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The scope of the problems with the problem of scope

  • Patrick Duffley ORCID logo EMAIL logo
Published/Copyright: August 25, 2023
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Abstract

This study argues that many of the formalizations used in analyses employing the notion of logical scope fail to conform to natural language in important ways and lead to false predictions. This is due to the fact that they pursue the logic-driven goal of making the structure of logical arguments more transparent and mechanically calculable rather than the language-driven goal of accounting for how the linguistic signs used in an utterance and their configuration contribute to the conveying of the message being fashioned by the speaker. The focus of the study is on categories associated with the verb: tense, aspect, modality and negation. The conclusion suggests that very precise and rigid theories using logical scope relations may force the theorist to straitjacket the data so that they fit the theory, thereby obscuring rather than clarifying the nature of linguistic categories and their interactions. Informal analyses that hew closer to natural language’s semantic reality can provide greater understanding of phenomena such as the purported non-negatability of must. Seeing this English modal’s meaning as defined in opposition to real existence leads to the realization that it does not interact with negation the same way as the reality of the existence of the property of being necessary does.


Corresponding author: Patrick Duffley, Département de langues, linguistique et traduction, Université Laval, 1030, ave des Sciences-Humaines, G1V 0A6 Québec, QC, Canada, E-mail:

References

Abusch, Dorit. 1997. Sequence of tense and temporal de re. Linguistics and Philosophy 20(1). 1–50. https://doi.org/10.1023/a:1005331423820.10.1023/A:1005331423820Search in Google Scholar

Bolinger, Dwight. 1989. Extrinsic possibility and intrinsic potentiality: 7 on may and can +1. Journal of Pragmatics 13(1). 1–23. https://doi.org/10.1016/0378-2166(89)90107-0.Search in Google Scholar

Bonomi, Andrea. 1997. Aspect, quantification and when-clauses in Italian. Linguistics and Philosophy 20(5). 469–514. https://doi.org/10.1023/a:1005388230492.10.1023/A:1005388230492Search in Google Scholar

Chierchia, Gennaro & Sally McConnell-Ginet. 1990. Meaning and grammar. An introduction to semantics. Cambridge, MA: MIT Press.Search in Google Scholar

Condoravdi, Cleo. 2002. Temporal interpretation of modals: Modals for the present and for the past. In David Beaver, Luis D. Casillas Martinez, Brady Z. Clark & Stefan Kaufmann (eds.), The construction of meaning, 59–87. Stanford: CSLI Publications.Search in Google Scholar

Cover, Rebecca. 2010. Aspect, modality, and tense in Badiaranke. Berkeley, CA: University of California at Berkeley dissertation.Search in Google Scholar

Cruse, Alan. 2011. Meaning in language: An introduction to semantics and pragmatics. Oxford: Oxford University Press.Search in Google Scholar

De Haan, Ferdinand. 2015. The interaction of modality and negation. London: Routledge.Search in Google Scholar

Drubig, Hans. 2001. On the syntactic form of epistemic modality. Unpublished manuscript. http://www.lingexp.uni-tuebingen.de/sfb441/b2/papers/DrubigModality.pdf (accessed 3 August 2023).Search in Google Scholar

Duffley, Patrick J. 1994. Need and dare, the black sheep of the modal family. Lingua 94(4). 213–243. https://doi.org/10.1016/0024-3841(94)90010-8.Search in Google Scholar

Duffley, Patrick J. 1997. Negation and the lexical semantics of the modal auxiliaries must and may in English. In Pierre Larrivée (ed.), La structuration conceptuelle du langage, 69–82. Louvain: Peeters.Search in Google Scholar

Duffley, Patrick J. & Pierre Larrivée. 1998. Need, dare and negative polarity. Linguistic Analysis 28(1). 1–19.Search in Google Scholar

Duffley, Patrick J., Sandra Clarke & Walter Hirtle. 1982. MAY, CAN and the expression of permission. Canadian Journal of Linguistics 26(2). 179–193. https://doi.org/10.1017/s0008413100009774.Search in Google Scholar

Duffley, Patrick. 2016. The role of DO-auxiliary in subject-auxiliary inversion: Developing Langacker’s notion of existential negotiation. Cognitive Linguistics 27(2). 269–287. https://doi.org/10.1515/cog-2015-0125.Search in Google Scholar

Enç, Murvet. 1987. Anchoring conditions for tense. Linguistic Inquiry 18(4). 633–657.Search in Google Scholar

