And So On. Two Theories of Regress Arguments in Philosophy Abstract
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And So On. Two Theories of Regress Arguments in Philosophy Abstract This PhD dissertation is on infinite regress arguments in philosophy. Its main goals are to explain what such arguments from many distinct philosophical debates have in common, and to provide guidelines for using and evaluating them. Two theories are reviewed: the Paradox Theory and the Failure Theory . According to the Paradox Theory, infinite regress arguments can be used to refute an existentially or universally quantified statement (e.g. to refute the statement that at least one discussion is settled, or the statement that discussions are settled only if there is an agreed-upon criterion to settle them). According to the Failure Theory, infinite regress arguments can be used to demonstrate that a certain solution fails to solve an existentially or universally quantified problem (e.g. to demonstrate that a certain solution fails to settle all discussions, or that it fails to settle even one discussion). In the literature, the Paradox Theory is fairly well developed, and this dissertation provides the Failure Theory with the same tools. Cover painting: ‘Going around in circles’ by Sanne Rous (2010) Contact [email protected] http://sites.google.com/site/janwillemwieland/ Submission 12/12 Defense and minor changes 2/13 Supervisor Prof. Dr. Erik Weber, Ghent University Co-Supervisor Prof. Dr. Maarten Van Dyck, Ghent University Doctoral Guidance Committee Prof. Dr. Arianna Betti, VU University Amsterdam Reading Committee Prof. Dr. Arianna Betti, VU University Amsterdam Dr. Tim De Mey, Erasmus University Rotterdam Dr. Bert Leuridan, Ghent University Prof. Dr. Joke Meheus, Ghent University Prof. Dr. Benjamin Schnieder, University of Hamburg Chair Examination Committee Prof. Dr. Freddy Mortier, Ghent University Faculteit Letteren en Wijsbegeerte Jan Willem Wieland And So On. Two Theories of Regress Arguments in Philosophy Proefschrift voorgedragen tot het behalen van de graad van Doctor in de Wijsbegeerte 2012 Contents Foreword vii 1. Introduction 1 1.1. Key terms and hypotheses 1.1.1. Argument schema, instance 1.1.2. Reconstruction, evaluation 1.1.3. Regress, regress argument 1.2. Everyday regresses 1.3. The use of schemas 1.3.1. Metaphilosophical arguments 1.3.2. Methodological arguments 1.3.3. Obstacles 1.4. Overview 2. Regress Argument Schemas 27 2.1. Desiderata 2.2. The Paradox Schema 2.2.1. Schema 2.2.2. Validity 2.2.3. Boundaries 2.2.4. Literature 2.3. The Failure Schemas 2.3.1. Schemas 2.3.2. Validity 2.3.3. Boundaries 2.3.4. Literature 3. Instances 67 3.1. Argument reconstruction 3.2. Paradox filling instructions 3.3. Failure filling instructions 3.4. Selected full instances 3.4.1. Sextus Empiricus 3.4.2. Lewis Carroll 3.4.3. Russell 3.4.4. Wittgenstein 3.4.5. Ryle 4. Analysis 91 4.1. Comparison schemas I: Structure 4.1.1. Similarities 4.1.2. Generating the regress v And So On 4.1.3. From regress to conclusion 4.1.4. Scepticism 4.1.5. Dialectics 4.2. Regress 4.2.1. Series vs. regresses 4.2.2. Viciousness 4.2.3. Infinity 4.2.4. Circularity 5. Applications 129 5.1. Fallacies 5.2. Regressive Pragmatism 5.3. Carroll’s Tortoise 5.4. Epistemic Infinitism 5.5. Access principle 5.6. Russell’s relations 5.7. Quine/Davidson controversy 6. Meta-Debate 157 6.1. The literature 6.1.1. Three camps 6.1.2. Passmore’s Failure-hypotheses 6.1.3. Gratton’s Failure-hypotheses 6.2. Comparison schemas II: Soundness 6.2.1. Schema choice 6.2.2. In favour of the Failure Schema 6.2.3. Revisionism 7. Epilogue: Two Theories 191 7.1. Taking stock 7.2. The Paradox Theory 7.3. The Failure Theory 7.4. Epilogue Summary in Dutch 199 References 209 vi Foreword The Tortoise was saying, “Have you got that last step written down? Unless I’ve lost count, that makes a thousand and one. There are several millions more to come.” (Carroll 1895) […] and so on ad infinitum, so that, since we have no place from which to begin to establish anything, suspension of judgement follows. (Sextus Empiricus, Outlines of Pyrrhonism ) If you say ‘and so on’, you yourself do not know more than ‘and so on’. (Wittgenstein 1956) 1, 2, 3, 4, and so on to infinity. If there is an infinite regress, people usually write this phrase, or some variant of it, because they do not want to go to infinity themselves. For myself, I prefer simply ‘and so on’, accompanied by a bit of handwaving. The phrase suggests that the idea is clear, that from that point onward the regress is obvious. The reader knows how to go on. But do we really know how to go on in each and every case? No doubt most of us, except perhaps Wittgenstein’s pupil (see his 1953: §185), do know how to go on in cases involving natural numbers. For many regresses, though, I am not so sure. In this dissertation on regress arguments, I collect and spell out a variety of cases deriving from all corners of philosophy: from concerns about morality to problems about rationality, from Sextus to Russell to contemporary philosophers. Still, even if one does know how to go on, it is not clear what follows. If there is an infinite regress, then what ? What is to be concluded from it? As one philosopher put it after having described such a regress: How does “the story go on from here”? (Johnson 1978: 68) As another philosopher ‘solved’ this issue: Here the narrator, having pressing business at the Bank, was obliged to leave the happy pair. (Carroll 1895: 280) In other words, we want to know not only what regresses are, but also what kinds of conclusions can be drawn from them. This is the most important query in this dissertation, and I explore two different answers to it. vii And So On Specifically, I develop two theories of regress arguments, which will be called the Paradox Theory and the Failure Theory . I readily admit that this dissertation is no especially academic production embedded in cutting-edge, quickly evolving discussions in our field. Also, it is not my own deepest production; not a resolute attempt to open up our way of looking at the world and ourselves. I have tried to do such things elsewhere, modestly, in my side project on Pyrrhonian scepticism, i.e. the view that propagates global suspension of belief. This dissertation is of a different nature. First, it is intended as a real, scientific project with a clear and, in some sense, timeless objective: to find out how regress arguments are supposed to work. This just had to be sorted out. I am of course not the first to address this topic, but my predecessors are few in number and have left unresolved some rather delicate issues (especially regarding the Failure Theory, which is my original contribution to the debate). Second, the results of this study ought to be of interest to anyone who employs regresses in one’s reasoning; virtually, then, to all philosophers. Third, it aims to contribute to the progress of philosophy as a discipline. Like any other inquirer into philosophical methodology (i.e. the branch of philosophy which studies how philosophers can and should proceed), I hope that my investigation will make a difference to the philosopher’s practice. Particularly, I hope that from now on disputes about any particular regress argument (concerning what it establishes, or concerning whether it can be resisted) will be more clearly motivated, and indeed more clearly framed, in terms of the Paradox or Failure Theories outlined in what follows. viii FOREWORD Several acknowledgements are in order. I am grateful to: Tim De Mey for sending me to Ghent. To Erik Weber and Maarten Van Dyck for taking me on board, providing a nice niche for the kind of project that I wanted to pursue, and advice during the past years. Special thanks to Erik for showing how to do things hypothetically and for urging me to find more applications, and to Maarten for stimulating my interests in epistemology through our first-year course. To Arianna Betti and Anna-Sofia Maurin for advice from a distance and attracting my attention to the debate on regress arguments in the first place. To the Research Foundation Flanders (FWO) for funding my research project. To Jon Sozek for the language edit. To Sanne Rous for the cover painting. To Gitte Callaert for help with the design. To Mathieu Beirlaen, Frederik Van De Putte and Christian Straßer for checking parts of the formalisations. To Philipp Blum for reminding me of the Sisyphus case which closes this dissertation. To audiences and colleagues at many conferences and seminars for discussion and suggestions. To the referees of my articles. To Eline, Annemart, Frijk and my parents for plenty of unrelated things. And finally to Prof. Dr. Freddy Mortier, the chair of the examination committee, and to Prof. Dr. Arianna Betti, Dr. Tim De Mey, Prof. Dr. Joke Meheus, Dr. Bert Leuridan, and Prof. Dr. Benjamin Schnieder for taking part in my reading committee, and to Bert and Benjamin for helpful feedback in the final stage (Benjamin’s insistence on the formal details of my story led to substantial improvements of §2). ix §1 Introduction And So On 1.1. Key Terms and Hypotheses In the following I identify six key terms of this dissertation: argument schema, instance, reconstruction, evaluation, regress, and regress argument. I do not pretend to say anything new or controversial in this part. My aim is only to explicate what will be meant by the terms.