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1、Kant'sTranscendentalMethodandHisTheoryofMathematicsJaakkoHintikka1.TheaimofthispaperAversion."Bversion`"Thispaperhasadualaim.Ontheonehand,itisapartofaIcalltranscendentalallknow-Icalltranscendentalallledgewhichisconcerned,notsoknowledgewhichiscon-largeratt
2、empttounderstandthenatureofKant'sideasofmuchwithobjects,aswithourcerned,notsomuchwithtranscendentalmethodandtranscendentalknowledgeandconceptsapriariaboutobjectsobjects,aswithourmodeoftheirimplications,forinstance,thequestionastowhattheingeneral.(A11-12.)
3、knowledgeofobjectsinobjectsoftranscendentalknowledgeare.Ontheotherhand,general,insofarasthisIamoutliningonceagainwhatItaketobethetrue[knowledge]istobepos-argumentativestructureofKant'sdoctrinesofthemathe-sibleapriori.(B25.)maticalmethod,space,time,andthef
4、ormsofinnerandoutersense.Thelinkbetweenthetwoisthatonmyinter-ThesedefinitionsorcharacterizationsseemtoidentifypretationKant'stheoryofmathematicsoffersanexcellenttranscendentalknowledgesimplyandsolelywiththekindexampleoftheapplicationsofhistranscendentalme
5、thod.ofknowledgewehaveingeneralepistemology.InordertoMoreover,afterhavingrecentlydefendedmyconstrualofappreciatethepointofKant'scharacterizationswemustKant'sviewsonmathematicalreasoningandtheirfounda-lookuphisfurtherexplanationsconcerningtranscenden-tiono
6、nhistoricalandtextualgrounds,itmaybeinordertotalargumentation.Theobvioustexttoconsultishisdefini-trytovindicateitinanotherway,towit,byrelatingittotionofthemostimportanttypeoftranscendentaltheoverallnatureofKant'sphilosophy,includinghisideaargument,viz.tra
7、nscendentaldeduction:oftranscendentalknowledge.Isuspectthatthismaybeabetterwayofconvincingmycolleaguesthannitty-grittyTheexplanationofthemannerinwhichconceptscanthusrelateaprioritoobjectsIentitletheirtranscendentaldeduction.(A85analysesofKantiantexts.Atth
8、esametime,thisapproach=B117.)offersmeachanceofindicatingsomeoftheconsequencesofmyresultsconcerningKant'stheoryofmathematicsforThe"mannerinwhichconceptscan..,relatetoobjects"therestofhisphilosophy.Itturnsoutthattheob