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Symmetry and its discontents: essays on the history of inductive probability PDF

293 Pages·2005·1.075 MB·English
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This page intentionally left blank Symmetry and Its Discontents Thisvolumebringstogetheracollectionofessaysonthehistoryandphilosophy of probability and statistics by one of the eminent scholars in these subjects. Written over the last fifteen years, they fall into three broad categories. The first deals with the use of symmetry arguments in inductive probability, in particular, their use in deriving rules of succession (Carnap’s “continuum of inductivemethods”).Thesecondgroupdealswithfouroutstandingindividuals who made lasting contributions to probability and statistics in very different ways:FrankRamsey,R.A.Fisher,AlanTuring,andAbrahamdeMoivre.The lastgroupofessaysdealswiththeproblemof“predictingtheunpredictable”– making predictions when the range of possible outcomes is unknown in ad- vance.Theessaysweavetogetherthehistoryandphilosophyofthesesubjects and document the fascination that they have exercised for more than three centuries. S. L. Zabell is professor of mathematics and statistics at Northwestern Uni- versity.AFellowoftheInstituteofMathematicalStatisticsandtheAmerican StatisticalAssociation,heservesontheeditorialboardsofCambridgeStudies in Probability, Induction, and Decision Theory, and The Collected Works of RudolphCarnap.HereceivedtheDistinguishedTeachingAwardfromNorth- westernUniversityin1992. CambridgeStudiesinProbability, Induction,andDecisionTheory Generaleditor:BrianSkyrms Advisoryeditors:ErnestW.Adams,KenBinmore,JeremyButterfield, PersiDiaconis,WilliamL.Harper,JohnHarsanyi, RichardC.Jeffrey,JamesM.Joyce,WlodekRabinowicz, WolfgangSpohn,PatrickSuppes,SandyZabell ElleryEells,ProbabilisticCausality RichardJeffrey,ProbabilityandtheArtofJudgment RobertC.Koons,ParadoxesofBeliefandStrategicRationality Cristina Bicchieri and Maria Luisa Dalla Chiara (eds.), Knowledge, Belief, andStrategicInteractions PatrickMaher,BettingonTheories CristinaBicchieri,RationalityandCoordination J.HowardSobel,TakingChances JanvonPlato,CreatingModernProbability:ItsMathematics,Physics,and PhilosophyinHistoricalPerspective ElleryEellsandBrianSkyrms(eds.),ProbabilityandConditionals CristinaBicchieri,RichardJeffrey,andBrianSkyrms(eds.),TheDynamics ofNorms PatrickSuppesandMarioZanotti,FoundationsofProbabilitywith Applications PaulWeirich,EquilibriumandRationality DanielHausman,CausalAsymmetries WilliamA.Dembski,TheDesignInference JamesM.Joyce,TheFoundationsofCausalDecisionTheory YairGuttmann,TheConceptofProbabilityinStatisticalPhysics JosephB.Kadane,MarkB.Schervish,andTeddySeidenfeld(eds.), RethinkingtheFoundationsofStatistics PhilDowe,PhysicalCausation SvenOveHaussan,TheStructureofValuesandNorms PaulWeirich,DecisionSpace Symmetry and Its Discontents Essays on the History of Inductive Probability S. L. ZABELL NorthwesternUniversity    Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press TheEdinburghBuilding,Cambridge,UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridg e.org /9780521444705 © S. L. Zabell 2005 Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionof relevantcollectivelicensingagreements,noreproductionofanypartmaytakeplace withoutthewrittenpermissionofCambridgeUniversityPress. Firstpublishedinprintformat 2005 - ---- eBook (NetLibrary) - --- eBook (NetLibrary) - ---- hardback - --- hardback - ---- paperback - --- paperback CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofs forexternalorthird-partyinternetwebsitesreferredtointhispublication,anddoesnot guaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate. ForDickJeffrey,mentorandfriend.

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