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  Itwouldbewellifobservationsweresodirectedastoascertain,atleastuptotenortwenty,theincrease[ofinterval]requiredbyeachadditionalclickinaseriesforthesenseofdiscontinuitytoremainconstantthroughout。\"[14]

  [p。615]Wherethefirstimpressionfallsononesense,andthesecondonanother,theperceptionoftheinterveningtimetendstobelesscertainanddelicate,anditmakesadifferencewhichimpressioncomesfirst。Thus,Exnerfound[15]thesmallestperceptibleintervaltobe,inseconds:Fromsighttotouch……0。071

  Fromtouchtosight……0。053

  Fromsighttohearing……0。16

  Fromhearingtosight……0。06

  Fromoneeartoanother……0。064Tobeconsciousofatimeintervalatallisonething;totellwhetheritbeshorterorlongerthananotherintervalisadifferentthing。

  Anumberofexperimentaldataareonhandwhichgiveusameasureofthedelicacyofthislatterperception。Theproblemisthatofthesmallestdifferencebetweentwotimeswhichwecanperceive。

  Thedifferenceisatitsminimumwhenthetimesthemselvesareveryshort。Exner,[16]reactingasrapidlyaspossiblewithhisfoot,uponasignalseenbytheeyespark,notedallthereactionswhichseemedtohimeithersloworfastinthemaking。Hethoughtthusthatdeviationsofabout1/100ofasecondeitherwayfromtheaveragewere[p。616]correctlynoticedbyhimatthetime。Theaveragewashere0。1840\"。HallandJastrowlistenedtotheintervalsbetweentheclicksoftheirapparatus。Betweentwosuchequalintervalsof4。27\"each,amiddleintervalwasincluded,whichmightbemadeeithershorterorlongerthantheextremes。\"Aftertheserieshadbeenheardtwooreventhreetimes,noimpressionoftherelativelengthofthemiddleintervalwouldoftenexist,andonlyafterhearingthefourthandlast[repetitionoftheseries]wouldthejudgmentinclinetotheplusorminusside。Insertingthevariablebetweentwoinvariableandlikeintervalsgreatlyfacilitatedjudgment,whichbetweentwounliketermsisfarlessaccurate。\"[17]Threeobserversintheseexperimentsmadenoerrorwhenthemiddleintervalvaried1/60

  fromtheextremes。Whenitvaried1/120,errorsoccurred,butwerefew,Thiswouldmaketheminimumabsolutedifferenceperceivedaslargeas0。355。\"

  Thisminimumabsolutedifference,ofcourse,increasesasthetimescomparedgrowlong。Attemptshavebeenmadetoascertainwhatratioitbearstothetimesthemselves。AccordingtoFechner’s’PsychophysicLaw’itoughtalwaystobearthesameratio。Variousobservers,however,havefoundthisnottobethecase。[18]Onthecontrary,veryinterestingoscillationsintheaccuracyofjudgmentandinthedirectionoftheerror——oscillationsdependentupontheabsoluteamountofthetimescompared——havebeennoticedbyallwhohaveexperimentedwiththequestion。

  Oftheseabriefaccountmaybegiven。

  Inthefirstplace,ineverylistofintervalsexperimentedwiththerewillbefoundwhatVierordtcallsan’INDIFFERENCE-POINT;’thatistosay,anintervalwhichwejudgewithmaximumaccuracy,atimewhichwetendtoestimateasneitherlongerorshorterthanitreallyis,andawayfromwhich,[p。617]inbothdirections,errorsincreasetheirsize。[19]

  Thistimevariesfromoneobservertoanother,butitsaverageisremarkablyconstant,asthefollowingtableshows。[20]

  Thetimes,notedbytheear,andtheaverageindifference-pointsgiveninsecondswere,for——Wundt[21]……0。72

  Kollert[22]……0。75

  Estelprobably……0。75

  Mehner……0。71

  Stevens[23]……0。71

  Mach[24]……0。35

  Buccolaabout[25]……0。40Theoddthingaboutthesefiguresistherecurrencetheyshowinsomanymenofaboutthreefourthsofasecond,[p。618]astheintervaloftimemosteasytocatchandreproduce。Odderstill,bothEstelandMehnerfoundthatmultiplesofthistimeweremoreaccuratelyreproducedthanthetime-intervalsofintermediarylength;[26]andGlassfoundacertainperiodicity,withtheconstantincrementof1。25sec。,inhisobservations。

  Therewouldseemthustoexistsomethinglikeaperiodicorrhythmicsharpeningofourtime-sense,ofwhichtheperioddifferssomewhatfromoneobservertothenext。

  Oursenseoftime,likeothersenses,seemssubjecttothelawofcontrast。ItappearedprettyplainlyinEstel’sobservationsthatanintervalsoundedshorterifalongonehadimmediatelyprecededit,andlongerwhentheoppositewasthecase。

  Likeothersenses,too,oursenseoftimeissharpenedbypractice。

  Mehnerascribesalmostallthediscrepanciesbetweenotherobserversandhimselftothiscausealone。[27]

  Tracksoftimefilledwithclicksofsoundseemlongerthanvacantonesofthesameduration,whenthelatterdoesnotexceedasecondortwo。[28]This,whichremindsoneofwhathappenswithspacesseenbytheeye,becomesreversedwhenlongertimesaretaken。Itis,perhaps,inaccordancewiththislawthataloudsound,limitingashortintervaloftime,makesitappearlonger,aslightsoundshorter。

  Incomparingintervalsmarkedoutbysounds,wemusttakecaretokeepthesoundsuniform。[29]

  Thereisacertainemotionalfeelingaccompanyingtheintervalsoftime,asiswellknowninmusic。Thesenseofhastegoeswithonemeasureofrapidity,thatofdelaywithanother;andthesetwofeelingsharmonizewithdifferentmentalmoods。Vierordtlistenedtoseriesofstrokesperformedbyametronomeatratesvaryingfrom40to200a[p。

  619]minute,andfoundthattheyverynaturallyfellintosevencategories,from’veryslow’to’veryfast。’[30]Eachcategoryoffeelingincludedtheintervalsfollowingeachotherwithinacertainrangeofspeed,andnoothers。Thisisaqualitative,notaquantitativejudgment——anæstheticjudgment,infact。Themiddlecategory,ofspeedthatwasneutral,or,ashecallsit,’adequate,’containedintervalsthatweregroupedabout0。62second,andVierordtsaysthatthismadewhatonemightalmostcallanagreeabletime。[31]

  Thefeelingoftimeandaccentinmusic,ofrhythm,isquiteindependentofthatofmelody。Tuneswithmarkedrhythmcanbereadilyrecognizedwhensimplydrummedonthetablewiththefinger-tips。WEHAVENOSENSEFOREMPTYTIME。

  Althoughsubdividingthetimebybeatsofsensationaidsouraccurateknowledgeoftheamountofitthatelapses,suchsubdivisiondoesnotseematthefirstglanceessentialtoourperceptionofitsflow。Letonesitwithclosedeyesand,abstractingentirelyfromtheouterworld,attendexclusivelytothepassageoftime,likeonewhowakes,asthepoetsays,\"toheartimeflowinginthemiddleofthenight,andallthingsmovingtoadayofdoom。\"Thereseemsundersuchcircumstancesasthesenovarietyinthematerialcontentofourthought,andwhatwenoticeappears,ifanything,tobethepureseriesofdurationsbudding,asitwere,andgrowingbeneathourindrawngaze。Isthisreallysoornot?Thequestionisimportant,for,iftheexperiencebewhatitroughlyseems,wehaveasortofspecialsenseforpuretime——asensetowhichemptydurationisanadequatestimulus;

  whileifitbeanillusion,itmustbethatourperceptionoftime’sflight,intheexperiencesquoted,isduetothefillingofthetime,andtoourmemoryofacontentwhichithadamomentprevious,andwhichwefeeltoagreeordisagreewithitscontentnow。

  Ittakesbutasmallexertionofintrospectiontoshow[p。620]thatthelatteralternativeisthetrueone,andthatwecannomoreintuitadurationthanwecanintuitanextension,devoidofallsensiblecontent。Justaswithclosedeyesweperceiveadarkvisualfieldinwhichacurdlingplayofobscurestluminosityisalwaysgoingon;so,beweneversoabstractedfromdistinctoutwardimpressions,wearealwaysinwardlyimmersedinwhatWundthassomewherecalledthetwilightofourgeneralconsciousness。Ourheart-beats,ourbreathing,thepulsesofourattention,fragmentsofwordsorsentencesthatpassthroughourimagination,arewhatpeoplethisdimhabitat。Now,alltheseprocessesarerhythmical,andareapprehendedbyus,astheyoccur,intheirtotality;thebreathingandpulsesofattention,ascoherentsuccessions,eachwithitsriseandfall;theheart-beatssimilarly,onlyrelativelyfarmorebrief;thewordsnotseparately,butinconnectedgroups。Inshort,emptyourmindsaswemay,someformofchangingprocessremainsforustofeel,andcannotbeexpelled。Andalongwiththesenseoftheprocessanditsrhythmgoesthesenseofthelengthoftimeitlasts。Awarenessofchangeisthustheconditiononwhichourperceptionoftime’sflowdepends;butthereexistsnoreasontosupposethatemptytime’sownchangesaresufficientfortheawarenessofchangetobearoused。Thechangemustbeofsomeconcretesort——anoutwardorinwardsensibleseries,oraprocessofattentionorvolition。[32]

