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InquisitiveSemantics

OXFORDSURVEYSINSEMANTICSANDPRAGMATICS

generaleditors:ChrisBarker, NewYorkUniversity,andChristopherKennedy, UniversityofChicago

advisoryeditors:KentBach, SanFranciscoStateUniversity;JackHoeksema, UniversityofGroningen;LaurenceR.Horn, YaleUniversity;WilliamLadusaw, Universityof CaliforniaSantaCruz ;RichardLarson,StonyBrookUniversity;BethLevin, Stanford University;MarkSteedman, UniversityofEdinburgh;AnnaSzabolcsi, NewYorkUniversity; GregoryWard, NorthwesternUniversity

published

 Modality PaulPortner

 Reference BarbaraAbbott

 IntonationandMeaning DanielBüring

 Questions

VeneetaDayal

 Mood PaulPortner

 InquisitiveSemantics

IvanoCiardelli,JeroenGroenendijk,andFlorisRoelofsen inpreparation

Aspect

HanaFilip

LexicalPragmatics

LaurenceR.Horn

ConversationalImplicature

YanHuang

Inquisitive Semantics

IVANOCIARDELLI,JEROENGROENENDIJK, ANDFLORISROELOFSEN

GreatClarendonStreet,Oxford,oxdp, UnitedKingdom

OxfordUniversityPressisadepartmentoftheUniversityofOxford. ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship, andeducationbypublishingworldwide.Oxfordisaregisteredtrademarkof OxfordUniversityPressintheUKandincertainothercountries

©IvanoCiardelli,JeroenGroenendijk,andFlorisRoelofsen Themoralrightsoftheauthorshavebeenasserted

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Contents

Generalprefacevii Acknowledgmentsix

Sourcesxi

.Introduction ..Motivation ..Mainaimsandoutlineofthebook

.Basicnotions ..Thestandardpicture ..Informationstates ..Issues ..Propositions ..Contexts ..Summaryandpointerstopossiblerefinements ..Exercises

.Basicoperationsonpropositions ..Algebraicoperations ..Projectionoperators ..Linguisticrelevance ..Exercises

.Afirst-orderinquisitivesemantics ..Logicallanguageandmodels ..Semantics ..Semanticcategoriesandprojectionoperators ..Examples ..Informativecontent,truth,andsupport ..Syntacticpropertiesofnon-hybridsentences ..Sourcesofinquisitiveness ..Comparisonwithalternativesemantics ..Exercises

.Questions ..Polarquestions ..Alternativequestions

..Opendisjunctivequestions ..Wh-questions ..Questioncoordinationandconditionalization ..Limitationsandextensions ..Exercises

.Disjunction,clausetyping,andintonation ..Liststructures ..Logicalforms ..Interpretinglogicalforms ..Unmarkedcases ..Markedcases ..Exercises

.Conditionals ..Evidencefortruth-conditionaleffects ..Conditionalsininquisitivesemantics ..Furtherbenefits ..Summary ..Exercises

.Propositionalattitudes ..Propositionalattitudes:thestandardaccount ..Inquisitiveepistemiclogic ..Beyond know and wonder  ..Pointerstofurtherwork ..Exercises .Comparisontoalternativeapproaches ..Alternativesemantics ..Partitionsemantics ..Inquisitiveindifferencesemantics ..Divisionoflabor ..Exercises .Conclusion ..Overviewofmainconcepts ..Missionaccomplished?

References

Generalpreface

OxfordSurveysinSemanticsandPragmatics aimstoconveytothereader thelifeandspiritofthestudyofmeaninginnaturallanguage.Its volumesprovidedistillationsofthecentralempiricalquestionsdriving researchincontemporarysemanticsandpragmatics,anddistinguish themostimportantlinesofinquiryintothesequestions.Eachvolume offersthereaderanoverviewofthetopicathand,acriticalsurvey ofthemajorapproachestoit,andanassessmentofwhatconsensus (ifany)exists.Byputtingempiricalpuzzlesandtheoreticaldebates intoacomprehensibleperspective,eachauthorseekstoprovideorientationanddirectiontothetopic,therebyprovidingthecontextfora deeperunderstandingofboththecomplexityofthephenomenaand thecrucialfeaturesofthesemanticandpragmatictheoriesdesigned toexplainthem.Thebooksintheseriesofferresearchersinlinguisticsandrelatedareas—includingsyntax,cognitivescience,computer science,andphilosophy—bothavaluableresourceforinstructionand referenceandastate-of-the-artperspectiveoncontemporarysemantic andpragmatictheoryfromtheexpertsshapingthefield.

