Meaning in Acquisition Semantic Structure, Lexical Organization, and Crosslinguistic Variation

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2 9 Meaning in Acquisition Semantic Structure, Lexical Organization, and Crosslinguistic Variation PING LI The Pennsylvania State University INTRODUCTION I n this chapter, I examine three problems: the acquisition of tense and aspect, the acquisition of cryptotypes, and the development of lexical structure. The central issue in all three problems is how the child discovers word meanings in a lexical system, and what mechanisms are at work in the process of this discov- ery. In each case, the problem domain involves the learning of semantic structures that are important for the use of grammatical morphology or lexical categories. In examining these three cases, I argue that structured semantic representations of the lexicon can emerge as a natural outcome of the meaning-form and the mean- ing-meaning mappings in language acquisition. Two major perspectives inform the examination of children’s development of these structures (and have been key assumptions underlying Bowerman’s own work). First, one cannot look at the acquisition of a given set of forms in isola- tion. In the study of the acquisition of morphology, for example, it is important to examine not only the morphological devices per se, but also the words (particularly verbs) with which these devices are used (Bowerman, 1982, 1983). For example, the acquisition of the prefix un- needs to be considered closely with the verbs that can take un-. In Whorf’s (1956) view, un- marks a cryptotype, a covert semantic category that can only be implicitly defined by the devices it goes with. Thus, the understanding of un- in child language cannot be complete without a consideration

Transcript of Meaning in Acquisition Semantic Structure, Lexical Organization, and Crosslinguistic Variation

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9MeaninginAcquisition

Semantic Structure, Lexical Organization, and

Crosslinguistic Variation

PINGLIThe Pennsylvania State University

introDuction

I nthischapter,Iexaminethreeproblems:theacquisitionoftenseandaspect,theacquisitionofcryptotypes,andthedevelopmentoflexicalstructure.Thecentralissueinallthreeproblemsishowthechilddiscoverswordmeanings

inalexicalsystem,andwhatmechanismsareatworkintheprocessofthisdiscov-ery.Ineachcase,theproblemdomaininvolvesthelearningofsemanticstructuresthatareimportantfortheuseofgrammaticalmorphologyorlexicalcategories.Inexaminingthesethreecases,Iarguethatstructuredsemanticrepresentationsofthelexiconcanemergeasanaturaloutcomeofthemeaning-formandthemean-ing-meaningmappingsinlanguageacquisition.

Twomajorperspectivesinformtheexaminationofchildren’sdevelopmentofthese structures (and have been key assumptions underlying Bowerman’s ownwork).First, onecannot lookat theacquisitionof agiven setof forms in isola-tion.Inthestudyoftheacquisitionofmorphology,forexample,itisimportanttoexaminenotonlythemorphologicaldevicesperse,butalsothewords(particularlyverbs)withwhichthesedevicesareused(Bowerman,1982,1983).Forexample,theacquisitionoftheprefixun-needstobeconsideredcloselywiththeverbsthatcantakeun-.InWhorf’s(1956)view,un-marksacryptotype,acovertsemanticcategorythatcanonlybeimplicitlydefinedbythedevicesitgoeswith.Thus,theunderstandingofun-inchildlanguagecannotbecompletewithoutaconsideration

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of thecryptotypemeanings that arecharacteristicof theun-ableverbs.By thesametoken,theacquisitionoftense-aspectsuffixessuchas-ingand-edneedstobeconsideredtogetherwiththetypesofverbs(atelic,telic,result,etc.)towhichthesuffixesareattached.Intheempiricalliteraturethereisampleevidencethatchildrenpayattentiontotheinherentmeaningsoftheverbswhentheylearntousetense-aspectsuffixes(Bloom,Lifter,&Hafitz,1980;Brown,1973;Slobin,1985).InLiandBowerman(1998)andLiandShirai(2000),weexaminedspecificallythe interactionbetweengrammatical aspect (expressedbymorphologicalmark-ers)andlexicalaspect(expressedininherentmeaningsofverbs)inbothfirstandsecondlanguageacquisition,inasystematicattempttoconnectmorphologyandlexicalsemantics.

AsecondimportantperspectivechampionedbyBowermanisthatinformulat-ingandtestingtheoriesoflanguageacquisition,itisimportanttoexamineacquisi-tiondatafromnotonlyonelanguage(usuallyEnglishbydefault),butalsofromotherlanguages.Crosslinguisticevidenceiscrucialinmanycasesbecauseofthelanguage-specificpropertiesassociatedwithindividuallanguages.Often,agivenhypothesisappearstobeperfectforonelanguage,butitmayturnouttobeinac-curateorincompleteuponacloselookatdatafromotherlanguages.Forexample,Englishusestheprepositionsonandintoexpressspatial locationsofobjectsinattachmentandfittingsituations.InDutch,theorientationofattachmentmatters,suchthatverticalversushorizontalattachmentsinvolvetheuseofdifferentprepo-sitions;inKorean,thedegreeoffitmatters,suchthattight-fitversusloose-supportsituationsinvolvetheuseofdifferentlocativeverbs.Thus,howEnglish-speakingchildrenlearnonandinwillnotbesufficientlyinformativeastohowDutchandKoreanchildren learnthecorrespondingdevices in their languages.Acrosslin-guisticperspectivecanbecrucial in illuminatingtheextent towhich language-specificinputmayplayaroleinshapingchildren’searlygrammar(e.g.,Bowerman,1985,1989,1996).

This chapter summarizes our research that aims at connecting morphologyand lexical semantics and at connecting acquisition theories and crosslinguisticdata.Thediscussion isorganizedby the three topics thatImentioned,namely,theacquisitionoftenseandaspect,theacquisitionofcryptotypes,andthedevel-opment of lexical structure. Through careful analysis of crosslinguistic data, aswellasconnectionistmodelingofacquisition,Ishowthatthesemanticstructureunderlyingeachofthesedomainsemergesfromtheassociationsbetweenformsandmeaningspresentintheinput.

the acquisition of tense anD asPect

Empirical Observations

Theexpressionoftimeisoneofthecentralconceptualdomainsoflanguage,andtheacquisitionof theability to talkabout timethroughtheuseof tense-aspectmarkers isoneof theearliest tasks in languageacquisition. In the last30yearsresearchershavedevotedmuchattention to theacquisitionof tenseandaspect

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invariouslanguages(forgeneralreviews,seeLi&Shirai,2000;Shirai,Slobin&Weist,1998;Slobin,1985;Weist,1986).Anearlyobservationofchildren’sacquisi-tionoftense-aspectmarkerscamefromRogerBrown(1973).Browndocumentedtwointerestingpatterns:First,theearliestgrammaticaldeviceinchildren’sspeech,theprogressiveaspectmarker-ing,appearsvirtuallyalwaystobeusedcorrectly.In particular, children never use -ing incorrectly with state verbs; for example,theydonotproduceovergeneralizationslikeknowingorwanting.Second,Eng-lish-speakingchildrenfirstusepast-tense formswithonly a small, semanticallycoherentsetofverbs,includingdropped,slipped,crashed,andbroke,verbsthatindicateevents thathappen instantaneouslybut lead toclearendresults.SomeyearsafterBrown’sobservations,Bloom,Lifter,andHafitz(1980)providedfur-ther evidence that confirmed Brown’s analyses (especially the second observa-tion). They found that the inflections used by young English-speaking childrencorrelatedwiththesemantictypesofverbs:-ingoccurredalmostexclusivelywithverbssuchasplay,ride,andwrite(durative,nonresultative),whereaspast-tenseformsoccurredpredominantlywithverbssuchasfind,fall,andbreak(punctual,resultative).Together,BrownandBloometal.’sdatasuggestedapictureofearly“undergeneralization”intheacquisitionofinflectionalmorphology:Ratherthanusingtense-aspectmarkerswithalltypesofverbs,asadultsdo,childrenusethemmorerestrictively.Obviously,thismorerestrictiveuseofgrammaticalmorphemesisassociatedwiththeinherentsemanticdifferencesoftheverbstowhichthepro-gressiveandpast-tenseformsareattached.

Thestrongassociationsbetweentense-aspectmorphemesandverbsemanticsobserved by Brown and Bloom et al. have generated a considerable amount ofresearch.Manystudieshaveexaminedtheacquisitionoftenseandaspectinotherlanguages,includingChinese(Erbaugh,1982;Li,1990;Li&Bowerman,1998),French (Bronckart & Sinclair, 1973), Italian (Antinucci & Miller, 1976), Polish(Weist, Wysocka, Witkowska-Stadnik, Buczowska, & Konieczna, 1984), Turkish(Aksu,1978;Aksu-Koç&Slobin,1985),andotherlanguages(seeLi&Shirai,2000forareviewofrelevantcrosslinguisticdata).Ingeneral,datafromthesestudiesarerobustandconsistentwithBrownandBloometal.’sobservations,indicatingthattheuseofimperfectiveorprogressiveaspectmorphologyinchildren’sspeechisfirstassociatedwithatelic,activityverbs,whereasthatofperfectiveaspect/pasttensemorphemesisassociatedwithtelic,resultativeverbs.1

Subsequentdiscussionsontheseempiricaldatahavestimulatedintensedebatesonhowchildrenacquirelexicalsemanticsandgrammaticalmorphologyandhavemotivatedtheoreticalaccountsofchildren’ssemanticandmorphologicaldevelop-mentingeneral(seeLi&Shirai,2000,foranoverview).HereIdiscusstwomajorcontrastingproposalsandthenattempttoexplainthedatafromacrosslinguisticdevelopmentalperspective.

