KANT on LOGICAL FORM by Alexandra Mary Newton

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KANT on LOGICAL FORM by Alexandra Mary Newton KANT ON LOGICAL FORM by Alexandra Mary Newton M.A. in Philosophy and German Literature, Universität Tübingen, 2003 Submitted to the Graduate Faculty of Arts and Sciences in partial fulfillment of the requirements for the degree of Doctor of Philosophy University of Pittsburgh 2010 UNIVERSITY OF PITTSBURGH FACULTY OF ARTS AND SCIENCES This dissertation was presented by Alexandra Mary Newton It was defended on September 30th, 2010 and approved by Robert Brandom, Distinguished Professor of Philosophy, University of Pittsburgh Nicholas Rescher, University Professor, Philosophy, University of Pittsburgh Sebastian Rödl, Professor, Philosophy, University of Basel Karl Schafer, Assistant Professor, Philosophy, University of Pittsburgh Dissertation Co-Director: Stephen Engstrom, Professor, Philosophy, University of Pittsburgh Dissertation Co-Director: John McDowell, Distinguished University Professor of Philosophy, University of Pittsburgh ii Copyright © by Alexandra M. Newton 2010 iii KANT ON LOGICAL FORM Alexandra M. Newton, PhD University of Pittsburgh, 2010 Most philosophers today assume what Kant might have called a ‘material’ conception of logic. According to the material conception, the laws of logic obtain independently of our consciousness of them, because they are either objective ‘laws of truth’, laws governing linguistic practices, or laws innate to our cognitive capacities. But it is often overlooked that this view of logic faces intractable difficulties in providing an adequate explanation of how these laws govern the mind. (Both rationalist and empiricist attempts to offer an explanation have been made.) The material conception immunizes logic from these problems, since it assumes that they do not concern logic, but merely concern epistemological views about what it is to have knowledge of logic. In this dissertation I argue that Kant avoids the epistemological difficulties because he has a ‘formal’ conception of general logic, according to which logical operations and rules articulate self-consciousness in any exercise of the understanding. That is, they are not rules or procedures for generating intellectual acts (such as judgments), nor are they products of intellectual acts. Instead, they bring to (self-) consciousness the necessity (or ‘necessary synthetic unity’) in the activity of the understanding itself. Logical cognition thus is not material cognition of that which is distinct from our cognition of it, but instead is formal cognition, or cognition that iv any act of cognition has of itself. I argue that we cannot fully appreciate these points if we assume an ‘analytic approach’ to Kant’s logic, according to which logical operations consist in mere acts of comparison (or analysis) of representations. General logic must primarily concern itself with the understanding’s acts of synthesis in cognition, acts that are directed at an inner telos or purpose (namely, systematic unity in the whole of cognitions). Kant’s conception of logical form thus invokes an organic notion of ‘form’ that is linked to the teleological structure of our cognitive capacities. v TABLE OF CONTENTS PREFACE ................................................................................................................................. VIII NOTES ON SOURCES AND ABBREVIATIONS .................................................................. XI 1.0 INTRODUCTION .................................................................................................................. 1 1.1 OVERVIEW ................................................................................................................... 1 1.2 WHAT IS LOGIC? ........................................................................................................ 2 1.3 LOGIC AS A SCIENCE .............................................................................................. 11 2.0 CONCEPTS ........................................................................................................................... 17 2.1 WHAT IS A CONCEPT? ............................................................................................ 18 2.2 CONCEPTS AND APPERCEPTION: CONCEPT-FORMATION AND THE FORM OF A CONCEPT ................................................................................................... 34 2.2.1 Interpretive Difficulties Surrounding the Notion of Logical Reflection ...... 34 2.2.2 Logical Reflection and the Clarity of Concepts .............................................. 42 2.2.3 Objection 1: Reflection in the Brutes .............................................................. 48 2.2.4 Objection 2: Reflection in Concept-Formation .............................................. 51 2.2.5 Generality of the ‘I think’ and the Extension of a Concept .......................... 58 3.0 JUDGMENT .......................................................................................................................... 63 3.1 THE ANALYTIC APPROACH .................................................................................. 65 vi 3.2 REICH’S SYNTHETIC APPROACH ....................................................................... 72 3.3 THE MERE SYNTHETIC APPROACH .................................................................. 78 3.3.1 Analytic and Synthetic Unity of Apperception ............................................... 78 3.3.2 Analytic and Synthetic Unity of Apperception in a Judgment ..................... 81 3.3.3 Two Senses of “Logical Form” ........................................................................ 85 3.3.4 The Organic Unity of Judgment ...................................................................... 96 4.0 INFERENCE ....................................................................................................................... 103 4.1 INFERENCES OF THE UNDERSTANDING ........................................................ 104 4.2 INFERENCES OF REASON .................................................................................... 114 4.2.1 The Analytic Approach................................................................................... 116 4.2.2 The Synthetic Approach ................................................................................. 126 4.3 LOGICAL VALIDITY .............................................................................................. 144 5.0 CONCLUSION ................................................................................................................... 151 5.1 LOGIC AND SELF-CONSCIOUSNESS ................................................................. 151 5.2 AGAINST EMPTY FORMALISM: KANT’S ORGANIC CONCEPTION OF LOGICAL FORM ............................................................................................................ 159 APPENDIX: PROFILING KANT’S POSITION ON THE FORM OF DISCURSIVE CONCEPTS IN RELATION TO HIS PREDECESSORS ................................................... 165 BIBLIOGRAPHY ..................................................................................................................... 175 vii PREFACE In working on this dissertation, I have spent almost as much time trying to understand Kant as I have spent trying to understand my advisors, Stephen Engstrom and John McDowell. If I have succeeded in understanding any one of them, it has only been in virtue of understanding the others. And if I have understood anything in philosophy at all, I think it has been because I have understood at least one of these philosophers. I am immensely grateful to them for giving me a sense of what it is important to understand. The initial project was inspired by John McDowell’s non-hybrid account of knowledge in “Knowledge and the Internal”, a paper to which I have returned on several occasions while writing this dissertation. I am very grateful to John for listening to my fumbling attempts to articulate a thought in the beginning phases of writing my dissertation, and for sometimes formulating the thought for me. I never left his office without something new and important to think about. My greatest intellectual debt is to Stephen Engstrom, whose seminar on judgment and papers on Kant’s theoretical philosophy (especially “Understanding and Sensibility”) set me on my present course of research. Steve has helped me over the past few years in more ways that I can hope to express here. My debt to him is blatant on every page of this dissertation. I am grateful to him for his kind support and encouragement, his patience, and for the countless hours he spent discussing my work. Steve’s refusal to skip any steps in the progress of a thought, even viii under duress, has taught me a great deal about intellectual integrity. Most of all, I am grateful to Steve for getting me to appreciate the fundamental principles of his philosophical system, since I believe that these principles will have a lasting influence on my pursuits in philosophy. Sebastian Rödl’s seminar on self-consciousness was one of those events in Pittsburgh that changed my entire way of thinking about philosophy. His written works have had a huge influence on what I think. I thank Robert Brandom for his comments on my project, which have always been encouraging, even when critical. I hope that, at some later stage of this project, I will be able to meet his challenges. I am thankful also to Nicholas Rescher and Karl Schafer for their comments in the final stages of my dissertation. I will always have fond memories of the incredible community of graduate students in Pittsburgh.
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