Abstract
We argue that lexical gaps arise when language learners fail to find productive rules in a morphological domain. Using the Tolerance Principle as a formal model of productivity, we show that lexical gaps can be predicted on purely numerical grounds using lexical statistics, with case studies on Spanish, Polish, and Russian. The learnability approach taken here leads to simpler theories of morphology.
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Notes
- 1.
This chapter adapts and expands upon analyses first presented in chapter 5 of Yang (2016). We thank Margaret Borowczyk for assistance with Polish, and Jennifer Preys and Vitaly Nikolaev for assistance with Russian. We are also grateful for the comments and suggestions provided by Wolfgang Dressler, Gregory Stump, and the editors of the present volume.
- 2.
For a quantitative analysis of the *stridden gap and the failings of frequency and other measures of indirect negative evidence as a solution to the gap problem, see Yang (2016), section 5.1.1.
- 3.
We avoid the competing term paradigm (or paradigmatic) gap, as we do not wish to make a commitment to the theoretical notion of the inflectional paradigm.
- 4.
- 5.
See also chapter 5 of Yang (2016) for criticisms of a more subtle, frequency-based, form of lexical conservatism that uses indirect negative evidence.
- 6.
We do not claim that the language user will activate the full lexical entries for the irregulars before accessing the regulars. It is conceivable that the computational search process deals with a hashed list, as described in (1): the entries are “keys” indexed by the semantic and phonological properties of words, which point to full lexical entries in long-term memory, rather than lexical entries themselves.
- 7.
Baayen’s formulation unfortunately, and tautologically, quantifies productivity using an inherently continuous measure, a ratio.
- 8.
Albright et al. (2001) argue that there is some weak segmental conditioning on the application of diphthongization. Even if this is correct—and the evidence is not overwhelming—it does not obviate the need for lexical diacritics.
- 9.
- 10.
This correctly predicts that this pattern will be restricted to the third conjugation, since only this conjugation has an -i- theme vowel needed to condition the lowering rule.
- 11.
Note that the g-j alternation in the conjugation of sumergir is purely orthographic; both are [x] throughout.
- 12.
Many Spanish verb stems have multiple prefixal variants; for instance, desvestir ‘to undress’, investir ‘to invest’, revestir ‘to decorate’, and tra(s)vestir(se) ‘to cross-dress’ are all plausibly derived from vestir ‘to dress’. Without exception, all verbs derived from the same stem undergo the same set of stem changes, and therefore we collect counts over verb stems rather than verbs. Verbs were manually grouped by stem, with an etymological dictionary (Roberts 2014) used to adjudicate unclear cases.
- 13.
We analyze the three conjugations separately because it has long been theorized that the productivity of the various stem changes may be a function of conjugation. Note, however, that the Tolerance predictions are the same if the first two conjugations are grouped together.
- 14.
Whereas in Table 3 we collapse prefixal variants of a stem into a single entry, Albright does not mention any such practice, so inputs to the MGL system in this experiment are verb stems plus any prefix(es), rather than stems.
- 15.
However, it may still be the case that subjective frequencies used by Albright are better predictors of defectivity than the corpus-based frequency norms used here.
- 16.
This calculation is complicated slightly by a small number of masculine nouns which take -a in the gen.sg. and -u in the dative singular. Since this word list does not provide a way to determine the case of individual tokens, the count of -u nouns (516) may be a slight overestimate, but it is unlikely this would change the results, as the number of nouns potentially affected is rather small and both classes are quite far from the productivity threshold.
- 17.
- 18.
Pertsova (2016) distinguishes between t-stems and st-stems, presumably because the s of the latter is never present in the 1sg. non-past; e.g., vyrastit’-vyrašču ‘raise, cultivate’, but *vyra[stʃj]u. However, this can be handled with an additional—surface-true—phonological rule simplifying the resulting sibilant cluster, as [stʃj] is not a valid onset in Russian (Vitaly Nikolaev, p.c.).
- 19.
As in Spanish, many Russian verbs are derived from prefixation to stems, but with rare exceptions, all derivatives of a stem undergo the same mutation in the 1sg. non-past. Therefore, Pertsova (2016) collects counts over stems rather than full verbs.
- 20.
Pertsova (ibid.) counts 38 non-defective s → š stems and 36 non-defective z → ž stems. Assuming these are related by a single rule of retroflexion, as seems likely, they can tolerate no more than 20 non-alternating exceptions.
