The Representation of the Temporal Properties of Linguistic Utterances through a Mathematical Model

  • Ismael Teomiro Universidad Nacional de Educación a Distancia (UNED)
  • María Beatriz Pérez Cabello de Alba Universidad Nacional de Educación a Distancia (UNED)

Abstract

In this article we use a mathematical model to encode the temporal properties of linguistic utterances across languages by means of mathematical objects—points, lines, segments, vectors and versors—and the relations established among them in a four-dimensional space. Such temporal properties are encoded through threedifferent systems: tense—past, present and future—which locates the utterance on a temporal line, aspect—perfectivity and progressivity—which sets the viewpoint of the speaker, and Aktionsart, which refers to the structural temporal properties of the utterance such as telicity—whether the event has an endpoint or not—dynamicity—whether a change is conveyed or not—and duration. This model aims to be language independent in order to allow for the codification of the temporal properties of utterances in any language, thus rendering it appropriate to be used as an interlingua in Natural Language Processing (NLP) applications. This wouldsignificantly improve the comprehension of natural language in search engines and automatic translation systems, to name two examples. Hence, our ultimate goal is for this model to achieve computational adequacy.

Author Biographies

Ismael Teomiro, Universidad Nacional de Educación a Distancia (UNED)
Ismael Teomiro is Associate Professor of Linguistics in the Department of Foreign Philology and Linguistics at the Spanish National Distance Education University (UNED). He has carried out research on the lexicon-syntax interface and comparative syntax of Romance and Germanic languages, as well as on the concepts-lexicon interface, the grammaticalization of time and its codification for natural language processing.
María Beatriz Pérez Cabello de Alba, Universidad Nacional de Educación a Distancia (UNED)
María Beatriz Pérez Cabello de Alba is Associate Professor of Linguistics at the Spanish National Distance Education University (UNED), where she teaches linguistics. Her research interests cover lexicology, ontological semantics and natural language processing. She has been a visiting professor at Chulalongkorn University (Bangkok), an associate professor at Kingston University and an assistant professor at the London School of Economics and Political Science.

References

Aparicio, Juan, Irene Castellón and Marta Coll-Florit. 2013. “Hacia un tratamiento computacional del Aktionsart.” Linguamática 5 (2): 65-76.

Bennett, Michael and Barbara Partee. 1972. Towards the Logic of Tense and Aspect in English. Santa Monica, CA: System Development Corporation.

Bertinetto, Pier Marco et al., eds. 1995. Temporal Reference, Aspect and Actionality. Turin: Rosenberg and Sellier.

Bianchi, Valentina, Mario Squartini and Pier Marco Bertinetto. 1995. “Perspective Point of Textual Dynamics.” In Bertinetto et al. 1995, 309-24.

Borer, Hagit. 2005. The Normal Course of Events. Oxford: Oxford UP.

Borik, Olga. 2002. Aspect and Reference Time. Utrecht: LOT.

Borik, Olga and Tanya Reinhart. 2004. “Telicity and Perfectivity: Two Independent Systems.” In Hundayi, Rákosi and Tóth 2004, 13-34.

Brala Vukanović, Marija and Lovorka Gruić Grmuša, eds. 2009. Space and Time in Language and Literature. Newcastle upon Tyne: Cambridge Scholars.

Calzolari, Nicoletta, ed. 2010. Proceedings from 7th International Conference on Language Resources and Evaluation. Malta: European Language Resources Association.

Casasanto, Daniel and Lera Boroditsky. 2008. “Time in the Mind: Using Space to Think About Time.” Cognition 106: 579-93.

Choi, Soonja. 2009. “Typological Differences in Syntactic Expressions of Path and Causation.” In Gathercole 2009, 169-94.

Comrie, Bernard. 1985. Tense. Cambridge: Cambridge UP.

Declerck, Renaat. 1986. “From Reichenbach (1947) to Comrie (1985) and Beyond.” Lingua 70: 305-64.

Demirdache, Hamida and Myriam Uribe-Etxebarria. 2000. “The Primitives of Temporal Relations.” In Martin, Michaels and Uriagereka 2000, 157-86.

Dowty, David. 1979. Word Meaning and Montague Grammar: The Semantics of Verbs and Times in Generative Semantics and in Montague’s PTQ. Dordrecht: Reidel.

Everett, Daniel. 2005. “Cultural Constraints on Grammar and Cognition in Pirahã.” Current Anthropology 46 (4): 621-34.

Gathercole, Virginia, ed. 2009. Routes to Language: Studies in Honor of Melissa Bowerman. Mahwah, NJ: Lawrence Erlbaum.

Gentner, Dedre, Mutsumi Imai and Lera Boroditsky. 2002. “As Time Goes By: Evidence for Two System in Processing Space à Time Metaphors.” Language and Cognitive Processes 17 (5): 537-65.

