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TheGreatestPossibleBeing

TheGreatest PossibleBeing

JeffSpeaks

GreatClarendonStreet,Oxford,OX26DP, UnitedKingdom

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

©JeffSpeaks2018

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PublishedintheUnitedStatesofAmericabyOxfordUniversityPress 198MadisonAvenue,NewYork,NY10016,UnitedStatesofAmerica

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ThisbookisdedicatedtoElyse,Amelia,andViolet, whomakeeverydaywonderful.

6.3Theperfectbeingdefense:adiagnosis

7.PerfectBeingSemantics

7.1Thestandardpictureofnames

7.2Threegradesofperfectbeingsemantics

7.3Whatisspecialabout‘God’?

7.3.1Theargumentfromtheabsenceofdubbings

7.3.2Theargumentfromrequirementsonreference

7.3.3Theargumentfrominformativeidentities

7.4Themodalconceptionandsemanticequivalence

7.4.1Theologicallyunsophisticatedsubjects

7.4.2Heterodoxsubjects

7.4.3Impoverishedmodalspace

7.4.4‘Thegreatestactualbeing’

7.5Themodalconceptionanddescriptiveassociation

7.6Themodalconceptionanddescriptiveintroduction

8.BeyondPerfectBeingTheology

8.1Derivingtheattributes

8.2Dispensablevs.mandatoryattributes

8.3Themeaningof‘God’

8.3.1‘God’asanordinaryname

8.3.2Therealproblemwith‘God’asanordinaryname

Introduction

Inthespringof2013,ItaughtalargelectureclassatNotreDame onthetopicof‘PhilosophicalTheology.’Theorganizingideaforthe classwastoworkthroughtheNiceneCreed,consideringaswewent thebestargumentsfortheincoherenceofthecentraldoctrinesof Christianitylaidoutinthatdocument.

Manyofthetoughestquestionsthatquicklyarise—aboutevil, aboutthedoctrineoforiginalsin,aboutjudgementandtheafterlife— arebestpressedagainstthebackgroundassumptionsthatGodis omnipotent,omniscient,andperfectlymorallygood.SoIwanted somewaytogetthestudentstoseewhyclaimsofthissortabout Godwereplausible(whetherornotthestudentsthemselvesbelieved inGod).

MyideawastofollowwhatIthoughtofasatraditionallineof thought:Iwouldbeginbyintroducingthemtotheideaofagreatest possiblebeing,andthenexplainwhy,ifGodexists,itisplausiblethat Godisthegreatestpossiblebeing.Iwouldthenexplainwhy,ifthere wereagreatestpossiblebeing,itwouldbeomnipotent,omniscient, andperfectlymorallygood.

ButthatlectureturnedouttobehardertowritethanIthought. DespitewhatIthoughtwasaconsensusthattherewasasimple argumentfromtheclaimthatGodisthegreatestpossiblebeingtothe traditionalattributes,Icouldnotfigureouthowthederivationwas supposedtowork.

Fouryearslater,Istillcan’t.Thefirstfivechaptersofthisbook explainwhy.Onceonetriestomaketheargumentsuitablyprecise,

Iargue,thereisjustnowaytoderiveinterestingclaimsaboutGod fromtheprinciplethatGodisthegreatestpossiblebeing.

This(still)seemstometobeverysurprising.Theformofargument onefindsinAnselmandinmuchrecentworkinthephilosophyof religion—thatthegreatestpossiblebeingmusthaveeveryproperty whichitisbettertohavethanlack,andknowledge,power,andgoodnessareallbettertohavethanlack,andsomustallbeattributesof God—isintuitivelyextremelycompelling.IstillhavetheuneasyfeelingthatImustbemissingsomewaytomakethisintuitiveargument work.ButI’venowbeentryinglongenoughtomakeitworkthatit seemsworthwhiletopublishthecaseagainstit.

EveniftheprinciplethatGodisthegreatestpossiblebeingcannot beusedtoderivethedivineattributes,itmightstillhaveimportant theoreticalrolestoplay.Recentworkinthephilosophyofreligionhas suggestedtwo.Thefirstistheroleofsettingtheboundariesofthecore ofourconceptofGod—astellinguswhatpropertiesofGodare,so tospeak,non-negotiablewhentheorizingaboutthedivineattributes. Thesecond,relatedroleistheroleofgivingthemeaning,andfixing thereference,ofthename‘God.’InChapters6and7,Iarguethatthe claimthatGodisthegreatestpossiblebeingissimilarlyunsuitedto playthesetheoreticalroles.

