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1、TheMathematicalAnalysisofLogicByGEORGEBOOLEI.INIVER51TYOFTORONTOUNiVOFTORONTO^THEMATHEMATICALANALYSISOFLOGICTHEMATHEMATICALANALYSISOFLOGICBEINGANESSAYTOWARDSACALCULUSOFDEDUCTIVEREASONINGByGEORGEBOOLEPHILOSOPHICALLIBRARYNEWYORKPublishedintheUnitedStatesofAmerica1948,bythePhilosophicalLibrary,Inc
2、.,15East40thStreet,NewYork,N.Y.THEMATHEMATICALANALYSISOFLOGIC,BEINGANESSAYTOWARDSACALCULUSOFDEDUCTIVEREASONING.BYGEORGEBOOLE.ETTIKOIIHOVOVO-IfitTrdcraiattiriffTiJimaLaXtjX.<mKararaKoivd.Koivdtyai,otvxpiavrai.wsIKTOVTWVdiro&tiKvvvrt?ctXXouirtpltovbtiKVvovffou&f.octiKVvovcri.ARISTOTLE,An
3、al.Posf.,lib.i.cap.xi.CAMBRIDGE:MACMILLAN,BARCLAY,&MACMILLAN;LONDON:GEORGEBELL.1847o/PRINTEDINENGLANDBYHENDERSON&SPALDINGLONDON.W.IPREFACE.INpresentingthisWorktopublicnotice,Ideemitnotirrelevanttoobserve,thatspeculationssimilartothosewhichitrecordshave,atdifferentperiods,occupiedmythoughts.Inth
4、espringofthepresentyearmyattentionwasdirectedtothequestionthenmovedbetweenSirW.HamiltonandProfessorDeMorgan;andIwasinducedbytheinterestwhichitinspired,toresumethealmost-forgottenthreadofformerItappearedtomethat,althoughLogicinquiries.mightbeviewedwithreferencetotheideaofquantity,*ithadalsoanoth
5、erandadeepersystemofrelations.Ifitwaslawfultoregarditfromwithout,asconnectingitselfthroughthemediumofNumberwiththeintuitionsofSpaceandTime,itwaslawfulalsotoregarditfromwithin,asbaseduponfactsofanotherorderwhichhavetheirabodeintheconstitutionoftheMind.Theresultsofthisview,andoftheinquirieswhichi
6、tsuggested,areembodied,inthefollowingTreatise.ItisnotgenerallypermittedtoanAuthortoprescribethemodeinwhichhisproductionshallbejudged;buttherearetwoconditionswhichImayventuretorequireofthosewhoshallundertaketoestimatethemeritsofthisperformance.Thefirstis,thatnopreconceivednotionoftheimpossibilit
7、yofitsobjectsshallbepermittedtointerferewiththatcandourandtheofTruthdemandsimpartialitywhichinvestigation;thesecondis,thattheirjudgmentofthesystemasawholeshallnotbefoundedeitherupontheexaminationofonly*Seep.42.PREFACE.apartofit,or