  [p。621]Andhereagainwehaveananalogywithspace。Theearliestformofdistinctspace-perceptionisundoubtedlythatofamovementoversomeoneofoursensitivesurfaces,andthismovementisoriginallygivenasasimplewholeoffeeling,andisonlydecomposedintoitselements——successivepositionssuccessivelyoccupiedbythemovingbody——whenoureducationindiscriminationismuchadvanced。[p。622]Butamovementisachange,aprocess;soweseethatinthetime-worldandthespace-worldalikethefirstknownthingsarenotelements,butcombinations,notseparateunits,butwholesalreadyformed。Theconditionofbeingofthewholesmaybetheelements;buttheconditionofourknowingtheelementsisourhavingalreadyfeltthewholesaswholes。

  Intheexperienceofwatchingemptytimeflow——’empty’tobetakenhereafterintherelativesensejustsetforth——wetellitoffinpulses。

  Wesay’now!now!now!’orwecount’more!more!more!’aswefeelitbud。

  Thiscompositionoutofunitsofdurationiscalledthelawoftime’sdiscreteflow。Thediscretenessis,however,merelyduetothefactthatoursuccessiveactsofrecognitionorapperceptionofwhatitisarediscrete。Thesensationisascontinuousasanysensationcanbe。Allcontinuoussensationsarenamedinbeats。Wenoticethatacertainfinite’more’ofthemispassingoralreadypast。ToadoptHodgson’simage,thesensationisthemeasuring-tape,theperceptionthedividing-enginewhichstampsitslength。Aswelistentoasteadysound,wetakeitinindiscretepulsesofrecognition,callingitsuccessively’thesame!thesame!thesame!’Thecasestandsnootherwisewithtime。

  Afterasmallnumberofbeatsourimpressionoftheamountwehavetoldoffbecomesquitevague。Ouronlywayofknowingitaccuratelyisbycounting,ornoticingtheclock,orthroughsomeothersymbolicconception。[33]Whenthetimesexceedhoursordays,theconceptionisabsolutelysymbolic。

  Wethinkoftheamountwemeaneithersolelyasaname,orbyrunningoverafewsalientdatestherein,withnopretenceofimaginingthefulldurationsthatliebetweenthem。Noonehasanythinglikeaperceptionofthegreaterlengthofthetimebetweennowandthefirstcenturythanofthatbetweennowandthetenth。Toanhistorian,[p。623]itistrue,thelongerintervalwillsuggestahostofadditionaldatesandevents,andsoappearamoremultitudinousthing。Andforthesamereasonmostpeoplewillthinktheydirectlyperceivethelengthofthepastfortnighttoexceedthatofthepastweek。Butthereisproperlynocomparativetimeintuitioninthesecasesatall。Itisbutdatesandevents,representingtime;theirabundancesymbolizingitslength。Iamsurethatthisisso,evenwherethetimescomparedarenomorethananhourorsoinlength。ItisthesamewithSpacesofmanymiles,whichwealwayscomparewitheachotherbythenumberswhichmeasurethem。[34]

  [p。624]Fromthiswepassnaturallytospeakofcertainfamiliarvariationsinourestimationoflengthsoftime。Ingeneral,atimefilledwithvariedandinterestingexperiencesseemsshortinpassing,butlongaswelookback。Ontheotherhand,atractoftimeemptyofexperiencesseemslonginpassing,butinretrospectshort。Aweekoftravelandsight-seeingmaysubtendananglemorelikethreeweeksinthememory;

  andamonthofsicknesshardlyyieldsmorememoriesthanaday。Thelengthinretrospectdependsobviouslyonthemultitudinousnessofthememorieswhichthetimeaffords。Manyobjects,events,changes,manysubdivisions,immediatelywidentheviewaswelookback。Emptiness,monotony,familiarity,makeitshrivelup。InVonHoltei’s’Vagabonds’oneAntonisdescribedasrevisitinghisnativevillage。

  \"Sevenyears,\"heexclaims,\"sevenyearssinceIranaway!Morelikeseventyitseems,somuchhashappened。Icannotthinkofitallwithoutbecomingdizzy——atanyratenotnow。Andyetagain,whenIlookatthevillage,atthechurch-tower,itseemsasifIcouldhardlyhavebeensevendaysaway。\"

  Prof。Lazarus[35]fromwhomIborrowthisquotation,thusexplainsbothofthesecontrastedillusionsbyourprincipleoftheawakenedmemoriesbeingmultitudinousorfew:

  \"Thecircleofexperiences,widelyextended,richinvariety,whichhehadinviewonthedayofhisleavingthevillagerisesnowinhismindasitsimageliesbeforehim。Andwithit——inrapidsuccessionandviolentmotion,notinchronologicorder,orfromchronologicmotives,butsuggestingeachotherbyallsortsofconnections——arisemassiveimagesofallhisrichvagabondageandrovinglife。Theyrollandwaveconfusedlytogether,firstperhapsonefromthefirstyear,thenfromthesixth,soonfromthesecond,againfromthefifth,the[p。625]first,etc。,untilitseemsasifseventyyearsmusthavebeenthere,andhereelswiththefulnessofhisvision……Thentheinnereyeturnsawayfromallthispast。

  Theouteroneturnstothevillage,especiallytothechurch-tower。Thesightofitcallsbacktheoldsightofit,sothattheconsciousnessisfilledwiththatalone,oralmostalone。Theonevisioncomparesitselfwiththeother,andlookssonear,sounchanged,thatitseemsasifonlyaweekoftimecouldhavecomebetween。\"

  Thesamespaceoftimeseemsshorteraswegrowolder——thatis,thedays,themonths,andtheyearsdoso;whetherthehoursdosoisdoubtful,andtheminutesandsecondstoallappearanceremainaboutthesame。

  \"Whoevercountsmanylustrainhismemoryneedonlyquestionhimselftofindthatthelastofthese,thepastfiveyears,havespedmuchmorequicklythantheprecedingperiodsofequalamount。Letanyonerememberhislasteightortenschoolyears:itisthespaceofacentury。Comparewiththemthelasteightortenyearsoflife:itisthespaceofanhour。\"

  SowritesProf。PaulJanet,[36]andgivesasolutionwhichcanhardlybesaidtodiminishthemystery。Thereisalaw,hesays,bywhichtheapparentlengthofanintervalatagivenepochofaman’slifeisproportionaltothetotallengthofthelifeitself。Achildof10feelsayearas1/10

  ofhiswholelife——amanof50as1/50,thewholelifemeanwhileapparentlypreservingaconstantlength。Thisformularoughlyexpressesthephenomena,itistrue,butcannotpossiblybeanelementarypsychiclaw;anditiscertainthat,ingreatpartatleast,theforeshorteningoftheyearsaswegrowolderisduetothemonotonyofmemory’scontent,andtheconsequentsimplificationofthebackward-glancingview。Inyouthwemayhaveanabsolutelynewexperience,subjectiveorobjective,everyhouroftheday。Apprehensionisvivid,retentivenessstrong,andourrecollectionsofthattime,likethoseofatimespentinrapidandinterestingtravel,areofsomethingintricate,multitudinous,andlong-drawn-out。Butaseachpassingyearconvertssomeofthisexperienceintoautomaticroutinewhichwehardlynoteatall,thedaysandtheweekssmooththemselvesoutinrecollectiontocontentlessunits,andtheyearsgrowhollowandcollapse。

  [p。626]Somuchfortheapparentshorteningoftractsoftimeinretrospect。

  Theyshorteninpassingwheneverwearesofullyoccupiedwiththeircontentasnottonotetheactualtimeitself。Adayfullofexcitement,withnopause,issaidtopass’ereweknowit。’Onthecontrary,adayfullofwaiting,ofunsatisfieddesireforchange,willseemasmalleternity。Tædium,ennui,Langweile,boredom,arewordsforwhich,probably,everylanguageknowntomanhasitsequivalent。

  Itcomesaboutwhenever,fromtherelativeemptinessofcontentofatractoftime,wegrowattentivetothepassageofthetimeitself。Expecting,andbeingreadyfor,anewimpressiontosucceed;whenitfailstocome,wegetanemptytimeinsteadofit;andsuchexperiences,ceaselesslyrenewed,makeusmostformidablyawareoftheextentofthemeretimeitself。[37]

  Closeyoureyesandsimplywaittohearsomebodytellyouthataminutehaselapsed。Thefulllengthofyourleisurewithitseemsincredible。

  Youengulfyourselfintoitsbowelsasintothoseofthatinterminablefirstweekofanoceanvoyage,andfindyourselfwonderingthathistorycanhaveovercomemanysuchperiodsinitscourse。Allbecauseyouattendsocloselytothemerefeelingofthetimeperse,andbecauseyourattentiontothatissusceptibleofsuchfine-grainedsuccessivesubdivision。