References
Albright, Adam. 2003. A Quantitative Study of Spanish Paradigm Gaps. In Proceedings of the 22th West Coast Conference on Formal Linguistics, 1–14. Somerville: Cascadilla.
———. 2009. Lexical and Morphological Conditioning of Paradigm Gaps. In Modeling Ungrammaticality in Optimality Theory, ed. Sylvia Blaho and Curt Rice, 117–164. London: Equinox.
Albright, Adam, and Bruce Hayes. 2003. Rules vs. Analogy in English Past Tenses: A Computational/Experimental Study. Cognition 90: 119–161.
Albright, Adam, Argelia Andrade, and Bruce Hayes. 2001. Segmental Environments of Spanish Diphthongization. In UCLA Working Papers in Linguistics 7: Papers in Phonology 5, 117–151. Los Angeles: University of California.
Anderson, Stephen R. 1969. West Scandinavian Vowel Systems and the Ordering of Phonological Rules. Doctoral dissertation, MIT.
———. 2010. Failing One’s Obligations: Defectiveness in Rumantsch Reflexes of DĒBĒRE. In Defective Paradigms: Missing Forms and What They Tell Us, ed. Matthew Baerman, Greville G. Corbett, and Dunstan Brown, 19–34. Oxford: Oxford University Press.
Aronoff, Mark. 1976. Word Formation in Generative Grammar. Cambridge: MIT Press.
Baayen, R. Harald. 2009. Corpus Linguistics in Morphology: Morphological Productivity. In Corpus Linguistics: An International Handbook, ed. Anke Ludeling and Merja Kyto, 899–919. Berlin/Boston: Mouton de Gruyter.
Baerman, Matthew. 2008. Historical Observations on Defectiveness: The First Singular Non-past. Russian Linguistics 32: 81–97.
Baerman, Matthew, and Greville G. Corbett. 2010. Defectiveness: Typology and Diachrony. In Defective Paradigms: Missing Forms and What They Tell Us, ed. Matthew Baerman, Greville G. Corbett, and Dunstan Brown, 19–34. Oxford: Oxford University Press.
Baerman, Matthew, Greville G. Corbett, and Dunstan Brown (eds.). 2010. Defective Paradigms: Missing Forms and What They Tell Us. Oxford: Oxford University Press.
Baronian, Luc. 2005. North of Phonology. Doctoral dissertation, Stanford University.
Bauer, Laurie. 2001. Morphological Productivity. Cambridge: Cambridge University Press.
Berko, Jean. 1958. The Child’s Learning of English Morphology. Word 14: 150–177.
Boyé, Gilles, and Patricia Cabredo Hofherr. 2010. Defectivity as stem suppletion in French and Spanish verbs. In Defective Paradigms: Missing Forms and What They Tell Us, ed. Matthew Baerman, Greville G. Corbett, and Dunstan Brown, 35–52. Oxford: Oxford University Press.
Brame, Michael K, and Ivonne Bordelois. 1973. Vocalic Alternations in Spanish. Linguistic Inquiry 4: 111–168.
Brown, Roger. 1973. A First Language: The Early Stages. Cambridge: Harvard University Press.
Butt, John, and Carmen Benjamin. 1988. A New Reference Grammar of Modern Spanish. London: Edward Arnold.
Chomsky, Noam. 1965. Aspects of the Theory of Syntax. Cambridge: MIT Press.
———. 2005. Three Factors in Language Design. Linguistic Inquiry 36: 1–22.
Clahsen, Harald. 1999. Lexical Entries and Rules of Language: A Multidisciplinary Study of German Inflection. Behavioral and Brain Sciences 22: 991–1069.
Clahsen, Harald, Monika Rothweiler, Andreas Woest, and Gary Marcus. 1992. Regular and Irregular Inflection in the Acquisition of German Noun Plurals. Cognition 45: 225–255.
Clahsen, Harald, Fraibet Aveledo, and Iggy Roca. 2002. The Development of Regular and Irregular Verb Inflection in Spanish Child Language. Journal of Child Language 29: 591–622.
D ąbrowska, Ewa. 2001. Learning a Morphological System Without a Default: The Polish Genitive. Journal of Child Language 28: 545–574.
———. 2005. Productivity and Beyond: Mastering the Polish Genitive Inflection. Journal of Child Language 32: 191–205.
Dressler, Wolfgang U. 1999. Why Collapse Morphological Concepts? Behavioral and Brain Sciences 22: 1021.