Aftersevenchaptersofnegativity,inChapter8Imakesomepositive suggestionsabouthowtoanswerthequestionswhichtheclaimthat Godisthegreatestpossiblebeinghasbeenused,unsuccessfully,to answer.

ThankstotheJohnTempletonFoundation,whichfundedtheyear ofleavefromteachingduringwhichmostofthisbookwaswritten. ThanksalsotogroupsattheCenterforthePhilosophyofReligion atNotreDameandtheCenterforthePhilosophyofReligionat Rutgers,whereIpresentedearlierversionsofthismaterial.Thegroup atNotreDameevenhadtosufferthroughittwotimes.Thisbook hasbenefitedfromquestionsandcommentsfrommanypeople,but amongthosewhodeservespecialmentionareBrianCutter,Cameron DomenicoKirk-Giannini,SamNewlands,MikeRea,BlakeRoeber, andMeghanSullivan.

1 TheIdeaofaGreatest PossibleBeing

OtherthanthequestionofwhetherGodexists,noquestioninthe philosophyofreligionandphilosophicaltheologyismorefundamentalthanthequestionofthedivineattributes:thequestion,toputitin ordinarylanguage,ofwhatGodislike.

Howshouldwegoaboutansweringthisquestion?Onetraditional view,whichhasreceivedasignificantrevivaloverthelasthalf-century, beginswiththeclaimthatGodisthegreatestpossiblebeing.This claimismostoftenassociatedwiththenameofSt.Anselm,whoin thesecondchapterofthe Proslogion describesGodas‘abeingthan whichnothinggreatercanbeconceived.’Butthiswas,asothershave noted,notanentirelynovelclaim.

IntheChristiantradition,Anselmwasnotablyprecededby Boethius,whoasked

ForsincenothingcanbeimaginedbetterthanGod,howcanwedoubtHim tobegoodthanwhomthereisnothingbetter?1

whichapparentlypresupposesthatGodissomethingthanwhichno greatercanbeimagined.AndAugustinewrotethefollowingabout ourconceptofGod:

ForwhentheonesupremeGodofgodsisthoughtof,evenbythosewho believethatthereareothergods,andwhocallthembythatname,and worshipthemasgods,theirthoughttakestheformofanendeavortoreach

1 Boethius, ConsolationofPhilosophy,X.

theconceptionofanature,thanwhichnothingmoreexcellentormore exaltedexists.2

Augustine’sclaimhereisnotquiteasstrongastheclaimwefind, implicitlyinBoethiusandexplicitlyinAnselm.WhereasAnselm claims

Godisthegreatestconceivablebeing.

Augustineclaimsonlythat3

Godisthegreatestbeing.

Thereislogicalspacetobelievethesecondofthesebutnotthefirst— thoughthisspaceofcoursevanishesifonebelieves,asAnselmdid, thatthegreatestconceivablebeingactuallyexists.

Bothoftheseclaimscanbedistinguishedfromaclaimwhichone principallyfindslaterinthetraditionthanAnselm,namely

Godisthegreatestpossiblebeing.

Whilefromourvantagepointitisnaturaltosharplydistinguishthis modalclaimfromthecorrespondingclaimaboutconceivability,it wouldatleastarguablybeamistaketoreadthisdistinctionintothe workofearlierthinkers.Tomyknowledge,nooneuntilthemodern periodexplicitlydistinguishesbetweentheclaimthatGodisthe greatestconceivableandthegreatestpossiblebeing;theclaimis invariablystatedinbroadlypsychologicalterms,astheclaimthatGod isthegreatestthinkable,orimaginable,orconceivablebeing.Butthat hardlyimpliesapreferenceforthepsychologicalformulationoverthe modalone,giventhatitisalsoquiteraretofindanyexplicitdistinction betweentheconceivableandthepossiblebeforeDescartes.4

2 OnChristianDoctrine,I.7.

3 ThoughotherpassagesinAugustinesuggestthestrongerclaim,e.g.‘Forno souleverhasbeen,oreverwillbe,abletoconceiveofanythingbetterthanyou ... ’ (Confessions VII.4).