  Theodiousnessofthewholeexperiencecomesfromitsinsipidity;

  forstimulationistheindispensablerequisiteforpleasureinanexperience,andthefeelingofbaretimeistheleaststimulatingexperiencewecanhave。[38]Thesensationoftædiumisaprotest,saysVolkmann,againsttheentirepresent。

  [p。627]Exactlyparallelvariationsoccurinourconsciousnessofspace。

  Aroadwewalkbackover,hopingtofindateachstepanobjectwehavedropped,seemstouslongerthanwhenwewalkedoverittheotherway。

  Aspacewemeasurebypacingappearslongerthanonewetraversewithnothoughtofitslength。Andingeneralanamountofspaceattendedtoinitselfleaveswithusmoreimpressionofspaciousnessthanoneofwhichweonlynotethecontent。[39]

  Idonotsaythateverythinginthesefluctuationsofestimatecanbeaccountedforbythetime’scontentbeingcrowdedandinteresting,orsimpleandtame。Bothintheshorteningoftimebyoldageandinitslengtheningbyennuisomedeepercausemaybeatwork。Thiscausecanonlybeascertained,ifitexist,byfindingoutwhyweperceivetimeatall。Tothisinquiryletus,thoughwithoutmuchhope,proceed。THEFEELINGOFPASTTIMEISAPRESENTFEELING。

  Ifaskedwhyweperceivethelightofthesun,orthesoundofanexplosion,wereply,\"Becausecertainouterforces,ether-wavesorair-waves,smiteuponthebrain,awakeningthereinchanges,towhichtheconsciousperceptions,lightandsound,respond。\"Butwehastentoaddthatneitherlightnorsoundcopyormirrortheether-orair-waves;theyrepresentthemonlysymbolically。Theonlycase,saysHelmholtz,inwhichsuchcopyingoccurs,andinwhich[p。628]

  \"ourperceptionscantrulycorrespondwithouterreality,isthatofthetime-successionofphenomena。Simultaneity,succession,andtheregularreturnofsimultaneityorsuccession,canobtainaswellinsensationsasinouterevents。Events,likeourperceptionsofthem,takeplaceintime,sothatthetime-relationsofthelattercanfurnishatruecopyofthoseoftheformer。Thesensationofthethunderfollowsthesensationofthelightningjustasthesonorousconvulsingoftheairbytheelectricdischargereachestheobserver’splacelaterthanthatoftheluminiferousether。\"[40]

  Oneexperiencesanalmostinstinctiveimpulse,inpursuingsuchreflectionsasthese,tofollowthemtoasortofcrudespeculativeconclusion,andtothinkthathehasatlastgotthemysteryofcognitionwhere,touseavulgarphrase,’thewoolisshort。’Whatmorenatural,wesay,thanthatthesequencesanddurationsofthingsshouldbecomeknown?Thesuccessionoftheouterforcesstampsitselfasalikesuccessionuponthebrain。

  Thebrain’ssuccessivechangesarecopiedexactlybycorrespondinglysuccessivepulsesofthementalstream。Thementalstream,feelingitself,mustfeelthetime-relationsofitsownstates。Butasthesearecopiesoftheoutwardtime-relations,somustitknowthemtoo。Thatistosay,theselattertime-relationsarousetheirowncognition;or,inotherwords,themereexistenceoftimeinthosechangesoutofthemindwhichaffectthemindisasufficientcausewhytimeisperceivedbythemind。

  Thisphilosophyisunfortunatelytoocrude。Eventhoughweweretoconceivetheoutersuccessionsasforcesstampingtheirimageonthebrain,andthebrain’ssuccessionsasforcesstampingtheirimageonthemind,[41]still,betweenthemind’sownchangesbeingsuccessive,andknowingtheirownsuccession,liesasbroadachasmasbetweentheobjectandsubjectofanycaseofcognitionintheworld。Asuccessionoffeelings,inandofitself,isnotafeelingofsuccession。Andsince,tooursuccessivefeelings,afeelingoftheirownsuccessionisadded,thatmustbetreatedasan[p。629]additionalfactrequiringitsownspecialelucidation,whichthistalkaboutoutertime-relationsstampingcopiesofthemselveswithin,leavesalluntouched。

  Ihaveshown,attheoutsetofthearticle,thatwhatispast,tobeknownaspast,mustbeknownwithwhatispresent,andduringthe’present’spotoftime。Astheclearunderstandingofthispointhassomeimportance,letme,attheriskofrepetition,recurtoitagain。

  Volkmannhasexpressedthematteradmirably,asfollows:

  \"Onemightbetemptedtoanswerthequestionoftheoriginofthetime-ideabysimplypointingtothetrainofideas,whosevariousmembers,startingfromthefirst,successivelyattaintofullclearness。Butagainstthisitmustbeobjectedthatthesuccessiveideasarenotyettheideaofsuccession,becausesuccessioninthoughtisnotthethoughtofsuccession。

  IfideaAfollowsideaB,consciousnesssimplyexchangesoneforanother。

  ThatBcomesafterAisforourconsciousnessanon-existentfact;

  forthisafterisgivenneitherinBnorinA;andnothirdideahasbeensupposed。ThethinkingofthesequenceofBuponAisanotherkindofthinkingfromthatwhichbroughtforthAandthenbroughtforthB;andthisfirstkindofthinkingisabsentsolongasmerelythethinkingofAandthethinkingofBarethere。Inshort,whenwelookatthemattersharply,wecometothisantithesis,thatifAandBaretoberepresentedasoccurringinsuccessiontheymustbesimultaneouslyrepresented;

  ifwearetothinkofthemasoneaftertheother,wemustthinkthembothatonce。\"[42]

  Ifwerepresenttheactualtime-streamofourthinkingbyanhorizontalline,thethoughtofthestreamorofanysegmentofitslength,past,present,ortocome,mightbefiguredinaperpendicularraiseduponthehorizontalatacertainpoint。Thelengthofthisperpendicularstandsforacertainobjectorcontent,whichinthiscaseisthetimethoughtof,andallofwhichisthoughtoftogetherattheactualmomentofthestreamuponwhichtheperpendicularisraised。Mr。JamesWardputsthematterverywellinhismasterlyarticle’Psychology’inthenintheditionoftheEncyclopædiaBritannica,page64。Hesays:

  \"Wemay,ifwerepresentsuccessionasaline,representsimultaneityasasecondlineatrightanglestothefirst;emptytime——ortime-lengthwithouttime-breadth,wemaysay——isamereabstraction。Now,itiswiththeformerlinethatwehavetodointreatingoftime[p。630]asitis,andwiththelatterintreatingofourintuitionoftime,where,justasinaperspectiverepresentationofdistance,weareconfinedtolinesinaplaneatrightanglestotheactuallineofdepth。Inasuccessionofevents,sayofsense-impressions,ABCDE……,thepresenceofBmeanstheabsenceofAandC,butthepresentationofthissuccessioninvolvesthesimultaneouspresenceinsomemodeorotheroftwoormoreofthepresentationsABCD。Inreality,past,present,andfuturearedifferencesintime,butinpresentationallthatcorrespondstothesedifferencesisinconsciousnesssimultaneously。\"

  Thereisthusasortofperspectiveprojectionofpastobjectsuponpresentconsciousness,similartothatofwidelandscapesuponacamera-screen。

  Andsincewesawawhileagothatourmaximumdistinctintuitionofdurationhardlycoversmorethanadozensecondswhileourmaximumvagueintuitionisprobablynotmorethanthatofaminuteorso,wemustsupposethatthisamountofdurationispicturedfairlysteadilyineachpassinginstantofconsciousnessbyvirtueofsomefairlyconstantfeatureinthebrain-processtowhichtheconsciousnessistied。Thisfeatureofthebrain-process,whateveritbe,mustbethecauseofourperceivingthefactoftimeatall。[43]Thedurationthussteadilyperceivedishardlymorethanthe’speciouspresent,’asitwascalledafewpagesback。Itscontentisinaconstantflux,eventsdawningintoitsforwardendasfastastheyfadeoutofitsrearwardone,andeachofthemchangingitstime-coefficientfrom’notyet,’or’notquiteyet,’to’justgone’or’gone,’asitpassesby。Meanwhile,thespeciouspresent,theintuitedduration,standspermanent,liketherainbowonthewaterfall,withitsownqualityunchangedbytheeventsthatstreamthroughit。Eachofthese,asitslipsout,retainsthepowerofbeingreproduced;

  andwhenreproduced,isreproducedwiththedurationandneighborswhichitoriginallyhad。Pleaseobserve,however,thatthereproductionofanevent,afterithasoncecompletelydroppedoutoftherearwardendofthespeciouspresent,isanentirelydifferentpsychicfactfromitsdirectperceptioninthespeciouspresentasathingimmediatelypast。

  Acreaturemightbeentirelydevoidofreproductivememory,andyethavethetime-sense;butthe[p。631]latterwouldbelimited,inhiscase,tothefewsecondsimmediatelypassingby。Timeolderthanthathewouldneverrecall。Iassumereproductioninthetext,becauseIamspeakingofhumanbeingswhonotoriouslypossessit。Thusmemorygetsstrewnwithdatedthings——datedinthesenseofbeingbeforeoraftereachother。[44]Thedateofathingisamererelationofbeforeorafterthepresentthingorsomepastorfuturething。Somethingswedatesimplybymentallytossingthemintothepastorfuturedirection。

  SoinspacewethinkofEnglandassimplytotheeastward,ofCharlestonaslyingsouth。But,again,wemaydateaneventexactly,byfittingitbetweentwotermsofapastorfutureseriesexplicitlyconceived,justaswemayaccuratelythinkofEnglandorCharlestonbeingjustsomanymilesaway。[45]

  Thethingsandeventsthusvaguelyorexactlydatedbecomethenceforwardthosesignsandsymbolsoflongertime-spaces,ofwhichwepreviouslyspoke。

  Accordingaswethinkofamultitudeofthem,oroffew,soweimaginethetimetheyrepresenttobelongorshort。Buttheoriginalparagonandprototypeofallconceivedtimesisthespeciouspresent,theshortdurationofwhichweareimmediatelyandincessantlysensible。[p。632]TOWHATCEREBRALPROCESSISTHESENSEOFTIMEDUE?