Fernando, Tim. 2015. The semantics of tense and aspect. In Shalom Lappin & Chris Fox (eds.), The handbook of contemporary semantic theory, 2nd edn., 203–236. London: Wiley-Blackwell.10.1002/9781118882139.ch7Search in Google Scholar

Fodor, Jerry A. 1998. Concepts: Where cognitive science went wrong. Oxford: Clarendon Press.10.1093/0198236360.001.0001Search in Google Scholar

Fuchs, Catherine. 1994. Paraphrase et énonciation. Paris: Ophrys.Search in Google Scholar

Hacquard, Valentine. 2006. Aspects of modality. Cambridge, MA: MIT dissertation.Search in Google Scholar

Hacquard, Valentine. 2009. On the interaction of aspect and modal auxiliaries. Linguistics and Philosophy 32(3). 279–315. https://doi.org/10.1007/s10988-009-9061-6.Search in Google Scholar

Hacquard, Valentine. 2020. Actuality entailments. In Daniel Gutzmann, Lisa Matthewson, Cécile Meier, Hotze Rullmann & Thomas Ede Zimmermann (eds.), The Wiley Blackwell companion to semantics, 1–26. New York: Wiley Blackwell.10.1002/9781118788516.sem052Search in Google Scholar

Higginbotham, James. 2002. Why is sequence of tense obligatory? In Gerhard Preyer & Georg Peter (eds.), Logical form and language, 207–227. Oxford: Oxford University Press.10.1093/oso/9780199244607.003.0008Search in Google Scholar

Hirtle, Walter. 1997. DO auxiliary – a meaningful support and operator. Lingua 100(1). 111–149. https://doi.org/10.1016/s0024-3841(96)00040-x.Search in Google Scholar

Hirtle, Walter H. 2007. Lessons on the English verb. Montreal: McGill-Queen’s University Press.10.1515/9780773560277Search in Google Scholar

Horn, Laurence R. 1989. A natural history of negation, 1st edn. Chicago: University of Chicago Press.Search in Google Scholar

Iacona, Andrea. 2018. Logical form: Between logic and natural language. Cham: Springer.10.1007/978-3-319-74154-3Search in Google Scholar

Israel, Michael. 2011. The grammar of polarity: Pragmatics, sensitivity, and the logic of scales. Cambridge: Cambridge University Press.10.1017/CBO9780511975288Search in Google Scholar

Jacobsson, Bengt. 1979. Modality and the modals of necessity must and have to. English Studies 60(3). 296–312. https://doi.org/10.1080/00138387908597972.Search in Google Scholar

Kaplan, David. 1989. Demonstratives. In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes from Kaplan, 481–563. New York: Oxford University Press.Search in Google Scholar

King, Jeffrey C. 2003. Tense, modality and semantic values. Philosophical Perspectives 17(1). 195–245. https://doi.org/10.1111/j.1520-8583.2003.00009.x.Search in Google Scholar

Klima, Edward S. 1964. Negation in English. In Jerry A. Fodor & Jerrold Katz (eds.), The structure of language, 246–323. Englewood Cliffs, NJ: Prentice-Hall.Search in Google Scholar

Klima, Gyula. 2021. Form, intention, information: From scholastic logic to Artificial Intelligence. In Ludger Jansen & Petter Sandstad (eds.), Neo-Aristotelian perspectives on formal causation, 19–39. London: Routledge.10.4324/9780429329821-3Search in Google Scholar

Leech, Geoffrey N. 2004. Meaning and the English verb, 3rd edn. London: Longman.Search in Google Scholar

Ludlow, Peter. 2008. Tense. In Ernest Lepore & Barry C. Smith (eds.), The Oxford handbook of philosophy of language, 689–715. Oxford: Oxford University Press.10.1093/oxfordhb/9780199552238.003.0028Search in Google Scholar

Maienborn, Claudia, Klaus von Heusinger & Paul Portner. 2011. Semantics: An international handbook of natural language meaning. Berlin: De Gruyter Mouton.10.1515/9783110226614Search in Google Scholar

Michaelis, Laura A. 2004. Type shifting in construction grammar: An integrated approach to aspectual coercion. Cognitive Linguistics 15(1). 1–67.10.1515/cogl.2004.001Search in Google Scholar