Inthisvolume,IvanoCiardelli,JeroenGroenendijk,andFloris RoelofsenprovidethefirstcomprehensiveintroductiontoInquisitive Semantics,atheoryoflinguisticmeaningthataimstounifythe analysisofdeclarativeandinterrogativesentences.Unliketraditional modelsofmeaning,whichdistinguishdeclarativesandinterrogatives eitherintermsofsemantictypeorintermsofforce,Inquisitive Semanticsbuildsanintegratedanalysisofbothsentencetypesaround aparticularformalizationofinformationstates,called“issues.”Inthe firstpartofthisbook,Ciardelli,Groenendijk,andRoelofsenlayoutthe formalfoundationsofthetheory,showinghowitprovidesageneral representationofsemanticcontentandconversationalcontexts.Inthe secondpart,theydemonstratethegeneralityoftheframeworkbyfirst applyingittotheanalysisofmultipletypesofinterrogatives,extendingit totheanalysisofdisjunction,conditionalsandpropositionalattitudes, andfinallycomparingittopreviousanalysesofquestions.Withits clearexposition,detailedformalization,substantivediscussionof empiricalphenomena,andcarefullyconstructedexercisesininquisitive

semanticanalysis,thisbookprovidesnewcomerstotheframework withamuch-neededintroduction,andexperiencedresearcherswitha valuableresourceforfurtherexploringitsapplications.

ChrisBarker NewYorkUniversity

ChristopherKennedy UniversityofChicago

Acknowledgments

ThisbookhasgrownoutoflecturenotesforcoursesattheEuropeanand NorthAmericanSummerSchoolsinLogic,Language,andInformation (ESSLLIandNASSLLI),aswellasyearlyinstalmentsof thecourseLogicandConversationattheUniversityofAmsterdam (–).Weareverygratefultothestudentsandcolleagueswho attendedthesecoursesandprovidedinsightfulfeedback.WeareespeciallygratefultoLucasChampollion,DonkaFarkas,andAnnaSzabolcsi forcommentsonvariouspartsofthebookthatledtoconsiderable improvements.

Manypeoplehavecontributedtothedevelopmentoftheframework presentedhere,aswillbewitnessedbynumerousreferencesthroughout thebook.Inparticular,ChaptersandhavegrownoutofclosecollaborationswithDonkaFarkasandwithLucasChampollionandLinmin Zhang,respectively.Thesecollaborationshavebeeninstrumentalin shapingtheoverallargumentpresentedinthebook.

WeareverygratefultothreeanonymousOUPbookreviewersfor detailed,constructivefeedbackonthesubmittedversionofthebook manuscript,andtotheOUPeditorialstafffortheirhelpinthepublicationprocess.

Finally,wegratefullyacknowledgefinancialsupportfromthe NetherlandsOrganizationforScientificResearch(NWO,grant numbers--and--)andtheEuropeanResearch Council(ERC,grantnumber).

Sources

Manyofthepapersreferredtointhisbookcanbeaccessedthrough www.illc.uva.nl/inquisitivesemantics/papers.Somecomputationaltools thatmighthelpthereadertobecomefamiliarwiththeframeworkpresentedinthebookareavailableatwww.illc.uva.nl/inquisitivesemantics/ resources.

Thisbookbringstogetheranumberofideasandresultsfrompreviouspublications,manuscripts,andteachingmaterials.Belowwelist themainsourcesforeachchapter,whichinsomecasescontainmore comprehensivediscussionoftheideaspresentedhere.

•Chapter:Ciardelli,Groenendijk,andRoelofsen(a)

•Chapter:Roelofsen(a)

•Chapter:Ciardelli();GroenendijkandRoelofsen(); CiardelliandRoelofsen();Roelofsen(a);Ciardelli (d)

•Chapter:Roelofsen(c,a);RoelofsenandFarkas(); FarkasandRoelofsen()

•Chapter:Champollion,Ciardelli,andZhang();Ciardelli (b);Ciardelli,Zhang,andChampollion(c)

•Chapter:CiardelliandRoelofsen(,)

•Chapter:Ciardelli,Groenendijk,andRoelofsen(a);Ciardelli (b);CiardelliandRoelofsen(a);FarkasandRoelofsen ()

1 Introduction

Inquisitivesemanticsisanewsemanticframeworkmainlyintendedfor theanalysisoflinguisticinformationexchange.Informationexchange canbeseenasaprocessofraisingandresolvingissues.Inquisitive semanticsprovidesanewformalnotionofissues,whichmakesit possibletomodelvariousconceptsthatarecrucialfortheanalysisof linguisticinformationexchangeinamorerefinedandmoreprincipled waythanhasbeenpossibleinpreviousframeworks.Inparticular:

.The semanticcontent ofbothdeclarativeandinterrogativesentencescanberepresentedinanintegratedway,capturingnotonly theinformationthatsuchsentencesconvey,butalsotheissuesthat theyraise;

.Similarly, conversationalcontexts canbemodeledasencompassingnotjusttheinformationthathasbeenestablishedinthe conversationsofar,butalsotheissuesthathavebeenbroughtup;

.Andfinally,itbecomespossibletoformallyrepresentabroader rangeof propositionalattitudes thatarerelevantforinformation exchange:besidesthefamiliarinformation-directedattitudeslike knowing and believing,issue-directedattitudeslike wondering can becapturedaswell.

