[probability.theory---the.logic.of.science].(e..t..jaynes)

《[probability.theory---the.logic.of.science].(e..t..jaynes)》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、PROBABILITYTHEORYTHELOGICOFSCIENCEPROBABILITYTHEORYTHELOGICOFSCIENCEE.T.JayneseditedbyG.LarryBretthorstCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,Cambridge,UnitedKing

2、domPublishedintheUnitedStatesbyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521592710©E.T.Jaynes2003Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,norep

3、roductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2003ISBN-13978-0-511-06589-7eBook(NetLibrary)ISBN-100-511-06589-2eBook(NetLibrary)ISBN-13978-0-521-59271-0hardbackISBN-100-521-59271-2hardbackCambrid

4、geUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofsforexternalorthird-partyinternetwebsitesreferredtointhisbook,anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate.DedicatedtothememoryofSirHaroldJeffreys,whosa

5、wthetruthandpreservedit.ContentsEditorsforewordpagexviiPrefacexixPartIPrinciplesandelementaryapplications1Plausiblereasoning31.1Deductiveandplausiblereasoning31.2Analogieswithphysicaltheories61.3Thethinkingcomputer71.4Introducingtherobot81.5Booleanalgebra91.6A

6、dequatesetsofoperations121.7Thebasicdesiderata171.8Comments191.8.1Commonlanguagevs.formallogic211.8.2Nitpicking232Thequantitativerules242.1Theproductrule242.2Thesumrule302.3Qualitativeproperties352.4Numericalvalues372.5Notationandfinite-setspolicy432.6Comments4

7、42.6.1Subjectivevs.objective442.6.2Godel¨stheorem452.6.3Venndiagrams472.6.4TheKolmogorovaxioms493Elementarysamplingtheory513.1Samplingwithoutreplacement523.2Logicvs.propensity603.3Reasoningfromlesspreciseinformation643.4Expectations663.5Otherformsandextensions

8、68viiviiiContents3.6Probabilityasamathematicaltool683.7Thebinomialdistribution693.8Samplingwithreplacement723.8.1Digression:asermononrealityvs.models733.9Correctionforcorrelations7