Abstract
The remarkable efficiency of language acquisition and linguistic communication must rely on some systematic mapping relating forms and meanings. As a result of this understanding, the study of the relations between syntactic and semantic descriptions has become a central element of all formal linguistic theories. Problems of quantifier scope constitute a perennial challenge for uncovering the relations between form and meaning. In some notorious examples, a linguistic element behaves semantically like a logical quantifier, but in a way that is not predicted from straightforward assumptions about its semantics or its position in the syntactic description. In many of these cases, a quantificational expression semantically behaves as if it appeared in a different position than its actual position in the sentence. Such effects are often referred to as inverse scope effects. Standard mechanisms that account for these phenomena often complicate the relations between the syntax and the semantics of natural language. As a result, much research has been devoted to the problem of quantifier scope, in an enduring attempt to reveal the status and the theoretical significance of scope shifting principles in formal linguistics.
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Bibliography
S. P. Abney. The English Noun Phrase in its Sentential Aspect. PhD thesis, Massachusetts Institute of Technology, 1987.
J. Aoun and Y. A. Li. Scope and Constituency. Linguistic Inquiry 20-2:141-172, 1989.
D. Abusch. The scope of indefinites. Natural Language Semantics, 3:88.135, 1994.
K. Ajdukiewicz. Die syntaktische konnexität. Studia Philosophia, 1:1.27, 1935.
A. Altman, Y. Peterzil, and Y. Winter. Scope dominance with upward monotone quantifiers. Journal of Logic, Language and Information, 14:445- 455, 2005.
C. Barker. Continuations and the nature of quantification. Natural Language Semantics 10:211-242, 2002.
C. Barker and P. Jacobson. Introduction: Direct compositionality. In Barker, C. and Jacobson, P., eds., Direct Compositionality. Oxford University Press, Oxford, 2007.
J. Barwise. On branching quantfiers in English. Journal of Philosophical Logic, 8:47-80, 1979.
J. Barwise and R. Cooper. Generalized Quantifiers and Natural Language. Linguistics and Philosophy 4, 159-219, 1981.
S. Beck and U. Sauerland. Cumulation is needed: a reply to Winter (2000a). Natural Language Semantics, 8:349–371, 2001.
F. Beghelli. A minimalist approach to Quantifier Scope. NELS 23, Vol 1, 65-80, 1993.
F. Beghelli. The Phrase Structure of Quantifier Scope. PhD diss, UCLA, 1995.
F. Beghelli, D. Ben-Shalom, and A. Szabolcsi. Variation, distributivity, and the illusion of branching. In Szabolcsi, A., editor, Ways of Scope Taking. Kluwer, Dordrecht, 1997.
F. Beghelli and T. Stowell. Distributivity and Negation: the Syntax of each and every. In Szabolcsi, A., editor, Ways of Scope Taking. Kluwer, Dordrecht. 71-107, 1997.
G. Ben-Avi and Y.Winter. The semantics of intensionalization. In Proceedings of the Workshop on New Directions in Type-theoretic Grammars, 2007.
J. van Benthem. Essays in Logical Semantics. D. Reidel, Dordrecht, 1986.
J. van Benthem. Polyadic quantifiers. Linguistics and Philosophy, 12:437-464, 1989.
J. van Benthem. Language in Action: categories, lambdas and dynamic logic. North-Holland, Amsterdam, 1991.
M. Bergmann. Cross-categorial semantics for conjoined common nouns. Linguistics and Philosophy 5:399-401, 1982.
L. Bouton. Antecedent-contained proforms. In: Proceedings of CLS 6, 154-167, 1970.
B. Bruening. QR obeys Superiority: Frozen Scope and ACD. LI 32-2 p. 233-273, 2001.
D. Büring. The great scope inversion conspiracy. Linguistics and Philosophy 20, 175-194, 1997.
G. N. Carlson. Reference to Kinds in English. PhD thesis, University of Massachusetts at Amherst, 1977.
B. Carpenter. Type-Logical Semantics. MIT Press, Cambridge, Massachusetts, 1997.
G. Chierchia. A puzzle about indefinites. In C. Cecchetto, G. C. and Guasti, M. T., eds., Semantic Interfaces: reference, anaphora and aspect. CSLI Publications, Stanford, 2001.