Dressler, Wolfgang U., Lavinia Merlini Barbaresi, Sonja Schwaiger, Jutta Ransmayr, Sabine Sommer-Lolei, and Katharina Korecky-Kröll. 2019. Rivalry and Lack of Blocking Among Italian and German Diminutives in Adult and Child Language. In Competition in Inflection and Word-Formation, ed. Franz Rainer, Francesco Gardani, Wolfgang U. Dressler, and Hans Christian Luschützky, 123–143. Cham: Springer.
Elsen, Hilke. 2002. The Acquisition of German Plurals. In Morphology 2000: Selected Papers from the 9th Morphology Meeting, Vienna, 25–27 Feb 2000, 117–128. Amsterdam: John Benjamins.
Fanselow, Gisbert, and Caroline Féry. 2002. Resolving Conflicts in Grammars: Optimality Theory in Syntax, Morphology, and Phonology. Hamburg: Helmut Buske.
Goodman, Judith C., Philip S. Dale, and Ping Li. 2008. Does Frequency Count? Parental Input and the Acquisition of Vocabulary. Journal of Child Language 35: 515–531.
Hahn, Ulrike, and Ramin C. Nakisa. 2000. German Inflection: Single Route or Dual Route? Cognitive Psychology 41: 313–360.
Halle, Morris. 1973. Prolegomena to a Theory of Word Formation. Linguistic Inquiry 4: 3–16.
Halle, Morris, and Alec Marantz. 1993. Distributed Morphology and the Pieces of Inflection. In The View from Building 20: Essays in Linguistics in Honor of Sylvain Bromberger, ed. Kenneth Hale and Samuel Keyser, 111–176. Cambridge: MIT Press.
Harris, James W. 1969. Spanish Phonology. Cambridge: MIT Press.
———. 1985. Spanish Diphthongisation and Stress: A Paradox Resolved. Phonology 2: 31–45.
Hart, Betty, and Todd R. Risley. 1995. Meaningful Differences in the Everyday Experience of Young American Children. Baltimore: Paul H. Brookes Publishing.
Hetzron, Robert. 1975. Where the Grammar Fails. Language 51: 859–872.
Hill, Archibald A. 1976. [Obituary:] Albert Henry Marckwardt. Language 52: 667–681.
Hudson, Richard. 2000. *I amn’t. Language 76: 297–323.
Kiparsky, Paul. 1973. “Elsewhere” in Phonology. In A Festschrift for Morris Halle, ed. Stephen R. Anderson and Paul Kiparsky, 93–106. New York: Holt, Rinehart and Winston.
Kottum, Steiner S. 1981. The Genitive Singular form of Masculine Nouns in Polish. Scando-Slavica 27: 179–186.
Labov, William. 1972. Sociolinguistic Patterns. Philadelphia: University of Pennsylvania Press.
Labov, William, Sharon Ash, and Charles Boberg. 2006. The Atlas of North American English: Phonetics, Phonology, and Sound Change. Berlin: Mouton de Gruyter.
Lerner, Marielle. 2011. Spanish 3rd Conjugation Verb Stem Alternations. Ms., University of Pennsylvania.
MacWhinney, Brian. 2000. The CHILDES Project: Tools for Analyzing Talk, 3rd ed. Mahwah: Lawrence Erlbaum Associates.
Maiden, Martin, and Paul O’Neill. 2010. On Morphomic Defectiveness: Evidence from the Romance Languages of the Iberian Peninsula. In Defective Paradigms: Missing Forms and What They Tell Us, ed. Matthew Baerman, Greville G. Corbett, and Dunstan Brown, 103–124. Oxford: Oxford University Press.
Marcus, Gary. 1995. Children’s Overregularization of English Plurals: A Quantitative Analysis. Journal of Child Language 22: 447–459.
Marcus, Gary, Steven Pinker, Michael T. Ullman, Michelle Hollander, John Rosen, and Fei Xu. 1992. Overregularization in Language Acquisition. Monographs of the Society for Research in Child Development. Chicago: University of Chicago Press.
Marcus, Gary F., Ursula Brinkmann, Harald Clahsen, Richard Wiese, and Steven Pinker. 1995. German Inflection: The Exception that Proves the Rule. Cognitive Psychology 29: 189–256.
Mateo, Francis, and Antonio Rojo Sastre. 1995. El arte de conjugar en español. Paris: Hatier.
Maunsch, Hanna. 2003. Current Alternations in Inflection of Polish Masculine Inanimate Nouns in the Singular: A Pilot Study. Investigationes Linguisticae 9: 4–21.
