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ELIMINATIVE ABDUCTION EXAMPLES FROM MEDICINE ForthcominginStudiesinHistoryandPhilosophyofScience AlexanderBird Abstract PeterLiptonarguesthatinferencetothebestexplanation(IBE)involvesthese- lectionofahypothesisonthebasisofitsloveliness.Iarguethatinoptimalcases ofIBEwemaybeabletoeliminateallbutoneofthehypotheses.Insuchcases wehaveaformofeliminativeinductiontakesplace,whichIcall‘Holmesianin- ference’. IarguethatLipton’sexampleinwhichIgnazSemmelweisidentified a cause of puerperal fever better illustrates Holmesian inference than Lipto- nianIBE.IconsiderindetailtheconditionsunderwhichHolmesianinference ispossibleandconcludebyconsideringtheepistemologicalrelationsbetween HolmesianinferenceandLiptonianIBE. keywords inferencetothebestexplanation,PeterLipton,abduction;Holme- sianinference;eliminativeinduction. 1 Introduction Many,probablymost,scientificrealistsbelievethatinferencetothebestexplana- tion(IBE),broadlyconstrued,isattheheartofscience. Thereisaplethoraoftech- niques,methods,rulesofthumb,heuristicsandsoforththatareusedtogenerate scientificknowledgeandwhichdonotfittheIBEmould.Nonetheless,manyofour mostinterestingtheoreticaldiscoverieshavebeenmadewiththeapplicationofIBE, includingourdiscoveriesconcerningunobservableentitiesandprocesses. Inthelightofthis,itisanextraordinaryachievementthatPeterLiptonhasgiven ustheauthoritativeaccountofwhatIBEisandhowitcontributestotheorychoice and confirmation. Given the capacity of philosophers for disagreement and for generating theories, one might have thought that Lipton might have had a num- berofrivalsconcerningthisabsolutelycrucialtopic. Butthatjustdoesnotseem tobethecase. Lipton’sInferencetotheBestExplanationseemstrulytobeaKuh- nian paradigm in the philosophy of science. For those working on inference to thebestexplanation,itisthetextthatsetsouragenda,thatlaysouttheproblems wemustcontendwith,andwhich,inmanydimensions,isanexemplarofhowwe shouldcarryoutourwork. InthispaperIpursuesomenormal(philosophyof)sci- enceintheLiptoniantradition.Whilenotseekinganyrevolutionarychangetothat paradigm,IdowanttosuggestthatthereisanimportantrespectinwhichLipton’s pictureofIBEneedssupplementing. 1 IwillstartbyoutliningLipton’sconceptionofIBE.I’llthenmentionananomaly thatarisesinhisdiscussionofhiscentralillustrativecase,thatofIgnazSemmelweis andpuerperalfever.Outliningtherelevantfeaturesofthatcase,andofanothercase, thediscoveryofthecauseofAIDS,willgiveanindicationofwhythatanomalyarises, andwhatsupplementtoLiptonianIBEistherebyrequired.Thatsupplementstates thatinsomecasesofIBEourevidencepermitsustoselectjustonepotentialex- planationastheexplanation,becauseitistheonlypotentialexplanationconsistent withtheevidence.ThisIcallHolmesianInference. 2 Inferencetothebestexplanation Inferencetothebestexplanationisaboutchoosingamongexplanations.Itisamat- terofchoosingamongpotentialexplanationsofsomephenomenontheonethatis thebestbycertaincriteria. Ifthereisasuitablebestexplanation,IBEsaysthatwe mayinferthatitistheactualexplanation. Ifsomehypothesisprovidestheactual explanationofaphenomenon,thenthathypothesisistrue. Howdowechooseamongpotentialexplanations? AccordingtoLipton,IBEisa two-stageprocess,wherebothstagesarefiltersofpotentialexplanations(?:56–64): Stage 1: The first stage filters out the implausible explanations. The imaginative capacity of scientists generates all the plausible potential explanationsandjustleavestheremainderunconsidered. Stage2: Atthesecondstage,scientistsinvestigatethelivepotentialex- planationsthathavepassedthroughthefirstfilter,andultimatelyrank themaccordingtotheirexplanatorygoodness,inordertoselectthetop rankingexplanationastheexplanation. Liptonexplainsthatexplanatorygoodness, whathecalls‘loveliness’mustbedis- tinguished from likeliness, since the aim of IBE is to guide our estimates of like- nessonthebasisofloveliness. InLipton’sviewlovelinessisamatterofpotential