N. Chomsky. Studies on semantics in generative grammar. The Hague, Mouton, 1972.
N. Chomsky. Conditions On Transformations. In Festschrift for Morris Halle, ed. Stephen Anderson & Paul R. Kiparsky, 232-286. New York: Holt, Rinehart & Winston 1973.
N. Chomsky. Questions of Form and Interpretation. Linguistic Analysis 1-1, 75-109, 1975.
N. Chomsky. Conditions on Rules of Grammar. Linguistic Analysis 2, 303–351, 1976.
N. Chomsky. On Wh-Movement. In Formal Syntax, ed. Peter W. Culicover, Thomas Wasow and Adrian Akmajian, 71-132. San Francisco, London: Academic Press, 1977.
N. Chomsky. Rules and representations. Oxford : Blackwell, 1980.
N. Chomsky. Lectures on Government and Binding. Foris, Dordrecht, 1981.
N. Chomsky. Barriers. MIT Press, Cambridge, Mass, 1986.
N. Chomsky. Knowledge of Language: Its Nature, Origin and Use. New York: Praeger, 1986.
N. Chomsky. A minimalist Program for Linguistic Theory. In The view from Building 20: Essays in honor of Sylvain Bromberger, ed. Kenneth Hale and Samuel Jay Keyser, 1-52. Cambridge, Mass.: MIT Press 1993.
N. Chomsky. The Minimalist Program. Cambridge, Mass: MIT Press, 1995.
N. Chomsky and H. Lasnik. The theory of principles and parameters. In J. Jacobs et al. (eds.) Syntax: An International Handbook of Contemporary Research, Vol. 1.Walter de Gruyter, pp. 506-569, 1993. (Reprinted in Chomsky 1995).
R. Cooper. Montague’s Semantic Theory and Transformational Syntax. PhD thesis, University of Massachusetts at Amherst, 1975.
R. Cooper. Variable binding and Relative Clauses. In F. Guenthner & S.J. Schmidt (eds.), Formal Semantics and Pragmatics for Natural Languages, Reidel, Dordrecht, pp. 131-169, 1979.
R. Cooper. Quantification and Syntactic Theory. Reidel, Dordrecht, 1983.
A. Cormack. VP Anaphora: Variables and Scope. In F. Landman and F. Veltman (eds.), Varieties of Formal Semantics. Dordrecht: Foris, 1985.
D. Cresti. Extraction and Reconstruction. Natural Language Semantics 3: 79-122, 1995.
W. D. Davies and S. Dubinsky. On Extraction from NPs. Natural Language & Linguistic Theory 21: 1–37, 2003.
Ph. de Groote. Towards Abstract Categorial Grammars. In: Association for Computational Linguistics, 39th Annual Meeting and 10th Conference of the European Chapter, Proceedings of the Conference, pages 148–155, Toulouse, France, 2001.
D. Dowty, R. Wall, and S. Peters. Introduction to Montague Semantics. D. Reidel, Dordrecht, 1981.
U. Egli and K. von Heusinger. The epsilon operator and e-type pronouns. In Egli, U., Pause, P. E., Schwarze, C., von Stechow, A., and Wienold, G., editors, Lexical Knowledge in the Organization of Language. John Benjamins, Amsterdam-Philadelphia, 1995.
E. Engdahl. The Syntax and Semantics of Questions in Swedish. PhD Dissertation, University of Massachusetts at Amherst, 1980.
