DOCSLIB.ORG

Knowledge Closure and Knowledge Openness a Study of Epistemic Closure Principles

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Knowledge Closure and Knowledge Openness a Study of Epistemic Closure Principles Knowledge Closure and Knowledge Openness A Study of Epistemic Closure Principles Levi Spectre ©Levi Spectre, Stockholm 2009 ISBN 978-91-7155-973-9 Printed in Sweden by US-AB, Stockholm 2009 Contents Preface...........................................................................................................vi Chapter 1: An Introduction to the Closure Debate in Epistemology............... 9 1.1 The Closure Debate ...............................................................................................14 1.2 Layout of the Argument ..........................................................................................17 1.3 Closure and its Motivation ......................................................................................19 1.4 What is the Closure Principle? ...............................................................................23 1.5 Debating Closure....................................................................................................29 1.5.1 Hawthorne’s Arguments.................................................................................29 1.5.2 Nozick on Closure ..........................................................................................32 1.5.3 Dretske on Closure and Heavyweight Propositions .......................................35 1.5.4 Section Summary...........................................................................................37 Chapter 2: Skepticisms and Closure............................................................ 38 2.1 Skepticism and Closure..........................................................................................38 2.1.1 Cartesian Skepticism, Moorianism, and what Comes In-Between.................41 2.2. Cartesian Skepticism.............................................................................................43 2.2.1 Immodest Skepticism .....................................................................................44 2.2.2. Modest Skepticism ........................................................................................47 2.3 Mundane Skepticism ..............................................................................................53 2.4 Live Skepticism.......................................................................................................58 Chapter Summary ........................................................................................................59 Chapter 3: The Kripke Dogmatism Puzzle and Epistemic Ascent ............... 62 Chapter Three Outline ..................................................................................................62 3.1 The Threat of Dogmatism.......................................................................................63 3.1.1 Junk Conditionals and Junk Knowledge ........................................................66 3.1.2 Junks or Knowledge? Dogmatism Repuzzled................................................68 3.1.2.1 A Short Excursion to the Bahamas........................................................77 3.2 Epistemic Ascent ....................................................................................................79 3.2.1. Dogmatism and Easy Knowledge and Bootstrapping ...................................81 3.2.2 Epistemic Ascent and Knowledge of True Belief ...........................................83 Chapter Summary ........................................................................................................87 Chapter 4: Evidence and Open Knowledge................................................. 90 Chapter outline .............................................................................................................90 4.1 The Watch Case and its Probabilistic Analysis. .....................................................91 4.1.1. Evidence and Probabilities............................................................................91 4.2. Probabilistic Argument for Evidence and Knowledge Openness ..........................96 4.3 Evidence Openness from Principles.......................................................................99 4.3.1. Equivalence, Consistency and Addition ......................................................104 4.3.2. Equivalence and Distribution.......................................................................109 4.3.3. EAD, EDIS and the Logic of Evidence ........................................................110 4.3.4. Carnap’s Matrix ...........................................................................................111 Chapter Summary ......................................................................................................114 Chapter 5: Open Knowledge – Costs and Benefits ................................... 119 5.1. From Evidence to Knowledge..............................................................................119 5.1.1. Premise (V) of the Open Knowledge Argument ..........................................124 5.1.1.1. An Objection to the Use of (V) ............................................................127 5.1.1.2. An Objection to (NED) ........................................................................132 5.2. Knowledge Without Evidence..............................................................................137 5.3. Knowledge as Evidence ......................................................................................140 5.3.1. Knowledge as Evidence: Jeffrey Conditionalization....................................142 5.3.2. Knowledge as Evidence: Standard Conditionalization................................144 5.3.3. Knowledge as Evidence: Williamson's Account..........................................148 5.3.3.1. Safety and Chance .............................................................................149 5.3.3.2. Lottery Propositions ............................................................................152 5.3.3.3. The Principal Principle and Practical Deliberation ..............................158 5.3.3.4. Fallibilism ............................................................................................162 5.3.4. Knowledge as Evidence: Conclusion ..........................................................165 5.4. Evidential Knowledge ..........................................................................................166 5.4.1. The Benefits of Epistemic Openness ..........................................................166 5.4.2. Denying Closure: Not as Bad as You Think................................................168 Chapter Summary ......................................................................................................175 Chapter 6: Concluding Remarks................................................................ 179 Appendix: A Short Overview of Bayesianism............................................. 186 A Bayesian Framework .........................................................................................187 Convergence Theorems........................................................................................192 Deep convergence ................................................................................................197 Bibliography ............................................................................................... 199 Chapter 1: An Introduction to the Closure Debate in Epistemology Those are my principles, and if you don't like them... well, I have others. Groucho Marx We know that Socrates was troubled if it is true that Socrates lived and true that, if he lived, he was troubled. We know this since we have excellent rea- son to believe that basic deductive inferences patterns are truth-preserving. If the premises of valid inference patterns are true, we have a logical guarantee that the conclusion is true as well. Such is the case with the modus ponens inference pattern, a candidate as good as any for being valid. The study of logic deals, among other things, with the identification of such patterns as well as with proof of their validity. Yet, when propositional attitudes govern the scope of the premises of provably valid inferences, even with regard to factive attitudes1 such as knowledge, there is no logical guarantee that the conclusion will also fall within their scope (K(p)∧K(p→q)⊬K(q)). Regard- less of the logical guarantee, however, the prevalent inclination is to think that these inferences actually do preserve truth from premises to conclusion. If I know that grass is green, and if I know that if something is green it has a color, I know that grass is colored. We cannot prove that I know this, but a denial would seem very odd. What else would it take for me to know that grass is colored? Not all cases inspire the same confidence as this grass example. My wife knows, since we have talked about this extensively, that if she gets extended time-off from her job, we will go to the Bahamas. She also knows, since her trusted boss has told her as much, that in the case of her husband's unfortu- nate death, she will receive extended time-off. Does she then know that, if I die, we will go to the Bahamas?2 Perhaps she does, or perhaps when she thinks about this, knowledge no longer governs the scope of the premises of this valid inference. The point is that, even though the truth of the premises guarantees the truth of the consequence, knowledge (though tightly con- 1 Factive propositional attitudes are those that entail the truth of the propositions they govern. 2 The example is inspired by Sorensen’s tennis example (1988b:
Load more