  Now,towhatelementinthebrain-processmaythissensibilitybedue?Itcannot,aswehaveseen,beduetothemeredurationitselfoftheprocess;itmustbeduetoanelementpresentateverymomentoftheprocess,andthiselementmustbearthesameinscrutablesortofrelationtoitscorrelativefeelingwhichallotherelementsofneuralactivitybeartotheirpsychicproducts,bethelatterwhattheymay。Severalsuggestionshavebeenmadeastowhattheelementisinthecaseoftime。

  Treatingoftheminanote,[46]Iwilltrytoexpressbrieflytheonlyconclusionwhich[p。633]seemstoemergefromastudyofthemandofthefacts——unripethoughthatconclusionbe。

  [p。634]Thephenomenaof’summationofstimuli’inthenervoussystemprovethateachstimulusleavessomelatentactivity[p。635]behinditwhichonlygraduallypassesaway。Seeabove,pp。82-85。Psychologicalproofofthesamefactisaffordedbythose’after-images’whichweperceivewhenasensorialstimulusisgone。Wemayreadoffpeculiaritiesinanafter-image,leftbyanobjectontheeye,whichwefailedtonoteintheoriginal。Wemay’harkback’andtakeinthemeaningofasoundseveralsecondsafterithasceased。Delayforaminute,however,andtheechoitselfoftheclockorthequestionismute;presentsensationshavebanisheditbeyondrecall。Withthefeelingofthepresentthingtheremustatalltimesminglethefadingechoofallthoseotherthingswhichthepreviousfewsecondshavesupplied。Or,tostateitinneuralterms,thereisateverymomentacumulationofbrain-processesoverlappingeachother,ofwhichthefainteronesarethedyingphasesofprocesseswhichbutshortlypreviouswereactiveinamaximaldegree。TheAMOUNTOFTHEOVERLAPPINGdeterminesthefeelingoftheDURATIONOCCUPIED。WHATEVENTSshallappeartooccupythedurationdependsonjustWHATPROCESSEStheoverlappingprocessesare。Weknowsolittleoftheintimatenatureofthebrain’sactivitythatevenwhereasensationmonotonouslyendures,wecannotsaythattheearliermomentsofitdo[p。636]notleavefadingprocessesbehindwhichcoexistwiththoseofthepresentmoment。Durationandeventstogetherformourintuitionofthespeciouspresentwithitscontent。[47]Whysuchanintuitionshouldresultfromsuchacombinationofbrain-processesIdonotpretendtosay。AllIaimatistostatethemostelementalformofthepsycho-physicalconjunction。

  Ihaveassumedthatthebrain-processesaresensationalones。ProcessesofactiveattentionseeMr。Ward’saccountinthelongfoot-notewillleavesimilarfadingbrain-processesbehind。Ifthementalprocessesareconceptual,acomplicationisintroducedofwhichIwillinamomentspeak。

  Meanwhile,stillspeakingofsensationalprocesses,aremarkofWundt’swillthrowadditionallightontheaccountIgive。Asisknown,Wundtandothershaveprovedthateveryactofperceptionofasensorialstimulustakesanappreciabletime。Whentwodifferentstimuli——e。g。asightandasound——aregivenatonceornearlyatonce,wehavedifficultyinattendingtoboth,andmaywronglyjudgetheirinterval,oreveninverttheirorder。

  Now,astheresultofhisexperimentsonsuchstimuli,Wundtlaysdownthislaw:[48]thatofthethreepossibledeterminationswemaymakeoftheirorder——

  \"namely,simultaneity,continuoustransition,anddiscontinuoustransition——onlythefirstandlastarerealized,neverthesecond。Invariably,whenwefailtoperceivetheimpressionsassimultaneous,wenoticeashorterorlongeremptytimebetweenthem,whichseemstocorrespondtothesinkingofoneoftheideasandtotheriseoftheother……Forourattentionmayshareitselfequallybetweenthetwoimpressions,whichwillthencomposeonetotalpercept[andbesimultaneouslyfelt];oritmaybesoadaptedtooneeventastocause[p。637]ittobeperceivedimmediately,andthenthesecondeventcanbeperceivedonlyafteracertaintimeoflatency,duringwhichtheattentionreachesitseffectivemaximumforitanddiminishesforthefirstevent。Inthiscasetheeventsareperceivedastwo,andinsuccessiveorder——thatis,asseparatedbyatime-intervalinwhichattentionisnotsufficientlyaccommodatedtoeithertobringadistinctperceptionabout……Whilewearehurryingfromonetotheother,everythingbetweenthemvanishesinthetwilightofgeneralconsciousness。\"[49]

  Onemightcallthisthelawofdiscontinuoussuccessionintime,ofperceptstowhichwecannoteasilyattendatonce。Eachperceptthenrequiresaseparatebrain-process;andwhenonebrain-processisatitsmaximum,theotherwouldappearperforcetobeineitherawaningorawaxingphase。Ifourtheoryofthetime-feelingbetrue,emptytimemustthensubjectivelyappeartoseparatethetwopercepts,nomatterhowclosetogethertheymayobjectivelybe;for,accordingtothattheory,thefeelingofatime-durationistheimmediateeffectofsuchanoverlappingofbrain-pro-

  [p。638]cessesofdifferentphase——whereverandfromwhatevercauseitmayoccur。

  Topass,now,toconceptualprocesses:SupposeIthinkoftheCreation,thenoftheChristianera,thenofthebattleofWaterloo,allwithinafewseconds。Thesemattershavetheirdatesfaroutsidethespeciouspresent。

  TheprocessesbywhichIthinkthem,however,alloverlap。Whatevents,then,doesthespeciouspresentseemtocontain?Simplymysuccessiveactsofthinkingtheselong-pastthings,notthelong-pastthingsthemselves。Astheinstantly-presentthoughtmaybeofalong-pastthing,sothejust-pastthoughtmaybeofanotherlong-pastthing。Whenalong-pasteventisreproducedinmemoryandconceivedwithitsdate,thereproductionandconceivingtraversethespeciouspresent。Theimmediatecontentofthelatteristhusallmydirectexperiences,whethersubjectiveorobjective。Someofthesemeanwhilemayberepresentativeofotherexperiencesindefinitelyremote。

  Thenumberofthesedirectexperienceswhichthespeciouspresentandimmediately-intuitedpastmayembracemeasurestheextentofour’primary,’

  asExnercallsit,or,asRichetcallsit,ofour’elementary’memory。[50]

  Thesensationresultantfromtheoverlappingisthatofthedurationwhichtheexperiencesseemtofill。Asisthenumberofanylargersetofeventstothatoftheseexperiences,sowesupposeisthelengthofthatdurationtothisduration。Butofthelongerdurationwehavenodirect’realizingsense。’Thevariationsinourappreciationofthesameamountofrealtimemaypossiblybeexplainedbyalterationsintherateoffadingintheimages,producingchangesinthecomplicationofsuperposedprocesses,towhichchangeschangedstatesofconsciousnessmaycorrespond。Buthoweverlongwemayconceiveaspaceoftimetobe,theobjectiveamountofitwhichisdirectlyperceivedatanyonemomentbyuscanneverexceedthescopeofour’primarymemory’atthemomentinquestion。[51]

  [p。639]Wehaveeveryreasontothinkthatcreaturesmaypossiblydifferenormouslyintheamountsofdurationwhichtheyintuitivelyfeel,andinthefinenessoftheeventsthatmayfillit。VonBærhasindulged[52]

  insomeinterestingcomputationsoftheeffectofsuchdifferencesinchangingtheaspectofNature。Supposewewereable,withinthelengthofasecond,tonote10,000eventsdistinctly,insteadofbarely10,asnow;ifourlifewerethendestinedtoholdthesamenumberofimpressions,itmightbe1000timesasshort。Weshouldlivelessthanamonth,andpersonallyknownothingofthechangeofseasons。Ifborninwinter,weshouldbelieveinsummeraswenowbelieveintheheatsoftheCarboniferousera。Themotionsoforganicbeingswouldbesoslowtooursensesastobeinferred,notseen。Thesunwouldstandstillinthesky,themoonbealmostfreefromchange,andsoon。Butnowreversethehypothesisandsupposeabeingtogetonlyone1000thpartofthesensationsthatwegetinagiventime,andconsequentlytolive1000timesaslong。Wintersandsummerswillbetohimlikequartersofanhour。Mushroomsandtheswifter-growingplantswillshootintobeingsorapidlyastoappearinstantaneouscreations;

  annualshrubswillriseandfallfromtheearthlikerestlesslyboiling-watersprings;themotionsofanimalswillbeasinvisibleasaretousthemovementsofbulletsandcannon-balls;thesunwillscourthroughtheskylikeameteor,leavingafierytrailbehindhim,etc。Thatsuchimaginarycasesbarringthesuperhumanlongevitymayberealizedsomewhereintheanimalkingdom,itwouldberashtodeny。