D. Farkas. Evaluation indices and scope. In Szabolcsi, A., editor, Ways of Scope Taking. Kluwer, Dordrecht, 1997.
G. Fauconnier. Do quantifiers branch? Linguistic Inquiry, 6:555-567, 195.
R. Fiengo and J. Higginbotham. Opacity in NP. Linguistic Analysis 7.4. pp. 395-421, 1981.
R. Fiengo and R. May. Indices and Identity. Cambridge, Mass.: MIT Press, 1994.
J. D. Fodor and I. Sag. Referential and quantificational indefinites. Linguistics and Philosophy, 5:355-398, 1982.
D. Fox. Economy and Scope. Natural Language Semantics 3:283-341, 1995.
D. Fox. Reconstruction, Binding Theory, and the nterpretation of Chains, LI 30, p. 157-196, 1999.
D. Fox. Economy and semantic interpretation. Cambridge, Massachusetts : MIT Press, 2000.
D. Fox and J. Nissenbaum. Extraposition and Scope: A case for overt QR, Proceedings of the West Coast Conference on Formal Linguistics 18, 1999.
D. Gabbay and J. Moravcsik. Branching quantifiers, English and Montague Grammar. Theoretical Linguistics, 1.1:139-157 1974.
D. Gallin. Intensional and Higher-Order Logic. North-Holland Publishing Company, Amsterdam 1975.
L. T. F. Gamut. Logic, Language, and Meaning; Volume 2: Intensional Logic and Logical Grammar, 1991.
D. Gil. Quantifier Scope, Linguistic Variation, and natural Language Semantics. L&P 5:421-472, 1982.
J. Groenendijk and M. Stokhof. Studies on the Semantics of Questions and the Pragmatics of Answers. PhD Thesis, Universiteit van Amsterdam, 1984.
J. Groenendijk and M. Stokhof. Questions. In: J. van Benthem & A. ter Meulen (eds), Handbook of Logic and Language, Amsterdam/Cambridge, Mass., Elsevier/MIT Pess, pp. 1055-1124. 1997.
I. Heim. Predicates or Formulas? Evidence from Ellipsis. In A Lawson & E. Cho (eds), Proceedings of Semantics and Linguistic Theory VII, p. 197–221. Ithaca, NY: CLC publications, 1997.
I. Heim and A. Kratzer. Semantics in generative grammar. Oxford, Blackwell, 1998.
H. Hendriks. Studied Flexibility: categories and types in syntax and semantics. PhD thesis, University of Amsterdam. 1993.
L. Henkin. Some remarks on infinitely long formulas. In Infinitistic Methods, Proceedings of the Symposium on Foundations of Mathematics, 1959. Pergamon Press, Warsaw, 1961.
C. Heycock and R. Zamparelli. Friends and colleagues: plurality, coordintion, and the structure of DP. Natural Language Semantics, 13:201-270, 2005.
J. Hintikka. Quantifiers vs. quantification theory. Dialectica, 27:329-358. Reprinted in Linguistic Inquiry 5 (1974):153-177, 1973.
H. Hoji. Logical form constraints and configurational structures in Japanese. Diss, U. of Washington, 1985.
N. Hornstein. Logical Form, from GB to Minimalism. Blackwell 1995.
C.-T. J. Huang. Logical Relations in Chinese and the Theory of Grammar. Diss. MIT, 1982.
G. L. Ioup. The Treatment of Quantifier Scope in a Transformational Grammar. Diss. City U. of New York, 1975.
R. Jackendoff. Semantic Interpretation in Generative Grammar. Cambridge, Mass.: MIT Press, 1972.
P. Jacobson. Antecedent Contained Deletion in a Variable Free Semantics, in: Proceedings of the Second Conference on Semantics and Linguistic Theory, Ohio State University. pp. 193-213, 1992.
P. Jacobson. The Syntax/Semantics Interface in Categorial Grammar, In The Handbook Of Contemporary Semantic Theory, Lappin, Shalom (Ed), Oxford, England: Blackwell, 1996, pp 89-116, 1996.
P. Jacobson. Antecedent contained deletion and piedpiping: Evidence for a variable free semantics. In Proceedings of SALT 8, ed. by Devon Strolovitch and Aaron Lawson, 74–91. Ithaca, N.Y.: Cornell University, CLC Publications, 1998.