Mayol, Laia. 2007. Acquisition of Irregular Patterns in Spanish Verbal Morphology. In Proceedings of the Twelfth ESSLLI Student Session, ed. Ville Nurmi and Dmitry Sustretov, 1–11.
Merkuur, Anne, Jan Don, Eric Hoekstra, and Arjen P. Versloot. 2019. Competition in Frisian Past Participles. In Competition in Inflection and Word-Formation, ed. Franz Rainer, Francesco Gardani, Wolfgang U. Dressler, and Hans Christian Luschützky, 195–222. Cham: Springer.
Mills, Anne. 1986. The Acquisition of Gender: A Study of English and German. Berlin: Springer.
Moskvin, Vadim. 2015. Nedostatochnye Glagoly: k utochneniju pon’atija. Russian Linguistics 39: 209–232.
Nagy, William E., and Anderson, Richard C. 1984. How Many Words Are There in Printed School English? Reading Research Quarterly 19: 304–330.
———. 1866. Formenlehre der lateinischen Sprache. Stuttgart: H. Lindemann.
Newport, Elissa L. 1990. Maturational Constraints on Language. Cognitive Science 14: 11–28.
Nida, Eugene A. 1949. Morphology: The Descriptive Analysis of Words, 2nd ed. Ann Arbor: University of Michigan Press.
Orgun, Orhan C., and Ronald Sprouse. 1999. From MPARSE to CONTROL: Deriving Ungrammaticality. Phonology 16: 191–224.
Pertsova, Katya. 2005. How Lexical Conservatism Can Lead to Paradigm Gaps. In UCLA Working Papers in Linguistics 11: Papers in Phonology 6, 13–30. University of California, Los Angeles.
———. 2016. Transderivational Relations and Paradigm Gaps in Russian Verbs. Glossa 1: 13.
Pinker, Steven. 1999. Words and Rules: The Ingredients of Language. New York: Basic Books.
Prince, Alan, and Paul Smolensky. 1993. Optimality Theory: Constraint Interaction in Generative Grammar. Technical Report TR-2, Rutgers University Center For Cognitive Science and Technical Report CU-CS-533-91, University of Colorado, Boulder Department of Computer Science. Published by MIT Press, Cambridge, 2004.
Pullum, Geoffrey K., and Deidre Wilson. 1977. Autonomous Syntax and the Analysis of Auxiliaries. Language 53: 741–788.
Raffelsiefen, Renate. 1996. Gaps in Word Formation. In Interfaces in Phonology, ed. Ursula Kleinhenz, 194–209. Berlin: Akademie-Verlag.
———. 1999. Phonological Constraints on English Word Formation. In Yearbook of Morphology 1998, ed. Geert Booij and Jaap van Marle, 225–287. Dordrecht: Kluwer.
Real Academia Española. 1992. Diccionario de la lengua española, 21st ed. Madrid: Real Academia Española.
Rebrus, Péter, and Miklós Törkenczy. 2009. Covert and Overt Defectiveness in Paradigms. In Modeling Ungrammaticality in Optimality Theory, ed. Sylvia Blaho and Curt Rice, 195–234. London: Equinox.
Rice, Curt. 2005. Optimal Gaps in Optimal Paradigms. Catalan Journal of Linguistics 4: 155–170.
Rice, Curt, and Sylvia Blaho, ed. 2009. Modeling Ungrammaticality in Optimality Theory. London: Equinox.
Roberts, Edward A. 2014. A Comprehensive Etymological Dictionary of the Spanish Language with Families of Words Based on Indo-European Roots, vol. 2. Bloomington: Xlibris.
Schuler, Kathryn D., Charles Yang, and Elissa L. Newport. 2016. Testing the Tolerance Principle: Children form Productive Rules When It Is More Computationally Efficient to Do So. In Proceedings of the 38th Annual Conference of the Cognitive Science Society, ed. Anna Papafragou, Daniel Grodner, Daniel Mirman, and John C. Trueswell, 2321–2326. Austin, TX: Cognitive Science Society.
Sebastián, Núria, Fernando Cuetos, Antònia Martí, and Manuel Carreiras. 2001. LEXESP: Léxico informatizado del español. Barcelona: Edicions de la Universitat de Barcelona.
Sims, Andrea. 2006. Minding the Gap: Inflectional Defectiveness in a Paradigmatic Theory. Doctoral dissertation, Ohio State University.
