Chains of Being: Infinite Regress, Circularity, and Metaphysical Explanation PDF
Preview Chains of Being: Infinite Regress, Circularity, and Metaphysical Explanation
OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi Chains of Being OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi Chains of Being fi In nite Regress, Circularity, and Metaphysical Explanation ROSS P. CAMERON 1 OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi 3 GreatClarendonStreet,Oxford,OX26DP, UnitedKingdom OxfordUniversityPressisadepartmentoftheUniversityofOxford. ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship, andeducationbypublishingworldwide.Oxfordisaregisteredtrademarkof OxfordUniversityPressintheUKandincertainothercountries ©RossP.Cameron2022 Themoralrightsoftheauthorhavebeenasserted FirstEditionpublishedin2022 Impression:1 Allrightsreserved.Nopartofthispublicationmaybereproduced,storedin aretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthe priorpermissioninwritingofOxfordUniversityPress,orasexpresslypermitted bylaw,bylicenceorundertermsagreedwiththeappropriatereprographics rightsorganization.Enquiriesconcerningreproductionoutsidethescopeofthe aboveshouldbesenttotheRightsDepartment,OxfordUniversityPress,atthe addressabove Youmustnotcirculatethisworkinanyotherform andyoumustimposethissameconditiononanyacquirer PublishedintheUnitedStatesofAmericabyOxfordUniversityPress 198MadisonAvenue,NewYork,NY10016,UnitedStatesofAmerica BritishLibraryCataloguinginPublicationData Dataavailable LibraryofCongressControlNumber:2021946684 ISBN 978–0–19–885427–2 DOI:10.1093/oso/9780198854272.001.0001 PrintedandboundintheUKby TJBooksLimited LinkstothirdpartywebsitesareprovidedbyOxfordingoodfaithand forinformationonly.Oxforddisclaimsanyresponsibilityforthematerials containedinanythirdpartywebsitereferencedinthiswork. OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi ForElizabeth,BreccanandRowan, andinmemoryofWillowandKenna OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi Contents Acknowledgments ix Introduction 1 1. InfiniteRegress 11 1.1 InfiniteRegresses:ViciousandBenign 11 1.2 PluralismaboutViciousness 13 1.2.1 RegressandContradiction 14 1.2.2 RegressandFailureofAnalysis 16 1.2.3 ContingentlyViciousRegresses 21 1.3 RelativismaboutViciousness 26 1.4 OntologicalDependenceandRegress 38 1.4.1 DependenceRegressesandMetaphysicalFoundationalism 38 1.4.2 InfinitelyManyFiniteChainsversusInfinitelyMany InfiniteChains 43 2. SetTheory,InfiniteRegress,andCircularity 50 2.1 Parts,Sets,andOntologicalDependence 50 2.2 Non-Well-FoundedSetTheories 57 2.3 InPraiseofBoffaSetTheory 69 2.4 BoffaSetTheoryandOntologicalDependence 82 3. RegressandExplanation 88 3.1 DependenceRegressesandExplanation 88 3.2 MetaphysicalDeterminationandMetaphysicalExplanation 109 3.2.1 OntologicalDependenceandGroundingwithoutExplanation 110 3.2.2 GroundingintheImageofMultiple-ConclusionLogic 119 3.3 MetaphysicalExplanation 128 3.3.1 DependenceRegresseswithoutExplanation 128 3.3.2 “WhatItIs”ClaimsandMetaphysicalExplanation 134 3.3.3 ResistingtheCollapsetoFoundationalism 144 4. CirclesofDependence 157 4.1 TheThreatofCircularity 157 4.2 EpistemicandMetaphysicalHolism 160 4.2.1 EpistemicHolism 160 4.2.2 MetaphysicalHolism 163 4.3 HolisticMetaphysics 168 4.3.1 TheInterdependenceofSexualityandGender 169 4.3.2 MathematicalStructuralismandComplexNumbers 176 4.3.3 TheInterdependenceofPersons 184 4.4 DeepversusShallowMetaphysicalHolism 191 OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi viii 5. Grounding,Circularity,andRegress 201 5.1 Grounding 201 5.2 TheTruth-TellerandtheNo-NoParadox 205 5.3 Truth,Non-ClassicalLogic,andLöb’sTheorem 209 5.4 Grounding,Circles,Regress,andExplanation 219 5.5 MetaphysicalHolism,Dialetheism,andSocialConstruction 227 Conclusion 236 References 237 Index 249 OUPCORRECTEDPROOF–FINAL,27/1/2022,SPi Acknowledgments Thanks to: Matthew Andler, David Baker, Jc Beall, Karen Bennett, Ricki Bliss, DavidChalmers,SarahColquhoun,RoyCook,AaronCotnoir,ShamikDasgupta, GabrielDay,DanielDeasy,LouisdeRosset,JohnDivers,TomDonaldson,Kenny Easwaran,MaeganFairchild,BrandenFitelson,DanielGreco,SukainaHirji,Hud Hudson,ZacharyIrving,StephanKraemer,KrisMcDaniel,KerryMcKenzie,Ned Markosian,ChrisMenzel,TrentonMerricks,DanielNolan,JoshParsons,Laurie Paul, Graham Priest, Agustin Rayo, Adam Rieger, Jonathan Schaffer, Amy Seymour, Ted Sider, Jason Turner, Christina Van Dyke, Pekka Väyrynen, Lori Watson, Robbie Williams, Al Wilson, Jessica Wilson, Daniel Wodak, and two readersforOxfordUniversityPressforveryvaluablecommentsanddiscussion. Mostofall,thankstoElizabethBarnes:thefirstpersonIbounceanideaoff,my finalproof-reader,andmyconstantsourceofsupport. Almost all of the material in this book is previously unpublished, but there is someoverlapbetweenchapter1andmyentryonInfiniteRegressArgumentsin the Stanford Encyclopedia of Philosophy. I am grateful to the editors of the StanfordEncyclopediaforpermissiontore-usesomeofthatmaterialhere.
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