1 Notallacquisitionresearchersagreethattheseassociationpatternsexistcrosslinguistically.Forexample,WeistandhiscolleaguesarguedagainsttheproposalofBloometal.(1980).TheyshowedthatPolishchildrenareabletounderstandandproducethebasiccontrastbetweenperfectiveandimperfectiveaspectasearlyas2;6(Weistetal.,1984).SeeLiandShirai(2000,pp.40–47)foradiscussionoftherelevantdebate.

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Contrasting Perspectives

The major divide in perspectives on the acquisition of tense and aspect fallsbetween formalist-nativist and functionalist-cognitivist approaches. The formal-ist perspective is strongly associated with a nativist view in the tense-aspectacquisitionliterature.Initsstrongestform,Bickerton(1981,1984)proposedthelanguagebioprogramhypothesis,accordingtowhichspecificsemanticcategoriesand concepts are biologically preprogrammed for the human language learner,andthesecategoriesorconceptswillnaturallyunfoldintheprocessoflanguageacquisition.Because thecategoriesandconceptsarehard-wiredaheadof time,thechildsimplyneedstodiscoverhowtheyareinstantiatedinspecificformsinthelanguagetobelearned.Twoimportantinnatedistinctionsinthedomainoftenseandaspectarebetweenstateandprocessandbetweenpunctualandnonpunctualcategories.Giventheinnatenatureofthesedistinctions,accordingtoBickerton,earlyoninlanguagedevelopmentstateswillbemarkeddifferentlyfromprocesses,andpunctualsituationswillbemarkeddifferentlyfromnonpunctualsituations,probablybytheuseofdifferenttense-aspectmarkers.2

BickertonfirstsupportedhishypothesiswithevidencefromCreolegrammars,arguing that in theabsenceof relevant input (pidgins, thepredecessorsofCre-oles, do not have tense-aspect markers), first-generation Creole speakers inventtense-aspectsystemstomarkthebioprogrammeddistinctions.Drawinginaddi-tion on child language data, he argued that children first use the tense-aspectmarkers of their language to mark the distinctions between state and processand between punctual and nonpunctual. For example, Bickerton used Brown’s(1973)observationinsupportofaninnatespecificationofthedistinctionbetweenprocess and state: young English-speaking children never overgeneralize theprogressivemarker -ing to stateverbsbecause theyare sensitive to thebiopro-grammedstate–processdistinction.Similarly,Bickertonarguedfortheexistenceofthepunctual–nonpunctualdistinctioninthebioprogram,onthebasisofinter-preting theobservationsbyAntinucciandMiller (1976),BronckartandSinclair(1973), and Aksu-Koç and Slobin (1985; originally Slobin & Aksu, 1980) thatyoungchildrenuse thepastorperfectivemorphemes tomarkpunctualevents.Thus,althoughBickerton’slanguagebioprogramhypothesisoriginatedfromstud-iesofCreolelanguages,manyofitsargumentsrestoninterpretationsofdatainchildren’s acquisitionof tenseandaspect.Bickertonconsideredearly child lan-guagesandCreolestobeidealcasesforobservingthebioprogram,becausetheinnatedistinctionsof thebioprogramare realized in these caseswithoutbeing

2 A somewhatdifferent,but relatedview is advocatedbySlobin (1985).Slobinproposed thebasicchildgrammar,whichcontainsaprestructured“semanticspace”withuniversalseman-ticnotionsorcategories.Thesesemanticcategoriescanactstrongly toattract themorpho-logicalmappingfromtheinputlanguage.ResultandProcessaretwosuchsemanticcategoriesthathavetodowithchildren’sacquisitionoftense-aspectmorphology.However,becausetheissueofinnatenessislessfundamentaltothebasicchildgrammarthanitistothelanguagebioprogramhypothesis,andbecauseSlobin’s(1997)recentreformulationisconsistentwithacognitive–functionalview,Idonotconsiderthebasicchildgrammarasaformalist–nativisttheoryinthisdebate.

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contaminatedbyexternalfactorssubjecttoculturalevolution(e.g.,individuallin-guisticvariationsthatareidiosyncratic).

Thelanguagebioprogramhypothesisattemptedtoexplainlanguageacquisitionbyappealingtoinnatelydeterminedsemanticdistinctions.Acontrastingperspec-tiveisthefunctionalist-cognitivistapproachtotense-aspectacquisition,whichhashadmanyvariantsintheliterature.Oneearlyexplanationfortherestrictedtense-aspectusesinchildlanguagedrewonthechild’spurportedlyinsufficientcognitiveability(Antinucci&Miller,1976;Bronckart&Sinclair,1973).Otherinvestigatorsturnedtothe“inputhypothesis”toexplaintheearlyassociationsbetweengram-maticalmorphologyandlexicalaspect(e.g.,Stephany,1981forModernGreek;Li,1990forchildMandarin;Shirai,1991forEnglish).Stillothersusedthe“aspecthypothesis”orthe“prototypehypothesis”toexplainsimilarpatternsinL2learn-ing(Shirai,1991;Shirai&Andersen,1995).Morerecently,LiandShirai(2000)presentedanintegratedviewofthefunctionalapproach,drawingideasfromboththeprototypehypothesisandconnectionistnetworks.Theyarguedthat inbothL1andL2,thelearner’searlyassociationsbetweenlexicalmeaningsofverbsandgrammatical morphemes do not indicate innate specifications of semantic cat-egories.Rather,theseassociationsreflectthelearner’ssensitivityto(andrecogni-tion of) the statistical properties of the linguistic input, and in turn, statisticalpropertiesintheinputmayreflectinherentconstraintsonlinguisticcommunica-tionandeventcharacteristics.Thesemanticcategoriesbelievedtobeinnatecanemergenaturallyfromthelearningofthelexicalcharacteristicsofverbsincontext.Finally,LiandShiraiarguedthattheassociationsbetweengrammaticalmorphol-ogyandlexicalaspectareprobabilisticandnotabsolute,countertowhatnativistproposalswouldassume.Dependingonthestructureof thetarget language, insomecases,learnersretreatfromtheprobabilisticassociationsanddevelopmoreflexiblepatternsofuse;inothercases,theyholdontotheseassociationsevenastheyacquireadultpatternsoflanguageuse.

Resolving the Conflict Crosslinguistically

Ithasbecomeincreasinglyclearoverthelastfewyearsthatastrongnativistpro-posal like Bickerton’s cannot account for the large body of crosslinguistic data.Instead, a functional, input-based, probabilistic learning mechanism seems tobemostcompatiblewiththewaychildrenapproachtheproblemoftense-aspectacquisition.EvenBickerton(1999)himselfhassignificantlyweakenedthestrongpredictionsoftheoriginallanguagebioprogramhypothesis,assigninganincreasedrole to input languagepatterns inacquisition.Buthowdoescrosslinguisticevi-dencehelpinresolvingtheconflict?

LiandBowerman(1998)presentedcrosslinguisticdataontheacquisitionofaspect inChinese. In threeexperimentswe showed that youngchildren learn-ing Mandarin Chinese displayed the same type of strong associations betweengrammaticalmorphologyandlexicalaspectasinEnglishandotherlanguages.Inparticular,childrencomprehendedtheprogressivemarkerzaibetterwithatelic,activityverbsthanwithtelicverbs,and,conversely,theperfectivemarker-lebet-terwithtelicverbsthanwithatelicverbs.Childrenalsoproducedtheimperfective

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aspectmarkerszai and -nemostlywithatelic verbs and rarelywith telic verbs,whereastheyproducedtheperfectivemarker-lemorefrequentlywithtelicverbsthanwithatelicverbs.

WhiletheChinesedatawouldseemtobenosurpriseascomparedwithdatafromEnglishandotherlanguages,therewereatleasttwoimportantfeaturesthatmakethemspecial.