———. 2007. Why Defective Paradigms Are, and Aren’t, the Result of Competing Morphological Patterns. In Proceedings of the 43rd Annual Meeting of the Chicago Linguistic Society, 267–281. University of Chicago.
Slioussar, Natalia, and Maria Kholodilova. 2013. Paradigm Leveling in Non-standard Russian. In Formal Approaches to Slavic Linguistics: The Second MIT Meeting 2011, ed. Alexander Podobryaev, 243–258. Ann Arbor: Michigan Slavic Publications.
Smoczyńska, Magdalena. 1985. The Acquisition of Polish. In The Crosslinguistic Study of Language Acquisition. Volume 1: The Data, ed. Daniel I. Slobin, 595–686. Hillsdale: Erlbaum.
Smolensky, Paul. 1996. The Initial State and ‘Richness of the Base’ in Optimality Theory. Technical Report JHU-CogSci-96-4, Department of Cognitive Science, Johns Hopkins University.
Sonnenstuhl, Ingrid, and Axel Huth. 2002. Processing and Representation of German -n Plurals: A Dual Mechanism Approach. Brain and Language 81: 276–290.
Spencer, Andrew. 1991. Morphological Theory: An Introduction to Word Structure in Generative Grammar. Oxford: Basil Blackwell.
Steriade, Donca. 1997. Lexical Conservatism. In Linguistics in the Morning Calm: Selected Papers from SICOL 1997, 157–179. Seoul: Hanshin.
———. 2008. A Pseudo-Cyclic Effect in Romanian Morphophonology. In Inflectional Identity, ed. Asaf Bachrach and Andrew Nevins, 313–360. Oxford: Oxford University Press.
Szagun, Gisela. 2001. Learning Different Regularities: The Acquisition of Noun Plurals by German-Speaking Children. First Language 21: 109–141.
———. 2004. Learning by Ear: On the Acquisition of Case and Gender Marking by German-Speaking Children with Normal Hearing and with Cochlear Implants. Journal of Child Language 31: 1–30.
Versloot, Arjen P., and Eric Hoekstra. 2019. Blocking as a Function of the Nature of Linguistic Representations: Where Psycholinguistics and Morphology Meet. In Competition in Inflection and Word-Formation, ed. Franz Rainer, Francesco Gardani, Wolfgang U. Dressler, and Hans Christian Luschützky, 145–166. Cham: Springer.
Weist, Richard M., and Katarzyna Witkowska-Stadnik. 1986. Basic Relations in Child Language and the Word Order Myth. International Journal of Psychology 21: 363–381.
Weist, Richard M., Hanna Wysocka, Katarzyna Witkowska-Stadnik, Ewa Buczowska, and Emilia Konieczna. 1984. The Defective Tense Hypothesis: On the Emergence of Tense and Aspect in Child Polish. Journal of Child Language 11: 347–374.
Wiese, Richard. 2000. The Phonology of German. Oxford: Clarendon.
Wolf, Matthew, and John McCarthy. 2009. Less Than Zero: Correspondence and the Null Output. In Modeling Ungrammaticality in Optimality Theory, ed. Sylvia Blaho and Curt Rice, 17–66. London: Equinox.
Wunderlich, Dieter. 1999. German Noun Plural Reconsidered. Behavioral and Brain Sciences 22: 1044–1045.
Xu, Fei, and Steven Pinker. 1995. Weird Past Tense Forms. Journal of Child Language 22: 531–556.
Yang, Charles. 2002. Knowledge and Learning in Natural Language. Oxford: Oxford University Press.
———. 2005. On Productivity. Linguistic Variation Yearbook 5: 333–370.
———. 2010. Three Factors in Language Variation. Lingua 120: 1160–1177.
———. 2016. The Price of Linguistic Productivity. Cambridge: MIT Press.
———. 2017. How to Wake Irregular (and Speechless). In On Looking into Words (and Beyond): Structures, Relations, Analyses, ed. Claire Bowern, Laurence Horn, and Raffaela Zanuttini, 211–232. Berlin: Language Science Press.
Yip, Kenneth, and Gerald J. Sussman. 1997. Sparse Representations for Fast, One-Shot Learning. In Proceedings of the Fourteenth National Conference on Artificial Intelligence, 521–527, AAAI Press/The MIT Press.
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Gorman, K., Yang, C. (2019). When Nobody Wins. In: Rainer, F., Gardani, F., Dressler, W., Luschützky, H. (eds) Competition in Inflection and Word-Formation . Studies in Morphology, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-030-02550-2_7
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