Montague, Richard. 1973. The proper treatment of quantification in ordinary English. In Patrick Suppes, Julius Moravcsik & Jaakko Hintikka (eds.), Approaches to natural language, 221–242. Dordrecht: Reidel.10.1007/978-94-010-2506-5_10Search in Google Scholar

Montague, Richard. 1974. Universal grammar. In Formal philosophy: Selected papers of Richard Montague, 222–246. New Haven: Yale University Press.Search in Google Scholar

Murphy, M. Lynne. 2010. Lexical meaning. Cambridge: Cambridge University Press.10.1017/CBO9780511780684Search in Google Scholar

Nishiyama, Atusko & Jean-Pierre Koenig. 2010. What is a perfect state? Language 86(4). 611–646. https://doi.org/10.1353/lan.2010.0014.Search in Google Scholar

Ogihara, Toshiyuki. 1996. Tense, attitudes and scope. Dordrecht: Kluwer.10.1007/978-94-015-8609-2Search in Google Scholar

Palmer, Frank R. 1979. Modality and the English modals, 1st edn. London: Longman.Search in Google Scholar

Palmer, Frank R. 1986. Mood and modality. Cambridge: Cambridge University Press.Search in Google Scholar

Palmer, Frank R. 1990. Modality and the English modals, 2nd edn. London: Longman.Search in Google Scholar

Parsons, Terence. 1990. Events in the semantics of English: A study in subatomic semantics. Cambridge, MA: MIT Press.Search in Google Scholar

Portner, Paul. 2005. What is meaning? Fundamentals of formal semantics. Oxford: Blackwell.Search in Google Scholar

Prior, Arthur N. 1957. Time and modality. Oxford: Oxford University Press.Search in Google Scholar

Prior, Arthur N. 1967. Past, present and future. Oxford: Oxford University Press.10.1093/acprof:oso/9780198243113.001.0001Search in Google Scholar

Prior, Arthur N. & Kit Fine. 1977. Worlds, times and selves. London: Duckworth.Search in Google Scholar

Radden, Günther & René Dirven. 2007. Cognitive English grammar. Amsterdam: John Benjamins.10.1075/clip.2Search in Google Scholar

Richard, Mark. 1981. Temporalism and eternalism. Philosophical Studies 39(1). 1–13. https://doi.org/10.1007/bf00354808.Search in Google Scholar

Stowell, Tim. 2004. Tense and modals. In Jacqueline Guéron & Jacqueline Lecarme (eds.), The syntax of time, 621–636. Cambridge, MA: MIT Press.10.7551/mitpress/6598.003.0025Search in Google Scholar

Stowell, Tim. 2007. The syntactic expression of tense. Lingua 117(2). 437–463. https://doi.org/10.1016/j.lingua.2005.08.003.Search in Google Scholar

ter Meulen, Alice. 1995. Representing time in natural language: The dynamic interpretation of tense and aspect. Cambridge, MA: MIT Press.10.7551/mitpress/5897.001.0001Search in Google Scholar

Thomason, Richmond H. & Robert C. Stalnaker. 1973. A semantic theory of adverbs. Linguistic Inquiry 4(2). 195–220.Search in Google Scholar

Tottie, Gunnel. 1985. The negation of epistemic necessity in present-day British and American English. English World-Wide 6(1). 87–116. https://doi.org/10.1075/eww.6.1.05tot.Search in Google Scholar

van der Auwera, Johan. 2001. On the typology of negative modals. In Jack Hoeksema, Hotze Rullmann, Victor Sanchez-Valencia & Ton van der Wouden (eds.), Perspectives on negation and polarity items, 23–48. Amsterdam: John Benjamins.10.1075/la.40.03auwSearch in Google Scholar

van der Auwera, Johann & Vladimir Plungian. 1998. Modality’s semantic map. Linguistic Typology 2. 79–124. https://doi.org/10.1515/lity.1998.2.1.79.Search in Google Scholar

von Fintel, Kai & Sabine Iatridou. 2007. Anatomy of a modal construction. Linguistic Inquiry 38(3). 445–483. https://doi.org/10.1162/ling.2007.38.3.445.Search in Google Scholar

Zwicky, Arnold M. & Geoffrey K. Pullum. 1983. Cliticization versus inflection: English n’t. Language 59(3). 502–513. https://doi.org/10.2307/413900.Search in Google Scholar

Received: 2023-01-17
Accepted: 2023-07-18
Published Online: 2023-08-25
Published in Print: 2024-04-25

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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