4 TheearliestsuchdiscussionIknowofrelatestoDescartes’claimin Meditation VIthat‘ifIhaveavividandclearthoughtofsomething,Godcouldhavecreatedit inawaythatexactlycorrespondstomythought.’Criticismofthisclaim,especially

Evenifweshouldnotreadapreferenceforpsychologicalover modalformulationsintopastthinkers,wenowclearlydohave theresourcestodistinguishtheclaimsthatGodisthegreatest possibleandthegreatestconceivablebeing,andinwhatfollows itwillbeimportanttokeepthemseparate.Ifpossibilityimplies conceivabilitybutnotthereverse,andtheactualityimpliespossibility butnotthereverse,thesethreethesescanbeorderedfromlogically strongesttoweakestasfollows:Godisthegreatestconceivablebeing, Godisthegreatestpossiblebeing,andGodisthegreatestbeing.5

1.1Fromgreatnesstothedivineattributes

Almostasoldasourtrioofclaimsistheattempttoderivefromthese claimsmorespecificclaimsabouttheattributesofGod.Anselm,asis wellknown,usedtheclaimthatGodisthegreatestconceivablebeing to,viatheontologicalargument,derivetheconclusionthatGodhas thepropertyofexistence.Buthealsousedittoshow,amongother things,thatGodis‘just,truthful,blessed,andwhateveritisbetterto bethannottobe.’6

JustastheideaofGodasthegreatestconceivable(orpossibleor actual)beingpre-datesAnselm,sodoestheideaofusingthisconceptionofGodtoderivemorespecificclaimsaboutGod.7 Platohas

fromArnauld,canatleastbereadascenteringonthelinkbetweenconceivability—the vividandclearthought—andpossibility.Seehis‘FourthObjections,’inCottingham etal.(1988),volII,140.BythetimewegettoHume,thedistinctionisquiteexplicit— evenifHumethinksthat‘whateverthemindclearlyconceives,includestheideaof possibleexistence,orinotherwords,thatnothingweimagineisabsolutelyimpossible’ (Treatise,I.II.ii),andhencethattheconceivableandthepossiblearecoextensive.See, forinterestingdiscussion,Yablo(1993).

5 Ofcourse,thereare,notoriously,manydifferentsensesof‘conceivable,’andfor manyoftheseitwouldbeincorrecttosaythatpossibilityentailsconceivability.There are,forexample,presumablymanypossiblescenarioswhichlimitedcreatureslikeus cannotimagine.Forothersensesof‘conceivable,’theentailmentwillplausiblyhold. Thekeypointfornowissimplythattherearegoodsensesof‘conceivable’onwhich someclaimsareconceivablebutnotpossible,andthisfactisonewhichtheproponent ofthethesisthatGodisthegreatestconceivablebeingmightexploit.

6 Proslogion §V. 7 Forusefuldiscussion,seeLeftow(2011).

Socratesreasonfromtheclaimthatthegodsarethegreatestpossible beingstotheclaimthattheyareimmutable:

ThenitisimpossiblethatGodshouldeverbewillingtochange;being, asissupposed,thefairestandbestthatisconceivable,everygodremains absolutelyandforeverinhisownform.8

AndCicero,followingZeno,reasonsfromtheclaimthattheuniverse isthegreatestactualbeingtotheclaimthattheuniversepossesses everypropertywhichitisbettertohavethanlack:

Thesearguments,forinstance,whichareexpandedbymodernStoics,usedto becompressedbyZenoasfollows:‘Thatwhichexercisesreasonismoreexcellentthanthatwhichdoesnotexercisereason;thereisnothingmoreexcellent thantheuniverse,thereforetheuniverseexercisesreason.’Inthesamewayit maybeprovedthattheuniverseiswise,blessed,andeternal,forallobjects thatpossessthesequalitiesaremoreexcellentthanthosewhichdonotpossess them,andthereisnothingofgreaterexcellencethantheuniverse.Bythis meansitwillbeprovedthattheuniverseisdivine.9

Theformofargumentisasimplebutpowerfulone:Godisthegreatest being;itisbettertobe F thannot-F ;so,Godmustbe F

Themainstreamofcontemporaryphilosophyofreligionissquarely withinthisvenerabletradition.Philosophyjournalsforthelasthalf centuryhaveseenmanyattemptstosettleuponalistofthedivine attributes,andtogivemorespecificaccountsofthetraditionalcandidates:omnipotence,omniscience,goodness,eternity,andsoon.Itis unsurprising,giventhenatureofphilosophy,thatthisdiscussionhas notyieldedmuchconsensus.Itis,however,quitesurprisingthatsuch ageneralconsensushasemergedthatthewayofansweringquestions abouttheattributesexemplifiedbythepassagesjustlistedisbasically correct.

