Skip to main content
SpringerLink
Log in

Ten Years of Research on Plurals — Where Do We Stand?

  • Chapter
Plurality and Quantification

Part of the book series: Studies in Linguistics and Philosophy ((SLAP,volume 69))

Abstract

The ten years mentioned in the title basically refer to the decade of the eighties and the early nineties which witnessed a tremendous amount of research activity on plurals in linguistic semantics and philosophy. This activity grew out of the realization that plurals are all-pervasive in language and hence cannot be regarded as an exotic topic by anyone who wants to give a reasonably complete account of the structure of language.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Allan, Keith (1977): ‘Classifiers’ In Language 53, 285 — 311.

    Google Scholar 

  • Allan, Keith (1980): ‘Nouns and Countability’ In Language 56, 541 — 567.

    Google Scholar 

  • Allgayer, Jürgen and Carola Reddig—Siekmann (1990): ‘What KL—ONE lookalikes need to cope with natural language’ In (Bläsius/Hedtstück/Rollinger 1990 ), 240 285.

    Google Scholar 

  • Altham, J.E.J. (1971): The Logic of Plurality, Methuen, London.

    Google Scholar 

  • Aone, Chinatsu (1991): Treatment of Plurals and Collective—Distributive Ambiguity in Natural Language Understanding. Ph. D. Dissertation, University of Texas at Austin. MCT Technical Report Number ACT—NL-155–91, Austin, Texas.

    Google Scholar 

  • Bach, E. (1986): The Algebra of Events. In Linguistics and Philosophy 9, 5 — 16.

    Google Scholar 

  • Balbes, Raymond and Philip Dwinger (1974): Distributive Lattices. University of Missouri Press, Columbia, Missouri.

    Google Scholar 

  • Bartsch, Renate (1973): The Semantics and Syntax of Number and Numbers. In (Kimball 1973), 51 — 93.

    Google Scholar 

  • Bartsch, Renate, Johan van Benthem and P. van Emde Boas (eds.) (1989): Semantics and Contextual Expression.

    Google Scholar 

  • Barwise, Jon (1987): ‘Noun phrases, generalized quantifiers and anaphora’ In [Gärdenfors 1987], 1 — 29.

    Google Scholar 

  • Barwise, Jon and Robin Cooper (1981): ‘Generalized quantifiers and natural language’ In Linguistics and Philosophy 4, 159–219.

    Google Scholar 

  • Bäuerle, Rainer, Christoph Schwarze and Arnim von Stechow (eds.) (1983): Meaning, Use, and Interpretation of Language. De Gruyter, Berlin.

    Google Scholar 

  • Bealer, George (1975): ‘Predication and matter’ In Synthese 31, 493 — 508; also in (Pelletier 1979), 279 — 294.

    Google Scholar 

  • Bennett, Michael R. (1975): Some Extensions of a Montague Fragment of English. Ph. D. Dissertation UCLA, distributed by the Indiana University Linguistics Club.

    Google Scholar 

  • Bennett, Michael R. (1977): ‘Mass nouns and mass terms in Montague grammar’ In (Davis/Mithun 1979), 263 — 285.

    Google Scholar 

  • Bennett, Michael R. (1972): ‘Accommodating the plural in Montague’s fragment of English’ In [Rodman 19721, 25 — 65.

    Google Scholar 

  • van Benthem, Johan and Alice ter Meulen (ed.) (1984): Generalized Quantifiers in Natural Language, Foris, Dordrecht.

    Google Scholar 

  • van Benthem, Johan and Alice ter Meulen (ed.) (1996): Handbook of Logic and Language. Elsevier, Amsterdam.

    Google Scholar 

  • Biermann, Anna (1981): ‘Die grammatische Kategorie Numerus’ In (Seiler/Lehmann 1982), 229 — 243.

    Google Scholar 

  • Bläsius, Karl H., Ulrich Hedtstück and Claus R. Rollinger (eds.) (1990): Sorts and Types in Artificial Intelligence. Springer Lecture Notes in Artificial Intelligence 418, Berlin.

    Google Scholar 

  • Blau, Ulrich (1978): Die dreiwertige Logik der Sprache. Ihre Syntax, Semantik und Anwendung in der Sprachanalyse. de Gruyter, Berlin.

    Google Scholar 

  • Blau, Ulrich (1981): ‘Collective Objects’ In Theoretical Linguistics 8, 101–130.

    Google Scholar 

  • Boolos, George (1984): ‘To be is to be a value of a variable (or to be some values of some variables’ In Journal of Philosophy 81, 430 — 449.

