Accuracy and the laws of credence

251 Pages·2016·2.123 MB·English

by  Pettigrew, Richard

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Accuracy and the Laws of Credence
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Accuracy and the
Laws of Credence
Richard Pettigrew
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Contents
Acknowledgements xi
Introduction 
PartI. TheaccuracyargumentforProbabilism
. FromNoDroptoProbabilism 
. Formulatingthedominanceprinciple 
. FromDominancetoUndominatedDominance 
. FromUndominatedDominancetoImmodestDominance 
. FromImmodestDominancetoDeontologicalImmodestDominance 
. Measuringaccuracy:existingaccounts 
. Joyceonconvexity 
. LeitgebandPettigrewonagreementandepistemicdilemmas 
. Joyceoncoherentadmissibility 
. Measuringaccuracy:anewaccount 
. Additivedivergences 
. Continuityandtheabsenceofjumps 
. Calibrationandaccuracy 
. Symmetry 
. TheBronfmanobjection 
. Epistemicism 
. Supervaluationism 
. Subjectivism 
. Howson’srobustnessobjection 
. TheaccuracyargumentforProbabilism 
AppendixI:Themathematicalresults 
I.A Characterizingtheprobabilisticcredencefunctions 
I.B Characterizinglegitimateinaccuracymeasures(withoutSymmetry) 
I.C Characterizinglegitimateinaccuracymeasures(withSymmetry) 
I.D TwotheoremsconcerningadditiveBregmandivergences 
PartII. Chance-credenceprinciples
. ThePrincipalPrinciple 
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viii contents
. Vindicationandchance 
. ObjectionstoUr-ChanceInitialVindication 
. IntroducingtheTemporalPrincipalPrinciple 
. Beyondtheinitialcredencefunction 
. AnobjectiontoCurrentChanceEvidentialVindication 
.. Reductionistaccountsofchance 
.. Non-reductionistaccountsofchance 
. Dominanceandchance 
. Adaptingtheargument 
. Thecircularityobjection 
. Self-underminingchances 
. Self-underminingchancefunctions 
. Anaccuracy-basedargumentforIsmael’sGeneralRecipe 
. Anaccuracy-basedargumentfortheNewPrinciple 
AppendixII:Asummaryofchance-credenceprinciples 
AppendixIII:Themathematicalresults 
III.A ProofofTheoremIII.A. 
III.B ProofofTheorem.. 
III.C ProofofTheorem.. 
III.D ProofofTheorem.. 
PartIII. ThePrincipleofIndifference
. MaximinandthePrincipleofIndifference 
. TheArgumentfromEvidentialSupport 
. TheArgumentfromMinimalInformation 
. TheArgumentfromAccuracy 
. Generalizingtheargument 
. Epistemicriskaversion 
. Languagedependence 
. Hurwicz,regret,andC-maximin 
. TheHurwiczcriterion 
. Riskingregret 
. Riskandchances 
AppendixIV:Themathematicalresults 
IV.A ProofofTheorem.. 
IV.A. ProofofTheorem..(I) 
IV.A. ProofofTheorem..(II) 
IV.B ProofofTheorem.. 
PartIV. Accuracyandupdating
. PlanConditionalization 
. Forward-facingargument 
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contents ix
. Backwards-facingargument 
. Neither-facingargument 
. DiachronicConditionalization 
. Theargumentfromthepriorstandpoint 
. Theargumentfromdiachroniccontinence 
AppendixV:Themathematicalresults 
V.A ProofofTheorem.. 
V.B ProofofTheorem.. 
V.C ProofofTheorem.. 
V.D ProofofTheorem.. 
V.E ProofofTheorem.. 
V.F ProofofTheorem.. 
. Wherenextforepistemicutilitytheory? 
. Infinitelymanycredences 
. Infinitesimalcredences 
. Self-locatingpropositions 
. Risk-sensitivedecisionprinciples 
. Measuringdegreesofincoherence 
. Otherdoxasticstates 
. Epistemicconsequentialism 
Bibliography 
Index 
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