1.Unlike English and other Indo-European languages, Mandarin Chi-nese has a special set of state verbs, the posture verbs, that cannottake the progressive marker zai (e.g., zhan ‘stand,’ zuo ‘sit,’ and tang‘lie’). Recall that Brown (1973) observed that children donot overgen-eralize -ing to stateverbs inEnglish (postureverbsarenot stateverbsin English as they are in Chinese), and Bickerton interpreted this asindicative of children’s innate sensitivity to the state-process distinc-tion. In child Mandarin, however, children do overgeneralize the pro-gressivemarkerzaitoposturestateverbsasrevealedinourproductionexperiment,andsucherrorsarealsoobservedinchildren’sspontaneousspeech.Twolessonscanbedrawnfromthisfinding.

a. First,thestate-processdistinctionisnotauniversalsemanticprimi-tiveasdictatedbythelanguagebioprogramhypothesis,anddifferentlanguages may define the distinction differently. For example, pos-tureverbsarestateverbsinChinesebutnotinEnglish(inChinese*ta zai zuo isungrammaticalwhile inEnglishhe is sitting there isperfectlyacceptable).TheEnglish-speakingchildcanuse-ingwithsitandstand to indicate thedynamicaspectof theaction, treatingsittingandstandingasevents,whiletheChinese-speakingchilduseszaiwithzuo andzhan inChinese, treating themas states.Comrie(1976) discussed this phenomenon in connection with perceptionverbs(e.g.,see, hear):Englishtreatsperceptionverbsasstativeandthese verbs consequently do not accept progressive marking, whilePortuguesetreatsthemasdynamicsotheycannaturallyacceptpro-gressivemarking.

b. Even if the state-process distinction is neatly defined by language,childrenmaynotobservethedistinctionintheiruseoftense-aspectmarkers.ThisisconsistentwithShirai’s(1994)analysisthatshowsthateveninEnglish,childrendooccasionallygeneralize-ingtostateverbsdependingonthetypeofinputtheyreceivefrommaternalspeech.

2.AsecondimportantfeatureisthatChinesehasaspecialsetofresultativeverb compounds (RVCs), such as ti-dao ‘kick-down,’ qie-kai ‘cut-open,’orreng-diao‘throwaway,’whicharetelicverbsthatencodeaclearendresult(Klein,Li,&Hendriks,2000;Smith,1997;Tai,1984).Theseverbsaccept only perfective marking, not progressive marking in Chinese,unlikeresultativeverbsinEnglish,whichcaneasilytaketheprogressive -ing (andsotheresultative -ingcombinationsarefoundinchildEnglish).Inour studychildrenrarelyused theprogressiveaspectwith theRVCverbs,showingthattheyrespectedtheincompatibilitybetweenaspectual

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imperfectivityandlexicalresultativityfromearlyon.Interestingly,theseRVCverbscorrespondtoasetofverbsthat“nameeventsofsuchbriefdurationthat theevent isalmostcertaintohaveendedbeforeonecanspeak” (Brown, 1973, p. 334)—i.e., verbs with which young English-speakingchildrenonlyuse thepast-tense forms.Bickertonwouldhavetaken theexclusiveperfectivemarkingofRVCsasan indicationof thepunctual–nonpunctualdistinction,justashedidwiththeEnglishdata.Butthecrucialevidencefromsemelfactiveverbs(Smith,1997;e.g.,tiao‘jump,’qiao‘knock,’ti‘kick,’whichhavethepunctualitybutnottheresul-tativityfeature)indicatedthatitwasnotpunctualitybutresultativitythatchildrenpayattentionto(Li&Bowerman,1998):Withthesesemelfactiveverbs,Chinese-speakingchildrendousetheprogressivemarkerzai.

Thelanguage-specificpropertieswithRVCverbsinChinesenotonlyinfluence the specificpatternsof children’s acquisitionof aspectmark-ers with these verbs, but also speak to several general crosslinguisticdifferences.

a. First,becausetheadultlanguagehasaconstraintonthecombinationofRVCswiththeprogressivemarker,thepictureoflexicalaspectandgrammaticalmorphologyappearsmuchmoreabsolutethanprobabi-listic,ascomparedwiththatinotherlanguages.

b. Second, as compared with children learning other languages, Chi-nese-speaking children display no developmental transition fromprototypical associations (e.g., result verbs with perfective aspect)to nonprototypical associations (e.g., result verbs with imperfectiveaspect). The prototype hypothesis predicts such transitions as thechild’slinguisticexperienceenriches(Shirai&Andersen,1995).Now,giventhattheprototypicalassociationbetweenRVCsandperfectivemarking is preserved in the adult language, there is no reason forchildren toretreat fromthisassociationandmovetononprototypi-calones,astheywouldinotherlanguageswheretheassociationsaremoreflexible.

c. Finally,thecombinatorialconstraintsinadultChinesemightreflectageneralconstrainton linguisticcommunicationandeventcharac-teristics.TheprototypicalassociationbetweenRVCsandperfectiveaspect reflectsoneof themostnatural combinationsbetweenverbsemantics and grammatical morphology. In Comrie’s (1976) view,certainaspectmorphemescombinemostnaturallywithcertainverbtypesbutnotothers(the“naturalnessofcombination”principle).AsBrown(1973)hadalsopointedout,eventsdenotedbyverbslikedrop, fall,and crash(eventsexpressedbyRVCsinChinese)occurinstanta-neously;anycommentonthemwillhaveoccurredaftertheirending.Thus,itisonlynaturaltodescribetheseeventswithperfectiveaspect(i.e.,tocombine-lebutnotzaiwithRVCsinChinese).

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The above crosslinguistic analyses, along with results from studies of otherlanguagesindicatethatchildrenarehighlysensitivetolanguage-specificproper-tiesoftheinput,andarecapableofextractingsystematicpatternsfromtheinput(seeLi&Bowerman,1998;Li&Shirai,2000fordetaileddiscussions).Giventhis,wedonotneedtopresuppose,asnativistsdo,thatcertainsemanticcategoriesareinnatelyspecifiedandbroughttobearonthe languageacquisitiontask.Rather,semantic categories can emerge from the learning of the statistical regularitiesintheinputlanguage.Butwhatcapacityallowsthechildtocarryoutthepatternextractioninlearning?Putsimply,ifinputisimportanttolanguageacquisition,inwhichwaydoesitplayacausalrole?Ireferredearliertoafunctional,input-based,andprobabilisticlearningmechanismthatcouldberesponsiblefortheacquisitiontask.Inthenextsection,Idiscusshowsuchalearningmechanismcouldworkintermsoftheoperationsofconnectionistnetworks.

the acquisition of a cryPtotyPe

Whorf’s Cryptotypes

Inoneoftheclassicpapersofearlycognitivelinguistics,Whorf(1956)presentedthe following puzzle. In English, the reversative prefix un- can be used pro-ductivelywithmanyverbstoindicatethereversalofanaction,asin uncoil, uncover, undress, unfasten, unfold, unlock,or untie (themeaningofreversalcanalsobeexpressedbyotherprefixessuchasdis-orde-inEnglish).However,manyseem-inglyparallelformsarenotallowed,suchas*unbury, *unfill, *ungrip, *unhang, *unpress, *unspill, or *unsqueeze. Whyisun-prefixationallowedwithsomeverbsbutnotothers?

Whorf’spuzzlewasdeeperthanthissimplediscrepancy.Henotedthatun-isaproductivedevice inEnglishmorphology,andthatdespitethedifficulties lin-guistshaveincharacterizingitsuse,nativespeakersdohaveanintuitivefeelforwhich verbs canbeprefixedwithun- andwhich cannot.Hepresented the fol-lowingthoughtexperiment:Ifanewverbflimmickiscoinedtomean“totieatincan to something,” thennative speakersarewilling toaccept thesentence“Heunflimmickedthedog”asexpressingthereversalofthe“flimmicking”action; ifflimmickmeans“totakeapart,”thentheywillnotaccept“Heunflimmickedthepuzzle”asdescribingtheactofputtingapuzzlebacktogether.Theconstrainedproductivityofun-promptedWhorftoconjecturethatthereissomeunderlyingorcovertsemanticcategory,acryptotype,thatgovernstheproductiveuseofun-.AccordingtoWhorf,cryptotypesonlymaketheirpresenceknownbytherestric-tionstheyplaceonthepossiblecombinationsofovertforms.Whentheovertprefixun-iscombinedwiththeovertverbtie,thereisacovertcryptotypethatlicensesthecombinationuntie.This samecryptotypealsoblocksacombinationsuchas*unmove.

ToWhorf,thedeeppuzzlewasthatwhiletheuseoftheprefixun-isproduc-tive, thecryptotypethatgoverns itsproductivity isunclear:“Wehavenosingleword in the language which can give us a proper clue to this meaning or into

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whichwecancompressthismeaning;hencethemeaningissubtle,intangible,asistypicalofcryptotypicmeanings” (Whorf,1956,p.71).Herewehaveacase forwhich languageuse isconditionedinaprincipledway,buttheprinciplesthem-selvesarenotclearlysubjecttolinguisticanalysis.AtsomepointWhorfdidpro-posethattherewas“acovering,enclosing,andsurface-attachingmeaning”thatcouldbe thebasisof thecryptotype forun-.But thisdefinitionwasstill ratherelusive, as it was not clear whether we should view this as a single unit, threeseparatemeanings,oraclusterofrelatedmeanings.Subsequentanalysesalsosug-gestedtheexistenceofotherimportantaspectsintheuseofun-(Clark,Carpenter,&Just,1995;Marchand,1969)—forexample,thatun-takeschangeofstateverbs,andthattheseverbsinvolveadirectobject(sointransitiveverbssuchas*unswim,*unplay,and*unsnoreareill-formed).

