas Champollion, Veneeta Dayal, Irene Heim, Chris Kennedy, Luisa Martí, Philippe Schlenker, Yael Sharvit, Anna Szabolcsi, and Ede Zimmermann. Thanks also to audiences at SALT 25, New York University, University of Connecticut, ESSLLI 2015, Cornell, University of Maryland, UC San Diego, and UMass Amherst, and to the students in my graduate classes at Rutgers, who offered feedback on early versions of this material.
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Charlow, S. The scope of alternatives: indefiniteness and islands. Linguist and Philos 43, 427–472 (2020). https://doi.org/10.1007/s10988-019-09278-3
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DOI: https://doi.org/10.1007/s10988-019-09278-3