  \"Agnat’swings,\"saysMrSpencer,[53]\"maketenorfifteenthousandstrokesasecond。Eachstrokeimpliesaseparatenervousaction。Eachsuchnervousactionorchangeinanervouscentreisprobablyasappreciablebythegnatasisaquickmovementofhisarmbyaman。Andifthis,oranythinglikethis,isthefact,thenthetimeoccupiedbyagivenexternalchange,measuredbymanymovementsintheonecase,mustseemmuchlongerthanintheothercase,whenmeasuredbyonemovement。\"

  Inhashish-intoxicationthereisacuriousincreaseintheapparenttime-perspective。Weutterasentence,andere[p。640]theendisreachedthebeginningseemsalreadytodatefromindefinitelylongago。Weenterashortstreet,anditisasifweshouldnevergettotheendofit。ThisalterationmightconceivablyresultfromanapproachtotheconditionofVonBær’sandSpencer’sshort-livedbeings。Ifourdiscriminationofsuccessionsbecamefiner-grained,sothatwenotedtenstagesinaprocesswherepreviouslyweonlynotedone;andifatthesametimetheprocessesfadedtentimesasfastasbefore;wemighthaveaspeciouspresentofthesamesubjectivelengthasnow,givingusthesametime-feelingandcontainingasmanydistinguishablesuccessiveevents,butoutfromtheearlierendofitwouldhavedroopedninetenthsoftherealeventsitnowcontains。Theywouldhavefallenintothegeneralreservoirofmerelydatedmemories,reproducibleatwill。Thebeginningofoursentenceswouldhavetobeexpresslyrecalled;eachwordwouldappeartopassthroughconsciousnessatatenthofitsusualspeed。Theconditionwould,inshort,beexactlyanalogoustotheenlargementofspacebyamicroscope;fewerrealthingsatonceintheimmediatefieldofview,buteachofthemtakingupmorethanitsnormalroom,andmakingtheexcludedonesseemunnaturallyfaraway。

  Underotherconditions,processesseemtofaderapidlywithoutthecompensatingincreaseinthesubdivisibilityofsuccessions。Heretheapparentlengthofthespeciouspresentcontracts。Consciousnessdwindlestoapoint,andlosesallintuitivesenseofthewhenceandwhitherofitspath。Expressactsofmemoryreplacerapidbird’s-eyeviews。Inmyowncase,somethinglikethisoccursinextremefatigue。Longillnessesproduceit。Occasionally,itappearstoaccompanyaphasia。[54]Itwouldbevaintoseek[p。641]

  toimaginetheexactbrain-changeinanyofthesecases。Butwemustadmitthepossibilitythattosomeextentthevariationsoftime-estimatebetweenyouthandage,andexcitementandennui,areduetosuchcauses,moreimmediatethantotheoneweassignedsometimeago。

  Butwhetherourfeelingofthetimewhichimmediately-past[55]eventshavefilledbeofsomethinglongorofsomethingshort,itisnotwhatitisbecausethoseeventsarepast,butbecausetheyhaveleftbehindthemprocesseswhicharepresent。Tothoseprocesses,howevercaused,themindwouldstillrespondbyfeelingaspeciouspresent,withonepartofitjustvanishingorvanishedintothepast。AstheCreatorissupposedtohavemadeAdamwithanavel——signofabirthwhichneveroccurred——soHemightinstantaneouslymakeamanwithabraininwhichwereprocessesjustlikethe’fading’onesofanordinarybrain。

  Thefirstrealstimulusaftercreationwouldsetupaprocessadditionaltothese。Theprocesseswouldoverlap;andthenew-createdmanwouldunquestionablyhavethefeeling,attheveryprimalinstantofhislife,ofhavingbeeninexistencealreadysomelittlespaceoftime。

  [p。642]Letmesumup,now,bysayingthatweareconstantlyconsciousofacertainduration——thespeciouspresent——varyinginlengthfromafewsecondstoprobablynotmorethanaminute,andthatthisdurationwithitscontentperceivedashavingonepartearlierandtheotherpartlateristheoriginalintuitionoftime。Longertimesareconceivedbyadding,shorteronesbydividing,portionsofthisvaguelyboundedunit,andarehabituallythoughtbyussymbolically。Kant’snotionofanintuitionofobjectivetimeasaninfinitenecessarycontinuumhasnothingtosupportit。Thecauseoftheintuitionwhichwereallyhavecannotbethedurationofourbrain-processesorourmentalchanges。Thatdurationisrathertheobjectoftheintuitionwhich,beingrealizedateverymomentofsuchduration,mustbeduetoapermanentlypresentcause。Thiscause——probablythesimultaneouspresenceofbrain-processesofdifferentphase-fluctuates;andhenceacertainrangeofvariationintheamountoftheintuition,andinitssubdivisibility,accrues。

  Footnotes[1]ThischapterisreprintedalmostverbatimfromtheJournalofSpeculativePhilosophy,vol。XX。p。374。

  [2]JamesMill,Analysis,vol。I。p。319J。S。Mill’sEdition。

  [3]\"WhatIfind,whenIlookatconsciousnessatall,is,thatwhatIcannotdivestmyselfof,ornothaveinconsciousness,ifIhaveconsciousnessatall,isasequenceofdifferentfeelings……Thesimultaneousperceptionofbothsub-feelings,whetheraspartsofacoexistenceorofasequence,isthetotalfeeling——theminimumofconsciousness——andthisminimumhasduration……Time-duration,however,isinseparablefromtheminimum,notwithstandingthat,inanisolatedmoment,wecouldnottellwhichpartofitcamefirst,whichlast……Wedonotrequiretoknowthatthesub-feelingscomeinsequence,firstone,thentheother;nortoknowwhatcominginsequencemeans。Butwehave,inanyartificiallyisolatedminimumofconsciousness,therudimentsoftheperceptionofformerandlatterintime,inthesub-feelingthatgrowsfainter,andthesub-feelingthatgrowsstronger,andthechangebetweenthem……

  \"Inthenextplace,Iremarkthattherudimentsofmemoryareinvolvedintheminimumofconsciousness。Thefirstbeginningsofitappearinthatminimum,justasthefirstbeginningsofperceptiondo。Aseachmemberofthechangeordifferencewhichgoestocomposethatminimumistherudimentofasingleperception,sothepriorityofonemembertotheother,althoughbotharegiventoconsciousnessinoneempiricalpresentmoment,istherudimentofmemory。Thefactthattheminimumofconsciousnessisdifferenceorchangeinfeelings,istheultimateexplanationofmemoryaswellasofsingleperceptions。Aformerandalatterareincludedintheminimumofconsciousness;andthisiswhatismeantbysayingthatallconsciousnessisintheformoftime,orthattimeistheformoffeeling,theformofsensibility。Crudelyandpopularlywedividethecourseoftimeintopast,present,andfuture;but,strictlyspeaking,thereisnopresent;

  itiscomposedofpastandfuturedividedbyanindivisiblepointorinstant。

  Thatinstant,ortime-point,isthestrictpresent。Whatwecall,loosely,thepresent,isanempiricalportionofthecourseoftime,containingatleastaminimumofconsciousness,inwhichtheinstantofchangeisthepresenttime-point……Ifwetakethisasthepresenttime-point,itisclearthattheminimumoffeelingcontainstwoportions——asub-feelingthatgoesandasub-feelingthatcomes。Oneisremembered,theotherimagined。

  Thelimitsofbothareindefiniteatbeginningandendoftheminimum,andreadytomeltintootherminima,proceedingfromotherstimuli。

  \"Timeandconsciousnessdonotcometousreadymarkedoutintominima;

  wehavetodothatbyreflection,askingourselves,Whatistheleastempiricalmomentofconsciousness?Thatleastempiricalmomentiswhatweusuallycallthepresentmoment;andeventhisistoominuteforordinaryuse;

  thepresentmomentisoftenextendedpracticallytoafewseconds,orevenminutes,beyondwhichwespecifywhatlengthoftimewemean,asthepresenthour,orday,oryear,orcentury。

  \"Butthispopularwayofthinkingimposesitselfongreatnumbersevenofphilosophically-mindedpeople,andtheytalkaboutthepresentasifitwasadatum——asiftimecametousmarkedintopresentperiodslikeameasuring-tape。\"S。H。Hodgson:PhilosophyofReflection,vol。I。pp。248-254。