Here,topickjustoneamongmanypossibleexamplesfromthis literature,isThomasMorris:

fromgreatnesstothedivineattributes

[W]ecanrepresentschematicallythedevelopmentofaconceptionofa perfectbeing Inascendingorderofgreatnessinmetaphysicalstature,God isconceivedofas:

(1)conscious(amindedbeingcapableofthoughtandawareness)

(2)aconsciousagent(capableoffreeaction)

(3)athoroughlybenevolentconsciousagent

(4)athoroughlybenevolentconsciousagentwithsignificantknowledge

(5)athoroughlybenevolentconsciousagentwithsignificantknowledge andpower

(6)athoroughlybenevolentconsciousagentwithunlimitedknowledge andpowerwhoisthecreativesourceofallelse

(7)athoroughlybenevolent,necessarilyexistentconsciousagentwith unlimitedknowledgeandpowerwhoistheontologicallyindependent creativesourceofallelse.

Andherewehavearrivedatwhat,withitsentailments,isthehighest conceptionofall,theconceptionofagreatestpossibleormaximallyperfect being.10

Themethodondisplayhere—ofderivingclaimsaboutGodfrom theclaimthatGodisthegreatest,orgreatestpossible,orgreatest conceivable,being—isoftencalled‘perfectbeingtheology.’Theidea isnicelysummedupbyMurrayandRea,whosaythattheprinciple thatGodisthegreatestpossiblebeing‘provide[s]uswitharuleor recipefordevelopingamorespecificconceptionofGod.’11

Tome,derivationsoftheattributesliketheonejustquotedhave alwaysseemedtohaveaslightlymagicalfeel—asthoughatheological rabbitisbeingpulledoutofamodalhat.Ifperfectbeingtheologyisa recipe,andperfectbeingtheologiansthechefs,then,likemanygreat chefs,itseemstomethatperfectbeingtheologianshaveoccasionally beenlessforthcomingabouttheingredients,andexactlyhowtheyare supposedtogotogether,thantheycouldhavebeen.Oneofthemain

10 Morris(1987),26.

11 MurrayandRea(2008),8.Morris(1991)usesthesameculinarymetaphor,saying that[GPB]is‘likethemainelementinarecipeforcookingupourideaofGodin detail’(35).

thingsthatIwanttodointhechaptersthatfollowistotrytolayout themethodofperfectbeingtheology—or,rather,arangeofchoices forhowtothinkaboutthatmethod—inmoredetailthanhasbeen donethusfar.

1.2ThemodalconceptionofGod

Eveniftherearesomeunansweredquestionsabouthowexactlyto understandthemethodofperfectbeingtheology,thereisnomystery aboutwhythatmethodhasseemedtobesoattractivetosomany philosophersandtheologians.Onecrucialquestionis—takingfor grantedthatGodexists—howmuchwecanknowaboutGodbythe useofreasonalone,withoutrelianceonrevelationortheassumptions ofindividualreligioustraditions.Anditmightwellseemthatthe methodofperfectbeingtheologypromisesanoptimisticresponseto thisquestion.

Inordertogetstartedontheprojectofderivingbyreasonalone theattributesofGod,weneedastartingpoint—someassumption aboutGodwhich,independentlyofrevelationandtradition,wecan seetobetrue.AndtheclaimsthatGodisthegreatestactual,orgreatestpossible,orgreatestconceivable,beingmightseemtoprovide justthewantedstartingpoint.Let’scallthisthe modal conceptionof God—theconceptionofGodasthebestthinginsomespaceofworlds (whichmightincludejusttheactualworld,justthepossibleworlds, oralsoconceivablebutperhapsimpossibleworlds).

ThemodalconceptionofGodisanattractiveoneforrational theologybecauseitcombinestwofeatureswhicharebothdifficultto combineandessentialtotheprojectofrationaltheology.Thefirstfeatureisakindof neutrality.TheclaimthatGodisthegreatestpossible beingdoesnotinitselfsayanythingveryspecificaboutGod—and thisfactispartofwhatmakesitanattractivestartingpoint.Itdoes notinitselfsaythatGodispowerful,orloving,orimmutable—and henceisaclaimwhichmight,inprinciple,beendorsedbysomeone whetherornottheyfindthoseclaimsaboutGodinitiallyplausible.

ItisnothardtoimaginepeoplewithradicallydifferentviewsofGod findingcommongroundintheclaimthatGodisthegreatestpossible being.