Giannakis, Georgios. 1993. “The Tense-Aspect System of the Indo-European Verb.” Word 44 (3): 485-95.

Giorgi, Alessandra and Fabio Pianesi. 1997. Tense and Aspect: From Semantics to Morphosyntax. Oxford: Oxford UP.

Hornstein, Norbert. 1990. As Times Goes By: Tense and Universal Grammar. Cambridge, MA: MIT Press.

Hunyadi, László, György Rákosi and Enikő Tóth, eds. 2004. Proceedings of LOLA 8 (Symposium on Logic and Language). Debrecen: U of Debrecen.

Johnson, Mark. 1987. The Body in the Mind: The Bodily Basis of Meaning, Imagination and Reason. Chicago, IL: The U of Chicago P.

Klein, Wolfgang. 1992. “The Present Perfect Puzzle.” Language 68 (3): 525-52.

Krifka, Manfred. 1998. “The Origins of Telicity.” In Rothstein 1998, 197-235.

Lakoff, George and Mark Johnson. 1980a. Metaphors We Live by. Chicago, IL: The U. of Chicago P.

—. 1980b. “The Metaphorical Structure of the Human Conceptual System.” Cognitive Science 4 (2): 195-208.

Levin, Beth. 2000. “Aspect, Lexical Semantic Representation and Argument Expression.” In Simpson 2000, 413-29.

Mani, Inderjeet, James Pustejovsky and Robert Gaizauskas, eds. 2005. The Language of Time: A Reader. Oxford: Oxford UP.

Martin, Roger, David Michaels and Juan Uriagereka, eds. 2000. Step by Step: Essays on Minimalist Syntax in Honor of Howard Lasnik. Cambridge, MA: MIT Press.

Merrit, Dustin, Daniel Casasanto and Elizabeth Brannon. 2010. “Do Monkeys Think in Metaphors? Representations of Space and Time in Monkeys and Humans.” Cognition 117 (2): 191-202.

Nolan, Brian and Elke Diedrichsen, eds. 2013. Linking Constructions into Functional Linguistics: The Role of Constructions in Grammar. Amsterdam and Philadelphia: John Benjamins.

Periñán Pascual, Carlos. 2013. “Towards a Model of Constructional Meaning for Natural Language Understanding.” In Nolan and Diedrichsen 2013, 205-30.

Periñán Pascual, Carlos and Francisco Arcas Túnez. 2010. “The Architecture of FunGramKB.” In Calzolari et al. 2010, 2667-74.

—. 2011. “Introducción a FunGramKB.” Anglogermánica Online 8: 1-15.

Periñán Pascual, Carlos and Ricardo Mairal Usón. 2010. “La gramática de COREL: Un lenguaje de representación conceptual.” Onomázein 21: 11-45.

Prior, Arthur. 1967. Past, Present and Future. Oxford: Oxford UP.

Reichenbach, Hans. 1947. Elements of Symbolic Logic. London: Macmillan.

Rothstein, Susan, ed. 1998. Events and Grammar. Dordrecht: Kluwer.

Shafarin, Farzad, ed. 2015. The Routledge Handbook of Language and Culture. London and New York: Routledge.

Simpson, Andrew K., ed. 2000. Proceedings of the 26th Annual Meeting of the Berkeley Linguistics Society. Berkeley: U of California.

Sinha, Chris and Enrique Bernárdez. 2015. “Space, Time and Space-Time: Metaphors, Maps and Fusions.” In Shafarin 2015, 309–24.

Smith, Carlota. 1978. “The Syntax and Interpretation of Temporal Expressions in English.” Linguistics and Philosophy 2 (1): 43-99.

Teomiro-García, Ismael Iván and María Beatriz Pérez Cabello de Alba. 2015. “Tense in a Vectorial Model for the Conceptualization of Time.” Onomázein 32: 353-71.

Van Valin, Robert D. 2005. Exploring the Syntax-Semantics Interface. Cambridge: Cambridge UP.

Vendler, Zeno. 1967. Linguistics in Philosophy. Ithaca, NY: Cornell UP.

Verkuyl, Henk. 1972. On the Compositional Nature of the Aspects. Dordrecht: Reidel.

—. 1993. A Theory of Aspectuality: The Interaction between Temporal and Atemporal Structures. Cambridge: Cambridge UP.

Ward, John Millington. 1963. The Use of Tenses in English. London: Longmans.

Wearden, John and Luke Jones. 2007. “Is the Growth of Subjective Time in Humans a Linear or Nonlinear Function of Real Time?” The Quarterly Journal of Experimental Psychology 60 (9): 1289-302.

Weger, Ulrich and Jay Pratt. 2008. “Time Flies Like an Arrow: Space-Time Compatibility Effects Suggest the Use of a Mental Time-Line.” Psychonomic Bulletin and Review 15 (2): 426-30.

Published
2020-12-23
Section
Articles