P. Jacobson. Towards a variable-free semantics. Linguistics and Philosophy, 22:117-185, 1999.
P. Jacobson. The (dis)organization of grammar: 25 years. Linguistics and Philosophy, 22:601-626, 2002.
G. Jäger. Anaphora and quantification in Categorial Grammar. In: M. Moortgat (ed.), Logical Aspects of Computational Linguistics, Springer Lecture Notes in Artificial Intelligence 2014, Springer, pp. 70-90, 2001.
G. Jäger. Anaphora and Type Logical Grammar, Springer, Dordrecht, 2005.
T. M. V. Janssen. Foundations and Applications of Montague Grammar. PhD thesis, Mathematisch Centrum, Amsterdam, 1983.
T. M. V. Janssen. Compositionality. In van Benthem, J. and ter Meulen, A., editors, Handbook of Logic and Language. Elsevier, Amsterdam, 1996.
L. R. Horn. A Natural History of Negation. University of Chicago Press, Chicago, 1989.
L. Karttunen and S. Peters. Interrogative Quantifiers. In: C. Rohrer (ed.), Time, Tense and Quantifiers. Tübingen: Max Niemeyer Verlag.181-205, 1980.
R. M. Kempson. Semantic Theory. Cambridge University Press: Cambridge, 1977.
R. M. Kempson and A. Cormack. Ambiguity and quantification. Linguistics and Philosophy, 4:259-309, 1981.
E. Keenan. Beyond the Frege boundary. Linguistics and Philosophy, 15:199-221, 1992.
E. Keenan and L. Faltz. Boolean Semantics for Natural Language. Reidel: Dordrecht, 1985.
E. Keenan and J. Stavi. A semantic characterization of natural language determiners. Linguistics and Philosophy, 9:253-326 1986.
C. Kennedy. Antecedent-contained deletion and the syntax of quantification. Linguistic Inquiry 28: 662-688, 1997.
K. É. Kiss. Logical Structure in Syntactic Structure: The Case of Hungarian. In: Logical Structure and Linguistic Structure: Cross-Linguistic Perspectives. C.-T. J. Huang and R. May (eds.), 123–148. Dordrecht: Reidel, 1991.
K. É. Kiss. Quantifier Scope Ambiguities. In: The Blackwell Companion to Syntax. Everaert, M. and H. van Riemsdijk (eds). Blackwell, 2006.
A. Kratzer. Scope or pseudoscope? Are there wide scope indefinites? In Rothstein, S., editor, Events and Grammar. Kluwer, Dordrecht, 1998.
M. Krifka. Nominal reference, temporal constitution and quantification in event semantics. In Bartsch et al. (editors), Semantics and Contextual Expression. Foris: Dordrecht. 1989.
H. S. Kurtzman and M. C. MacDonald. Resolution of quantifier scope ambiguities. Cognition, 48, 243-279, 1993.
G. Lakoff. Repartee. Foundations of Language 6, 389-422 1970.
J. Lambek. The mathematics of sentence structure. American Mathematical Monthly, 65:154-169, 1958.
F. Landman. Events and Plurality: the Jerusalem lectures. Kluwer, Dordrecht, 2000.
R. K. Larson. On the syntax of disjunction scope. Natural Language and Linguistic Theory, 3:217-265, 1985.
R. K. Larson. Quantifying into NP. ms, 1985.
R. K. Larson and R. May. Antecedent containment or vacuous movement: Reply to Baltin. Linguistic Inquiry 21:103-122, 1990.
R. K. Larson. Sentence-final adverbs and “scope”. In M. Wolf and K. Moulton (eds.) Proceedings of NELS 34. UMass: GLSA, 2003
H. Lasnik. Lectures on Minimalist Syntax. University of Connecticut Working Papers in Linguistics, Occasional Papers Issue 1. Reprinted in: H. Lasnik. 1999. Minimalist Analysis. Malden, Ma: Blackwell, 1993.
H. Lasnik and J. Kupin. A restrictive theory of transformational grammar. Theoretical Linguistics 4:173-196, 1977.
F.-H. Liu. Scope Dependency in English and Chinese. Diss, UCLA, 1990.