Indeed,onmanyviewssomethingstrongercanbesaid.Thisis becausemanytake‘God’tobeakindofdescriptivename:aname whichiseithersynonymouswithadefinitedescription,orincorporatessignificantdescriptiveelements.Andanumberoftheoristshave thoughtthattherelevantdescriptionissomethinglike‘thegreatest possiblebeing.’12 Ifaviewlikethiswerecorrect,thenthemodal conceptionofGodsimplygivesthecontentof‘God.’Thiswouldmake theclaimthatGodisthegreatestpossiblebeingnotjustplausible,but literallyanalytic,sincethenitwouldbepossibletotransformitintoa logicaltruthjustbysubstitutingsynonymsforsynonyms.13

Thesecondfeatureisakindof productivity.Despiteitsneutrality, perfectbeingtheologians,followingAnselmandothers,thinkthat theformulathatGodisthegreatestpossiblebeingcanbeshown toentailvariousmorespecificclaimsaboutGod.Andthisis,aswe haveseen,aquiteplausibleclaim.Itcertainlyseemsasthoughwecan seethatsomepropertiesarebettertohavethanlack,anditcertainly seemsasthoughthesewouldhavetobepropertiesofthegreatest possiblebeing.Anditisdifficult,Ithink,tocomeupwithanother startingpointfortheologicalspeculationwhichwouldbettercombine neutralityandproductivity.

Itis,however,important,todistinguishfromtheoutsetthemodal conceptionofGodfrommoresubstantiveconceptionsofGodwith whichitcanbeconflated.Consider,forexample,Leibniz’sconception ofGodasthe ensperfectissimum,whereaperfectionis‘everysimple qualitythatispositiveandabsolute,orthatexpresseswithoutany

12 Idiscussthissortofviewof‘God’atlengthinChapter7.

13 HereIignoreforsimplicitythefactthatsentencesratherthanpropositionsare theprimarybearerofanalyticity,andthatthebestcandidateforananalytictruthinthe vicinitywouldreallybetheconditional‘IfGodexists,thenGodisthegreatestpossible being.’I’llreturntotheseissueswhenweturntothesemanticsof‘God,’inChapter7.

theideaofagreatestpossiblebeing limitswhateveritexpresses.’14 TheviewofGodashavingallperfections,inthissense,isnotthemodalconceptionofGod.Ifonestarts withtheviewthatGodhasallperfections,then,tofigureoutwhich arethedivineattributes,onehastofigureoutwhicharethepositive simplequalities.TheprinciplethatGodisthegreatestpossible(or conceivable)beinghasnoobviousroletoplayinthisinquiry.

Ofcourse,onemighttrytoderivetheclaimthatGodhasall perfectionsfromtheclaimthatGodisthegreatestpossiblebeing; onemighttrytoderive,thatis,Leibniz’sviewthatGodisthe ens perfectissimum fromthemodalconceptionofGod.Thatwouldbeto goinforakindofperfectbeingtheology.But,whilehisnameisoften associatedwiththethesisthatGodisthegreatestpossiblebeing,that strategywasclearlynotLeibniz’s.Ifitwere,hewouldnothavebeen soconcernedtoargueforthethesisthatitispossiblethatthesubject ofallperfectionsexist.Ifwederivedourlistofperfectionsfromthe conceptofagreatestpossiblebeing,thenthecompossibilityofthe perfectionswouldbetrivial.

Thisisnot,ofcourse,todenythatLeibnizendorsedthethesisthat Godisthegreatestpossiblebeing.Nodoubthedid.Butonecan endorsethisthesiswithoutgivingittheroleinthedeterminationof thedivineattributeswhichitplaysinperfectbeingtheology.

1.3Twostepstoaperfectbeingtheology

HowdowemovefromthemodalconceptionofGodtoaviewofthe divineattributes?

Perfectbeingtheologyisaprocedurewhichaimstogiveusa principledwayofmakingprogressonthequestionofwhetheragiven property F is,orisnot,amongthedivineattributes.Henceitmustgive ussomewayofcompletingthebiconditional

F isadivineattributeiff ...

14 Leibniz(1969),167,citedinAdams(1994),142.

inawaywhichissuchthatinstancesoftheright-handsideofthe biconditionalareeasiertoevaluatethaninstancesoftheright-hand sideoftheuncontroversialbutunhelpful

F isadivineattributeiff F isapropertyofGod.

Itisnothardtogetsomehandleonhowthisshouldwork.Afirststep istopickasastartingpointoneofourthreeprinciplesaboutGod:

Godisthegreatestactualbeing.

Godisthegreatestpossiblebeing.

Godisthegreatestconceivablebeing.

Let’scallthisfirstchoicepointthechoiceofa modalprinciple. Thesethreemodalprincipleswilltriviallyentail,respectively,

F isadivineattributeiff F isapropertyofthegreatestactualbeing.

F isadivineattributeiff F isapropertyofthegreatestpossiblebeing.

F isadivineattributeiff F isapropertyofthegreatestconceivable being.

Ourquestionaboutthemethodofperfectbeingtheologythusreducestothequestion:howdowetellwhethersomethingisaproperty ofthegreatestactual,possible,orconceivablebeing?