Thisbookprovidesadetailedexpositionofthemostbasicfeaturesof inquisitivesemantics,anddemonstratessomeoftheadvantagesthatthe frameworkhaswithrespecttopreviouslyproposedwaysofrepresenting semanticcontent,conversationalcontexts,andpropositionalattitudes.

Thisintroductorychapterwillproceedtoargueinsomedetailwhya frameworklikeinquisitivesemanticsisneededforasatisfactoryanalysis ofinformationexchange(Section.),andwillendwithaglobaloutline oftheremainingchapters(Section.).

InquisitiveSemantics.Firstedition.IvanoCiardelli,JeroenGroenendijk,andFlorisRoelofsen. ©IvanoCiardelli,JeroenGroenendijk,andFlorisRoelofsen.FirstpublishedbyOxford UniversityPress.

1.1Motivation

Themostbasicquestionthatneedstobeaddressedinmoredetail beforeweintroducethenewformalnotionofissuesthatformsthe cornerstoneofinquisitivesemanticsiswhysuchanotionisneededat allfortheanalysisoflinguisticinformationexchange.Thiswillbedone inSection...

Asecondfundamentalpointthatwewanttomakeisthattheanalysis oflinguisticinformationexchangedoesnotjustrequireasemantictheoryofdeclarativesandanothersemantictheoryofinterrogativessideby side,butratheran integrated theoryofdeclarativesandinterrogatives; neithersentencetypecanbefullyunderstoodinisolation.Reasonsfor thiswillbegiveninSection...

Finally,athirdimportantpointisthatasemantictheoryofdeclarativesandinterrogativesshouldnotemploytwodifferentnotionsof semanticcontent,onefordeclarativesandoneforinterrogatives,but shouldratherbebasedonasinglenotionofsemanticcontentthatis generalenoughtocaptureboththeinformationthatsentencesconvey andtheissuesthattheymayraise.Thispointwillbesubstantiatedin Section...

1.1.1Whydoweneedaformalnotionofissues?

Thereareseveralreasonswhyaformalnotionofissuesisneededforthe analysisoflinguisticinformationexchange,andeachoftheseisrelated tooneofthethreeaspectsofinformationexchangelistedabove:some arisefromtheneedforasuitablenotionofsemanticcontent,somefrom theneedforasuitablemodelofconversationalcontexts,andyetothers fromtheneedforasufficientlyrefinedrepresentationofthemental statesofconversationalparticipants.Wewilldiscusseachinturn.

Reason:Torepresentthecontentofinterrogativesentences The semanticcontentofadeclarativesentenceisstandardlyconstruedas asetofpossibleworlds,thoseworldsthatarecompatiblewiththe informationthatthesentenceconveys(aspertheconventionsofthe language;additionalinformationmaybeconveyedpragmaticallywhen thesentenceisuttered).Thissetofworldsisreferredtoasthe proposition thatthesentenceexpresses.

Thisnotionofsemanticcontentworkswellfordeclarativesentences, whosemainconversationalroleisindeedtoprovideinformation.For

.motivation instance,themaincommunicativefunctionofthedeclarativesentence in()belowistoconveytheinformationthatBilliscoming.

()Billiscoming.

Butinformationexchangetypicallydoesnotjustconsistinasequence ofdeclarativesentences.Anequallyimportantroleisplayedbyinterrogativesentences,whosemainconversationalroleistoraiseissues.

Canthesemanticcontentofaninterrogativesentencebeconstrued asasetofpossibleworldsaswell?Considertheexamplein(),apolar interrogative:

()IsBillcoming?

Frege()famouslyproposedthattheinterrogativein()andthe declarativein()canindeedbetakentohavethesamesemanticcontent:

Aninterrogativesentenceandanindicativeonecontainthesamethought;butthe indicativecontainssomethingelseaswell,namely,theassertion.Theinterrogative sentencecontainssomethingmoretoo,namelyarequest.Thereforetwothingsmust bedistinguishedinanindicativesentence:thecontent,whichithasincommonwith thecorrespondingsentence-question,andtheassertion.(Frege,,p.)1

Sotheideaisthatdeclarativesandinterrogativeshavethesamesemanticcontent—aproposition—butcomewithadifferentforce—either assertionorrequest.Thisideahasbeenquiteprominentintheliterature,especiallyin speechacttheory (Searle,;Vanderveken,).2

However,asnotedbyFregehimself,itislimitedinscope.Itmay workforsimplepolarinterrogatives,butnotformanyotherkindsof interrogatives,like()–():

()IsBillcoming,orSue?