Cryptotypes in Child Language

Whorf’sdiscussionshowsclearlyhowacryptotypeisimportanttotheuseofun-inadultEnglish.Bowermanwasthefirsttopointoutthatthenotionofacryptotypemightalsoplayanimportantroleinchildlanguageacquisition.

AccordingtoBowerman(1982,1983,1988),children’sacquisitionofun-tendsto follow a U-shaped pattern, a pattern found in other areas of morphologicalacquisition as well, such as the acquisition of the English past tense. Childreninitiallyproduceun-verbsinappropriatecontexts,treatingun-anditsbaseverbasanunanalyzedwhole.Thisinitialstageofrotecontrolisanalogoustothechild’ssayingwentwithoutrealizingthatitisthepast-tenseformofgo.

Productivity of un- comes at the next stage, when children realize that un-is independentof theverb in indicating the reversalof anaction.This stage intheacquisitionofun-beginsataroundage3.Atthisstage,childrenstarttopro-duce overgeneralizations in spontaneous speech such as *unarrange, *unbreak, *unblow, *unbury, *unget, *unhang, *unhate, *unopen, *unpress, *unspill, *unsqueeze, or *untake (Bowerman,1982,1983).SuchovergeneralizationshavealsobeendocumentedbyClarketal.(1995)inbothexperimentalandnaturalisticdatawithchildrenfromages3to5, andwerefoundintheCHILDESdatabase(Li&MacWhinney,1996).Duringthisperiod,childrenalsomakecertain“over-marking”errors.Forexample,thechildmightsay“unopen”butreallyonlymeantosayopen,or“unloosen”tomeanloosen.Insuchcases,thebaseformsopenandloosenhaveareversativemeaningthattriggerstheattachmentoftheprefix,evenwhentheactionofthebasemeaningisnotactuallybeingreversed.Theseerrorsareanalogoustoredundantpast-tensemarkingasin*camedandredundantpluralmarkingasin*feets.Finally,atathirdstage,overgeneralizationandovermarkingerrorsbothdisappear.

Acritical factor that leads tochildren’sovergeneralizationofun-at thesec-ondstageofthisU-shapedlearning,accordingtoBowerman(1982),isthatchil-drenhavesomehowdiscoveredtheinherentmeaningcommontotheverbsthattakeun-.Inotherwords,theyhavedevelopedwhatWhorfcalledthenative“in-tuitivefeel”forEnglishverbswithrespecttowhethertheyareun-able:Theyhaveacquiredtherepresentationfortheun-cryptotype.Examiningspeecherrorsfrom

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alongitudinaldataset,Bowermanfurthersuggestedtwopossiblerolesforacrypto-type to influence the learning of un-: (1) “Generalization via cryptotype”: Thecryptotypetriggersmorphologicalproductivityandleadstoovergeneralizations.Thisoccursbecause,oncechildrenhaveidentifiedthecryptotype,theywillover-generalizeun-toallverbsthatfitthecryptotype,irrespectiveofwhethertheadultlanguageactuallyallowsun-inthesecases(e.g.,squeezefitsinthecryptotypejustasclenchdoes,sosay“unsqueeze”).(2)“Recoveryviacryptotype”:Thecryptotypehelpsthechildtoovercomeovergeneralizationsmadeatanearlierstage,iftheseovergeneralizationsinvolveverbsthatfalloutsidethecryptotype(e.g.,hatedoesnotfitinthecryptotypicmeaning,sostopsaying“unhate”).

While Bowerman correctly identified the important role of cryptotypes inchildlanguageacquisition,oneissueremainsunclear.AccordingtoWhorf,cryp-totypesarecovertsemanticcategoriesthatareelusive,subtle,andintangible,andlinguistshaveahardtimetopindowntheirprecisemeanings.Howthencouldthechildextractthecryptotypeanduseitasabasisformorphologicalgeneralizationorrecovery,iftheun-cryptotypeisintangibleeventolinguistslikeWhorf?

Theanswers to thisquestionhavesignificant implications for the issuecon-cerningwhetherlanguageacquisitionisarule-basedprocessorastatisticallearn-ingprocess(Pinker,1991;Pinker&Prince,1988;Rumelhart&McClelland,1986;Seidenberg,1997).UsingtheacquisitionoftheEnglishpasttenseasanexample,researchershavedebatedwhethertheacquisitionprocessshouldbecharacterizedbydualmechanisms(aninternalizedlinguisticruleforregularsandanassocia-tivelearningprocessforirregulars)orbyasinglemechanism(connectionistlearn-ingwithdistributedknowledgerepresentationandadaptiveconnectionweights).Cryptotypesprovideanothertestcaseforthisdebate.Ifthelearningofun-anditsgoverningcryptotype is aprocessof ruleextraction (category identification),thentheovergeneralizationerrorswithun-arerule-governed,inthesamewayasaretheovergeneralizationerrorswith-ed.However,ifthelearningofun-andthecryptotypeisaconnectioniststatisticalprocess,thentheovergeneralizationerrorsareduetothesystem’scomputationofrelevantsemanticfeatures,lexicalforms,andprefixationpatternsintheform-meaningmappingprocess.

A Connectionist Model of the un- Cryptotype

Connectionistnetworksaredynamiclearningsystemsthatexploretheregulari-tiesintheinput-outputmappingprocessesthroughtheadjustmentofconnectionweightsandtheactivationofprocessingunits.Toanswertheabovequestions,Li(1993)andLiandMacWhinney(1996)builtaconnectionistmodel to learnthereversativecryptotypeassociatedwiththeuseofun-.Ourmodelwasastandardfeedforwardnetworkconsistingofthreelayersofprocessingunits(input,output,and hidden units). The network was trained with the backpropagation learningalgorithm(Rumelhart,Hinton,&Williams,1986).Inoursimulations,weusedasinputtoournetwork49verbsthatcantakeun-,19verbsthatcantakethecompet-ingprefixdis-,and92randomlyselectedverbsthatcantakeneitherprefix.Eachverbwasrepresentedbyasemanticpattern(avector)thatconsistedof20semanticfeaturesthatwereselectedinanattempttocapturebasiclinguisticandfunctional

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propertiesinherentinthesemanticrangeoftheseverbs(seeLi,1993fordetails).Thetaskofthenetworkwastotakethesemanticvectorsofverbsasinputandmapthemontodifferentprefixationpatternsintheoutput:un-,dis-,orzero.

Toanalyzehowournetworkdevelopedinternalrepresentations,weusedthehierarchicalclusteranalysis(Elman,1990)toprobeintotheactivationofthehid-denunits at variouspoints in timeduring thenetwork’s learning.Thenetworkreceivedinputverbsonebyoneanddeterminedifeachverbshouldbemappedtoun-,dis-, or noprefix. Each time the network received some feedback as towhetherthemappingwascorrect.Afterlearning,theaveragedrepresentationsoftheverbsatthehidden-unitlevelwereclustered.Figure9.1presentsasnapshotofthenetwork’shidden-unitrepresentationswhenthenetworkhadlearned50verbscumulatively.Thisgraphshows twogeneralclusters:one for theun-verbs,andtheotherforthezeroverbs,verbsthatcannotbeprefixedwithun-ordis-.Ourinterpretationoftheseclustersisthatthenetworkhasacquiredadistinctrepre-sentation for theun-verbsby identifying the relevant semantic features sharedbytheseverbs,andthisrepresentationcorrespondsmostclosely toWhorf’sun-cryptotype.Forexample,mostoftheverbsintheun-clustersharethemeaningofbindingor locking:bind, chain, fasten, hitch, hook, latch,etc.Notallmean-ingsrelevanttothecryptotypeareidentifiedatthisearlystageinFigure9.1.Forexample,theverbsravelandcoilwerecorrectlycategorizedintotheun-cluster,buttheverbrollwasincorrectlyclassifiedintothezero-verbcluster.

Notethatournetworkreceivednodiscretelabelofthesemanticcategoryasso-ciatedwithun-(thelabelsinFigure9.1weretheresimplytoindicatewhichprefixtheverbissupposedtotake),norwasthereasinglecategoricalfeaturethattellswhichverbshouldtakewhichprefix(henceWhorf’sproblem).Allthatthenetworkreceivedwasthesemanticfeatureinformationdistributedacrossinputpatterns.Over time,however, thenetworkwasable to identify the regularities thatholdbetweendistributedsemanticpatternsandpatternsofprefixation,anddevelopedastructuredrepresentationthatcorrespondedtoWhorf’scryptotype.Thecrypto-typerepresentationsinthenetworkthusemergedasafunctionofthenetwork’slearningoftheassociationbetweenformandmeaning,notasapropertythatwasgivenadhoctothenetworkbythemodeler.