    Google Scholar 

  • Boolos, George (1984): ‘Nonfirstorderizability again’ In Linguistic Inquiry 15, 343. Boolos, George (1985): ‘Nominalist platonism’, Philosophical Review 94, 327 — 344.

    Google Scholar 

  • Brady, M. and R. Berwick (eds.) (1984): Computational Models of Discourse. M.I.T. Press, Cambridge, Massachusetts.

    Google Scholar 

  • Bunt, Harry (1979): ‘Ensembles and the formal semantic properties of mass terms’ In (Pelletier 1979 ), 279–294.

    Google Scholar 

  • Bunt, Harry (1981): The Formal Semantics of Mass Terms. Doctoral Dissertation, University of Amsterdam.

    Google Scholar 

  • Bunt, Harry (1985): Mass Terms and Model-Theoretic Semantics. Cambridge University Press, Cambridge.

    Google Scholar 

  • Bunt, Harry (1985): ‘The formal representation of (quasi-)continuous concepts’ In (Moore/Hobbs 1985 ), 37–70.

    Google Scholar 

  • Burge, Tyler (1972): ‘Truth and mass terms’ In Journal of Philosophy 69, 263–282.

    Google Scholar 

  • Burge, Tyler (1975): ‘Mass terms, count terms, and change’ In Synthese 31, 459–478; also in (Pelletier 1979 ), 199–218.

    Google Scholar 

  • Burge, Tyler (1977): ‘A theory of aggregates’ In Noms 11, 97–117.

    Google Scholar 

  • Carlson, Greg and Francis J. Pelletier (eds.) (1995): The Generic Book. Chicago University Press.

    Google Scholar 

  • Carlson, Lauri (1980): Plural Quantification. ms., MIT, Cambridge, MA.

    Google Scholar 

  • Carlson, Lauri (1982): ‘Plural quantifiers and informational independence’ In Acta Philosophica Fennica 35, 163–174.

    Google Scholar 

  • Cartwright, Helen M. (1963): Classes, Quantities and Non-singular Reference. Ph. D. Dissertation, University of Michigan.

    Google Scholar 

  • Cartwright, Helen M. (1970): ‘Quantities’ In Philosophical Analysis 79, 25–42.

    Google Scholar 

  • Cartwright, Helen M. (1979): ‘Some remarks about mass nouns and plurality’, In (Pelletier 1979 ), 31–46.

    Google Scholar 

  • Chellas, Brian (1975): ‘Quantity and quantification’ In Synthese 31, 487–491; also in (Pelletier 1979 ), 227–231.

    Google Scholar 

  • Choe, Jae Woong (1987): Anti-Quantifiers and a Theory of Distributivity. Ph. D. Dissertation, University of Massachusetts, Amherst.

    Google Scholar 

  • Choe, Jae Woong (1987): ‘A theory of distributivity’ In (Groenendijk/Stokhof/Veltman 1987 ), 21–41.

    Google Scholar 

  • Clarke, Bowman L. (1981): ‘A calculus of individuals based on ‘connection” In Notre Dame Journal of Formal Logic 22, 204–218.

    Google Scholar 

  • Clarke, D. S. Jr. (1970): ‘Mass terms as subjects’ In Philosophical Studies 21, 25–29.

    Google Scholar 

  • Clay, Robert E. (1974): ‘Relation of Lesniewski’s mereology to Boolean algebra’ In Journal of Symbolic Logic 39, 638–348.

    Google Scholar 

  • Cook, Cathleen (1975): ‘On the usefulness of quantities’ In Synthese 31, 443–457; also in (Pelletier 1979 ), 121–135.

    Google Scholar 

  • Cresswell, Max (1985): ‘Review of Landman and Veltman (eds.), Varieties of Formal Semantics’ In Linguistics 23.

    Google Scholar 

  • Davey, B. A. and H. A. Priestley (1990): Introduction to Lattices and Order. Cambridge University Press, Cambridge.

    Google Scholar 

  • Davies, Martin (1989): ‘Two Examiners Marked Six Scripts. Interpretations of nu- merically quantifies sentences’ In Linguistics and Philosophy 12, 293 — 323.

    Google Scholar 

  • Davis, Steven and Marianne Mithun (eds.) (1979): Linguistics, Philosophy, and Montague Grammar. University of Texas Press, Austin, Texas.

    Google Scholar 

  • van der Does, Jaap (1991): ‘Among Collections’ In [van der Does 1991a], 1 — 35.

