For,inrespecttothelatterbranchofthesupposition,itshouldbeconsideredthatthemosttriflingvariationinthefactsofthetwocasesmightgiverisetothemostimportantmiscalculations,bydivertingthoroughlythetwocoursesofevents;verymuchas,inarithmetic,anerrorwhich,initsownindividuality,maybeinappreciable,produces,atlength,bydintofmultiplicationatallpointsoftheprocess,aresultenormouslyatvariancewithtruth。
And,inregardtotheformerbranch,wemustnotfailtoholdinviewthattheveryCalculusofProbabilitiestowhichIhavereferred,forbidsallideaoftheextensionoftheparallel:-forbidsitwithapositivenessstronganddecidedjustinproportionasthisparallelhasalreadybeenlong-drawnandexact。Thisisoneofthoseanomalouspropositionswhich,seeminglyappealingtothoughtaltogetherapartfromthemathematical,isyetonewhichonlythemathematiciancanfullyentertain。Nothing,forexample,ismoredifficultthantoconvincethemerelygeneralreaderthatthefactofsixeshavingbeenthrowntwiceinsuccessionbyaplayeratdice,issufficientcauseforbettingthelargestoddsthatsixeswillnotbethrowninthethirdattempt。Asuggestiontothiseffectisusuallyrejectedbytheintellectatonce。Itdoesnotappearthatthetwothrowswhichhavebeencompleted,andwhichlienowabsolutelyinthePast,canhaveinfluenceuponthethrowwhichexistsonlyintheFuture。Thechanceforthrowingsixesseemstobepreciselyasitwasatanyordinarytime-thatistosay,subjectonlytotheinfluenceofthevariousotherthrowswhichmaybemadebythedice。Andthisisareflectionwhichappearssoexceedinglyobviousthatattemptstocontrovertitarereceivedmorefrequentlywithaderisivesmilethanwithanythinglikerespectfulattention。Theerrorhereinvolved-agrosserrorredolentofmischief-Icannotpretendtoexposewithinthelimitsassignedmeatpresent;andwiththephilosophicalitneedsnoexposure。ItmaybesufficientheretosaythatitformsoneofaninfiniteseriesofmistakeswhichariseinthepathorReasonthroughherpropensityforseekingtruthindetail。
{*1}Upontheoriginalpublicationof“MarieRoget。”thefoot-notesnowappendedwereconsideredunnecessary;butthelapseofseveralyearssincethetragedyuponwhichthetaleisbased,rendersitexpedienttogivethem,andalsotosayafewwordsinexplanationofthegeneraldesign。Ayounggirl,MaryCeciliaRogers,wasmurderedinthevicinityofNewYork;and,althoughherdeathoccasionedanintenseandlong-enduringexcitement,themysteryattendingithadremainedunsolvedattheperiodwhenthepresentpaperwaswrittenandpublishedNovember,1842。Herein,underpretenceofrelatingthefateofaParisiangrisette,theauthorhasfollowedinminutedetail,theessential,whilemerelyparallelingtheinessentialfactsoftherealmurderofMaryRogers。Thusallargumentfoundeduponthefictionisapplicabletothetruth:andtheinvestigationofthetruthwastheobject。The“MysteryofMarieRoget“wascomposedatadistancefromthesceneoftheatrocity,andwithnoothermeansofinvestigationthanthenewspapersafforded。Thusmuchescapedthewriterofwhichhecouldhaveavailedhimselfhadhebeenuponthespot,andvisitedthelocalities。Itmaynotbeimpropertorecord,nevertheless,thattheconfessionsoftwopersons,oneofthemtheMadameDelucofthenarrativemade,atdifferentperiods,longsubsequenttothepublication,confirmed,infull,notonlythegeneralconclusion,butabsolutelyallthechiefhypotheticaldetailsbywhichthatconclusionwasattained。
TheNewYork“Mercury。”
TheNewYork“BrotherJonathan。”editedbyH。HastingsWeld,Esq。