Our simulation resultsprovide support forBowerman’s (1982)hypothesizedroleofcryptotypesininducingovergeneralizations.InBowerman’sdata,mostoftheerrorsfellwithintherealmofWhorf’scryptotype(e.g.,squeezeissimilartoclench,sosqueezecanalsotakeun-).InClarketal.’s(1995)data,thechild’sinno-vativeusesofun-alsorespectedthecryptotypefromthebeginning:Theymatchedthesemanticcharacteristicsofthecryptotypeevenwhentheconventionalmean-ingsoftheverbintheadultlanguagedidnot.Forexample,*unbuildwasusedtodescribetheactionofdetachingLego-blocks,*undisappearwasusedtodescribethereleasingofthechild’sthumbsfrominsidehisfists.3Oursimulationsalsoindi-catehowthenetworkgeneralizedun-onthebasisofthecryptotype.InFigure9.1,

3 Diarynotesofmydaughter’s speechalso includesimilaruses: “unbuild thesnowman”wasusedtorefertothedetachmentofdecorativepiecesfromthesnowman,and“untape”torefertotheremovalofscotchtapefromapieceofpaper(ageofchildwas6;9).

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thenetworkincludedbothholdandmount(whichshouldnottakeun-)intheun-category.Theseverbswereincludedapparentlybecauseoftheirsemanticsimilar-itywithmembersofthecryptotype(e.g.,bind, chain, fasten, hitch, hook, latch).Examiningholdandmountinthenetworkoutputpatterns,wefoundthatun-wasovergeneralizedtotheseverbsattheendofthe50-wordstage.Similarerrorspro-ducedbythenetworkincluded *unbury, *uncapture, *unfill, *unfreeze, *ungrip, *unhold, *unloosen, *unmelt, *unpeel,*unplant, *unpress, *unsplit, *unsqueeze, *unstrip, *untack, and *untighten. In contrast to these cases, thenetworkpro-ducedfewerrorsthatconstituteflagrantviolationsofthecryptotype;hencetherewasnobasisforthemodeltoverifyBowerman’s(1982)secondhypothesisthatthe

reach ZERO allow ZERO charge DIS

use ZERO show ZERO look ZERO

work ZERO go ZERO

start ZERO like ZERO

hear ZERO talk ZERO

see ZERO say ZERO tell ZERO ask ZERO

give ZERO run ZERO walk ZERO

take ZERO get ZERO come ZERO

help ZERO wait ZERO

believe ZERO call ZERO

keep ZERO roll UN

stop ZERO turn ZERO

learn ZERO make ZERO

put ZERO chain UN

braid UN latch UN fasten UN bind UN

hitch UN cork UN plug UN

coil UN lace UN

mount DIS hook UN wind UN

hold ZERO ravel UN

connect DIS arrange DIS

Figure �.1 Ahierarchicalclusteranalysisofthenetwork’shidden-unitrepresentationsatthe50-wordstage.ThesimilarityfunctionisdeterminedbytheEuclideandistancesoftheitemsontheclustertree.Thecapitalizedmarkeraftereachverbindicatestheprefixationpatternoftheverb,butthenetworkdidnotreceivetheselabelsduringtraining.

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cryptotypecanserve toeliminateovergeneralizations.Thus, inoursimulations,overgeneralizationswenthand-in-handwith thenetwork’s representationof thecryptotype. This is clearly another case (in addition to tense-aspect acquisitiondiscussedearlier)wheretheunderstandingofmorphologicalbehaviorrequirestheexaminationofthesemanticstructureofthewordswithwhichthegrammaticalmorphemesareused.

Implications of the Connectionist Model

A connectionist perspective as described above provides us with a natural wayofcapturingWhorf’sinsightsintocryptotypesaswellasaformalmechanismtomimictheiracquisition.Inourview,therecanbeseveral“mini-cryptotypes,”eachofwhichrepresentssomeunderlyingsemanticfeaturesthatworktogetherasinter-active“gangs”(McClelland&Rumelhart,1981).Forexample,“enclosing”verbs,suchascoil, curl, fold, reel, roll, screw, twist, and wind,allseemtoshareamean-ingofcircularmovement.Similarly,“attaching”verbs,suchasclasp, fasten, hook, link, plug, and tie,allinvolvehandmovements.Stillanotherclusterofverbssuchascover, dress, mask, pack, veil, and wrapformsthe“covering”mini-cryptotype.Thesemini-cryptotypesormini-gangsinteractcollaborativelytosupporttheform-ationofthelargercryptotypethatlicensestheuseofun-intermsofsummedacti-vationinaconnectionistnetwork.

Notethatthemini-gangscollaborateratherthancompetebecausetheirmem-bersarecloselyrelatedbytheoverlapofsemanticfeatures.Forexample,theverbscrew inunscrew maybeviewedashavingbothameaningofcircularmovementandameaningofbindingorlocking,zipinunzipmaybeviewedassharingboththe“binding/locking”meaningandthe“covering”meaning,andbothscrewandzip involvehandmovements.Moreover,a featuremayalsovary in thestrengthwithwhich it is represented indifferentverbs.Forexample,circularmovementisanessentialpartofthemeaningofscrew,butlesssoforwrap(onecanwrapasmallballwithatissuepaperwithoutturningaroundeithertheobjectorthewrap-pingpaper).Inthisway,themeaningoftheun-cryptotypeconstitutesacomplexsemanticnetwork,inwhichverbscandifferin(1)howmanyfeaturesarerelevanttoeachverb,(2)howstronglyeachfeatureisactivatedintherepresentation,and(3)howstronglyfeaturesoverlapwitheachotheracrosscategorymembership(alltrue with the input to our network). It is these complex relationships that giverisetothemeaningofthecryptotype.Itisalsothesecomplexrelationshipsthatgavetroubletotraditionalrule-basedlinguisticanalyses(henceWhorf’sstatementregardingtheelusiveandintangiblecharacterofitssemanticcontent).

Whilethesecomplexstructuralpropertiesrenderasymbolicanalysislessef-fectiveifnotimpossible,theyareaccessibletonativeintuition,accordingtoWhorf.Nativeintuitionsareclearlyimplicitrepresentationsofthecomplexsemanticrela-tionships among verbs and morphological markers, and connectionist networksprovide a formalmechanism to capture these intuitions throughweightedcon-nections,distributedrepresentations,andstatisticallearning.Inoursimulations,thenetworkwasabletoexploreandidentifytheserelationshipsthroughtheinput-outputmappingprocess.Thenetworkcomputedthecombinatorialconstraintson

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theco-occurrencesoftheprefixun-andthedistributedsemanticfeaturesofverbs.Theresultofthisprocesswasthatnewrepresentationsthatdevelopedatthehid-denlayerofthenetworkdifferedfromeachotherinthenumberoffeaturestheysharedandinthestrengthswithwhichthefeatureswereactivated,asrevealedinFigure9.1.

Our network’s behavior suggests that children, in learning to use the re-versativeprefixun-,mayalsoabstractthesemanticregularitiesfromtheun-verbsthroughcombinatoryrestrictionsthattheprefixplacesontheseverbs.Inthisper-spective,children’slearningofun-isnotthelearningofasymbolicrulefortheuseoftheprefixwithaclassofverbs,butrathertheaccumulationoftheconnectionstrength that holds between a particular prefix and a set of weighted semanticfeaturesinverbs.Thelearnergroupstogetherthoseverbsthatsharethelargestnumberoffeaturesandtakethesameprefixationpatterns.Overtime,theverbsgradually form coherent classes, with respect to both meaning and prefixation.Thislearningprocesscanbestbedescribedasastatisticalprocedureinwhichthechildimplicitlytalliesandregistersthefrequenciesofco-occurrencesofdistrib-utedsemanticfeatures,lexicalitems,andmorphologicalmarkers.Notsurprisingly,thesameprocesswouldapplyequallywelltotheacquisitionoflexicalaspectcat-egoriesandtense-aspectmorphology(seeLi&Shirai,2000forananalysis;Zhao&Li,inpress,forarecentconnectionistformalization).

Theformationofacryptotypeasinthecaseofun-isnotanisolatedlinguisticphenomenon.Itcanbeobservedinmanydomainsinwhichtheproblemisprimar-ilysemanticallymotivated.Forexample,theuseofclassifiersisoneofthehardestproblemsforsecondlanguagelearnersofChinese,aswellasamajorchallengeforlinguisticdescription(cf.Chao,1968;Lakoff,1987).EachnouninChinesehastobeprecededbyaclassifierthatcategorizestheobjectofthenounintermsofitsshape,orientation,dimension,texture,countability,andanimacy.Theappropriateuseofclassifiersbynativespeakersislargelyautomatic,yetitisdifficultforlin-guiststocomeupwithacleardescriptionofrulesthatgoverntheiruse(Erbaugh,2006).Wecanprobablyassumethatnativespeakershaveacquiredarepresenta-tion that iscryptotype-like, inwhichmultiple semantic featuresconnected inanetworkjointlysupporttheuseofclassifiers.