    Google Scholar 

  • van der Does, Jaap (ed.) (1991a): Quantification and Anaphora II. DYANA deliverable 2.2.b, Edinburgh.

    Google Scholar 

  • van der Does, Jaap (1992): Applied Quantifier Logics. Collectives. Naked Infinitives. Doctoral Dissertation, University of Amsterdam.

    Google Scholar 

  • van der Does, Jaap (1993): ‘Sums and quantifiers’ In Linguistics and Philosophy 16, 509 — 550.

    Google Scholar 

  • van der Does, Jaap: (1994): ‘On complex plural noun phrases’ In [Kanazawa/Pian 1994], 81 — 115.

    Google Scholar 

  • van der Does and van Eijck (eds.) (1996): Quantifiers, Logic, and Language. Lecture Notes, Vol. 54. Stanford, California: CSLI Publications. Distributed by Cambridge University Press.

    Google Scholar 

  • Dougherty, Ray C. (1970): ‘A grammar of coordinate conjoined structures: I’ In Language 46, 850 — 898.

    Google Scholar 

  • Dougherty, Ray C. (1971): ‘A grammar of coordinate conjoined structures: II’ In Language 47, 298 — 339.

    Google Scholar 

  • Dowty, David (1986): ‘A Note on collective predicates, distributive predicates and All’ In Proceedings of the Third Eastern States Conference on Linguistics (ES-COL 86),Ohio State University, 97 — 115.

    Google Scholar 

  • Eberle, Rolf A. (1970): Nominalistic Systems. Reidel, Dordrecht.

    Book  Google Scholar 

  • van Eijck, Jan (1983): ‘Discourse representation theory and plurality’ In (ter Meulen 1983 ).

    Google Scholar 

  • Erné, Marcel (1982): Einführung in die Ordnungstheorie. Bibliographisches Institut, Mannheim.

    Google Scholar 

  • Gabbay, Dov and Julius M. E. Moravcsik (1973): ‘Sameness and Individuation’ In Journal of Philosophy 70; also in (Pelletier 1979), 233 — 247.

    Google Scholar 

  • Gabbay, Dov M. and Franz Guenthner (1989): Handbook of Philosophical Logic. Volume IV: Topics in the Philosophy of Language. Reidel, Dordrecht.

    Book  Google Scholar 

  • Gärdenfors, Peter (ed.) (1987): Generalized Quantifiers. Linguistic and Logical Approaches. Reidel, Dordrecht.

    Google Scholar 

  • Gierz, Gerhard et al. (1980): A Compendium of Continuous Lattices. Springer, Berlin-Heidelberg-New York.

    Book  Google Scholar 

  • Gil, David (1982): Distributive Numerals. Ph. D. Dissertation, UCLA, Los Angeles.

    Google Scholar 

  • Gil, David (1982): ‘Quantifier scope, linguistic variation, and natural language semantics’ In Linguistics and Philosophy 5, 421 — 472.

    Google Scholar 

  • Gil, David (1988): ‘Georgian reduplication and the domain of distributivity’ In Linguistics 26, 1039 — 1065.

    Google Scholar 

  • Gillon, Brendan S. (1987): ‘The Readings of Plural Noun Phrases in English’ In Linguistics and Philosophy 10, 199 — 219.

    Google Scholar 

  • Gillon, Brendon S. (1990): ‘Plural noun phrases and their readings: A reply to Lasersohn’ In Linguistics and Philosophy 13, 477 — 485.

    Google Scholar 

  • Grätzer, George (1978): General Lattice Theory. Birkhauser, Basel.

    Book  Google Scholar 

  • Grandy, Richard E. (1975): ‘Stuff and things’ In Synthese 31, 479 — 485; also in (Pelletier 1979), 219 — 225.

    Google Scholar 

  • Groenendijk, Jeroen, Theo M. V. Janssen, and Martin Stokhof (eds.) (1981): Formal Methods in the Study of Language. Mathematical Centre, Amsterdam.

    Google Scholar 

  • Groenendijk, Jeroen, Martin Stokhof, and Frank Veltman (eds.) (1987): Proceedings of the Sixth Amsterdam Colloquium. ITLI, Amsterdam.

    Google Scholar 

  • Guarino, Nicola and Roberto Poli (eds.) (1996): ‘Special Issue on Formal Ontology in Conceptual Analysis and Knowledge Representation’. In International Journal of Human and Machine Studies. Academic Press.

    Google Scholar 

  • Gupta, Anil (1980): The Logic of Common Nouns: An Investigation in Quantified Modal Logic. Yale University Press, New Haven.