()Whoiscoming?

Moreover,ashasbeenarguedextensivelyinthemorerecentliterature (seeespeciallyGroenendijkandStokhof,),eventheideathata plainpolarinterrogativehasthesamecontentasthecorresponding declarativeisproblematic.Inparticular,whenappliedto embedded casesitisnotcompatiblewiththeprincipleof compositionality,which requiresthatthesemanticcontentofacompoundexpressionbedeterminedbythesemanticcontentofitsconstituentparts,andthewayin

1Thepagereferenceistothetranslatedversion,Frege().

2Seealsorecentworkonquestionsindynamicepistemiclogic(vanBenthemand Minic˘a,).

whichthesepartsarecombined.Toseethis,comparethefollowingtwo examples,whichcontainembeddedvariantsofthedeclarativein()and thepolarinterrogativein(),respectively:

()JohnknowsthatBilliscoming.

()JohnknowswhetherBilliscoming.

Iftheembeddedclauseshadthesamecontent,thenbytheprincipleof compositionalitythetwosentencesasawholeshouldalsohavethesame content.Butthisisclearlynotthecase.Sotheembeddedclausesmust differincontent.

Thus,thestandardnotionofsemanticcontentdoesnotseemapplicabletointerrogativesentences.Rather,whatweneedforinterrogatives isanotionofcontentthatdirectlycapturestheissuesthattheyraise.3

Reason:Tomodelconversationalcontexts Ithasbeenargued extensivelyintheliteraturethatconversationalcontextshavetobe modeledinawaythatdoesnotonlytakeaccountoftheinformationthat hasbeenestablishedintheconversationsofar,butalsooftheissuesthat havebeenbroughtup,oftenreferredtoasthe questionsunderdiscussion (Carlson,;GroenendijkandStokhof,;vanKuppevelt,; Ginzburg,;Roberts,;Büring,;BeaverandClark,; Tonhauser etal.,,amongothers).Wewillbrieflydiscusstwo reasonswhythisisimportant.First,itisneededtodevelopaformal theoryofpragmaticreasoningandtheconversationalimplicaturesthat resultfromsuchreasoning.Andsecond,itisneededforatheoryof informationstructuralphenomenaliketopicandfocusmarking.Letus firstconsiderpragmaticreasoning.

Akeynotioninpragmaticreasoningisthenotionof relevance.When isacontributiontoaconversationrelevantforthepurposesathand? Onenaturalansweristhatacontributionisrelevantjustincaseit addressesoneoftheissuesunderconsideration.Eveniftheissuesunder considerationonlypartiallycharacterizewhatis‘relevant’inabroader sense,thispartialcharacterizationiscrucialforaformaltheoryof conversationalimplicatures.For,theissuesunderconsiderationinfluencewhichconversationalimplicaturesarise.Toseethis,considerthe followingexamples:

3Thereisanextensiveliteratureonthesemanticsofinterrogatives(Hamblin,; Karttunen,;GroenendijkandStokhof,,amongmanyothers),andinquisitive semanticsstronglybuildsontheinsightsthathaveemergedfromthiswork.Adetailed comparisonwillbeprovidedinChapter.

.motivation

()A:Whatdidyoudothismorning?

B:Ireadthenewspaper. ❀ Bdidnotdothelaundry ()A:Whatdidyoureadthismorning?

B:Ireadthenewspaper. ❀ Bdidnotdothelaundry

B’sutteranceisexactlythesameinbothcases,buttheissuethatit addressesisdifferent.Asaresult,in(),wherethequestionunder discussioniswhatB did thismorning,thereisaconversationalimplicaturethatBdidnotdoanythingbesidesreadingthenewspaper,i.e., thathedidnotdothelaundryforinstance.Ontheotherhand,in(), wherethequestionunderdiscussioniswhatB read thismorning,there isaweakerconversationalimplicature,totheeffectthatBdidnot readanythingbesidesthenewspaper.Thisdoesnotimplythathedid notdootherthings,suchasthelaundry.Thus,weseethatpragmatic reasoningissensitivetotheissuesthatareatplayinthecontextof utterance.

Nowletusillustratetheimportanceofcontextualissuesforinformationstructuralphenomena.Wewillconcentrateonfocusmarking. Languagesgenerallyhavegrammaticalwaystosignalwhichpartof asentenceisinfocusandwhichpartisbackgrounded.InEnglish, thefocus/backgrounddistinctionismarkedintonationally:focused constituentsreceiveprominentpitchaccents,whilebackgroundedconstituentsdonot.Inotherlanguages,focusissometimesmarkedby meansofspecialparticlesorbymeansofwordorder.