Inshort,ourconnectionistmodelprovidessignificantinsightsintotheunder-standing of Whorf’s cryptotype—in particular, the understanding of complexstructuralrelationshipsinlexicalsemanticsandtheroleofastructuredsemanticrepresentation in theovergeneralizationofmorphology in language acquisition.Ourmodeldemonstrateshowcryptotyperepresentationscanemergeinconnec-tionistnetworksasanaturalresultofthemeaning-formmappingprocesses.Thesefindingshelpustobetterunderstandtheprocessesunderlyingimportantphenom-enasuchasU-shapedbehaviorinlanguageacquisition.

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LexicaL organization in DeveLoPment

Lexical Categories and Lexical Organization

Thepreviousdiscussionexaminedtwomorphologicalcases,tense-aspectsuffixesandreversativeprefixes,andinbothcasesourfocushasbeenontheemergenceof thecorresponding lexical semanticcategoriesassociatedwith theusesof themorphology.Butlexicalcategoriesdevelopovertimeinchildren,andthestruc-turalrelationshipsbetweenwordscanchangeaslearningprogresses.Inaseminalpaperontheacquisitionofwordmeaning,Bowerman(1978)discussedtheissueofsemanticorganizationinchildlanguage(theessenceoftheissuewasreflectedclearlyinthetitle:“SystematizingSemanticKnowledge:ChangesoverTimeintheChild’sOrganizationofWordMeaning”).Bowerman’sdiscussionfocusedonreor-ganization(seealsoBowerman,1982):Reorganizationinthechild’smentallexiconoccurs when word pairs that are apparently not initially recognized as seman-ticallyrelatedmoveclosertogether inmeaning.Thereorganization isoftensig-naledbyspeecherrors,wheresemanticallysimilarwordscompeteforselectioninproduction in particular speech contexts—for example, substitutions of put forgive(“putmethebread”)orfallfordrop(“Ifalledit”).

Suchareorganizationviewhasimportantimplicationsforcurrenttheoriesofthe mental lexicon. It suggests that we need to take a developmental, dynamicperspectiveonthelexicalsystem(withrespecttobothsemanticandgrammaticalpropertiesofthelexicon).Apopulartrendincognitiveneurosciencetodayistheattempt to localize various “lexiconmodules” in thebrain.Usingneuroimagingtechniques,researchershaveidentifiedspecificareasinthebrainthatrespondtodifferentlexicalcategories,suchasnounsandverbs,concretewordsandabstractwords, content words and function words, and words for animals, persons, andtools (e.g., Caramazza & Hillis, 1991; Damasio, Grabowski, Tranel, Hichwa, &Damasio,1996,Pulvermueller,1999).Theunderlyinghypothesisisthatdifferentlinguisticcategoriesaresubservedbydifferentneuralsubstrates,thussupportingthemodularityofthemind/brainhypothesis(Fodor,1983).Neuroscienceresearchinthisdirection,alongwithitscompaniontheoryofmodularityinpsychologyandphilosophy, echoes a long historical tradition in brain localization (Bates, 1999;Gardner,1986;Uttal,2001).Afundamentalproblemwiththisapproach,however,isthatitignoresthefactthatlexicalmodules,iftheyexist,neednotbeinthebrainfromthebeginning.Byassigninganundueweighttoastaticstructurethatis“inthere,”itfailstoaddresstheoriginoftherepresentationoflinguisticcategoriesinthebrain.

Taking a developmental, dynamic perspective on this issue, research in mylabattemptsto(1)identifycrosslinguisticdifferencesinlexicalorganizationand,(2)capturestructured, localized,representationsof lexicalcategoriesasa func-tionoflearninganddevelopment.First,toidentifycrosslinguisticdifferences,inarecentneuroimagingstudywefoundthatMandarinspeakersshownodistinctneuralresponsestonounsandverbsinChinese(boththefrontalandthetemporalregionswereactivatedbybothnounsandverbs),incontrasttofindingsthatdis-tinctcorticalregionsareinvolvedwithnounsversusverbsinotherlanguages(Li,

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Jin,&Tan,2004).Second,assumingthatthesedistinctlexicalmodulesdoexistinotherlanguages,wehaveattemptedtodescribehowtheycouldemergefromthelearner’sorganizationandreorganizationinresponsetocharacteristicsofthelearningenvironment, inbothmonolingualandbilingualcontexts (seeHernan-dez,Li,&MacWhinney2005, forareview;Chanetal., inpress for theneuralrepresentationofnounsandverbsinbilinguals).Tothisend,wehavedevelopedDevLex,aself-organizingconnectionistmodelofthedevelopmentofthelexicon.Ourmodelisdesignedtoachievetwogoalsatthesametime:tomodeltheacquisi-tionoflexicalorganizationasadevelopmentalprocessinchildlanguage,andtoexaminetheemergenceofcategoricalrepresentationsinournetworkasapossibleexplanationofneuralrepresentations.

The DevLex Model

Currentconnectionistmodelsoflanguageacquisitionhavefocusedontheexam-inationofphonologicalpatternsratherthanmeaningstructureofwords,ontheuseofartificiallygeneratedinputratherthanrealisticlinguisticdata,andontheuseofsupervisedlearningalgorithmsratherthanunsupervisedlearning(seeLi,2003fordiscussion).Theselimitationsledustoconsideramodelthatdealswiththe acquisition of semantics, with exposure to realistic child-directed parentalinput,andinself-organizingneuralnetworkswithunsupervisedlearning.Ourpri-maryconcernhasbeenthedevelopmentofapsycholinguisticallyplausiblemodelthatcanhandlerealisticlinguisticdatainthedomainoflexicalacquisition.

Like most previous connectionist models of language acquisition, the un-modelIpresentedearlierwasbasedontheback-propagationlearningalgorithm.Althoughsignificantprogresshasbeenmadewithmodelsbasedonback-propaga-tion,suchmodelshaveseriouslimitationswithregardtotheirneuralandpsycho-logicalplausibilityasmodelsofhumanlearning.Inparticular,“back-propagationnetworks”areknowntosufferfromcatastrophicforgetting(inabilitytorememberoldinformationwithnewlearning),fromscalability(inabilitytohandlerealistic,large-scale problems), and above all, from error-driven learning, which adjustsweightsaccordingtotheerrorsignalsfromthediscrepancybetweendesiredandactual outputs. Some of these problems become most transparent in the con-textoflanguageacquisition.Forexample,itwouldtakeastrongargumentifoneclaimedthatthefeedbackprocessusedinback-propagationresemblesprocessesofchildlanguagelearning.Childrendonotreceiveconstantfeedbackaboutwhatis incorrect in their speech, nor do they get the kind of error corrections on aword-by-wordbasisthatisprovidedtothenetwork(cf.the“nonegativeevidenceproblem”inlanguageacquisition;Baker,1979;Bowerman,1988).Instead,muchoflanguageacquisitioninthenaturalsetting,especiallytheorganizationofthemen-tallexicon,isaself-organizingprocessthatproceedswithoutexplicitteaching.

TheDevLexmodel(Li,Farkas,&MacWhinney,2004;Li,Zhao,&MacWhin-ney, 2007) is a type of self-organizing neural network. In contrast to networkswithback-propagationlearning,self-organizingnetworksdonotrequirethepres-enceofanexplicit teaching signal; learning is achievedentirelyby the system’sself-organization in response to the input. Self-organization in these networks

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typicallyoccursinatwo-dimensionalmap—aself-organizingmap(SOM;Koho-nen,1982,2001).Eachprocessingunitinthenetworkisalocationonthemapthatcanuniquelyrepresentoneorseveralinputpatterns.Atthebeginningoflearning,aninputpatternrandomlyactivatesasetofunitsthatsurroundthebestmatchingunit(the“winner”).Oncetheseunitsbecomeactiveinresponsetoagiveninput,theweightsofthewinnerandthoseofitsneighboringunitsareadjustedsuchthattheybecomemoresimilartotheinput,andtheseunitswillthereforerespondtothe sameor similar inputsmore strongly thenext time.Thisprocess continuesuntilalltheinputscanelicitspecificresponsepatternsinthenetwork.Asaresultofthisself-organizingprocess,thenetworkgraduallydevelopsconcentratedareasofunitsonthemap(the“activitybubbles”)thatcaptureinputsimilarities,andthestatisticalstructuresimplicitinthehigh-dimensionalspaceoftheinputarepre-servedonthe2-Dspaceinthemap.

Theself-organizingprocessand its representationhaveclear implications forlanguageacquisition:Theformationofactivitybubblesmaycapturecriticalpro-cessesfortheemergenceofsemanticcategoriesinchildren’sacquisitionofthelex-icon.Inparticular,thenetworkorganizesinformationfirstinlargeareasofthemapandgraduallyzerosinontosmallerareas;thiszeroing-inisaprocessfromdiffusepatternstofocusedones,asafunctionofthenetwork’scontinuousadaptationtotheinputstructure.Thisprocessallowsustomodeltheemergenceoflinguisticcatego-riesasagradualprocessoflexicaldevelopment.Italsohasthepotentialofexplain-inglanguagedisordersthatresultfromthebreakdownoffocusedactivationortheinabilitytoformfocusedrepresentations(Miikkulainen,1997;Spitzer,1999).