    Google Scholar 

  • Halmos, Paul R. (1963): Lectures on Boolean Algebras. Van Nostrand, New York.

    Google Scholar 

  • Hausser, Roland (1974): ‘Syntax and semantics of plural’ In Proceedings of the 10th Regional Meeting of the Chicago Linguistic Society, 234 — 247.

    Google Scholar 

  • Heim, Irene, Howard Lasnik and Robert May (1991): ‘Reciprocity and Plurality’ In Linguistic Inquiry 22.1, 63 — 101.

    Google Scholar 

  • Hendry, H.E. (1982): ‘Complete Extensions of the Calculus of Individuals’ In Nails 16, 453 — 460.

    Google Scholar 

  • Herzog, Otthein and Claus Rollinger (eds.) (1991): Text Understanding in LILOG: Integrating Computational Linguistics and Artificial Intelligence. Springer, Berlin — Heidelberg — New York.

    Google Scholar 

  • Higginbotham, J. (1980): ‘Reciprocal Interpretation’ In Journal of Linguistic Research 1, 97 — 117.

    Google Scholar 

  • Hinrichs, E. (1985): A Compositional Semantics for Aktionsarten and NP Reference in English. Ph. D. Dissertation Ohio State University.

    Google Scholar 

  • Hintikka, Jaakko, Julius M. E. Moravcsik and Patrick Suppes (eds.) (1973): Approaches to Natural Language. Reidel, Dordrecht.

    Google Scholar 

  • Hoeksema, Jack (1983): ‘Plurality and Conjunction’ In (ter Meulen 1983), 63 — 84.

    Google Scholar 

  • Hoeksema, Jack (1988): ‘The semantics of non—Boolean ‘and“ In Journal of Semantics 6, 19 — 40.

    Google Scholar 

  • Kadmon, Nirit (1987): On Unique and Non—Unique Reference and Asymmetric Quantification. Ph. D. Dissertation, University of Massachusetts, Amherst.

    Google Scholar 

  • Kadmon, Nirit (1989): ‘Uniqueness’ In Linguistics and Philosophy 31, 273 — 324.

    Google Scholar 

  • Kamp, Hans and Uwe Reyle (1993): From Discourse to Logic. An Introduction to Modeltheoretic Semantics of Natural Language, Formal Logic, and Discourse Representation Theory. Kluwer, Dordrecht.

    Google Scholar 

  • Kanazawa, Makoto and Christopher J. Piíi6n (eds.) (1994): Dynamics, Polarity and Quantification. CSLI Lecture Notes No. 48, CSLI Publications, Stanford.

    Google Scholar 

  • Keenan, Edward (1981): ‘A Boolean approach to semantics’ In (Groenendijk/Janssen/Stokhof 1981 ).

    Google Scholar 

  • Keenan, Edward and Leonard Faltz (1985): Boolean Semantics for Natural Language. Reidel, Dordrecht.

    Google Scholar 

  • Keenan, Edward and Yonathan Stavi (1986): ‘A semantic characterization of natural language determiners’ In Linguistics and Philosophy 9, 253 — 326.

    Google Scholar 

  • Kimball, John P. (ed.) (1973): Syntax and Semantics. Vol. 2. Academic Press, New York.

    Google Scholar 

  • Krifka, Manfred (1987): ‘Nominal reference and temporal constitution: Towards a semantics of quantity’ In [Groenendijk/Stokhof/Veltman 1987], 153 — 173.

    Google Scholar 

  • Krifka, Manfred (1989): Nominalreferenz und Zeitkonstitution. Zur Semantik von Massentermen, Pluraltermen und Aspektklassen. Fink, München.

    Google Scholar 

  • Krifka, Manfred (1989): ‘Nominal reference and temporal constitution: Towards a semantics of quantity’ In (Bartsch et al. 1989), 75 —115.

    Google Scholar 

  • Krifka, Manfred (1991): ‘Four thousand ships passed through the lock: Object—induced measure functions on events’ In Linguistics and Philosophy 13, 487 —520.

    Google Scholar 

  • Krifka, Manfred (1991): ‘Massenausdrücke.’ In [von Stechow/Wunderlich 1991 ].

    Google Scholar 

  • Krifka, Manfred (1991): ‘How to get rid of groups, using DRT’ In Texas Linguistics Forum 32, 71 — 110.

    Google Scholar 

  • Krifka, Manfred (1996): ‘Parametrized sum individuals for plural anaphora’ In Linguistics and Philosophy 19.