G. Longobardi. Extraction from NP and the Proper Notion of Head Government. In: Alessandra Giorgi and Giuseppe Longobardi (eds.), The Syntax of Noun Phrases, Cambridge University Press, Cambridge, pp. 57-112, 1987.
R. May. The Grammar of Quantification. PhD Diss., MIT, Cambridge, Mass. Repr. by IULC, 1977.
R. May. Logical Form, Its Structure and Derivation. Cambridge, Mass.: MIT Press, 1985.
R. May. Interpreting Logical Form. Linguistics and Philosophy 12, 387-435, 1989.
R. May and A. Bale. Inverse Linking. In: M. Everaert & H. van Riemsdijk (eds), The Blackwell Companion to Syntax, Vol. II, 2006.
J. Merchant. The syntax of silence: Sluicing, islands, and the theory of ellipsis. Oxford University Press: Oxford, 2001.
G. L. Milsark. Existential Sentences in English. PhD Diss MIT, 1974.
R. Montague. Universal grammar. Theoria, 36:373-398. Reprinted in R. Thomason, editor (1974), Formal Philosophy: selected papers of Richard Montague, Yale, New Haven, 1970.
R. Montague. The Proper Treatment of Quantification in Ordinary English. In: Approaches to Natural Language, eds. J. Hintikka, J. Moravcsik & P. Suppes. Dordrecht: Reidel, 1973.
M. Moortgat. Categorial type logics. In van Benthem, J. and ter Meulen, A., editors, Handbook of Logic and Language. Elsevier Science, Amsterdam, 1997.
R. Muskens. Language, Lambdas, and Logic. In Geert-Jan Kruijff and Richard Oehrle, editors, Resource Sensitivity in Binding and Anaphora, Studies in Linguistics and Philosophy, pages 23-54. Kluwer, 2003.
R. T. Oehrle. Term-labeled categorial type systems. Linguistics & Philosophy, 17:633-678, 1994.
J. Pafel. Scope and word order. In J. Jacobs et. Al, (eds) Syntax: an International Handbook of Contemporary Research. De Gruyter, Berlin. 867-888, 1994.
B. Partee and M. Rooth. Generalized conjunction and type ambiguity. In Bauerle, R., Schwarze, C., and von Stechow, A., editors, Meaning, Use and Interpretation of Language. De Gruyter, Berlin, 1983.
M. Postal. On Certain Ambiguities. Linguistic Inquiry 5-3, 367-424 1974.
W. Quine. Quantifiers and propositional attitudes. Journal of Philosophy 53, 177-187, 1956.
T. Reinhart. The Syntactic Domain of Anaphora. PhD. Diss., MIT, Cambridge, Mass, 1976.
T. Reinhart. Anaphora and Semantic Interpretation. Croom Helm, London & Sydney, 1983.
T. Reinhart. Non-Quantificational LF. In The Chomskyan Turn, ed. A. Kasher. Oxford: Blackwell, 1991.
T. Reinhart. Wh-in-situ: an apparent paradox. In Proceedings of the 8th Amsterdam Colloquium. University of Amsterdam, and Computation, 1992.
T. Reinhart. Quantifier Scope: How Labour is Divided between QR and Choice Functions, Linguistics and Philosophy 20, 335-397, 1997.
T. Reinhart. Interface strategies: optimal and costly computations. Cambridge, Massachusetts, MIT Press, 2006.
T. Reinhart. Scope shift with numeral indefinites — syntax or processing? In L. Tasmowski and S. Vogeleer (eds), Non-definiteness and Plurality, John Benjamins, Amsterdam/Philadelphia, pp. 291-311, 2006.
R. Rodman. Scope Phenomena, ”Movement Transformations,” and Relative Clauses. In: Barbara H. Partee (ed.), Montague Grammar. Academic Press, New York, 165-176, 1976.
M. Rooth. Ellipsis Redundancy and Reduction Redundancy, in: Steve Berman and Arild Hestvik (eds.) Proceedings of the Stuttgart Ellipsis Workshop, Sprachtheoretische Grundlagen für die Computerlinguistik, no. 29, SFB 340, IBM Heidelberg, 1992.