Figure 9.2 presents a diagrammatic sketch of the DevLex model (for tech-nicaldetails,seeFarkas&Li,2002a;Li,Farkas,&MacWhinney,2004;seealsoLi,Zhao,&MacWhinney,2007forDevLex-II,anextensionoftheoriginalDev-Lexmodel).Itconsistsofalexical(phonological)mapthatprocessesphonologicalinformationofwords(PMAP),andagrowingsemanticmapthatprocessesseman-ticinformation(GSM).AnimportantfeatureofthemodelisthattheGSMnet-workcanautomaticallyextractsemanticandgrammaticalfeaturesofeachwordbycomputingthetransitionalprobabilitiesofco-occurringwordsinspeechcontext(Farkas&Li,2001).ThesizeofGSMcanalsogrowalongwithagrowinglexicon

self–organization

Hebbian learning

self–organization

word form

word meaning

PMAP

phonological map

GSMsemantic map

Figure �.2 DevLex:Aself-organizingneuralnetworkmodelofthedevelopmentofthelexicon.

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inincrementalvocabularylearning(Farkas&Li,2002b;Lietal.,2004).GSMisconnectedtoPMAPviaHebbianlearning(Hebb,1949),accordingtowhichtheassociativestrengthbetweentwounitsisincreasediftheunitsarebothactiveatthesametime.Upontrainingofthenetwork,aphonologicalrepresentationofthewordispresentedtothenetwork,andsimultaneously,thesemanticrepresentationofthesamewordisalsopresentedtothenetwork.Throughself-organizationthenetworkformsanactivityonthephonologicalmapinresponsetothephonologicalinput,andanactivityonthesemanticmapinresponsetothesemanticinput.Atthesametime,throughHebbianlearningthenetworkformsassociationsbetweenthetwomapsforalltheactiveunitsthatrespondtotheinput.ThecombinationofHebbian learningwith self-organization in thiswaycanaccount for thepro-cessofhowthelearnerestablishesrelationshipsbetweensemanticfeatures,lexicalforms,andmorphologicalmarkers,onthebasisofhowoftentheyco-occurandhowstronglytheyarecoactivatedintherepresentation.

DevLexbasedontheabovecharacteristics(1)allowsustotrackthedevelop-mentofthelexiconclearlyasanemergentpropertyinthenetwork’sself-organiza-tion(fromdiffusetofocusedpatternsorfromincompletetocompleteassociativelinks),(2)allowsustomodelone-to-manyormany-to-manyassociationsbetweenformsandmeaningsinthedevelopmentofthelexiconandmorphology,and(3)providesuswithasetofbiologicallyplausibleandcomputationallyrelevantprin-ciples to study language acquisition—biologically plausible because the humancerebralcortexcanbeconsideredasessentiallyaself-organizingmap(ormultiplemaps)thatcompressesinformationona2-Dspace(Kohonen,2001;Spitzer,1999),andcomputationallyrelevantbecauselanguageacquisitioninthenaturalsetting(especiallyorganizationandreorganizationofthelexicon)islargelyaself-organiz-ingprocess(MacWhinney,1998,2001).Inwhatfollows,Ifocusonthemodel’sfirstproperty,thatis,howitisabletomodelthedevelopmentoflexicalorganization.Otheraspectsofthemodel,includingsimulationsoftheacquisitionofcryptotypesandtense-aspectmarkersandanaccountofthevocabularyspurt,canbefoundinLi(2003),Lietal.(2004),andLietal.(2007).

Lexical Organization in Development

BecauseDevLexwasdesignedtomodelarealistic lexicon,weusedtwosetsofchild language corpora as the basis of our modeling: the vocabulary from theMacArthur-Bates Communicative Development Inventories (the CDI; Dale &Fenson,1996)andtheparentalspeechfromtheCHILDESdatabase(MacWhin-ney,2000).FromCDI’sToddlerList(680words)weextracted500words,exclud-inghomographs,wordphrases,andonomatopoeias in theoriginal list.The500wordsweresortedaccordingtotheirorderofacquisition,determinedbytheCDIlexicalnormsatthe30thmonth.IntheCDI,earlywordscanbedividedintofourmajor categories: (1) nouns, including animals, body, clothing, food, household,outside,people,rooms,toys,andvehicles;(2)verbs;(3)adjectives;and(4)closed-classwords,includingauxiliaryverbs,connectingwords,prepositions,pronouns,quantifiers,andquestionwords.

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To represent these 500 words as input to DevLex, we first produced theCHILDES parental corpus, which contains the speech transcripts from child-directedadult speech in theCHILDESdatabase (Li,Burgess,&Lund,2000).Next we presented the sentences (word by word) in the parental corpus to thegrowingsemanticmap(GSM).TheGSMthencomputedthelexicalco-occurrencestatistics for each of the 500 words in terms of the transitional probabilities ofsuccessivewords,andusedthesestatisticsasvaluesinavectortorepresentwordmeaning.Onemightwonderhowmuchtheseco-occurrencestatisticscancapturethesemanticaswellasthegrammaticalinformationofwords,butaseriesofprevi-ousexperimentsindicatethevalidityofthismethodinrepresentingthemeaningofwords(Li,Burgess,&Lind,2000;Li,Farkas,&MacWhinney,2004;Farkas&Li,2001,2002a,2000b).Tomodellexicalorganizationovertime,wedividedthe500wordsinto10growthstages,eachcomprising50words(cumulatively).Thus,lexicalrepresentationsmayvary(becomeenriched)fromstagetostage,asmoreandmorewordsareaddedintothetargetlexicon.

Figure 9.3 presents snapshots of the GSM at four different stages of learn-inginthenetwork.Thesesnapshotsillustratetheprocessoflexicalorganizationand reorganization in the network, as a result of the growing lexicon and thedevelopmentofenrichedlexicalrepresentationsovertime.Inparticular,onecanseehow themajorcategoriesofnouns,verbs, adjectives, andclosed-class itemsstart to form coherent classes. At the beginning of learning (stage 1), due to astrongbiasinfavorofnounsintheCDIvocabulary(andperhapsinchildEnglishin general), nouns spread all over the map. A few verbs present in the lexiconarescatteredbuthavenotformedanycompactclusters.Aslearningprogresses,moreverbs,adjectives,andclosed-classwordsenterthevocabulary,andthenounareastartstogivewaytowordsinothercategories.Thedevelopingcategoriesarealsoclearlyreflectedintheformationofsmallerclustersoverseveralareasonthemap—forexample,verbsatstage2.Moreimportantforourdiscussionhere,theseresultsnotonlyshowthedevelopmentofmajorgrammaticalcategories,butalsotheemergenceofsemanticcategorieswithinthemajorcategories.Mostnotice-ably,withintheboundaryofnounsanumberofcompactclustersemergetowardtheendoflearning.Forexample,wordsrepresentinganimals,people,householditems,food,andbodyparts(theCDIsemanticsubcategories)arecorrespondinglyclusteredwithinthenearestneighborhoodsonthemap.Bycontrast,thecluster-ingof semanticcategories for thesewords ismuch lessclearat theearly stages(i.e.,wordsthatbelongtothesamecategoryarespreadfartherapartonthemap).Theseresults illustrateclearlyhowlexicalorganizationmaychangeanddevelopovertime,withrespecttobothgrammaticalandsemanticfeaturesofwords.

Implications of the Model

Asmentionedearlier,DevLexisdesignedtoachievetwogoals:tomodeltheacqui-sitionoflexicalorganizationasadevelopmentalprocessinchildlanguageandtoexaminetheemergenceofcategoricalrepresentationsinthebrain.

Withrespecttothefirstgoal,ourhypothesisisthatthereareinherentstatistical(e.g.,distributional)differencesbetweennouns,verbs,adjectives,andclosed-class

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wordsinEnglishandthatthenetworkcanidentifythesedifferencesthroughtheanalysisoflexicalco-occurrences.Traditionallinguisticanalyses(e.g.,structural-ism)alreadyhadampleevidenceonthedistributionaldifferencesbetweenlexicalcategories(deSaussure,1916).Thequestionforacquisitionistsishowthechildcanmakeuseofthesestatisticaldifferencesin learningthefunctionsofwords,andhowthislearningcanresultindifferentorganizationalpatternsovertime.