Whichconstituentsshouldbemarkedasbeinginfocusandwhich shouldbemarkedasbeingbackgroundedisdetermined,atleastpartly, bytheissuethatisbeingaddressed.Toseethis,considerthefollowing examples,wherecapitalizationisusedtoindicatefocusmarkingby meansofprominentpitchaccents.

()A:WhodidAlfrescue?

B:AlfrescuedBEA./ALFrescuedBea. ()A:WhorescuedBea?

B:ALFrescuedBea./AlfrescuedBEA.

IfthequestioniswhoAlfrescued,asin(),thentheresponsethat AlfrescuedBeamustbepronouncedwithaprominentpitchaccent on Bea.Placingapitchaccenton Alf insteadresultsininfelicity.On theotherhand,ifthequestioniswhorescuedBea,asin(),thenthe sameresponse,i.e.,thatAlfrescuedBea,mustbepronouncedwitha prominentpitchaccenton Alf ratherthan Bea.Thus,weseethatfocus

marking,justlikepragmaticreasoning,issensitivetotheissueunder discussion.4

Reason:Tomodelissue-directedpropositionalattitudesandcapture themeaningofverbsthatreportsuchattitudes Inordertounderstandlinguisticinformationexchange,itisimportanttohaveawayof representingtheinformationthatisavailabletotheagentsparticipating intheexchange,aswellastheissuesthattheyareinterestedin.Inother words,weneedtobeabletomodelwhattheagents know or believe atanygiventime,andalsowhatthey wonderabout.Knowledgeand beliefareinformation-directedpropositionalattitudes;wonderingisan issue-directedpropositionalattitude.Thestandardwaytomodelthe knowledgeandbeliefsofanagentisasasetofpossibleworlds,namely thoseworldsthatarecompatiblewithwhattheagentknowsorbelieves. Suchasetofworldsisthoughtofasrepresentingtheagent’s information state.Similarly,inordertocapturewhatanagentwondersabout,we needarepresentationofher inquisitivestate.Forsucharepresentation, weagainneedaformalnotionofissues.

Moreover,turningbacktolanguage,justlikethereareverbslike know and believe thatdescribetheinformationstateofanagent,asin() below,therearealsoverbslike wonder and becurious thatdescribethe inquisitivestateofanagent,asin().

()JohnknowsthatBilliscoming.

()Johnwonderswhoiscoming.

Clearly,inordertoanalysethemeaningofverbslike wonder wedonot onlyneedasuitablerepresentationofthecontentoftheinterrogative clausethattheverbtakesasitscomplement(here, whoiscoming ),but alsoasuitablerepresentationoftheinquisitivestateofthesubjectofthe verb(here, John).

1.1.2Declarativesandinterrogativescannotbetreatedseparately Theanalysisoflinguisticinformationexchangerequiresasemantictheoryofdeclarativesandoneofinterrogatives.Aquestionthatnaturally arises,then,iswhetherthetwosentencetypescouldbeanalysedseparately,orwhetheramoreintegratedapproachiscalledfor.Belowwe

4Besidespragmaticreasoningandinformationstructuralphenomenaliketopicand focusmarking,ithasbeenarguedthatamodelofconversationalcontextsthatcomprises theissuesthathavebeenraisedisalsoneededforasuitableanalysisofdiscourseparticles (see,e.g.,Rojas-Esponda,)andpresuppositionprojection(e.g.,Tonhauser etal.,).

.motivation givetworeasonswhyneitherdeclarativesnorinterrogativescanbefully understoodinisolation,makinganintegratedapproachnecessary.

Reason:Mutualembedding Declarativeandinterrogativesentences canbeembeddedintooneanother,asexemplifiedin()–().

()Billaskedmewhowon.embeddedinterrogative ()WhotoldyouthatJanewon?embeddeddeclarative ()Billaskedmewhotoldyouthattwo-levelembedding Janewon.

Sothemeaningofadeclarativesentenceissometimespartlydeterminedbythemeaningofanembeddedinterrogativesentence,and viceversa.Clearly,then,acompletesemanticaccountofdeclaratives cannotbeachievedwithoutgettingahandleoninterrogatives,andthe otherwayaround,acompletesemanticaccountofinterrogativesis impossiblewithoutatreatmentofdeclaratives.Thus,thetwohaveto beanalysedhandinhand;consideringtheminisolationisboundto leadtoincompletetheories.

Reason:Interpretationaldependencies Asillustratedin()and (),theinterpretationofadeclarativesentencesometimespartly dependsontheissueraisedbyaprecedinginterrogative.Noticethat examples()–()differfromthepreviousexamples()–()inthat theycontaintheparticle only.

()A:Whatdidyoudothismorning?

B:Ionlyreadthenewspaper. ❀ Bdidnotdothelaundry ()A:Whatdidyoureadthismorning?