Theanswertothisquestionis,Ithink,fairlystraightforward.What theperfectbeingtheologianneedsisaconditiononpropertieswhich issuchthataproperty’ssatisfyingthatcondition,togetherwiththe relevantmodalprinciple,entailsthatGodhasthatproperty.This conditionwillmakeprecisethethoughtthatthepropertyisonewhich itisbettertohavethanlack.Let’scallaconditionofthissorta greatness condition.

Apureversionofperfectbeingtheologywillconsistofoneofthe abovemodalprinciples,togetherwithagreatnesscondition.Though theterminologyisnovel,thebasicideahereseemstofitwellwiththe waythatthemethodofperfectbeingtheologyisoftencharacterized byitsproponents.Theideaisthatwebeginwithaclaimaboutthe greatnessofGod,pointoutthatacertainpropertyis(inasensetobe madeprecise)bettertohavethanlack,andconcludethatGodhasthat property.

Itshouldbeuncontroversial,Ithink,thatourgreatnesscondition mustsatisfythefollowingtwodesiderata:

[Entailment]:itshouldfollowfromthefactthataproperty F satisfiesthecondition,plustherelevantmodal principle,that F isapropertyofGod.

[Informativeness]:itshouldbepossible(withoutrelianceonprior substantiveclaimsaboutGod)toseethatsome interestingcandidatestobedivineattributes satisfythecondition.

Ifagreatnessconditiondidnotsatisfy[Entailment],itwouldnot bedoingthejobforwhichitwasintroduced,sincethenthefact thatapropertysatisfiedtheconditionwouldnottellusanything aboutthedivineattributes.Ifagreatnessconditiondidnotsatisfy [Informativeness],itwouldneverdeliveraninterestingresult,and henceagainwouldnottellusanythingofinterestaboutthedivine attributes.(Obviously,satisfactionofthisseconddesideratumwillbe amatterofdegree.)

Itisfairlyobviousthatone’schoiceofagreatnessconditionwill dependonone’schoiceofamodalprinciple,since,forexample,the factthatapropertymeetssomeconditionmightentailthatitwould beapropertyofthegreatestactualbeing,butnotthatitwouldbea propertyofthegreatestpossiblebeing.

Ifwethinkofaparticularinstanceofperfectbeingtheologyasconsistingofamodalprincipleandagreatnesscondition,then,twoways inwhichthatinstancecanfailarebyitsgreatnessconditionfailingto meet[Entailment]or[Informativeness].Butthereisofcourseanother wayinwhichitcanfail:itsmodalprinciplecanbefalse.Onewayto showthatamodalprincipleisfalseistoprovideagreatnesscondition whichmeetsboth[Entailment]and[Informativeness],butisalso satisfiedbypropertieswhicharenotplausiblecandidatestobeamong thedivineattributes.Aswe’llseebelow,ourmodalprinciplesarenot asbeyondchallengeastheyaresometimestakentobe.

Insettingthingsupinthisway,it’simportantnottosaddlethe perfectbeingtheologianwithacommitmentsheneednottakeon.

Advocatesofperfectbeingtheologytypicallydonotthinkthatthey haveinhand,asMorrisputsit,a‘fullymechanicalprocedure’15 forderivingthedivineattributes—aprocedurewhich,withoutany furtherphilosophicalassumptions,willprovideustheanswerwe want.Thisdoesnotmeanthatthereissomethingwrongwithaskingforapreciseformulationofthemethod.Butitdoesmeanthat weshouldnotdemandthatourgreatnessconditionbesuchthat weshouldexpecttobeabletodeterminewhatfallsunderitwithout employingnon-trivialphilosophicalassumptionsabouttherelative greatnessofvariousactualandpossiblebeings,aswellasassumptions aboutwhatisandisnotpossible.Ofcourse,ifthoseassumptions aretriviallyequivalenttotheclaimsaboutGodtobearguedfor— which,aswewillsee,issometimesthecase—thiswillbegenuinely problematic.

1.4Modalprinciples

Inwhatfollowsitwillbeimportanttobeclearaboutexactlywhen aproperty’ssatisfyingagreatnesscondition,togetherwithamodal principle,entailssomethingaboutGod.Soitwillbeusefultointroducesomenotationsothattherelevantclaimscanbestatedasclearly aspossible.