TheDexLexmodelshowsthedevelopmentalpathwaystolexicalrepresenta-tionandorganization,inthatearlyonthecategorymembershipsareratherdiffuseanddistributed,andlateronwithlearning,theybecomemorefocusedandlocal-ized.ThisdevelopmentfromdiffusetofocusedpatternsisconsistentwithrecentfindingsbySchlaggaretal.(2002)showingthatchildrenandadultsdisplaydiffer-entpatternsofneuralactivitiesinlanguageprocessing.Forchildren,theactivationpatternisdiffuseandunfocused,whereasforadults,theactivationpatternismore

Figure �.� SnapshotsofGSMattheendofdifferentstagesofdevelopment:stage1(50words—upperleft),3(150words—upperright),5(250words—lowerleft)and10(all500words—lower right). The sequence of images illustrates the nature of changes underly-ingthedevelopmentalprocess,asaresultofadevelopingvocabularyandthechanging/enrichedwordrepresentations.GSMclearlyseparatesthefourmajorcategories(andthesemanticsubcategorieswithineachcategory)towardthefinalstage.Becauseofthelargenumberofwordsinvolvedineachmap,theindividualwordsarenotlegibleinthisfigure.(ReprintedfromTrends in Cognitive Sciences, Vol.9,Hernandez,A.,Li,P.,&MacWhin-ney, B: The emergence of computing modules in bilingualism, pp. 220–225, Copyright(2005),withpermissionfromElsevier.)

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focused,anddedicated to specificcortical regions.Note that thisearly-diffuse-late-focusedpatternisnotanartifactofthemodulationofthenetwork’strainingparameters—criticalparameterssuchaslearningrateandnetworksizewerekeptconstant across stages in our simulations. Our simulation results also match upwith Bowerman’s (1978) analyses of the organization and reorganization of thelexiconindevelopment:Manywordsthatarefarapartonthemapatanearlierstagebecomegroupedtogetheratalaterstage.Thistypeofreorganization,withinandacrosscategories,clearlyservestostructurelexicaldomainsasawhole(Carey,1978). In addition, according to Bowerman (1978), such reorganization is oftensignaledbyspeecherrors,wheresemanticallysimilarwordscompeteforselectioninproduction.InaseparatestudywhereproductionwasmodeledinDevLex,wefoundthattheorganizationalstructureofthecategorieshasasignificantimpactonthenumberofnamingerrorsaswellaswordconfusionsinthenetwork(Farkas&Li,2002b).

Withrespecttothesecondgoal,ourmodelshowsthatadevelopmentalcon-nectionistperspectivecanyieldsignificantinsightsintothenatureandoriginofcategoricalrepresentationinthebrain.Cognitiveneuroscientistshaveidentifiedvarious“braincenters”oflanguagefornouns,verbs,tools,fruits,animals,andsoon.Animportantassumptioninmanyoftheirstudiesisthatthebrainisahighlymodularized system, with different cognitive functions localized to differentcerebralregions,perhapsfromthebeginning(theclassical“modularityofmind”hypothesis;Fodor,1983).TheabilityofDevLextorepresentmajorlinguisticcat-egoriesdistinctivelywithoutdistinct representationalmodulesattests further totheprocessof“emergentorganization”throughwhichlocalizedrepresentationsormodulescanariseasafunctionofthedevelopmentalprocessesduringontogenesis,confirmingElizabethBates’motto“modulesaremade,notborn”(seeHernandezetal.,2005foradiscussion).Ourmodelshowshowtheorganizationoflocalmapscangiverisetoemergentcategoriesacrossstagesoflearning,withsubstantialearlyplasticityandearlycompetitionfortheorganizationandreorganizationofcategorymembers.Inourmodel,theGSMhasnopoolofunitsdedicatedtoanyspecificcategoryattheoutsetof learning,butas itprogressesthroughlearning,certaingroupsofunitsstart todevelopsensitivity toonly thesamekindsofwordsthatformcoherentcategories.

Althoughthereisanobviousdifferencebetween“neuronal”activitiesinourmodel and neural activities in the brain, DevLex can illustrate the functional mechanisms for the emergence of categorical representations through learninganddevelopment.InthespiritofBowerman’sresearchphilosophy,onecanoftenfind alternative explanations to a strong brain localizer’s account. For example,Farah(1994)pointedoutthatthewell-knowndeficitwithsomepatientsatprocess-ingclosed-classwordsmightbedue to speech stresspatterns thatdifferentiateclosed-classwordsfromopen-classwords—thatis,patientshavetroubledealingwith certain words because of the unstressed pattern and short duration, as ifdamageoccursonly to theclosed-classwords.Similarly,Shi (2006)pointedoutthatnewborninfantsareabletocategoricallydiscriminatelexicalcontentwordsfromgrammaticalfunctionwordsonthebasisofmultipleacousticandphonologi-calcues.FunctionalmechanismsofferedbyconnectionistmodelssuchasDevLex

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areconsistentwithsuchexplanations,butareoftenatoddswithbrainlocalizationaccountsincurrentcognitiveneuroscience.

concLusions

InthischapterIhavediscussedtheacquisitionofwordmeaninginthreedomains:tense-aspect acquisition, cryptotype formation, and lexical organization. I haveattemptedtoshowthatthesemanticstructureofthelexicon,whetheritbeovertorcovert,canemergefromtheinteractionbetweenthelearnerandthelinguisticinput in the form-meaning mapping process, and we need no a priori assump-tionsabouttheinnatestatusorthesymbolicnatureofsemanticcategoriesinthelearner’srepresentationalsystem.

Thesearchformeaningischaracteristicofchildren’searlylexicalandmorpho-logical development. It is also characteristic of Bowerman’s research emphasis.ThethreeexamplesthatIhavediscussedhereillustratetheimportanceofseman-tic learning, the roleof linguistic input, and the roleof crosslinguisticdata, allofwhichhavebeencarefullyexaminedbyBowerman.Inmydiscussion,Ihavehighlightedhowconnectionistnetworkscanhelpusunderstand theacquisitionof lexicalsemanticrepresentations—inparticular,howsemanticrepresentationsmayemergethroughthestatisticalanalysisof the linguistic input.Thus,beforeattributingsemanticrepresentationsinchildrenas“pre-linguistic”orinnate,itisbettertofirstconsidermechanismsoflearningandthelearningenvironmentaspotentialsourcesofsolution(consistentwithBowerman’sapproachin“consideringthealternativesfirst”).Ourdiscussionsshowthatthelinguisticinputcontainsrichinformationthatthechildcanexploit intheacquisitionofthe lexicon,andthatmodular lexical categories that have often been considered innate (e.g., Bicker-ton,1981)mayemergefromthelearningofstatisticalpropertiesinlanguageuse.Clearly,thedata-rich,highlyconsistent,andstatisticallyregularinputinthechild’slearningenvironmentisatoddswiththe“povertyofstimulus”hypothesisthatthechildisexposedtoerror-laden,random,andinconsistentinput.Theviewthatchil-drenarestatisticallearnersforlanguageisgainingpopularityinrecentyearssincethepublicationofanumberofimportantvolumesandarticles(e.g.,Elmanetal.,1996;MacWhinney,1998;Saffran,Aslin,&Newport,1996).

Currentdebatesincognitivescienceandcognitiveneurosciencerevolvearoundtheissueofthenatureoflinguisticrepresentation.Modelsbasedonclassicallin-guistic theories construe linguistic representations in terms of rules in symbolsystems.Achildissaidtohaveinternalizedageneralruleinhermentalrepresen-tation,“adding-ed tomakethepasttense,”atsomestageoflanguageacquisition.Thiskindofdescriptionseemsintuitivelyclear,andtherulesoffergreatdescrip-tivepower.However,connectionistmodelsprovidealternativeexplanationstothisperspective, explanations that place strong emphasis on the statistical learningprocessesthatleadtorule-likebehaviors.Thesemodelsareespeciallysuitedforsolvingproblemswithwhichtraditionalsymbolicanalyseshavedifficulty,suchasthecryptotypeproblemdiscussedherethatwasoncethought“subtle”and“intan-gible” by Whorf. The distributed representations and adaptive weights used in

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connectionistmodelsprovidemechanismstocapturethecomplexsemanticrela-tionshipsamongwordsandbetweenwordsandtheirmorphologicalmarkers.

Insum,myconclusionisthatstructuredsemanticrepresentationscanemergethrough statistical computations of the various constraints among lexical items,semanticfeatures,andmorphologicalmarkers,andthedevelopmentandorgan-izationoftherepresentationsareduetobasicprobabilisticproceduresofthesortembodiedinconnectionistnetworksinthelearningofform-to-formandform-to-meaningmappings.Weonlyneedtomakeafewsimpleassumptionsforthistypeofprobabilisticprocedures towork foryoungchildren—forexample,aworkingmemory that can hold items in sequence and the ability to track distributionalregularities(e.g.,co-occurrences)inthesequence.Suchabilities,asrecentstudiesofstatisticallearningininfantshaverevealed,seemtobereadilyavailabletotheyoungchildataveryearlystage(Saffran,Aslin,&Newport,1996;Saffran,New-port,Aslin,Tunick,&Barrueco,1997).

acKnoWLeDgments

Preparation of this article was supported by grants from the National ScienceFoundation(#BCS-9975249and#BCS-0131829).IwouldliketothankElizabethBates,MelissaBowerman,BrianMacWhinney,andRistoMiikkulainenfortheircommentsandinsightsontheideaspresentedhere.

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