B:Ionlyreadthenewspaper. ❀ Bdidnotdothelaundry

Ifthequestioniswhatyou did thismorning,asin(),thenthetruth ofthestatementthatyouonlyreadthenewspaperrequiresthatyou didnotdootherthings,suchasthelaundry.Ontheotherhand,ifthe questioniswhatyou read thismorning,asin(),thenthetruthof thestatementthatyouonlyreadthenewspaperjustrequiresthatyou didnotreadanythingelse,whileitiscompatiblewiththefactthat youdiddootherthingsbesidesreading,suchasthelaundry.Thus,not justthepragmaticimplicaturesthatadeclarativestatementmayinduce, butevenitstruth-conditionalcontentcandependontheissuethatis addressed,whichagainmeansthatanalyzingdeclarativesinisolation,

withouttakinginterrogativesintoaccountaswell,isboundtoleadto anincompletetheory.

1.1.3Whydoweneedanintegratednotionofsemanticcontent?

Aswediscussedabove,thenotionofsemanticcontentthatiscommonlyassumedfordeclarativesentencesdoesnotseemsuitablefor interrogativesentences.Inprinciple,thisdoesnotmeanthatthereis anythingwrongwiththisstandardnotion.Wecouldattempttoconstrue asuitablenotionofcontentforinterrogatives,andmaintaintheexisting notionfordeclaratives.This,indeed,istheapproachthathasbeentaken inmostpreviouswork(seeGroenendijkandStokhof,,foran overview).Wewillargue,however,thatasingle,integratednotionof semanticcontentistobepreferred.

Reason:Commonbuildingblocks Declarativesandinterrogatives aretoalargeextentbuiltupfromthesamelexical,morphological, andintonationalelements.Clearly,wewouldliketohaveauniform semanticaccountoftheseelements,i.e.,anaccountthatcaptures theirsemanticcontributioninfullgenerality,ratherthantwoseparate accounts,onecapturingtheirsemanticcontributionwhentheyarepart ofdeclarativesentencesandtheotherwhentheyarepartofinterrogative sentences.

Tomakethisconcrete,considerthefollowingtwoexamples,adeclarativeandaninterrogativewhicharebuiltupfromexactlythesame lexicalitemsandalsoexhibitthesameintonationpattern(weuse ↑ and ↓ toindicaterisingandfallingintonation,respectively).

()LucaisfromItaly↑ orfromSpain↓ . ()IsLucafromItaly↑ orfromSpain↓ ?

Inutteringthedeclarativein(),aspeakerprovidestheinformation thatLucaisfromItalyorfromSpain,andshedoesnotrequestanyfurtherinformationfromotherconversationalparticipants.Ontheother hand,inutteringtheinterrogativein(),shetakestheinformationthat LucaisfromItalyorSpainforgranted,andrequestsotherparticipants toprovidefurtherinformationdeterminingexactlywhichofthetwo countriesheisfrom.

Bothsentencescontainthedisjunctionword or.Indeclaratives, or is normallytakentoyieldtheunionofthesemanticvaluesofthedisjuncts. In(),eachdisjunctexpressesaproposition,standardlyrepresentedas

.motivation asetofpossibleworlds:thesemanticvalueofthefirstdisjunctistheset ofworldswhereLucaisfromItaly,andthesemanticvalueofthesecond disjunctisthesetofworldswhereLucaisfromSpain.Theproposition expressedby()istheunionofthesetwosets,i.e.,thesetofallworlds whereLucaisfromeithercountry.

Thisseemsareasonableaccountof or indeclaratives.Butwhatisthe roleof or ininterrogatives?Ultimately,wewouldliketohaveanaccount of or thatisgeneralenoughtocaptureitssemanticcontributioninboth declarativesandinterrogativesinauniformway.Assumingdifferent notionsofsemanticcontentfordeclarativeandinterrogativesentences constitutesanobstacleforsuchauniformaccount.Bycontrast,as wewillsee,suchanaccountnaturallycomeswithinreachoncewe assumeanintegratednotionofsemanticcontent.Inthisapproach, thesemanticcontentofacompletesentenceshouldcaptureboththe informationthatthesentenceconveysandtheissuethatitraises(where ofcourse,eithermaybetrivial),andthesemanticcontentofanysubsententialconstituentshouldcapturethecontributionthatthisconstituentmakesbothtotheinformationconveyedandtotheissueraised bythesentence.

