[David_Rapport_Lachterman]_The_Ethics_of_Geometry

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1、TheEthicsofGeometryTheEthicsofGeometryAGENEALOGYOFMODERNITYDavidRapportLachtermanRoutledgeNewYorkandLondonPublishedin1989byRoutledgeanimprintofRoutledge,ChapmanandHall,Inc.29West35thStreetNewYork,NY10001PublishedinGreatBritainbyRoutledge11NewFetterLaneLondonEC4P4EECopyright©1989b

2、yRoutledge,ChapmanandHall,Inc.PrintedintheUnitedStatesofAmericaAllrightsreserved.Nopartofthisbookmaybereprintedorreproducedorutilizedinanyformorbyanyelectronic,mechanicalorothermeans,nowknownorhereafterinvented,includingphotocopyingandrecording,orinanyinformationstorageorretrieva

3、lsystem,withoutpermissioninwritingfromthepublishers.LibraryofCongressCataloginginPublicationnataLachterman,DavidR.,1944-Theethicsofgeometry:agenealogyofmodernthought/DavidR.Lachterman.p.cm.Bibliography:p.Includesindex.ISBN0-415-90053-0;ISBN0-415-90141-3(pb)1.Geometry-Philosophy.I

4、.Title.QA447.L331989516'.001-dc1988-26518CIPBritishLibraryCataloguinginPublicationnataalsoavailableContents?:-efaceixcknowledgmentsxvuCO�STRUCTIONASTHEMARKOFTHEMODERN1-24IProjection,Construction,andtheIdeaofModernity1II"MasterofNature,SotoSpeak":ConsequencesofConstructioninVicoa

5、ndKant7IIITwoZoroasters:ASenseofEndings16THEEUCLIDEANCONTEXT:GEOMETRIAMOREETHICODE.IOXSTRATA25-123IPreamble25IIEpisodesofPrudenceandImprudenceintheElements29Ratios,Multitudes,andMagnitudes2911Homogeneity331lISamenessofRatios42IVConclusions48IIIThePowersandIdiomsofConstructioninG

6、reekGeometry491-TheEstablishmentoftheKantianOrthodoxy50-GenesisandKnowing61nThePerfectImperative65-11TheEvidentiaryForceofConstructionsinGreek�Iathematics67InstrumentalConstructions7011ConstructionasOperation(SensoryandImaginative)761lINoesisand"Mental"Construction87nIlConstru

7、ctibilityandthe"Existence"ofGeometricalBeings91Introduction9111EinaiandExistenceinAristotle931lIHyparxisandDeixisinStoicism98IVEssenceand"Existence"intheMedievalArabicTradition103viContentsvKant'sRelationtoPremodernUnderstandingsofExistenceJ08IXTheEnigmaofthePostulates110XConclus

8、ions1213DESCARTES'REVOLUTIONARYPATERNITY