understanding—alovelyexplanationisonethatwouldgiveusahighdegreeofun- derstandingoftherelevantphenomenawereittobetrue(and,Iwouldadd,known tobetrue). Twoqualificationsneedtobemadeconcerningthesecondstage: (Q1)Forthebestexplanationtobeinferreditmustbesignificantlybet- terthanitsnearestrival. Iftwocompetingexplanationsarebothgood enough,andoneisslightlybetterthantheother,ourfaithinthatslightly betteronemustbeslim.WhileLiptondoesnotmentionthis,itisaclear corollaryofhisaccount. (Q2)Forthebestexplanationtobeinferreditshouldnormally,consid- eredonitsown,beasufficientlygoodexplanationofenoughevidence. If our best explanation is a weak explanation even of a large quantity ofdata(?:63,154),orexplainsonlyalimitedamountofevidencewell, thenthatissomereasontodoubtthatitisthetheactualexplanation. (LaterIshallconsideramendmentstobothqualifications.) BothstagesinIBEraiseimportantphilosophicalquestions. Acrucialquestion concernsthefirststage. Sinceitfiltersoutsomanylogicallypossibleexplanations, whatconfidencecanwehavethattheactualexplanationisallowedthrough? Why 2 shouldtheimaginationofscientistshavethecapacitytopickonthetrueexplana- tionamongthoseitcreates? TheproblemhereisonethatLipton(?:152)calls‘Un- derconsideration’. The stage 2 ranking is no good at all if the actual explanation hasn’tmadeitthroughstage1onaccountofthescientists’failuretothinkofit. Assumingthattheactualexplanationisamongthoseinvestigatedatstage2,two problemsimmediatelyraisetheirheads,whichLiptoncalls‘Hungerford’sobjection’ and‘Voltaire’sobjection’. TheformerborrowsMargaretHungerford’slineinMolly Bawn,thatbeautyisintheeyeofthebeholder,toraisetheworrythattheloveliness ofexplanationsmaybetoosubjectivetohaveanyrelationshiptothetruth.Voltaire’s objectionsuggeststhattheIBEenthusiasthasanunjustifiedPanglossianfaiththat theactualworldistheloveliestofallpossibleworlds.Eveniflovelinessisobjective, therewillbemanyworldswhereitdoesnotcorrelatewithtruth. Sowhythinkthat truthandlovelinesscorrelateinours? In passing I shall mention a hypothesis formulated by David ?), that all these problems have a Kuhniananswer. The fundamental idea is thatour standards of goodnessaresetbyKuhnianexemplars. Itissimilarity, intherelevantrespect, to theparadigmsofgoodsciencethatgovernthefieldinquestion,thatmakesforgood- nessofexplanation. ThatanswersHungerford’sproblem. Notethattheexemplars arethemselvesselectedongroundsthatextendbeyondlovelinessalone. Itisem- piricalsuccessinsolvingscientificpuzzleswhereotherparadigmshavefailedthat istheprincipaldriverbehindtheselectionofnewparadigms.Despitetheproblems ofincommensurability,thedevelopmentofscienceisprogressive,itisahistoryof increasingpuzzle-solvingpower.AnanswertoVoltaire’sobjectioncanbuildonthis, albeitinanon-Kuhnianway. Let’ssayforsakeofargumentthatanexemplarhas notonlypuzzle-solvingpowerbutalsoahightruth-content.Thenonemightexpect puzzle-solutionsmodelledonthatexemplartohaveatleastabetterthanrandom chance of latching on to the truth also. The standards of similarity, the qualities thatmakeforexplanatorygoodness,willthenbetruth-tropic,eveniftheyarenot fullygeneralandsempiternal. Suchstandardsmaybelocaltoaparticularfieldat a particular stage in its development, but that does not prevent them from being truth-friendlyintheirlocality.Ofcourse,thisdependsonstartingwithanexemplar withhightruth-content.Butthat’snotaproblemfortworeasons.First,theproblem wastoshowthattruthandgoodnesscouldbecorrelated,notthattheymustbe.This answershowshowtheycanbewithouttheworldbeinginanywayspecial.Voltaire’s problemisthatwesetourstandardsoflovelinessfirst,andthenexpecttheworldto liveuptothem. Thisexamplar-basedresponsesaysthattheworlditselfcanplaya partinsettingtheappropriatestandards.Secondly,thefactthatempiricaldataand oftenthepuzzlesthemselvesaregeneratedbytheworldmeansthataslongasthere isagenuinepuzzle-solvingtraditioninplace,itwillhaveacomponentthatfavours truthoverfalsity;itwouldnotbeasurprisethatwell-establishedpuzzle-solvingtra- ditionshaveexemplarsthathavehightruth-content. Accordingtothisview, explanatorygoodnessresidesinsomethinglikeKuhn’s fivevalues—valueswhoseapplicationisdeterminedbyexemplars.Thisdiffersfrom Lipton’sconceptionoflovelinessaspotentialunderstanding.Idon’tintendtoadju- dicatebetweentheseviewsofexplanatorygoodness,sinceIshallarguethatinsome casesatleastwedonotneedanyexplanatorygoodnessatall. Thatisbecause,in somecases,inferencetothebestexplanationisinferencetotheonlyexplanation— theproblemofUnderconsiderationnotwithstanding. 