    Google Scholar 

  • Landman, Fred (1987): ‘Groups, Plural, Individuals and Intensionality’ In (Groenendijk/Stokhof/Veltman 1987), 197 — 217.

    Google Scholar 

  • Landman, Fred (1989): ‘Groups’, Part I, II. In Linguistics and Philosophy 12, 559 — 605; 723 — 744.

    Google Scholar 

  • Landman, Fred (1991): Structures for Semantics. Kluwer Academic Publishers, Dordrecht.

    Book  Google Scholar 

  • Landman, Fred and Frank Veltman (1984): Varieties of Formal Semantics. Proceedings of the Fourth Amsterdam Colloquium. GRASS Series No. 3, Foris, Dordrecht.

    Google Scholar 

  • Langendoen, Terence D. (1978): ‘The Logic of Reciprocity’ In Linguistic Inquiry 9, 177 — 197.

    Google Scholar 

  • Lasersohn, Peter N. (1988): A Semantics for Groups and Events. Ph. D. Dissertation, Ohio State University, Columbus.

    Google Scholar 

  • Lasersohn, Peter N. (1989): ‘On the Readings of Plural Noun Phrases’ In Linguistic Inquiry 20, 130 — 134.

    Google Scholar 

  • Lasersohn, Peter N. (1990): ‘Group action and spatio-temporal proximity’ In Linguistics and Philosophy 13, 179–206.

    Google Scholar 

  • Laycock, Henry (1972): ‘Some questions of ontology’ In Philosophical Review 81, 3–42.

    Google Scholar 

  • Laycock, Henry (1975): ‘Theories of Matter’ In Synthese 31, 411–442; also in (Pelletier 1979 ), 89–120.

    Google Scholar 

  • Lejewski, Czeslaw (1958): ‘On Ledniewski’s ontology’ In Ratio 1, 150–176.

    Google Scholar 

  • Lejewski, Czeslaw (1960/61): ‘Studies in the axiomatic foundations of Boolean algebra’ In Notre Dame Journal of Formal Logic 1 (1960), 23–47, 91–106; 2 (1961), 79–93.

    Google Scholar 

  • Link, Godehard (1993): ‘Ten Years of Research on Plurals. Where do we stand?’ Ms., University of Munich. Also in: [Link 1996], chap. 11.

    Google Scholar 

  • Leonard, Henry and Nelson Goodman (1940): ‘The calculus of individuals and its uses’ In Journal of Symbolic Logic 5, 45–55.

    Google Scholar 

  • Le§niewski, Stanislaw (1927–31): ‘O podstawack matematyki’ In Prezeglad Filosoficzny 30 (1927), 164–206; 31 (1928), 261–291; 32 (1929), 60–101; 33 (1930), 77–105; 34 (1931), 142–170.

    Google Scholar 

  • Lewis, David (1991): Parts of Classes. With an appendix by John P. Burgess, A. P. Hazen, and David Lewis. Basil Blackwell.

    Google Scholar 

  • Lewis, David (1993): ‘Mathematics is Megethology’ In Philosophia Mathematica 3, 3–23.

    Google Scholar 

  • Link, Godehard: 1983, ‘The logical analysis of plurals and mass terms: A lattice-theoretical approach’, in [Bäuerle/Schwarze/von Stechow 1983], 302–323. Reprinted in [Link 1996], chap. 1.

    Google Scholar 

  • Link, Godehard: 1984, ‘Hydras: On the logic of relative constructions with multiple heads’, in (Landman/Veltman 1984), 245–257. Reprinted in: [Link 1996], chap. 3.

    Google Scholar 

  • Link, G. (1987): ‘Generalized Quantifiers and Plurals’ In P. Gärdenfors (ed.) Gen- eralized Quantifiers, Linguistic and Logic Approaches. D. Reidel, Dordrecht.

    Google Scholar 

  • Link, Godehard (1987): ’Je drei Apfel - three apples each. Quantification and the German je’,ms., Stanford In [Link 1996], chap. 5.

    Google Scholar 

  • Link, Godehard (1987): ‘Algebraic semantics of event structures’ In [Groenen- dijk/Stokhof/Veltman 1987], 243–262. Reprinted in [Link 1996], chap. 7.

    Google Scholar 

  • Link, Godehard (1991): ‘Plural’ In [von Stechow/Wunderlich 1991], 418–440. English translation in [Link 1996], chap. 2.

    Google Scholar 

  • Link, Godehard (1991): ‘Quantity and number’ In [Zaefferer 1991]. Also in [Link 1996], chap. 9.

    Google Scholar 

  • Link, Godehard (1991): ‘First order axioms for the logic of plurality’ Ms., University of Munich. In [Link 1996], chap. 10.