J. R. Ross. Constraints on Variables in Syntax. Diss. MIT. Distr. by IULC. Reprinted as: Infinite Syntax!. Ablex, Norwood NJ, 1986.
E. G. Ruys. The Scope of Indefinites. Diss. Utrecht University. Utrecht: LEd, 1992.
E. G. Ruys. Unexpected Wide-Scope Phenomena. In Martin Everaert & Henk van Riemsdijk (eds), The Blackwell Companion to Syntax; Volume V. p. 175-228. Blackwell, Malden, 2006.
I. Sag. Deletion and Logical Form. PhD. Diss., MIT, Cambridge, Mass, 1976.
R. Scha. Distributive, collective and cumulative quantification. In Groenendijk, J., Stokhof, M., and Janssen, T. M. V., editors, Formal Methods in the Study of Language. Mathematisch Centrum, Amsterdam, 1981.
M. Schäfer. Manner Adverbs and Scope. In: Steube, A. (Hrsg.). Grammatik und Kontext: Zur Interaktion von Syntax, Semantik und Prosodie bei der Informationsstrukturierung. Linguistische Arbeitsberichte 81, Universität Leipzig:33-51, 2004.
B. Schein. Plurals and Events. MIT Press, Cambridge, Massachusetts 1993.
P. Schlenker. Scopal independence: a note on branching and island-escaping readings of indefinites and disjunctions. Journal of Semantics, 23:281-314, 2006.
B. Schwarz. On the syntax of either…or. Natural Language and Linguistic Theory, 17:339-370 1999.
R. Schwarzschild. Singleton indefinites. Journal of Semantics, 19:289-314, 2002.
G. Sher. The Bounds of Logic: a generalized viewpoint. MIT Press, Cambridge, Massachusetts, 1991.
D. Sportiche. Reconstruction, Binding, and Scope. In: M. Everaert & H. van Riemsdijk (eds), The Blackwell Companion to Syntax, Vol. IV, 2006.
W. Sternefeld. Reciprocity and cumulative predication. In Hamm, F. and Hinrichs, E., editors, Plurality and Quantification. Kluwer, Dordrecht, 1997.
A. Szabolcsi, ed. Ways of Scope Taking. Dordrecht, Kluwer, 1997.
G. Vanden Wyngaerd and C. J.-W. Zwart. Reconstruction and vehicle change. In Linguistics in the Netherlands 1991, ed. Frank Drijkoningen and Ans van Kemenade, 151-160. Amsterdam: John Benjamins, 1991.
C. Wilder. Antecedent-Containment and Ellipsis, In The Interfaces: Deriving And Interpreting Omitted Structures, Schwabe, Kerstin, & Winkler, Susanne (Eds), Amsterdam: John Benjamins, 2003, pp 79-119, 2003.
D. Westerstähl. Branching generalized quantifiers and natural language. In Gärdenfors, P., editor, Generalized Quantifiers. D. Reidel, Dordrecht, 1987.
E. Williams. Discourse and Logical Form. Linguistic Inquiry 8-1, 101-139, 1977.
Y. Winter. Choice functions and the scopal semantics of indefinites. Linguistics and Philosophy, 20:399-467. 1997.
Y. Winter. Distributivity and dependency. Natural Language Semantics, 8:27-69, 2000.
Y. Winter. On some scopal asymmetries of coordination. In Proceedings of the KNAW conference on Interface Strategies. 2000.
Y. Winter. Flexibility Principles in Boolean Semantics: coordination, plurality and scope in natural language. MIT Press, Cambridge, Massachusetts 2001.
Y. Winter. Functional quantification. Research on Language and Computation, 2:331-363, 2004.
T. E. Zimmermann. On the proper treatment of opacity in certain verbs. Natural Language Semantics, 1:149-179.
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Ruys, E., Winter, Y. (2011). Quantifier Scope in Formal Linguistics. In: Gabbay, D., Guenthner, F. (eds) Handbook of Philosophical Logic. Handbook of Philosophical Logic, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0479-4_3
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