Togiveusasenseofhowtherelevantclaimsshouldlook,there’sno betterplacetostartthan§Vofthe Proslogion: Whatareyou,then,LordGod,thanwhomnothinggreatercanbeconceived? Butwhatareyou,exceptthatwhich,asthehighestofallbeings,aloneexists throughitself,andcreatesallotherthingsfromnothing?For,whateverisnot thisislessthanathingwhichcanbeconceivedof. ... Whatgood,therefore, doesthesupremeGoodlack,throughwhicheverygoodis?Therefore,you arejust,truthful,blessed,andwhateveritisbettertobethannottobe.Forit isbettertobejustthannotjust;bettertobeblessedthannotblessed.

Anselm’slineofthoughtbringsouttwoimportantpoints.Thefirstis thatwhenAnselmandotherstalkaboutpropertieswhichitisbetter 15 Morris(1991),41.

theideaofagreatestpossiblebeing

tohavethantolack,what‘betterthan’expressesisinthefirstinstance arelationbetweenindividualsratherthanbetweenproperties.When wesaythatitisbettertohavethanlack F ,whatwearesayingisthatthe thingswhichare F are(ingeneral,orallthingsbeingequal)betterthan thethingsthatarenot-F .Itisnottheabstractobject,thepropertyof justice,whichispraiseworthy;itistheindividualswhichpossessthis property.(ThisispresumablywhyAnselmsays‘itisbetter tobe just thannotjust.’)InwhatfollowsIwilluse‘>’toexpressthisrelationof beinggreaterthanbetweenindividuals.

ThesecondpointisrequiredbythefactthatAnselmrelies,not justontheclaimthatGodisthegreatestbeing,butalsoonthe claimthatGodisthegreatestconceivablebeing.Andwhenweask whichindividualsaregreaterthanwhichotherindividuals,wewill sometimeswishtocomparethegreatnessofanactualindividual withthegreatnesswhichsomeindividualcouldhavehad,orcanbe imaginedtohave,butdoesnotactuallypossess.

Iwillfollowcontemporaryorthodoxyinusingtheapparatusof possibleworldstorepresentclaimsofthissort.So,forexample,the claimthatsomeonecouldhavebeengreaterthantheyactuallyarewill berepresentedastheclaimthatthereissomepossibleworldinwhich thatindividualisgreaterthanthatindividualisintheactualworld. WhileIwillasmuchaspossibleremainneutralonmetaphysical questionsaboutthenatureofpossibleworlds,oneusefulwayto thinkofpossibleworldsisascertainsortsofpropertieswhichthe universecouldhave,butdoesnot,instantiate.Onthisconstrual,the ideathattherearepossibleworlds—propertiesthattheuniversecould havehad,butdoesn’t—isjustaspecialcaseofthefactthatthereare propertieswhichthingscouldhavehad,butinfactlack.

Sowhenwearestatingclaimsabouttherelativegreatnessofcertain individuals,itisbesttothinkoftheseascomparingtherelative greatnessofcertainindividual/worldpairs.InwhatfollowsIwilluse xw tomean x inworld w

Asisstandard,Iwilluse‘α ’torepresenttheactualworld.So xα willmean x intheactualworld and xw > yw∗

expressesthetransworldcomparativeclaimthat x is,in w,greaterthan y isin w∗ . 16

Theseworld-indicatingsubscriptsarerequiredtomakesenseof reasoningfromtheclaimthatGodisthegreatestpossible,aswellas thegreatestactual,being.Butanadditionalcomplicationisrequired tomarkthedistinctionbetweentheclaimthatGodisthegreatest possibleandthegreatestconceivablebeing.

Aswe’llseeinChapter3,therearemanydifferentsensesinwhich abeingmightbesaidtobeconceivable.But,asafirstpass,wecansay thatabeingisconceivableiffitisconceivable,orimaginable,thatthat beingexists,andthataclaimisconceivableifitcanbeconceived,or imagined,tobetrue.Justastheapparatusofpossibleworldsisuseful tomodelclaimsaboutthegreatnessofbeingswhichcouldhavebut donotexist,sowecanintroduceconceivableworldstomodelclaims aboutthegreatnessofbeingswhichcanbeimaginedtoexist,butin factdonot.Justaspossibleworldsmaybethoughtofasproperties whichtheuniversecouldhavehadbutlacks,conceivableworldsmay bethoughtofaspropertieswhichtheuniversecouldbeimaginedto have,butinfactlacks.