  \"Therepresentationoftimeagreeswiththatofspaceinthatacertainamountofitmustbepresentedtogether——includedbetweenitsinitialandterminallimit。Acontinuousideation,flowingfromonepointtoanother,wouldindeedoccupytime,butnotrepresentit,foritwouldexchangeoneelementofsuccessionforanotherinsteadofgraspingthewholesuccessionatonce。Bothpoints——thebeginningandtheend——areequallyessentialtotheconceptionoftime,andmustbepresentwithequalclearnesstogether。\"Herbart:Psychol。alsW。,§115。

  \"Assumethat……similarpendulum-strokesfolloweachotheratregularintervalsinaconsciousnessotherwisevoid。Whenthefirstoneisover,animageofitremainsinthefancyuntilthesecondsucceeds。This,then,reproducesthefirstbyvirtueofthelawofassociationbysimilarity,butatthesametimemeetswiththeaforesaidpersistingimage……Thusdoesthesimplerepetitionofthesoundprovidealltheelementsoftime-perception。

  Thefirstsound[asitisrecalledbyassociation]givesthebeginning,thesecondtheend,andthepersistentimageinthefancyrepresentsthelengthoftheinterval。Atthemomentofthesecondimpression,theentiretime-perceptionexistsatonce,forthenallitselementsarepresentedtogether,thesecondsoundandtheimageinthefancyimmediately,andthefirstimpressionbyreproduction。But,inthesameact,weareawareofastateinwhichonlythefirstsoundexisted,andofanotherinwhichonlyitsimageexistedinthefancy。Suchaconsciousnessasthisisthatoftime……Initnosuccessionofideastakesplace。\"Wundt:

  Physiol。Psych。,1sted。pp。681-2。Noteheretheassumptionthatthepersistenceandthereproductionofanimpressionaretwoprocesseswhichmaygoonsimultaneously。AlsothatWundt’sdescriptionismerelyanattempttoanalyzethe’deliverance’ofatime-perception,andnoexplanationofthemannerinwhichitcomesabout。

  [4]TheAlternative,p。167。

  [5]Locke,inhisdimway,derivedthesenseofdurationfromreflectiononthesuccessionofourideasEssay,bookII。chap。XIV。

  §3;chap。XV。§12。Reidjustlyremarksthatiftensuccessiveelementsaretomakeduration,\"thenonemustmakeduration,otherwisedurationmustbemadeupofpartsthathavenoduration,whichisimpossible……Iconclude,therefore,thattheremustbedurationineverysingleintervalorelementofwhichthewholedurationismadeup。Nothing,indeed,ismorecertainthanthateveryelementarypartofdurationmusthaveduration,aseveryelementarypartofextensionmusthaveextension。Now,itmustbeobservedthatintheseelementsofduration,orsingleintervalsofsuccessiveideas,thereisnosuccessionofideas,yetwemustconceivethemtohaveduration;whencewemayconcludewithcertaintythatthereisaconceptionofdurationwherethereisnosuccessionofideasinthemind。\"IntellectualPowers。essayIII。chap。V。’’Qu’onnecherchepoint,\"saysRoyerCollardintheFragmentsaddedtoJouffroy’sTranslationofReid,\"laduréedanslasuccession;

  onnel’ytrouverajamais;laduréeaprécédé

  lasuccession;innotiondeladuréeaprécédé

  lanotiondelasuccession。Elleenestdonctout-àfaitindépendante,dira-t-on?Oui,elleenesttout-à-faitindépendante。\"

  [6]Physiol。Psych。,\"II。54,55。

  [7]Ibid。II。213。

  [8]PhilosophischeStudien,II。362。

  [9]Countingwasofcoursenotpermitted。Itwouldhavegivenasymbolicconceptandnointuitiveorimmediateperceptionofthetotalityoftheseries。Withcountingwemayofcoursecomparetogetherseriesofanylength——serieswhosebeginningshavefadedfromourmind,andofwhosetotalityweretainnosensibleimpressionatall。Tocountaseriesofclicksisanaltogetherdifferentthingfrommerelyperceivingthemasdiscontinuous。Inthelattercaseweneedonlybeconsciousofthebitsofemptydurationbetweenthem;intheformerwemustperformrapidactsofassociationbetweenthemandasmanynamesofnumbers。

  [10]EstelinWundt’sPhilosophischeStudien,II。

  50。Mehner,ibid。II。571。InDietze’sexperimentsevennumbersofstrokeswerebettercaughtthanoddones,bytheear。Therapidityoftheirsequencehadagreatinfluenceontheresult。Atmorethan4secondsapartitwasimpossibletoperceiveseriesofthemasunitsinallcf。Wundt,Physiol。Psych。,II。214。Theyweresimplycountedassomanyindividualstrokes。Below0。21to0。11second,accordingtotheobserver,judgmentagainbecameconfused。Itwasfoundthattherateofsuccessionmostfavorableforgraspinglongserieswaswhenthestrokesweresoundedatintervalsoffrom0。3\"to0。18\"apart。Seriesof4,6,8,16weremoreeasilyidentifiedthanseriesof10,12,14,18。Thelattercouldhardlybeclearlygraspedatall。Amongoddnumbers,3,5,7weretheserieseasiestcaught;next,9,15;hardestofall,11and13;and17wasimpossibletoapprehend。

  [11]Theexactintervalofthesparkswas0。00205\"。

  Thedoublenessoftheirsnapwasusuallyreplacedbyasingle-seemingsoundwhenitfellto0。00198\",thesoundbecominglouderwhenthesparksseemedsimultaneous。Thedifferencebetweenthesetwointervalsisonly7/100000ofasecond;and,asExnerremarks,ourearandbrainmustbewonderfullyefficientorganstogetdistinctfeelingsfromsoslightanobjectivedifferenceasthis。SeePflüger’sArchiv,Bd。XI。

  [12]Ibid。p。407。Whenthesparksfellsoclosetogetherthattheirirradiation-circlesoverlapped,theyappearedlikeonesparkmovingfromthepositionofthefirsttothatofthesecond;andtheymightthenfolloweachotherascloseas0。015\"withoutthedirectionofthemovementceasingtobeclear。Whenonesparkfellonthecentre,theotheronthemargin,oftheretina,thetime-intervalforsuccessiveapprehensionhadtoberaisedto0。076\"。

  [13]HallandJastrow:StudiesofRhythm。Mind,XI。

  58。

  [14]Nevertheless,multitudinousimpressionsmaybefeltasdiscontinuous,thoughseparatedbyexcessivelyminuteintervalsoftime。GrünhagensaysPflüger’sArchiv,VI。175that10,000

  electricshocksasecondarefeltasinterrupted,bythetongue!。VonWittichibid。II。329,thatbetween1000and2000strokesasecondarefeltasdiscretebythefinger。W。Preyer,ontheotherhandDieGrenzendesEmpfindungsvermögens,etc。,1868,p。15,makescontactsappearcontinuoustothefingerwhen36。8ofthemfollowinasecond。Similarly,MachWienerSitzgsb。,LI。2,142givesabout36。LalanneComptesRendus,LXXXII。p。1314foundsummationoffinger-contactsafter22repetitionsinasecond。Suchdiscrepantfiguresareofdoubtfulworth。Ontheretina20to30impressionsasecondattheveryutmostcanbefeltasdiscretewhentheyfallonthesamespot。Theear,whichbeginstofusestimulitogetherintoamusicaltonewhentheyfollowattherateofalittleover30asecond,canstillfeel132ofthemasecondasdiscontinuouswhentheytaketheshapeof’beats’Helmholtz,Tonempfindungen,3ded。p。270。

  [15]Pflüger’sArchiv,XI。428。AlsoinHerrmann’sHdbh。d。Physiol。,2Bd。,I。Thl。pp。260-262。

  [16]Pflüger’sArchiv,VII。639。TigerstedtBihangtillKongl。SvenskaVetenskaps-Akad。Handl。,Bd。8,Häfte2,Stockholm,1884revisesExner’sfigures,andshowsthathisconclusionsareexaggerated。

  AccordingtoTigerstedt,twoobserversalmostalwaysrightlyappreciated0。05\"or0。06\"ofreaction-timedifference。Halfthetimetheydiditrightlywhenthedifferencesankto0。03\",thoughfrom0。03\"and0。06\"differenceswereoftennotnoticedatall。BuccolafoundLeLeggedelTemponeiFenomenidelPensiero,Milano,1883,p。371that,aftermuchpracticeinmakingrapidreactionsuponasignal,heestimateddirectly,infigures,hisownreaction-time,in10experiments,withanerroroffrom0。010\"to0。018\";

  in6,withoneof0。005\"to0。009\";inone,withoneof0。002\";andin3,withoneof0。003\"。

  [17]\"Mind,XI。611886。

  [18]Mach,WienerSitzungsb。,LI。2。1331865;Estel,loc。cit。p。65;Mehner,loc。cit。p。586;Buccola,op。cit。p378。Fechnerlaborstoprovethathislawisonlyoverlaidbyotherinterferinglawsinthefiguresrecordedbytheseexperimenters;

  buthiscaseseemstometobeoneofdesperateinfatuationwithahobby。

  SeeWundt’sPhilosophischeStudien,III。1。

  [19]CuriousdiscrepanciesexistbetweentheGermanandtheAmericanobserverswithrespecttothedirectionoftheerrorbelowandabovethepointofindifference——differencesperhapsduetothefatigueinvolvedintheAmericanmethod。TheGermanslengthenedintervalsbelowitandshortenedthoseabove。WithsevenAmericansexperimentedonbyStevensthiswasexactlyreversed。TheGermanmethodwastopassivelylistentotheintervals,thenjudge;theAmericanwastoreproducethemactivelybymovementsofthehand。InMehner’sexperimentstherewasfoundasecondindifference-pointatabout5seconds,beyondwhichtimeswerejudgedagaintoolong。Glass,whoseworkonthesubjectisthelatestPhilos。Studien,IV。423,foundwhencorrectionswereallowedforthatalltimesexcept0。8sec。wereestimatedtooshort。Hefoundaseriesofpointsofgreatestrelativeaccuracyviz。,at1。5,2。5,3。75,5,6。25,etc。,secondsrespectively[],and[sic]thoughtthathisobservationsroughlycorroboratedWeber’slaw。As’maximum’and’minimum’areprintedinterchangeablyinGlass’sarticleitishardtofollow。