    Google Scholar 

  • Link, Godehard (1993): ‘Algebraic Semantics for Natural Language: Some Philosophy, some Applications’ In [Guarino/Poli 1996]. Reprinted in: [Link 1996], chap. 12.

    Google Scholar 

  • Link, Godehard (1996): Algebraic Semantics in Language and Philosophy. CSLI Lecture Notes, CSLI Publications, Stanford.

    Google Scholar 

  • Link, Godehard and Hinrich Schütze (1991): ‘The Treatment of Plurality in LLILOG’ In [Herzog/ Rollinger 1991 ].

    Google Scholar 

  • Löbner, Sebastian (1985): ‘Definites’ In Journal of Semantics 4, 279 — 326.

    Google Scholar 

  • Löbner, Sebastian (1987): ‘Natural language and generalized quantifier theory’ In [Gärdenfors 1987], 181 — 201.

    Google Scholar 

  • Lonning, Jan Tore (1987): ‘Mass terms and quantification’ In Linguistics and Philosophy 10, 1 — 52.

    Google Scholar 

  • Lonning, Jan Tore (1987): ‘Collective readings of definite and indefinite noun phrases’ In [Gärdenfors 1987], 203 — 235.

    Google Scholar 

  • Lonning, J. T. (1989): Some Aspects of the Logic of Plural Noun Phrases. COSMOS—Report No. 11, Department of Mathematics, University of Oslo.

    Google Scholar 

  • Lpnning, J. T. (1991): ‘Among Readings. Some Comments on “Among Collections” ’ In: [van der Does 1991a], 37 — 91.

    Google Scholar 

  • Lonning, J. T. (1996): ‘Plurals and collectivity’ In [van Benthem/ ter Meulen 1996]. Lorimer, D. L. R. (1915): Pashtu, Part I.

    Google Scholar 

  • Luschei, E. C. (1962): The Logical Systems of Lemniewski. North Holland, Amsterdam.

    Google Scholar 

  • Martin, R. M. (1943): ‘A homogeneous system for formal logic’ In Journal of Symbolic Logic 8, 1 — 23.

    Google Scholar 

  • Martin, R. M. (1978): Events, Reference and Logical Form. Catholic University of America Press, Washington, D. C.

    Google Scholar 

  • Massey, G. (1976): ‘Tom, Dick and Harry, and all the King’s men’ In American Philosophical Quarter/y13, 89 — 107.

    Google Scholar 

  • Moltmann, Friederike (1996): Parts and Wholes in Semantics. Oxford University Press, Oxford.

    Google Scholar 

  • Montague, Richard (1973): ‘Reply to Moravcsik’ In [Hintikka/Moravcsik/Suppes 1973], 289 — 294; reprinted as ‘The proper treatment of mass terms in English’ In [Pelletier 1979], 173 — 178.

    Google Scholar 

  • Moore, R. and G. Hobbs (eds.) (1985): Formal Theories of the Common Sense World.

    Google Scholar 

  • Moravcsik, Julius M. E. (1973): ‘Mass terms in English’ In [Hin-tikka/Moravcsik/Suppes 1973], 263 — 285.

    Google Scholar 

  • Ojeda, A. E. (1993): Linguistic Individuals. CSLI Lecture Notes No. 31. CSLI Publications, Stanford.

    Google Scholar 

  • Orey, S. (1959): ‘Model theory for higher order predicate calculus’ In Transactions from the American Mathematical Society 92, 72 — 84.

    Google Scholar 

  • Parsons, Terence (1970): ‘An analysis of mass terms and amount terms’ In Foundations of Language6, 362 — 388; also in [Pelletier 1979], 137 — 166.

    Google Scholar 

  • Parsons, Terence (1975): ‘Afterthoughts on mass terms’ In Synthese 31, 517 521; also in [Pelletier 1979], 167 — 171.

    Google Scholar 

  • Partee, Barbara (1987): ‘Noun phrase interpretation and type shifting principles’ In [Groenendijk/Janssen/Stokhof 1981], 115 — 143.

    Google Scholar 

  • Partee, Barbara and Mats Rooth (1983): ‘Generalized conjunction and type ambiguity’ In [Bäuerle/Schwarze/von Stechow 1983], 361 — 383.

    Google Scholar 

  • Pelletier, Francis J. (1975): ‘Non—singular reference: some preliminaries’ In Philosophia 5; also in [Pelletier 1979], 1 — 14.