Reason:Entailment Entailmentisnormallythoughtofasalogical relationbetweendeclarativesentences.Onesentenceistakentoentail anotherifthefirstconveysatleastasmuchinformationasthesecond.Thislogicalrelationplaysacentralroleinthestandardlogical frameworkfornaturallanguagesemantics.Foronething,predictions aboutentailmentconstituteoneoftheprimarycriteriaforempirical successofsemantictheories.Thatis,atheoryisassessedbytestingits predictionsaboutentailment.Butbesidesthis,entailmentisimportant invariousotherrespectsaswell.Forinstance,itplaysacrucialrolein thederivationofquantityimplicatures,whichinvolvescomparingthe sentencethataspeakeractuallyutteredwithothersentencesthatthe speaker couldhave utteredinstead.Thiscomparisonisdoneinterms ofinformativestrength,whichiscapturedbyentailment(seeGrice, ,andmuchsubsequentwork).Similarly,entailmentisneededto formulateinterpretiveprinciplesliketheStrongestMeaningHypothesis,whichhasbeenarguedtoplayacrucialroleintheresolution ofsemanticunderspecification,forinstanceintheinterpretationof pluralpredication(Dalrymple etal.,;Winter,).Andasafinal example,entailmenthasbeenusedtocharacterizethedistributionof positiveandnegativepolarityitemsintermsofupwardanddownward

entailingenvironments(e.g.,Ladusaw,;KadmonandLandman, ).

Clearly,wewouldlikeourtheoriesofquantityimplicatures,plural predication,polarityitems,etc.,toapplyinauniformwaytodeclarative andinterrogativeconstructions.However,sincethestandardnotionof entailmentcomparestwosentencesintermsoftheirinformative,truthconditionalcontent(andsub-sententialexpressionsintermsoftheir contributiontotheinformativecontentofthesentencesthattheyare partof),itdoesnotsuitablyapplytointerrogatives.Forthisreason,the scopeofentailment-basedtheoriessuchastheonesjustmentionedis currentlyrestrictedtodeclaratives.

Whatweneed,then,isanotionofentailmentthatisgeneralenough toapplytobothdeclarativesandinterrogativesinauniformway.We expect,forinstance,tobeabletoaccountinauniformwayforthefact thatthedeclarativein(a)entailstheonein(b),andforthefactthat theinterrogativein(a)entailstheonein(b).

()a.Thenumberofplanetsis.

b.Thenumberofplanetsiseven.

()a.Whatisthenumberofplanets?

b.Isthenumberofplanetseven?

Forthis,weneedanotionofentailmentwhichissensitivetobothinformativeandinquisitivestrength.Suchanotioncanbenaturallydefined onceweoperatewithanotionofsemanticcontentthatencompasses bothinformativeandinquisitivecontent.

Reason:Logicaloperations Twodeclarativesentencescanbecombinedbymeansofconjunctionanddisjunction.

()PeterrentedacarandMarybookedahotel.

()Peterrentedacarorheborrowedone.

Thisdoesnotonlyholdforrootdeclaratives,butalsoforembedded ones.

()IbelievethatPeterrentedacarandthatMarybookedahotel. ()IbelievethatPeterrentedacarorthatheborrowedone.

Thisisalsotrueforinterrogatives,bothembeddedandunembedded ones.5

5Whilethepossibilityofconjoininginterrogativesentencesisuncontroversial,the possibilityofdisjoininginterrogativeshasbeendisputedbySzabolcsi(,a)and Krifka(b).InSection..wewillexamineSzabolcsi’sargumentinsomedetail.On

.mainaimsandoutlineofthebook

()Wherecanwerentacar,andwhichhotelshouldwetake?

()Wherecanwerentacar,orwhomighthaveonethatwecould borrow?

()I’minvestigatingwherewecanrentacarandwhichhotelwe shouldtake.

()I’minvestigatingwherewecanrentacarorwhomighthaveone thatwecouldborrow.

Theseparallelsbetweendeclarativesandinterrogativesexistnotonly inEnglish,butinmanyotherlanguagesaswell:wordsthatareusedto conjoindeclarativesarealsousedtoconjoininterrogatives,andwords thatareusedtodisjoindeclarativescanoftenalsobeusedtodisjoin interrogatives.

Whatwewouldliketohave,then,isanaccountofconjunctionand disjunctionthatdoesnotjustapplytodeclaratives,butthatisgeneral enoughtoapplytobothdeclarativesandinterrogativesinauniform way.Aswewillsee,suchanaccountcomeswithinreachifweanalyse declarativesandinterrogativesbymeansofasinglenotionofsemantic contentthatencompassesbothinformativeandinquisitivecontent.

Besidesconjunctionanddisjunction,anotherlogicaloperationthat canbeperformedbothondeclarativesandoninterrogativesis conditionalization,asexemplifiedin()and().

()IfBillasksMaryout,shewillaccept.

()IfBillasksMaryout,willsheaccept?

Thiscallsforanaccountofconditionalsthatappliesuniformly,regardlessofwhethertheconsequentisadeclarativeoraninterrogative sentence.Again,suchanaccountisfacilitatedbyasemanticframework whichencompassesbothinformativeandinquisitivecontent.