  [20]WithVierordtandhispupilstheindifferencepointlayashighasfrom1。5sec。to4。9sec。,accordingtotheobservercf。DerZeitsinn,1868,p。112。Inmostoftheseexperimentsthetimeheardwasactivelyreproduced,afterashortpause,bymovementsofthehand,whichwererecorded。WundtgivesgoodreasonsPhysiol。Psych。,II。

  289,290forrejectingVierordt’sfiguresaserroneous。Vierordt’sbook,itshouldbesaid,isfullofimportantmatter,nevertheless。

  [21]Physiol。Psych。,II。286,290。

  [22]PhilosophischeStudien,I。86。

  [23]Mind,XI。400。

  [24]Loc。cit。p。144。

  [25]Op。cit。p。376。Mach’sandBuccola’sfigures,itwillbeobserved,areaboutonehalfoftherest——

  sub-multiples,therefore。Itoughttobeobserved,however,thatBuccola’sfigurehaslittlevalue,hisobservationsnotbeingwellfittedtoshowthisparticularpoint。

  [26]Estel’sfiguresledhimtothinkthatallthemultiplesenjoyedthisprivilege;withMehner,ontheotherhand,onlytheoddmultiplesshoweddiminutionoftheaverageerror;thus,0。71,2。15,3。55,5,6。4,7。8,9。3,and10。65secondwererespectivelyregisteredwiththeleasterror。Cf。Phil。Studien,II。pp。57,562-565。

  [27]Cf。especiallypp。558-561。

  [28]Wundt:Physiol。Psych。,II。287。HallandJastrow:

  Mind,XI。62。

  [29]Mehner:loc。cit。p。553。

  [30]\"Thenumberofdistinguishabledifferencesofspeedbetweentheselimitsis,ashetakescaretoremark,verymuchlargerthan7DerZeitsinn,p。137。

  [31]P。19,§18,112。

  [32]IleavethetextjustasitwasprintedintheJournalofSpeculativePhilosophyfor’Oct。1886’in1887。SincethenMünsterberginhismasterlyBeiträgezurexperimentellenPsychologieHeft2,1889seemstohavemadeitclearwhatthesensiblechangesarebywhichwemeasurethelapseoftime。Whenthetimewhichseparatestwosensibleimpressionsislessthanonethirdofasecond,hethinksitisalmostentirelytheamounttowhichthememory-imageofthefirstimpressionhadfadedwhenthesecondoneovertakesit,whichmakesusfeelhowwidetheyareapartp。29。Whenthetimeislongerthanthis,werely,hethinks,exclusivelyuponthefeelingsofmusculartensionandrelaxation,whichweareconstantlyreceivingalthoughwegivetothemsolittleofourdirectattention。Thesefeelingsareprimarilyinthemusclesbywhichweadoptoursense-organsinattendingtothesignalsused,someofthemusclesbeingintheeyeandearthemselves,someoftheminthehead,neck,etc。Weherejudgetwotime-intervalstobeequalwhenbetweenthebeginningandendofeachwefeelexactlysimilarrelaxationsandsubsequentexpectanttensionsofthesemusclestohaveoccurred。Inreproducingintervalsourselveswetrytomakeourfeelingsofthissortjustwhattheywerewhenwepassivelyheardtheinterval。

  Thesefeelingsbythemselves,however,canonlybeusedwhentheintervalsareveryshort,forthetensionanticipatoryoftheterminalstimulusnaturallyreachesitsmaximumverysoon。Withlongerintervalswetakethefeelingofourinspirationsandexpirationsintoaccount。Withourexpirationsalltheothermusculartensionsinourbodyundergoarhythmicaldecrease;

  withourinspirationsthereversetakesplace。When,therefore,wenoteatime-intervalofseveralsecondswithintenttoreproduceit,whatweseekistomaketheearlierandlaterintervalagreeinthenumberandamountoftheserespiratorychangescombinedwithsense-organadjustmentswithwhichtheyarefilled。Münsterberghasstudiedcarefullyinhisowncasethevariationsoftherespiratoryfactor。Theyaremany;buthesumsuphisexperiencebysayingthatwhetherhemeasuredbyinspirationsthatweredividedbymomentarypausesintosixparts,orbyinspirationsthatwerecontinuous;whetherwithsensorytensionduringinspirationandrelaxationduringexpiration,orbytensionduringbothinspirationandexpiration,separatedbyasuddeninterpolatedrelaxation;whetherwithspecialnoticetakenofthecephalictensions,orofthoseinthetrunkandshoulders,inallcasesalikeandwithoutexceptionheinvoluntarilyendeavored,wheneverhecomparedtwotimesortriedtomakeonethesameastheother,togetexactlythesamerespiratoryconditionsandconditionsoftension,allthesubjectiveconditions,inshort,exactlythesameduringthesecondintervalastheywereduringthefirst。Münsterbergcorroboratedhissubjectiveobservationsbyexperiments。Theobserverofthetimehadtoreproduceasexactlyaspossibleanintervalbetweentwosharpsoundsgivenhimbyanassistant。Theonlyconditionimposeduponhimwasthatheshouldnotmodifyhisbreathingforthepurposesofmeasurement。

  Itwasthenfoundthatwhentheassistantbrokeinatrandomwithhissignals,thejudgmentoftheobserverwasvastlylessaccuratethanwhentheassistantcarefullywatchedtheobserver’sbreathingandmadeboththebeginningofthetimegivenhimandthatofthetimewhichhewastogivecoincidewithidenticalphasesthereof——Finally,MünsterbergwithgreatplausibilitytriestoexplainthediscrepanciesbetweentheresultsofVierordt,Estel,Mehner,Glass,etc。,asduetothefactthattheydidnotallusethesamemeasure。Somebreathealittlefaster,somealittleslower。Somebreaktheirinspirationsintotwoparts,somedonot,etc。Thecoincidenceoftheobjectivetimesmeasuredwithdefinitenaturalphasesofbreathingwouldveryeasilygiveperiodicalmaximaoffacilityinmeasuringaccurately。

  [33]\"Anyonewishingyetfurtherexamplesofthismentalsubstitutionwillfindoneonobservinghowhabituallyhethinksofthespacesontheclock-faceinsteadoftheperiodstheystandfor;

  how,ondiscoveringittobehalfanhourlaterthanhesupposed,hedoesnotrepresentthehalfhourinitsduration,butscarcelypassesbeyondthesignofitmarkedbythefinger。\"H。Spencer:Psychology,§

  336。

  [34]TheonlyobjectionstothiswhichIcanthinkofare:1Theaccuracywithwhichsomemenjudgeofthehourofdayornightwithoutlookingattheclock;2thefacultysomehaveofwakingatapreappointedhour;3theaccuracyoftime-perceptionreportedtoexistincertaintrance-subjects。Itmightseemthatinthesepersonssomesortofasub-consciousrecordwaskeptofthelapseoftimeperse。

  Butthiscannotbeadmitteduntilitisprovedthattherearenophysiologicalprocesses,thefeelingofwhosecoursemayserveasasignofhowmuchtimehassped,andsoleadustoinferthehour。Thattherearesuchprocessesitishardlypossibletodoubt。Aningeniousfriendofminewaslongpuzzledtoknowwhyeachdayoftheweekhadsuchacharacteristicphysiognomytohim。ThatofSundaywassoonnoticedtobeduetothecessationofthecity’srumbling,andthesoundofpeople’sfeetshufflingonthesidewalk;ofMonday,tocomefromtheclothesdryingintheyardandcastingawhitereflectionontheceiling;ofTuesday,toacausewhichIforget;

  andIthinkmyfrienddidnotgetbeyondWednesday。Probablyeachhourinthedayhasformostofussomeouterorinnersignassociatedwithitascloselyasthesesignswiththedaysoftheweek。Itmustbeadmitted,afterall,however,thatthegreatimprovementofthetime-perceptionduringsleepandtranceisamysterynotasyetclearedup。AllmylifeIhavebeenstruckbytheaccuracywithwhichIwillwakeatthesameexactminutenightafternightandmorningaftermorning,ifonlythehabitfortuitouslybegins。Theorganicregistrationinmeisindependentofsleep。