    Google Scholar 

  • Pelletier, Francis J. (ed.) (1979): Mass Terms: Some Philosophical Problems. Reidel, Dordrecht.

    Google Scholar 

  • Pelletier, Francis J. (1979): ‘A bibliography of recent work on mass terms’ In [Pelletier 1979], 295 — 298.

    Google Scholar 

  • Pelletier, Francis J. and Lenhart K. Schubert (1989): ‘Mass expressions’ In [Gabbay/ Guenthner 1989], 327 — 407.

    Google Scholar 

  • Pollard, Stephen (1986): ‘Plural quantification and the iterative conception of set’ In Philosophy Research Archives 11, 579 — 587.

    Google Scholar 

  • Quine, Willard van Orman (1960): Word and Object., M. I. T. Press, Cambridge, Massachusetts.

    Google Scholar 

  • Quine, Willard van Orman (1972): Methods of Logic., 3rd edition, Holt, Rinehart and Winston, New York.

    Google Scholar 

  • Rescher, Nicholas (1962): ‘Plurality quantification’ In Journal of Symbolic Logic 38, 373 — 374.

    Google Scholar 

  • Resnik, Michael D. (1988): ‘Second—order logic still wild’ In Journal of Philosophy 85, 75 — 87.

    Google Scholar 

  • Roberts, Craige (1987): Modal Subordination, Anaphora, and Distributivity. Ph. D. Dissertation, University of Massachusetts at Amherst.

    Google Scholar 

  • Roberts, Craige (1987): ‘Distributivity’ In [Groenendijk/Stokhof/Veltman 1987], 291 — 309.

    Google Scholar 

  • Rodman, R. (ed.) (1972): Montague Grammar. ms., UCLA.

    Google Scholar 

  • Roeper, Peter (1983): ‘Semantics for mass terms with quantifiers’ In Noils 17, 251 —265.

    Google Scholar 

  • Roeper, Peter (1985): ‘Generalization of first—order logic to non—atomic domains’ In Journal of Symbolic Logic 50, 815 — 838.

    Google Scholar 

  • Rooth, Mats (1987): ‘Noun phrase interpretation in Montague Grammar, File Change Semantics, and Situation Semantics’ In: [Gärdenfors 1987], 237 — 268.

    Google Scholar 

  • Russell, Bertrand (1903): The Principles of Mathematics. Second edition 1937, George Allen and Unwin, London.

    Google Scholar 

  • Scha, Remko (1981): ‘Distributive, Collective and Cumulative Quantification’ In [Groenendijk/Janssen/Stokhof 1981], 483 — 512.

    Google Scholar 

  • Scha, Remko and Stallard, D. (1988): ‘Multi—Level Plurals and Distributivity’ In Proceedings of the ACL meeting, June 1988, 17 — 24.

    Google Scholar 

  • Schein, Barry (1993): Plurals and Events. MIT Press, Cambridge, Massachusetts.

    Google Scholar 

  • Schütze, Hinrich (1989): Pluralbehandlung in natürlichsprachlichen Wissensverarbeitungssystemen. Diplomarbeit, Institut für Informatik, University of Stuttgart.

    Google Scholar 

  • Schwarzschild, Roger (1990): ‘Against groups’, in: [Stokhof/Torenvliet 1990], 475 —493.

    Google Scholar 

  • Schwarzschild, Roger (1991): On the Meaning of Definite Plural Noun Phrases. Ph.D. Dissertation, University of Massachusetts, Amherst.

    Google Scholar 

  • Schwarzschild, Roger (1992): ‘Types of plural individuals’ In Linguistics and Philosophy 15, 641 — 675.

    Google Scholar 

  • Seiler, Hansjakob and Christian Lehmann (eds.) (1982): Apprehension. Das sprachliche Erfassen von Gegenständen. Narr, Tübingen.

    Google Scholar 

  • Shapiro Stewart (1991): Foundations without Foundationalism. A Case for Second—order Logic. Clarendon Press, Oxford.

    Google Scholar 

  • Sharvy, Richard (1978): ‘Maybe English has no count nouns: Notes on Chinese Semantics. An Essay in Metaphysics and Linguistics’ In Studies in Language 2, 345 — 365.

    Google Scholar 

  • Sharvy, Richard (1979): ‘The indeterminacy of mass predication’, in [Pelletier 1979], 47 — 54.

    Google Scholar 

  • Sharvy, Richard (1980): ‘A more general theory of definite desciptions’ In Philosophical Review 89, 607 — 624.