1.2Mainaimsandoutlineofthebook

Giventheaboveconsiderations,ourmainhigh-levelaimsinthisbook willbetointroduce:

.Aformalnotionofissuesthatallowsforasuitablerepresentation ofsemanticcontent,conversationalcontexts,andpropositional attitudes;

thebasisofexamplessuchas()and(),wewillarguethatdisjoininginterrogativesisin principlepossible,andthatthemeaningoftheresultingdisjunctioniscorrectlyderivedby applyinginquisitivedisjunctiontothemeaningsofthetwointerrogativedisjuncts.

.Alogicalframeworkthatallowsforanintegratedsemanticanalysis ofdeclarativeandinterrogativesentences,withasinglenotion ofsemanticcontentwhichisgeneralenoughtodealwithboth sentencetypesatonce,ratherthanaseparatenotionofsemantic contentforeachsentencetype.

Theremainingchaptersofthebookbroadlyfallintotwoparts.The firstpart,spanningChapters–,providesadetailedexpositionof thebasicinquisitivesemanticsframework.Thesecondpart,consisting ofChapters–,discussesseveralapplicationsoftheframeworkand comparesittopreviouswork.

Morespecifically,Chapterintroducesthenewnotionsofissues, propositions,andconversationalcontextsthatformtheheartof inquisitivesemantics;Chapteridentifiesthebasicoperationsthat canbeperformedoninquisitivepropositions;andChapterpresents aninquisitivesemanticsforthelanguageoffirst-orderlogic.

Then,turningtothesecondpart,Chaptershowshowthemeaning ofvariouskindsofquestionsoccurringinnaturallanguagescanbe capturedintheframeworkdevelopedinChapters–;Chaptershows howtoderivethemeaningofvariousdeclarativeandinterrogative sentencetypesinacompositionalway,providingaconcreteillustrationofthebenefitsoftreatinginformativeandinquisitivecontent inanintegratedway;Chapterarguesthatthetruth-conditionsof certaindeclarativesentences—inparticular,conditionals—dependon theinquisitivecontentoftheirconstituents,whichshowsthatthe richernotionofsemanticcontentthatinquisitivesemanticsprovides isbeneficialevenifoneisjustconcernedwithdeclaratives;Chapter discussestherepresentationofinformation-directedandissue-directed propositionalattitudes,aswellasthesemanticsofverbslike know and wonder whichareusedtoreportsuchattitudes;andChapter discussestheadvantagesofinquisitivesemanticsasaframeworkforthe semanticanalysisofinterrogativesincomparisonwithpreviouswork. Finally,Chapterconcludeswithaschematicoverviewofthebook, anddiscussestowhatextentitmeetsthetwohigh-leveldesideratalisted atthebeginningofthesection.

TheFurtherReadingsectionatthebackofthebookprovidessome pointerstoworkthatfurtherextendsorappliestheframeworkpresentedhere.

2

Basicnotions

Inthepreviouschapterwehavearguedthataformalnotionof issues isof crucialimportancefortheanalysisoflinguisticinformationexchange. Thepresentchapterspecifieshowissuesareformallydefinedininquisitivesemantics.Italsodefinesthreeotherbasicnotions—information states, propositions,and conversationalcontexts—andanumberoffundamentalrelationsthatmayholdbetweensuchentities.Inparticular,as depictedinFigure.,wewillspecifywhatitmeansforaninformation stateto resolve anissueorto support aproposition,whatitmeansfor acontexttobe updated withaproposition,whenonecontextisan extension ofanother,whenoneproposition entails another,whenone informationstateisan enhancement ofanother,andwhenoneissueisa refinement ofanother.

Beforeturningtotheinquisitivesetting,however,wefirstbriefly reviewhowthesenotions—withtheexceptionofissues—arestandardly defined.

2.1Thestandardpicture

Thesimplestwaytoconstrueinformationstates,propositions,and conversationalcontextsisas setsofpossibleworlds (see,e.g.,Hintikka, ;Stalnaker,).Asetofpossibleworldscanbethoughtofas representingacertain bodyofinformation,namelytheinformationthat theactualworldcorrespondstooneoftheworldsintheset.Suchabody ofinformationmaybeseenastheinformationavailabletoacertain conversationalparticipant;inthatcaseitcanbetakentorepresent theinformationstateofthatparticipant.Ontheotherhand,abody ofinformationmayalsobeseenastheinformationconveyedbya certainsentence;inthatcaseitcanbetakentoconstitutethesemantic contentofthatsentence,thepropositionthatitexpresses.Andfinally, abodyofinformationcouldbeseenastheinformationthathassofar beencommonlyestablishedbyalltheparticipantsinaconversation;in

InquisitiveSemantics.Firstedition.IvanoCiardelli,JeroenGroenendijk,andFlorisRoelofsen. ©IvanoCiardelli,JeroenGroenendijk,andFlorisRoelofsen.FirstpublishedbyOxford UniversityPress.

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