  AfterlyinginbedalongtimeawakeIsuddenlyrisewithoutknowingthetime,andfordaysandweekstogetherwilldosoatanidenticalminutebytheclock,asifsomeinwardphysiologicalprocesscausedtheactbypunctuallyrunningdown——Idiotsaresaidsometimestopossessthetime-measuringfacultyinamarkeddegree。Ihaveaninterestingmanuscriptaccountofanidiotgirlwhichsays:\"Shewaspunctualalmosttoaminuteinherdemandforfoodandotherregularattentions。Herdinnerwasgenerallyfurnishedherat12。30P。M。,andatthathourshewouldbegintoscreamifitwerenotforthcoming。IfonFast-dayorThanksgivingitweredelayed,inaccordancewiththeNewEnglandcustom,shescreamedfromherusualdinner-houruntilthefoodwascarriedtoher。Onthenextday,however,sheagainmadeknownherwantspromptlyat12。30。Anyslightattentionshownherononedaywasdemandedonthenextatthecorrespondinghour。Ifanorangeweregivenherat4P。M。onWednesday,atthesamehouronThursdayshemadeknownherexpectation,andifthefruitwerenotgivenhershecontinuedtocallforitatintervalsfortwoorthreehours。AtfouronFridaytheprocesswouldberepeatedbutwouldlastlesslong;andsoonfortwoorthreedays。Ifoneofhersistersvisitedheraccidentallyatacertainhour,thesharppiercingscreamwassuretosummonheratthesamehourthenextday,\"etc。,etc——FortheseobscuremattersconsultC。DuPrel:ThePhilosophyofMysticism,chap。III。§1。

  [35]IdealeFragen1878。p。219Essay,’ZeitundWeile’。

  [36]RevuePhilosophique,vol。III。p。496。

  [37]\"Emptytimeismoststronglyperceivedwhenitcomesasapauseinmusicorinspeech。Supposeapreacherinthepulpit,aprofessorathisdesk,tostickstillinthemidstofhisdiscourse;

  orletacomposerasissometimespurposelydonemakeallhisinstrumentsstopatonce;weawaiteveryinstanttheresumptionoftheperformance,and,inthisawaiting,perceive,morethaninanyotherpossibleway,theemptytime。Tochangetheexample,let,inapieceofpolyphonicmusic——afigure,forinstance,inwhichatangleofmelodiesareunderway——suddenlyasinglevoicebeheard,whichsustainsalongnote,whileallelseishushed……Thisonenotewillappearveryprotracted——

  why?Becauseweexpecttohearaccompanyingitthenotesoftheotherinstruments,buttheyfailtocome。\"Herbart:Psychol。alsW。,§115。——

  ComparealsoMünsterberg,Beiträge,Heft2,p。41。

  [38]Anightofpainwillseemterriblylong;wekeeplookingforwardtoamomentwhichnevercomes——themomentwhenitshallcease。ButtheodiousnessofthisexperienceisnotnamedennuiorLangweile,liketheodiousnessoftimethatseemslongfromitsemptiness。Themorepositiveodiousnessofthepain,rather,iswhattingesourmemoryofthenight。Whatwefeel,asProf。Lazarussaysopcit。

  p。202,isthelongtimeofthesuffering,notthesufferingofthelongtimeperse。

  [39]Onthesevariationsoftime-estimate,cf。Romanes,ConsciousnessofTime。inMind,vol。III。p。297;J。Sully,Illusions,pp。245-261,302-305;W。Wundt,Physiol。Psych。,II。287,288;besidestheessaysquotedfromLazarusandJanet。InGerman,thesuccessorsofHerbarthavetreatedofthissubject:compareVolkmann’sLehrbuchd。Psych。,§89,andforreferencestootherauthorshisnote3tothissection。

  LindnerLbh。d。empir。Psych。,asaparalleleffect,instancesAlexandertheGreat’slifethirty-threeyears,whichseemstousasifitmustbelong,becauseitwassoeventful。SimilarlytheEnglishCommonwealth,etc。

  [40]PhysiolOptik,p。445。

  [41]Succession,timeperse,isnoforce。Ourtalkaboutitsdevouringtooth,etc。,isallelliptical。Itscontentsarewhatdevour。Thelawofinnertiaisincompatiblewithtime’sbeingassumedasanefficientcauseofanything。

  [42]Lehrbuchd。Psych。,§87。ComparealsoH。Lotze,Metaphysik,§154。

  [43]Thecauseoftheperceiving,nottheobjectperceived!

  [44]\"’Nomore’and’notyet’arethepropertime-feelings,andweareawareoftimeinnootherwaythanthroughthesefeelings,\"

  saysVolkmannPsychol。,§87。This,whichisnotstrictlytrueofourfeelingoftimeperse,asanelementarybitofduration,istrueofourfeelingofdateinitsevents。

  [45]Weconstructthemilesjustasweconstructtheyears。Travellinginthecarsmakesasuccessionofdifferentfieldsofviewpassbeforeoureyes。Whenthosethathavepassedfrompresentsightreviveinmemory,theymaintaintheirmutualorderbecausetheircontentsoverlap。Wethinkthemashavingbeenbeforeorbehindeachother;and,fromthemultitudeoftheviewswecanrecallbehindtheonenowpresented,wecomputethetotalspacewehavepassedthrough。

  Itisoftensaidthattheperceptionoftimedevelopslaterthanthatofspace,becausechildrenhavesovagueanideaofalldatesbeforeyesterdayandafterto-morrow。Butnovaguerthantheyhaveofextensionsthatexceedasgreatlytheirunitofspace-intuition。RecentlyIheardmychildoffourtellavisitorthathehadbeen’asmuchasoneweek’inthecountry。

  Ashehadbeentherethreemonths,thevisitorexpressedsurprise;whereuponthechildcorrectedhimselfbysayinghehadbeenthere’twelveyears。’

  ButthechildmadeexactlythesamekindofmistakewhenheaskedifBostonwasnotonehundredmilesfromCambridge,thedistancebeingthreemiles。

  [46]Mostoftheseexplanationssimplygivethesignswhich,adheringtoimpressions,leadustodatethemwithinaduration,or,inotherwords,toassigntothemtheirorder。Whyitshouldbeatime-order,however,isnotexplained。Herbart’swould-beexplanationisasimpledescriptionoftime-perception。Hesaysitcomeswhen,withthelastmemberofaseriespresenttoourconsciousness,wealsothinkofthefirst;andthenthewholeseriesrevivesinourthoughtatonce,butwithstrengthdiminishinginthebackwarddirectionPsychol。alsWiss。,§115;Lehrb。

  zurPsychol。,§§171,172,175。SimilarlyDrobisch,whoaddsthattheseriesmustappearasonealreadyelapseddurchlaufene,awordwhichshowsevenmoreclearlythequestion-beggingnatureofthissortofaccountEmpirischePsychol。,§59。Th。Waitzisguiltyofsimilarquestion-beggingwhenheexplainsourtime-consciousnesstobeengenderedbyasetofunsuccessfulattemptstomakeourperceptsagreewithourexpectationsLehrb。d。Psychol。,§52。Volkmann’smythologicalaccountofpastrepresentationsstrivingtodrivepresentonesoutoftheseatofconsciousness,beingdrivenbackbythem,etc。,suffersfromthesamefallacyPsychol。,§87。Butallsuchaccountsagreeinimplyingonefact——viz。,thatthebrain-processesofvariouseventsmustbeactivesimultaneously,andinvaryingstrength,foratime-perceptiontobepossible。Laterauthorshavemadethisideamoreprecise。Thus,Lipps:

  \"Sensationsarise,occupyconsciousness,fadeintoimages,andvanish。

  Accordingastwoofthem,aandb,gothroughthisprocesssimultaneously,orasoneprecedesorfollowstheother,thephasesoftheirfadingwillagreeordiffer;andthedifferencewillbeproportionaltothetime-differencebetweentheirseveralmomentsofbeginning。Thustherearedifferencesofqualityintheimages,whichthemindmaytranslateintocorrespondingdifferencesoftheirtemporalorder。

  Thereisnootherpossiblemiddletermbetweentheobjectivetime-relationsandthoseinthemindthanthesedifferencesofphase。\"GrundtatsachendesSeelenlebens,p。588。Lippsaccordinglycallsthem’temporalsigns,’

  andhastensexplicitlytoaddthatthesoul’stranslationoftheirorderofstrengthintoatime-orderisentirelyinexplicablep。591。M。Guyau’saccountRevuePhilosophique,XIX。353hardlydiffersfromthatofhispredecessors,exceptinpicturesquenessofstyle。Everychangeleavesaseriesoftrainéeslumineusesinthemindlikethepassageofshootingstars。Eachimageisinamorefadingphase,accordingasitsoriginalwasmoreremote。Thisgroupofimagesgivesduration,themeretime-form,the’bed’oftime。Thedistinctionofpast,present,andfuturewithinthebedcomesfromouractivenature。ThefutureaswithWaitz

  iswhatIwant,buthavenotyetgot,andmustwaitfor。Allthisisdoubtlesstrue,butisnoexplanation。

  Mr。Wardgives,inhisEncyclopædiaBritannicaarticlePsychology。

  p。65,col。1,astillmorerefinedattempttospecifythe’temporalsign。’

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