3 3 TheSemmelweiscase(again) I’llnowmoveontothefirstmedicalcaseIwishtodiscuss,thewell-knownhistory ofIgnazSemmelweisandpuerperalfever. ThiscaseiscentraltoLipton’sdefence ofIBE,havingpreviouslybeendiscussedbyHempelandbyothers. Theheuristic advantageisclear: bycomparingdifferentaccountsofinferenceandconfirmation againstacommoncase,theirrelativemeritscanmoreeasilybejudged. ThereisinLipton’sdiscussionwhatseemstometobeananomaly. Sincethisis hismostdetailedcasestudyofIBE,inwhichvarioushypothesesareconsideredthat mightexplainaphenomenon,fromwhichoneisselectedasbeingtheexplanation, onemightexpectsomediscussionofwhytheselectedexplanationislovelierthan theothers.Weshouldbetoldwhatlovely-makingfeaturesthisexplanationhasthat itsrivalslackorpossessinlesserdegree.ButinfactLiptondoesnotpresentuswith suchadiscussion. AndthissuggeststomethattheapplicationofIBEinthiscase doesnotdependonlovelinessorgoodnessatall. TheSemmelweiscaseiswell-known,andsoIshallnotspendtoomuchtimeon theprincipalfacts. In1844IgnazSemmelweisgraduatedfromtheViennaMedical Schoolanddecidedtostudyobstetrics.Hewasappointedassistanttotheprofessor ofobstetrics,JohannKlein,firstin1846andthenagainin1847. Kleinwasrespon- sibleforoneofthetwolabourwardsattheAllgemeineKrankenhaus,theGeneral HospitalinVienna. Manypoorerwomencametothehospitaltogivebirthandof these women a large proportion, up to one sixth in some years, contracted puer- peral(orchildbed)fever,whichwasalmostalwaysfatal. Itwaswidelyknownthat thedeathrateswereconsiderablyhigherinKlein’sward,DivisionI,thanintheother ward,DivisionII,runbyProfessorFranzXavierBartsch. Semmelweissoughtsome featureofDivisionIthatwouldexplainitshighrateofmortality.Thesearetheprin- cipalhypothesesheconsideredinitially: (S1)OvercrowdinginDivisionI. (S2)Epidemicinfluencesandclimate. (S3)RoughexaminationsbythemedicalstudentsinDivisionI. (S4)Psychologicaleffectofthepriestpassingthroughthewardonhis waytodeliverextremeunctiontodyingwomen. (S5)WomeninDivisionIdeliveredontheirbacks. In assessing these explanations, we must be careful in deciding what the ex- planandumis.Theexplanandumcouldbe,amongothers: (A)TheexistenceofpuerperalfeverinDivisionI(andbyextensionthe existenceofpuerperalfeverelsewhere). (B)ThegreaterprevalenceofpuerperalfeverinDivisionI. Thecharacteroftheinferenceisverydifferentdependingonwhichtheexplanan- dumistakentobe. Inmyviewitisimportanttofocusonexplanandum(B),the differenceinratesofpuerperalfeverandconsequentmortalitybetweenthewards.1 Theexplanandaareconnected:theprincipalexplanationsoftheexistenceofpuer- peralfeveringeneralmightsupplyexplanationsofthedifferencebetweenthetwo wards;andconverselyasuccessfulexplanationofthatdifferencemightwellprovide 1Ourexplanandaconcerntheexistenceandratesofpuerperalfever,butthedataconcernratesof mortalityfrompuerperalfever. Themortalityratesaregoodproxiesforthemorbidityratessincethe diseasewasalmostalwaysfatal. 4 insightintothecauseofpuerperalfeveringeneral.Butthesearefurtherinferences, andfraughtonesatthat,asIshallmention. Inthelightofthisweshouldconsider theexplanations(S1)–(S5)asshorthandforexplanationsoftheform‘Xisthecause ofthepositivedifferencebetweentheratesofDivisionIandDivisionII’,e.g. (S1) shouldbeunderstoodasassertingthatovercrowdinginDivisionIisthecauseofthe greatermortalityrateinDivisionIwhencomparedtoDivisionII. ?:65–7,69)notedthathypotheses(S1)and(S2)refertofeaturesthatwerecom- montobothDivisionIandDivisionII.Indeed,becauseofthedesireofexpectant motherstobeadmittedtoDivisionIIratherthanDivisionI,theformerwaseven morecrowdedthanthelatter.2 Lipton remarks, however, that the similarly between the wards is nonetheless consistentwithoneorotherofthosehypothesesbeingtrue. Sinceno-onethought such factors to be sufficient for puerperal fever, those who maintained such hy- potheseswouldthinkthattheyareonlypart oftheexplanationastowhyanypar- ticularwomancontractedthefever;afullexplanationwouldrefertootherfactorsas well,suchasgeneralstateofhealth. Note,though,thatthispointholdsonlyifthe explanandumis(A)ratherthan(B).Butaswehaveseenandwillcontinuetosee, Semmelweis’sprincipalevidenceconcernsthedifferencesbetweenthetwowards. Since DivisionIIhad puerperal fever, whichcouldalso affectwomengivingbirth athome,Semmelweiswasnotinapositiontodirectlyinferthecauseofpuerperal fevertoutcourt.Naturally,hewasindeedinterestedinthecauseofpuerperalfever, asthetitleofhisbook(?) onthesubjectdemonstrates. But,butasweshallsee,the inferencefromanexplanationof(B)toanexpanationof(A)makesdifficultiesfor Semmelweis. AccordingtoLipton’sviewofcontrastiveexplanation,toexplainthedifference betweenthetwowards, wemustseekafeatureinthehistoryofDivisionIthatis absentfromthehistoryofDivisionII.Buthypotheses(S1)and(S2)donotidentify such a difference (ignoring the lesser degree of crowding in Division I). Therefore theysimplycannotbeexplanationsof(B).Thosehypotheses,construedaspoten- tialexplanationsofthedifferencebetweenthetwowards, aresimplyinconsistent withtheevidence. Thesamegoesforanumberofotherpotentialcausalfactorsin acaseofpuerperalfeverthatarenotmentionedinthelistabove:inadequateventi- lation,excessbloodinthecirculation,stagnantcirculation,disturbancescausedby pregnantuterus, decreaseinweightcausedbyemptyingoftheuterus, protracted labour,woundingoftheinnersurfaceoftheuterusindelivery,imperfectcontrac- tions,faultyinvolutionsoftheuterusduringmaternity,thevolumeofthesecreted milk,anddeathofthefoetus(?:47). Hypotheses(S3)–(S5)domarkadifferencebetweenthewards,atleastatthebe- ginningofSemmelweis’sinvestigations. (S3),though,washardlyadifference. For asSemmelweispointedout,theroughnessofthehandlingbythestudentswasneg- ligiblecomparedtothetraumaofchildbirthitself,andthedifferenceinroughness 2Inwhichcase,onemightask,whywould(S1)evenhavebeenraised? Theprincipalansweristhat whilewomenwereadmittedtothetwowardsonalternatingdaysSundaythroughFriday,fromFridayto Sundayafternoon,womenwereadmittedtoDivisionI.Furthermore,DivisionIIwasinstitutedinorderto relieveovercrowdinginDivisionI.SohistoricallytherehadbeenaproblemofovercrowdinginDivision I,untilthedifferenceinmortalitybecamewidelyknown.Anadditionalreasonisthatovercrowdingwas awidespreadprobleminEuropeanhospitals,withseveralpatientssharingasinglebedbeingacommon occurrence.InVienna,however,onepatientperbedwastherule.Nonetheless,therelationshipbetween overcrowdingandpuerperalfeverwasanaturalonefordoctorstoconsider. 5 betweenthestudentsandmidwiveswouldhavebeenevensmallerincomparison.3 Hencehypothesis(S3)seekstoexplainalargedifferencebetweenthetwodivisions, thefactthatthemortalityrateinDivisionIwasthreetimesthatinDivisionII,byap- pealtowhatisatmostatinymarginaldifference.Certainly,insomeset-ups,incre- mentalchangescanhavesignificanteffects;butnodoctorwouldsupposethistobe suchacase. Inmyviewsuchahypothesisisnotmerelyimplausible—Semmelweis couldruleitoutasinconsistentwithwhatheknewabouthowtraumaaffectsdis- ease.4 Withrespecttohypotheses(S4)and(S5)Semmelweispursuedthepolicyofseek- ingtoeliminatethedifferencesbetweenthewardsreferredtoinagivenhypothesis. Thusthepriestagreedtotakeadifferentroute,avoidingDivisionI;andwomenin thatwarddeliveredontheirsides: againinbothcaseswithoutanydiminutionin death. Semmelweiswasthusabletogenerateevidenceinconsistentwith(S4)and (S5)andtherebyeliminatethemfromhisenquiries. At this point, discussions of the Semmelweis case mention the fact that while onholidayinVeniceinearly1847,Semmelweis’scolleagueJakobKolletschkadied ofawoundincurredduringapost-mortemexamination. InhisillnessKolletschka showedthesamesymptomsandonautopsythesamelesionsasfoundinwomen whosufferedanddiedfrompuerperalfever. ThisledSemmelweistohisfinalhy- pothesis, that the parturient women were being infected with cadaveric matter transmittedbymedicalstudentsfromtheautopsiesthattheyhadbeencarryingout beforehand.IdivideSemmelweis’shypothesisintotwocomponents: (S6a)WomeninDivisionIwereinfectedduringexaminationbymedical students.(S6b)Theinfectiousagentwas‘cadavericmatter’importedby thestudentsaftercarryingoutautopsies. Kolletschka’sdeathisoftenpresentedasakeypieceofevidence,onethat(S6) canexplainwhereastheotherhypothesescannot. Consequently(S6)is,inthisre- spectatleast,abetterexplanationthantheothers. Ibelieve,however,thattheim- portanceofKolletschka’sdeathlieselsewhere. Atthistime,theleadingexplanation offeredofpuerperalfever,alongwithmanyotherdiseases,wasthemiasmatheory, accordingtowhichdiseasesareoftencausedbybadairsthatarethemselveseffects ofgeographyandclimate, andcanbecausedbystagnatingwater, rottingorganic material, overcrowdingandthelike. Thisisthetheorycoveredby(S2). Notefirst thatintermsofbeingabletoexplainotherfacts,supportersofthemiasmatheory of disease would argue that their theory explains a huge amount of data, such as thefactthatsomediseases,suchasmalaria,arecommoninlow-lyingmarshyareas, whydiseasessuchascholeraaremoreprevalentatsea-levelthanataltitude,why manydiseases,suchastyphoidandcholeraaremoreprevalentincrowded,unsan- itarycitiesthanelsewhere,whyimprovementsinsanitationleadtodiminutionin 3Lestoneshouldimaginethatthemidwiveswereparticularlygentle,considerthecommentofSem- melweis’scolleagueJakobKolletschka,“Itisherenouncommonthingformidwives,especiallyinthe commencementoftheirpractice,topullofflegsandarmsofinfants,andeventopullawaytheentire bodyandleavetheheadintheuterus.Suchoccurrencesarenotaltogetheruncommon;theyoftenhap- pen.”(Lancet2(1855):503.Quotedin?:126,fn.5.)Inmitigationofthemidwives,oneshouldnote,as ?)do,thatmanyoftheirpatientswerewomenfromimpoverishedbackgroundswhohadsufferedfrom ricketsaschildren. Ricketscanoftenleadtoamalformedpelvis,resultingindifficultiesinchildbirth whenadult. 4Asitwas,SemmelweissoughttominimizethedifferencebyexcludingforeignstudentsfromDivision I,who,hethought,wouldbetheleastgentleintheirexamining.That,ofcourse,hadnoeffectontherate ofinfectioninthatward. 6 disease. Withrespecttotheevidenceconcerningpuerperalfeverinparticular, at theViennaGeneralHospitalandelsewhere,themiasmatheorywouldexplainwhy puerperalfevercomesinepidemicwavesandvariesseasonally,beingworseinwin- terthaninsummer. Againstthismassofevidence, thefactofKolletschka’sdeath countsforeverylittle.Soifweareconsideringexplanationsof(A),thenKolletschka’s deathcountsforverylittle. Butifweareconsidering(B),Kolletschka’sdeathisev- identiallyotiose. Fortherival(S2),asanexplanationofthedifferencebetweenthe twowards,isalreadyrefutedbytheevidence,aswesawabove. And,moreimpor- tantly,Semmelweisgeneratedthecrucialpieceofevidencewhenheinsistedonthe studentswashingtheirhandsinchlorinatedwaterbeforeexaminingthewomen,the mortalityrateinDivisionIfelltoequallingthatinDivisionII.Theheadlinefigures arethese: thepercentagemortalityratesforthesixyears1841–1846were: Division I—9.92,DivisionII—3.88,andforthetwelveyears1847–1858were:I—3.57,II—3.05 (figuresfrom?:159–81). Thiscrucialfactclinchestheargumentinfavourof(S6a) independentlyoftheevidenceconcerningKolletschka. ThesignificanceofKolletschka’sdeathisthatitdrewSemmelweis’sattentionto adifferencebetweenthemidwivesandthestudentsthatmightotherwisehavegone unnoticed—thefactthattheyattendedautopsiesandcarriedoutdissectionsbefore performingexaminationsinthematernitywards.Whilehecouldnoteliminatethis difference,sincehedidn’tcontrolthestudents’timetable,hecouldisolateitcausally, whichamountstothesamething,byinsistingonhand-washing. The evidence concerning Kolletschka enabled Semmelweis to do something else,toformulateaspecifichypothesisconcerningtheinfection,thatitwasdueto ‘cadavericmatter’beingtransferredfromadissectedbodytotheuterusofanunfor- tunatemotherviathehandsofthestudents.AboveIdivided(S6)intoalessspecific claim(S6a), thatsomekindofinfectionfromthemedicalstudentsisresponsible; andamorespecificclaim,thatcadavericmatterfromautopsiesisresponsible.This distinction is important because only (S6a) is verified by the evidence. Although (S6b)isrenderedplausible,itisfarfromverified(andindeeditisstrictlyfalse). To beprecise,theevidenceverifiestheclaimthattheexplanationof(B)issomeprop- ertyofthehandsofthemedicalstudentsthatisremovedwhentheyarewashed. It stronglysupportstheclaimthatthispropertyisrelatedtoandacausalconsequence ofthepresenceofthestudentsattheautopsies,butwithoutverifyingthisclaim,and itlendssomesupport,butmuchless,totheclaimthatthepropertyinquestionis thepresenceofcadavericmatter.Ishouldmakeclearthatthenotionof‘infection’I amusinghereisaveryweakone,anddoesnotimplyanycommitmenttoamodern germtheory. Ratheritisintendedtocaptureanideathatwouldhavebeenfamiliar toSemmelweis’scontemporaries,thatofcontagion,anideathatgoesbacktoFras- cotorointheseventeenthcentury.Thecoreoftheideaisthatdiseasescanbespread fromindividualtoindividualbytheconveyanceofsomematerialmediumbetween them. Frascotorohypothesizedthemediumtobe‘seminaria’(seeds), buttellsus littleaboutthem,whichiswhyIsaythatthecoreideaisthatthereissomematerial mediumoftransmission.Semmelweis’sinsistenceon‘cadavericmatter’isaspecific versionofthistheory. Imakethesedistinctions, eventhoughSemmelweisdidnot, inordertomake twopoints.First,asIshallgoontoexplain,makingthesedistinctionswillallowme todemonstratemyprincipalthesis,thattheevidencecanleadusnotsimplythethe bestexplanationoftheevidence,butalso,onoccasion,totheonly explanationof theevidence.(S6a)isahypothesisofwhichthistrue,but(S6b)isnot. 7 Secondly,IsuggestthatonereasonwhySemmelweisfailedtogethisviewsac- ceptedisthathedidnotdistinguishbetween(S6a)and(S6b),andarguedstrongly infavourof(S6b)whichwasonlypartlysupportedbytheevidence. Furthermore, Semmelweisdidnotclearlydistinguishbetweenexplananda(A)and(B).Although Semmelweis’s most effective evidence concerned the difference between the two wards, his ultimate aim was to explain the causes of puerperal fever tout court— allthecasesinDivisionI,andinDivisionII,andelsewhere. Thiswasbecausehe insisted on a single cause for all cases. But his evidence did not support such a view. Forexample, itwasunclearhowcadavericmattercouldexplainthedeaths inDivisionIIandelsewhere. Semmelweis’sexplanationwasthatinsuchcasesthe womenwereself-infecting,duetointernallydecayingmatter. Suchanexplanation seemedadhoc.Andwhile?:81)notedthatstreetbirthsshowedalowerrateofmor- talitythanDivisionI,hecouldnotexplainwhyhomebirthsshowedasignificantly lowerrateofmortality(circa0.5%)thanevenDivisionII(over3%)—ifthecadaveric hypothesisimpliedthatthedeathsinDivisionIIwereunavoidableself-infections, then one would expect a comparable rate of self-infection among mothers giving birthathome. Furthermore, thecadaverichypothesiswasnotevennovel. Acommonlyheld alternativetothemiasmatheoryofpuerperalfeverwastheviewthatitiscausedby internalputrescence,therottingofthepatient’sowninternalfleshandorgans. For example,DrJohnClarke(citedin?:43)heldthattightstaysandpetticoatsandthe weightofthebabyintheuterusdetainedfaecesintheintestinecausingputresence. Gettingpeopletobelieveanewtheorymaybedifficultenough,butitisofteneven moredifficulttogetthemtobelieveanoldtheorytheyregardashavingbeenre- futed.Theprincipalpieceofevidenceagainstsuchatheoryisthefactthatpuerperal feverwasanepidemicdiseasewhichcouldafflictapopulationparticularlyseverely foranumberofyears. Additionallyitwasseasonal,withwintersbeingparticularly bad. ?:122)explainedthelatterbyreferencetothegreaterdiligenceofthestudent doctorsinwintermonths,andwhilethatmayhavebeenanexacerbatingfactor,this seasonalvariationwasnotlimitedtoteachinghospitals(whichisanotherreasonto focusonexplanandum(B)ratherthan(A)). Toconclude: ifwe,unlikeSemmelweis,restrictourhypothesisto(S6a)andour explanandumto(B),thenweseethattheevidenceforcesustothatconclusionby eliminatingallpotentialalternatives. Inthiscase,inferencetothebestexplanation revealsanimportantkindoflimitingcase—inferencetotheonlyexplanation. InLipton’smodelofinferencetothebestexplanation,thelovelinessofthehy- pothesesiscentraltotheirepistemicstatus: therankorderoftheirepistemiccred- ibilityshouldfollowtherankorderoftheirexplanatoryloveliness. Buttheepiste- mologyoftheaetiologyofpuerperalfeverisnotlikethis. Semmelweisconsidered sixhypotheses,buthedidnotranktheseaccordingtotheirloveliness.Itwasn’tthat infectionviathedoctors’andstudents’handswasalovelierhypotheticalcauseof thedifferenceinlevelofpuerperalfeverthanthepresenceofadoloroussonofthe church. That evidence didn’t simply show the priest hypothesis to be unlovely, it showedittobeoutrightfalse. Likewiseforalltheotherhypothesesconsideredby Semmelweis, withtheexceptionoftheinfectionhypothesis(S6a). ThusSemmel- weishadnoneedtoconsiderthelovelinessofthesehypotheses,andsoitisnosur- prisethatLiptondoesnotdiscusstheirlovelinesseither. 8 4 HIVandAIDS Ishallnowturntoamorerecentcaseinmedicalhistory,thestoryofthediscovery ofHIVandthecauseofAIDS.Theinitialphaseinvolvedtheidentificationofasyn- dromethatneededexplaining. InJune1981areportwaspublishedconcerningthe appearanceofarareformofpneumonia,Pneumocystiscariniiinfivehomosexual Californianmen. Pneumocystiscariniihadotherwiseonlybeenobservedinindi- vidualswhohadundergonemedicaltherapiesinvolvingimmunosupression. The followingmonthasecondreportappeared,discussingthecasesoftwenty-sixyoung homosexualmenwithKarposi’ssarcoma,anunusualformofskincancer,normally foundonlyinmenintheir70sandthenusuallyonlythoseofMediterraneanori- gin. Moreover,fourofthesehadPneumocystisalso. Shortlythereafterafurtherten casesofPneumocystiswererevealedinCalifornia. AstheCentersforDiseaseCon- trol(CDC)commented,“TheapparentclusteringofbothPneumocystiscariniiand Karposi’ssarcomaamonghomosexualmensuggestsacommonunderlyingfactor” (?:14). Theclusteringofsymptomsinamannerindicativeofacommoncauseisa syndrome,inthiscaseinitiallycalledGRIDS,Gay-RelatedImmuneDeficiencySyn- drome,andthenAIDS,AcquiredImmuneDeficiencySyndrome. Whatexplainstheexistenceofthissyndrome? WhatcausesAIDS?Researchers consideredfourhypothesesasfollows: (A1) Recreational drugs. Initially a contaminated batch of ‘poppers’ (amyl nitrate) was suspected. And then it was considered that exces- siveuseofcertainrecreationaldrugs,evenifnotcontaminated,might depresstheimmunesystem. (A2)Someresearchershypothesizedthattheveryhighincidenceoffa- miliarsexuallytransmitteddiseasesamongcertainsexuallyveryactive menmightoverloadtheimmunesystemandcauseittofail.Thismight alsoexplaintheappearanceofAIDSamongintravenousdruguserswho shareddirtyneedles—therepeatedtaxingoftheimmunesystembyfor- eignmatterandinfectionsoverloadsitandmakesitunabletofightoff opportunisticinfection. (A3) Bacterial infection—infection by a bacterium, probably hitherto unknown. (A4)Viralinfection—infectionbyavirus,probablyhithertounknown. Tothesewemayadd: (A0)Thereisnocommoncause—theclusteringisentirelyaccidental. (A0)isthenullhypothesis.Abductiveinferenceassumesthatthereissomething inneedofexplanation. Ifthereisnothingtoexplainnothingcountsasthebestex- planationofit.Individualeventsorfactstypicallydoneedexplanation.Ifsomeone falls ill with red pustules over arms, chest, and legs, that needs explanation. As I shalldiscusslater,thatmaynotbetrueforallindividualevents,andcertainlynot for population level events. For what might appear to be a population level phe- nomenonofinterestmayafterallbenothingofthesort—justachancecoincidence. WhydidIgetsixsixesinarow? Imighthavebeenusingaloadeddie. Butperhaps Iwasjustlucky,whichistosay,thereisnoexplanation.Likewisetheco-occurrence ofcertainsymptomsinasmallnumberofpeoplemightbeacoincidence. Thefact thattheCDCsaidthattheclusteringsuggested acommonunderlyingfactorindi- cates that for them the null hypothesis had not been ruled out. But as numbers 9 rise, the chances of a coincidence recede rapidly. In Semmelweis’s case, the null hypothesisisthattherewasnomedicaldifferencebetweenthewards. Bychance thewomenassignedtoDivisionIwereindividuallymoresusceptibletopuerperal feverthanthoseassignedtoDivisionII.However,Semmelweis’sstatisticscoveredso manywomenandsuchacontinuedanddramaticdifferencebetweenthetwowards thatthechanceofthatdifferencebeingmerechancewasabsolutelytiny. Semmel- weis’sintuitionisconfirmednotonlybycommonsense, admittedlyunreliableas concernsmattersofstatisticsandprobability,butalsobymodernstatisticians(cf. ?). Likewisethenumberofcasesofraresymptoms,oftenoverlapping,allrelatedto animpoverishedimmunesystem,andinmanycasesfoundamongsthomosexual men,meansthatonecanconcludeintheAIDScasethatthenullhypothesisisfalse. Thereisindeedagenuinesyndromeneedingexplanation. The key piece of evidence which refuted the lifetstyle-related hypotheses (A1) and (A2) was the discovery of AIDS among haemophiliacs. In 1982 several haemophiliacswerefoundtobesufferingfromthesyndrome,aswereanumberof people,bothmenandalsowomen,whohadreceivedbloodtransfusions,including atwentymontholdbaby. Amongthedonorsofthebloodreceivedbythebabywas onemanwhodevelopedAIDSlessthanayearafterdonating. Whilesuchevidence pointstoablood-borneinfection,italsoservestoexcludethehypotheses(A1)and (A2), sincenownumerousindividualswerebeginningtobediagnosedwithAIDS whosimplydidnotparticipateindrug-takingorveryactivesex. Indeed, thisev- idenceservestorefuteprettywellanylifestyle-relatedhypothesis, sincethereare nohabitssharedbythehaemophiliacs,thegaymen,andthetransfusionrecipients, thatarenotsharedalsobyprettywelleveryoneelse. To my mind, it is difficult to think of any hypothesis compatible with the evi- denceofthehaemophiliacsandtransfusionrecipientsthatdoesnottakethecause ofAIDStobeaninfectiousagent.Ifinsteadofdistincthypotheses(A3)and(A4)we hadamoregeneralhypothesis,thatAIDSiscausedbyaninfectiousagent,thenthat hypothesisisconfirmed,byrefutingthenullhypothesisandallotherhypothesesin- consistentwiththisone. HavingestablishedthatAIDSisaninfectiousdisease,the nexttaskistoidentifythekindofinfection. Thetwoobviouscandidatesarebac- terialandviral. Theevidencealreadyobtainedrulesoutbacterialinfection. Thisis becausethebloodproductusedbyhaemophiliacs,theclottingagentfactorVIII,is obtainedfromdonatedbloodbyaprocessthatinvolves,amongotherthings,filtra- tion.Filtrationremovesbacteria,andsothebacterialhypothesiscanbeexcluded. Withthebacterialhypothesisrefuted,itisnaturaltoturntotheviralhypothesis. However,onemightwonderwhethersomeotherinfectiousagentcouldberespon- sible: noteveryinfectionisbacterialorviral; theotherpossibilitiesincludefungi, protozoa,andmulticellularparasites. Infactfiltrationremovesalloftheseagents also. Arguablyitisconceivablethatsomehithertoundiscoveredkindoffilterable agentcouldberesponsible.Wenowknowthattherearesuchagents,althoughmost are virus-like, such as satellite viruses and viroids, and typically these require the presenceofatruevirus,ahelpervirus,toreplicate. However,thefirstresearchinto prionswasbeingcarriedoutataboutthesametimeasthecauseofAIDSwasbeing investigated,andsosuchapossiblecausewouldnothavebeenconsidered. Likea virus,aprion,beingsimplyaprotein,isfilterable.Itremainscontentious,however, thatprion-relateddiseaseiscausedbyaprotein-onlyagentratherthanbyprotein- plus-virusorsomeothermechanism. Indeed,oneofthecontroversialfeaturesof theprionhypothesis,isthatitappearstobeinconsistentwiththecentraldogmaof molecularbiology.Thelattersaysthatinformationcanbepassedonlyfromnucleic 10

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ELIMINATIVE ABDUCTION EXAMPLES FROM MEDICINE Forthcoming in Studies in History and Philosophy of Science Alexander Bird Abstract Peter Lipton argues that inference to
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