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SPACE AND INCONGRUENCE SYNTHESE HISTORICAL LIBRARY TEXTS AND STUDIES IN THE HISTORY OF LOGIC AND PHILOSOPHY Editors: N. KRETZMANN, CornellUniversity G. NUCHELMANS, University ofLeyden L. M. DE RIJK, University ofLeyden EditorialBoard: J. BERG, Munich InstituteofTechnology F. DEL PUNTA, Linacre College,Oxford D. P. HENRY, University ofManchester J. HINTIKKA B.MATES, University ofCalifornia,Berkeley J. E. MURDOCH, HarvardUniversity G. PATZIG, University ofGottingen VOLUME 21 JILL VANCE BUROKER SPACE AND INCONGRUENCE The OriginofKant's Idealism Springer-Science+Business Media, B.Y. LibraryofCongressCatalogingin Publication Data Buroker.JillVance,1945 Spaceand incongruence. [Synthcw historicallibrary : textsandstudiesinthehistoryof logicand philosophy ;v,21) Bibliography:p. Includesindex. I. Kanl,Immanuel,1724-1804. 2. Idealism. 3. Spal~and time. 4. Lcibniz,Cottfncd Wilhelm,frciherrvon,1646-1716· Innuenl'C. I. Title. II. Series. B2799.142B87 110 80-5009 AACR2 ISBN978-90-481·8363-0 ISBN978-94-015-7660-4(cBnok) 00110.10071978-94-015·76604 Published by O.ReidelPublishingCompany, P.O.Box 17.3300AADordrecht,Holland. Soldanddistributed in the U.S.A.andCanada byKluwerBoston Inc. 190Old Derby Street,Hingham,MA02043,U.S.A. Inallothercountries, soldanddistributed byKluwer AcademicPublishersGroup, P.O.Box322,BOOAHDordrecht,Holland. D. ReidelPublishingCompanyisamemberofthe KluwerGroup. AllRights Reserved Copyright€I SpringerScience-BusinessMediaDordrecht1981 OriginallypublishedbyD.ReidelPublishingCompany,Dordrecht,Hollandin1981. Snftcoverreprintofthehardcoverlstedition1981 No partof thematerialprotected by thiscopyright notice maybe reproducedor utilizedinanyform orbyanymeans,electronicormechanical, includingphotocopying,recordingor byany informationstorageand retrievalsystem, withoutwritten permissionfrumthecupyright owner TABLE OF CONTENTS ACKNOWLEDGMENTS vii INTRODUCTION CHAPTER 1/ Absolute and Relational Theories ofSpace 7 CHAPTER 2/ Kant's LeibnizianHeritage 24 CHAPTER 3 / Incongruent Counterpartsand the Nature ofSpace 50 CHAPTER 4 / IncongruentCounterpartsand the Nature ofSensibility 69 CHAPTER 5 / IncongruentCounterpartsand ThingsinThemselves 92 CHAPTER 6 / Kant's Metaphysicsof Spaceand Motion 119 CONCLUSION / TheSignificanceof IncongruentCounterparts 132 BIBLIOGRAPHY 135 INDEX 139 ACKNOWLEDGMENTS This book grew out of my Ph.D. dissertation at the University ofChicago, 'The Development of Kant's Metaphysics of Nature', largely because of the patient guidance of my advisorthere, WarnerA.Wick. Nelson Pikeand Guy Sircello, my former colleagues at the University of California, Irvine, each gave me unselfishly and cheerfully the benefit of his philosophical insight, and encouraged me through the many revisionsrequired to clarify my argu ments. I am equally indebted to Gordon Brittan forhispainstakingcriticism of an early draft ofthe manuscript,and for his willingnessto read later ver sions with the same care and attention. Without the aid of these gentlemen this book would not havecomeinto being. Others whosecomments andsuggestionsIfound helpful areHenryAllison, Arthur Melnick,ManleyThompson, Kirk Wilsonand Eleutherius Winance.I alsowishto thank the philosophydepartmentsat the UniversityofCalifornia, Los Angeles, the Claremont Graduate School, the University of California, San Diego,and Stanford University for givingmeopportunities to read parts of the manuscript. LongBeach, Ca. JILL VANCE BUROKER 1980 vii INTRODUCTION Kantian transcendental idealism is the thesis that fundamental aspects of experience arecontributedby the perceivingsubject rather than by the things experienced, and are not features of things as they exist independently of sensible perceivers. This is undoubtedly the most striking and at the same time the most puzzling of Kant's Criticalviews.Itisstrikingbecausenothing could be lesscommonsensical than the beliefthat thingsasweperceivethem have nothing in common with things as they areindependently ofbeingper ceived. From a more technical point of viewthe doctrine ispuzzlingbecause Kant apparently does not support it very well. Beginningwith Kant's con temporaries, critics have pointed out that among all the arguments for the theory in the CritiqueofPureReason,none entails the conclusion that things in themselvescannot be like objects ofsense experience in any way. So,for example, although transcendental idealism is compatible with Kant's theory of synthetic a priori knowledge,there isnothing in the analysis of the syn thetic a priori ruling out the possibility that features contributed to experi ence by the perceivingsubject correspondto characteristics of thingsinthem selves, although we might neverknow this to be so.And even though Kant sees transcendental idealism as a solution to the Antinomies,this is at best indirect supportfor the view;there areundoubtedlyotherwaysto get around thesetraditionalmetaphysical puzzles.Moreover,Kant assertsthe merely sub jective character ofsensiblerepresentationsin 1770,longbefore he developed the theory of the Antinomies. Because the mere subjectivity of objects as experienced is such a radical notion, it is incumbent on Kant to provide especiallygood reasonssupportingit. The purpose ofthis book isto explainin detail how Kant came to formu late two Critical doctrines associated with transcendental idealism. One is the viewdiscussed above, that objects ofsenseexperience cannotcorrespond to or represent things in themselves.The second isthe theory ofideasat the foundation of Kant's idealism, that the sensibility - the capacity to know objects by means of the senses- is a mode ofknowledge distinct from the intellect, neither to be explained in terms of the other. I believethat Kant had good reasons for both views, reasons which can be recognized only if the development of his Critical philosophy ischarted against the philosophy 2 INTRODUCTION of Leibniz. In this book Ishallarguethat these two aspects ofKant'sidealism were the logical outcome of his rejection ofcertain Leibnizian views.More precisely, they developed from a series of arguments Kant made against Leibniz, beginning with his criticism of Leibniz's relational theory of space and ending with a refutation of Leibniz's theory ofknowledge. In short, I believe that Kant's transcendental idealism makes sense only when seen as arepudiationofthe Leibnizian analysisofsenseperception. In a way this should not be so surprising. Most commentators recognize that Kant waseducatedinthe Leibniziantradition,and, inhisearliestwritings, attempted to reconcile that philosophywith the viewsofothergreat thinkers. Kant himself tells us that the Critical philosophy developed out ofhis dis satisfaction with Leibniz's rationalist metaphysics, aided by the scepticism of David Hume. Moreover, the ways in which Kant's mature philosophy diverges from Leibniz's system are readily summarized. Whereas Leibniz thinks that all truths are analytic, Kant distinguishes analytic from synthetic judgments and assignsmetaphysics the status ofsyntheticaprioriknowledge. Whereas Leibniz thinks that the basic mode ofcognition is intellection and explains sense perception as a faulty kind of thinking, Kant argues that the sensibility and the understanding perform different functions, neither reducible to the other. And finally, Leibniz views objects of sense percep tion as phenomenal manifestations of metaphysical substances, although they represent only incompletely these things in themselves. Kant, by con trast, believes that we can know nothing about things as they exist indepen dently of being perceived. Given that the relations between Kantian and Leibnizian thought are well known in broad outline, it is only natural to wonder why the connection between transcendental idealism and Leibnizian idealismhas not beenrecognized before.I think there are two reasonsfor this. The first and more general reason has to do with the mistaken beliefthat the meaning of an idea can be separated from the intellectual context in which it isarticulated.Ithasbecome common to try to evaluatephilosophical positions without taking into account either the roots of the idea in the his tory of philosophy or the way inwhich the position emergeswithin asystem of thought. It is no wonder that,having ignored the historical dimensions of an idea, critics often conclude that it isincomprehensible or without merit. This is one reason why the most intriguing part of the Critical philosophy has not been properly understood - not enough attention has been paid to the relations between Kant's and Leibniz's philosophies. The other reason has to do with the peculiar nature ofKant'sarguments leadingto hisCritical theory ofsenseperception. INTRODUCTION 3 The key to this theory isa seriesofargumentsappearinginwritings from 1768 to 1786. In each caseKant claimsthat the existence ofacertain kind of physical object, which he callsan "incongruent counterpart",demonstrates something about the nature ofspace. Counterparts are objects like left and right hands which are mirror image reflections of one another. Kant calls them incongruent because, in spite oftheir similarities, they cannot besuper imposed on one another, that is, made identical to one another,by any con tinuous motion in space.The first incongruent counterpartsargument occurs in Kant's short essay of 1768, Concerning the Ultimate Foundation ofthe Differentiation ofRegions in Space.In it Kant claims that the existence of incongruent counterparts shows that "absolute spacehasitsown reality inde pendent of the existence of all matter ...". [16,p.37] Ingeneral he argues that left- and right-handed objects areevidence that the Newtonian theory of absolute space is preferable to its competitor, the relational theory ofspace. One puzzle is the connection between incongruent counterparts and the absolute theory of space. The absolutists believed that space is an entity which exists independently of the objects located in it. It is conceivable, according to them, that space could exist even if no spatial objects ever ex isted at all. Opposing this view were many thinkers, among them Leibniz, who argued that space has no independent metaphysical status. Space is nothing more than the set of actual and possible relations physical objects have to one another.Not only is there no such thing as an immaterial space containing material objects;it is not possible to conceive of such a thing ex isting apart from such objects and their relations.Nowit isnot at allapparent that the existence ofa particular kind of physical object can show anything about the metaphysical status ofspace. In recent decades,many writers have commented on this argument,expressingavariety of opinions about the basis of Kant's claim. Among the more recent writers whohave,Ithink,correctly interpreted Kant's line ofthought, there is still disagreement about whether the argument isconvincing. The nature and merit ofKant'sfirst incongruent counterparts argument deservessomemore attention. But even more puzzling is what happens to the argument after 1768. Only two years later, in his Inaugural Dissertation of 1770, Kant claims that the existence of incongruent counterparts supportshisviewthat spaceis a pure form of sensibility, or the mode by which subjects perceive objects external tothem.Furthermore,inthefinal two essaysmentioningincongruent counterparts,in the Prolegomenato any Future Metaphysics (1783)and the Metaphysical Foundations ofNatural Science (1786), Kant emphasizes the conclusion that space is transcendentally ideal, that it isa merely subjective

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