Itisnowwidelyheldthatsomeclaimsareconceivable—canbe,in somesense,imaginedorconceivedtobetrue—butarenotgenuinely possible.Ifthisiscorrect,thentherearesomeconceivableworlds

16 HereandinwhatfollowsIwillwriteasthough > isastricttotalorderon actualandpossiblethings.Thatisnotamandatoryassumptionfortheperfectbeing theologian;shecouldholdthatsomethingsareincommensurable.Isetthispossibility asideforsimplicity;nothingintheargumentstofollowhangsonit.

theideaofagreatestpossiblebeing

whicharenotpossibleworlds.Iwillbeassumingthatthisiscorrect. Thepointofthisassumptionatthisstageistogivetheperfectbeing theologianmaximumflexibility.Forifthepossibleworldsjustarethe conceivableworlds,thentheclaimsthatGodisthegreatestpossible beingandthatGodisthegreatestconceivablebeingareequivalent. Atthisstagewewanttoleaveopenthepossibilitythatthedistinction betweenpossibilityandconceivabilitymightdosomegenuinework inhelpingustoderivethepropertiesofGod.Muchaswerepresented possibleworldswith‘w’subscripts,wecanrepresentconceivable worldswith‘c’subscripts.

Thisgivesustheresourcestoformulateourthreemodalprinciples, perspicuouslyifanachronistically,as

[Gα B][∀x: x = God](Godα > xα )

[GPB][∀x: x = God] ∀w ∈ W (Godα > xw )

[GCB][∀x: x = God] ∀c ∈ C (Godα > xc )

where W isthesetofallpossibleworldsand C isthesetofall conceivableworlds.Eachprincipleentailstheclaimsaboveit,given thatallpossibleworldsareconceivable—andhencethat W ⊆ C—and thattheactualworldispossible—andhencethat α ∈ W . 17

Itisworthnotingthateachofthesemodalprinciplesimmediately impliesthatGodexists,sinceeachattributesarelationalproperty toGod.Thismakestheseformulationshighlyunsuitableforsome usestowhichtheclaimthatGodisthegreatest(actual,possible,or conceivable)beingissometimesput.Animportantexampleisthecase ofdebatesbetweentheistsandatheistsabouttheexistenceofGod, inwhichtheprinciplethatGodisthegreatestpossiblebeingmight functionasakindofregulativeprinciple,onewhichisusedtodefine thetypeofbeingwhoseexistenceisindispute.18 Inthesecontexts,the

17 Inwhatfollows,I’lloftensimplifytheformalnotationbyomittingthequantificationoverworlds—unboundsubscriptsshouldalwaysbeunderstoodasboundby universalquantifierswithwidescope.HereandinwhatfollowsIsetasideanyscruples aboutpossibilistquantification,andsimplyhelpmyselftoit.Whilethisissomething towhichonemightreasonablyobjectinothercontexts,hereitisagifttotheperfect beingtheologian.Iftherelevantclaimscannotbereformulatedwithoutlossinamore ontologicallyconservativeway,thenthiswouldbeafurtherproblemfortheproject.

18 Foranextendeduseofthisstrategy,seevanInwagen(2006).

claimthatGodisthegreatestpossiblebeingisbetterformulatedasa biconditionalthanaspredicatingsomethingofGod.I’llreturntothis topicinChapter6below.Butasinthenextfewchaptersourfocus willbeontheattempttoderivethepropertiesofGod,whiletaking theexistenceofGodforgranted,itwillbesimplertostickwiththe formulationsabove.

Iwill,forobviousreasons,callperfectbeingtheologiesbasedon [Gα B]or[GPB] alethic perfectbeingtheologies,andthosebased on[GCB] epistemic perfectbeingtheologies.

1.5Greatnessconditions

Thisnotationalsogivesustheresourcestoformulategreatnessconditions.Greatnessconditionsareconditionswhichpropertiescan satisfyornot,anditissimplesttoformulatethemasschematawhich involveasinglepredicateletter.Consider,forexample,thecondition apropertysatisfiesiff,necessarily,everythingwhichhastheproperty isgreaterthaneverythingwhichlacksit.Thatcanbeexpressedusing theschema:

∀x∀y ((Fxw & ¬Fyw∗ ) → xw > yw∗ )

Apropertymeetsthisconditionjustincasereplacing‘F ’witha predicateexpressingthatpropertyresultsinatrueformula.

Beforegoinganyfurther,it’sworthconsideringanimportantobjectiontothewaythatIhavesetthingsup.Advocatesofdivinesimplicity maybeinclinedtoobjecttothewaythatIsuggestformulating greatnessconditions,onthegroundsthattalkofthepropertiesofGod issomehowmisconceived—howeverweunderstanddivineattribute talk,accordingtothissortofview,itshouldn’tbeunderstoodin anywaymetaphysicallyseriousenoughtoentailGod’smetaphysical complexity.19

Thisworryisfairenough.Butitseemstomethatitisbasically orthogonaltothesortofprojectunderdiscussion.Forevenadvocates

19 ThankstoMikeReaforpointingthisout.

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