    Google Scholar 

  • Sharvy, Richard (1983): ‘Mixtures’ In Journal of Philosophy 80, 227 — 239. Sikorski, Roman (1969): Boolean Algebras. 3rd edition. Springer, Berlin.

    Google Scholar 

  • Simons, Peter M. (1982): ‘Plural reference and set theory’ In [Smith 1982], 199 — 256.

    Google Scholar 

  • Simons, Peter M. (1983): ‘Class, mass and mereology’ In History and Philosophy of Logic 4, 157 — 180.

    Google Scholar 

  • Simons, Peter M. (1987): Parts. A Study in Ontology. Clarendon Press, Oxford.

    Google Scholar 

  • Smith, Barry (ed.) (1982): Parts and Moments. Studies in Logic and Formal Ontology. München.

    Google Scholar 

  • Smith—Stark, Cedric (1974): ‘The plurality split’ In Chicago Linguistics Society Papers 10, 657 — 671.

    Google Scholar 

  • von Stechow, Arnim (1980): ‘Modification of noun phrases. A challenge for compositional semantics’ In Theoretical Linguistics 7, 57 — 110.

    Google Scholar 

  • von Stechow, Arnim and Dieter Wunderlich (eds.) (1991): Semantik/Semantics. Ein internationales Handbuch der zeitgenössischen Forschung/An International Handbook of Contemporary Research. de Gruyter, Berlin — New York.

    Google Scholar 

  • Stokhof, Martin and L. Torenvliet (eds.) (1990): Proceedings of the Seventh Amsterdam Colloquium. ITLI, Amsterdam.

    Google Scholar 

  • ter Meulen, Alice (1980): Substance, Quantities and Individuals: A Study in the Formal Semantics of Mass Terms. Ph. D. Dissertation, Stanford. Indiana University Linguistics Club, Bloomington.

    Google Scholar 

  • ter Meulen, Alice (1981): ‘An intensional logic for mass terms’ In Philosophical Studies 40, 105–125.

    Google Scholar 

  • ter Meulen, Alice (ed.) (1983): Studies in Model-Theoretic Semantics, Foris, Dordrecht.

    Google Scholar 

  • ter Meulen, Alice (1984): ‘Events, quantities and individuals’ In [van Benthem/ter Meulen 1984 ], 259–279.

    Google Scholar 

  • Verkuyl, Henk J. (1981): ‘Numerals and quantifiers in Xbar-Syntax and their semantic interpretation’ In [Groenendijk/Janssen/Stokhof 1981 ], 567–599.

    Google Scholar 

  • Verkuyl, Henk J. (1991): NP Structure. OTS Prepublication Series, Rijksuniversiteit Utrecht.

    Google Scholar 

  • Verkuyl, Henk J. (1994): ‘Distributivity and collectivity: a couple at odds’ In [Kanazawa/Piíión 1994 ], 49–80.

    Google Scholar 

  • Verkuyl, Henk J. and van der Does, J. M. (1996): ‘The semantics of plural noun phrases’ In [van der Does/van Eijck 1996 ].

    Google Scholar 

  • Wald, Jan David (1977): Stuff and Words: A Semantic and Linguistic Analysis of Non-Singular Reference. Ph. D. Dissertation, Brandeis University.

    Google Scholar 

  • Ware, Robert (1975): ‘Some bits and pieces’ In Synthese 31, 15–29.

    Google Scholar 

  • Webber, Bonnie (1984): ‘So what can we talk about now?’ In [Brady/Berwick 1984 ], 331–371.

    Google Scholar 

  • Westersthhl, Dag (1989): ‘Quantifiers in formal and natural language’ In [Gabbay/ Guenthner 1989 ], 1–131.

    Google Scholar 

  • Zaefferer, Dietmar (ed.) (1991): Semantic Universals and Universal Semantics. GRASS Series No 12, Foris, Dordrecht.

    Google Scholar 

  • Zaefferer, Dietmar (1992): ‘And and or: meet and/or join? A problem in the semantics of (non-)propositional connectives’ Paper read at the International Congress of Linguistics, Montreal, August 1992.

    Google Scholar 

  • Zemach, Eddy (1970): ‘Four ontologies’ In Journal of Philosophy 62, 213–247.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

  1. University of Tübingen, Germany

    Fritz Hamm  & Erhard Hinrichs  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Link, G. (1998). Ten Years of Research on Plurals — Where Do We Stand?. In: Hamm, F., Hinrichs, E. (eds) Plurality and Quantification. Studies in Linguistics and Philosophy, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2706-8_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-2706-8_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4943-8

  • Online ISBN: 978-94-017-2706-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation