MORAL AGGREGATION MORAL AGGREGATION Iwao Hirose 3 3 OxfordUniversityPressisadepartmentoftheUniversityofOxford. ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship, andeducationbypublishingworldwide. Oxford NewYork Auckland CapeTown DaresSalaam HongKong Karachi KualaLumpur Madrid Melbourne MexicoCity Nairobi NewDelhi Shanghai Taipei Toronto Withofficesin Argentina Austria Brazil Chile CzechRepublic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore SouthKorea Switzerland Thailand Turkey Ukraine Vietnam OxfordisaregisteredtrademarkofOxfordUniversityPress intheUKandcertainothercountries. PublishedintheUnitedStatesofAmericaby OxfordUniversityPress 198MadisonAvenue,NewYork,NY10016 ©OxfordUniversityPress2015 Allrightsreserved.Nopartofthispublicationmaybereproduced, storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans, withoutthepriorpermissioninwritingofOxfordUniversityPress, orasexpresslypermittedbylaw,bylicense,orundertermsagreedwiththe appropriatereproductionrightsorganization.Inquiriesconcerningreproduction outsidethescopeoftheaboveshouldbesenttotheRightsDepartment, OxfordUniversityPress,attheaddressabove. Youmustnotcirculatethisworkinanyotherform andyoumustimposethissameconditiononanyacquirer. Cataloging-in-PublicationdataisonfilewiththeLibraryofCongress 9780199933686 1 3 5 7 9 8 6 4 2 PrintedintheUnitedStatesofAmerica onacid-freepaper InmemoryofHajimeHirose(1930–1995) CONTENTS Acknowledgments xi PART ONE A THEORY OF AGGREGATION 1.WhyAggregation? 3 1.1.AggregationinEthics 3 1.2.ExampleI:QALYAggregation 8 1.3.ExampleII:Taurek’sRescueCase 11 1.4.TheStructureofThisBook 14 2.TheStructureofAggregation 19 2.1.AggregationDefined 19 2.2.WhatIsAggregativeandWhatIsNot? 25 2.3.TheStructureofInterpersonalAggregation 31 2.3.1.InterpersonalComparability 32 2.3.2.Impartiality 36 VII CONTENTS 2.3.3.Pareto 38 2.3.4.Continuity 39 3.FormalandSubstantiveAggregation 42 3.1.CounterexampletoInterpersonal Aggregation:TheWorldCupCase 42 3.2.HiddenAssumptions 46 3.3.SubstantiveandFormalAggregation 51 3.4.FormalAggregationinPerspective 59 4.AggregationandtheSeparatenessofPersons 64 4.1.TheSeparatenessofPersons:Rawls’s StrictAccount 64 4.2.TheWiderAccount 67 4.3.DefusingtheWiderAccount 73 4.4.The Separateness Objection andContractarianism 78 4.5.Scanlon’sContractualism 84 5.Intra-PersonalAggregation 89 5.1.WhoSupportsIntra-PersonalAggregation? 89 5.2.TheStructureofIntra-PersonalAggregation 92 5.3.TheObjectiontoIntra-PersonalContinuity 96 5.4.TheObjectiontoTemporalSymmetry 98 PART TWO THE NUMBER PROBLEM 6.Taurek’sArgumentfortheCoin-Toss 109 6.1.TaurekandtheRescueCase 109 VIII CONTENTS 6.2.Taurek(1):ThePermissibilityClaim 112 6.3.Taurek(2):TheNo-WorseClaim 115 6.4.Taurek(3):TheEqualRespectClaim 119 6.5.TwoRemarksonTaurek’sArgument 122 6.6.CriticsofAggregation(1):Nozick 125 6.7.CriticsofAggregation(2):Rawls 128 6.8.CriticsofAggregation(3):Nagel 131 6.9.ThreeSolutionsandManyIntuitions 135 7.FourResponses 140 7.1.HowtoDealwithTaurek’sClaim? 140 7.2.KavkaonTaurek 142 7.3.TheKamm–ScanlonArgument 147 7.4.Kamm’sArgumentforBestOutcomes 161 7.5.Schelling’sProbabilisticArgument 168 8.IrrelevantUtilitiesandFormalAggregation 177 8.1.ThePrincipleofIrrelevantUtilities 177 8.2.TheObjectiontothePrincipleof IrrelevantUtilities 184 8.3.TakingUnfairnessSeriously 188 8.4.TheLarge-ScaleRescueCaseRevisited 197 8.5.TheForceofAggregation 200 9.WeightedLotteries 203 9.1.TheThirdProposal:WeightedLotteries 203 9.2.TheAppealofWeightedLotteries 205 9.3.The Procedure of Proportional Chances:TwoCriticisms 210 IX