Recommended publications
  • Is, Ought, and the Regress Argument
    This is a draft of an article published in the Australasian Journal of Philosophy. Citations should be to published version: https://doi.org/10.1080/00048402.2018.1501400 ​ Is, Ought, and the Regress Argument Abstract: Many take the claim that you can’t ‘get’ an ‘ought’ from an ‘is’ to imply that non-moral beliefs are by themselves incapable of justifying moral beliefs. I argue that this is a mistake and that the position that moral beliefs are justified exclusively by non-moral beliefs– a view I call moral inferentialism – ​ presents an attractive non-skeptical moral epistemology. “Why should I believe this set of propositions?” is quite different from the logical question: “What is the smallest and logically simplest group of propositions from which this set of propositions can be deduced?” –Bertrand Russell, The Philosophy of Logical Atomism p. 129 §1 Is to Ought Of the many theses that have been held about the relationship between thoughts about what is and ​ thoughts about what is good or what ought to be, one of the most straightforward often gets overlooked. ​ ​ ​ The following is, I imagine, a common experience: a thought crosses your mind about how things are, were, or might be. Next, you have an evaluative or a deontic thought – a thought about goodness, badness or about what ought to be done. Not only does the one thought follow the other, but it seems the first thought – the thought about what ‘is’ – justifies the second thought about value or obligation. For ​ ​ instance, you think: ‘The old man collapsed and is in pain,’ and that seems to support the thought that something bad has happened and you ought to help.
    [Show full text]
  • THE MORAL CLOSURE ARGUMENT Matt Lutz
    Journal of Ethics and Social Philosophy https://doi.org/10.26556/jesp.v19i1.243 Vol. 19, No. 1 · January 2021 © 2021 Author THE MORAL CLOSURE ARGUMENT Matt Lutz skeptical hypothesis argument introduces a scenario—a skeptical hypothesis—where our beliefs about some subject matter are systemat- A ically false, but our experiences do not discriminate between the case where our beliefs are true and the skeptical scenario where they are not. Because we are unable to rule out this scenario, we do not know that any of our beliefs about the subject matter are true. As one famous skeptical hypothesis argument goes: I cannot rule out the hypothesis that I am being deceived by a demon. Therefore, I cannot know anything about the external world. By similar token, a moral skeptical hypothesis argument is an argument that moral knowledge is impossible for agents like us in situations like ours, because we are unable to rule out some skeptical hypothesis. In this paper, I will defend a moral skeptical hypothesis argument—the Mor- al Closure Argument—against a number of objections. This argument is not novel, but it has rarely been taken seriously because it is widely held that the argument has serious flaws. My task in this paper is to argue that these supposed flaws are merely apparent; the Moral Closure Argument is much more potent than it might seem. 1. The Moral Closure Argument Let us introduce a few of the concepts that will feature prominently in the dis- cussion to come. Closure: If S knows that P, and P entails Q, and S believes that Q on the basis of competently deducing Q from P, while retaining knowledge of P throughout his reasoning, then S knows that Q.1 A closure argument is a kind of skeptical hypothesis argument that relies on Clo- 1 There are other ways to formulate Closure, but this is the most widely accepted version of the principle.
    [Show full text]
  • These Disks Contain My Version of Paul Spade's Expository Text and His Translated Texts
    These disks contain my version of Paul Spade's expository text and his translated texts. They were converted from WordStar disk format to WordPerfect 5.1 disk format, and then I used a bunch of macros and some hands-on work to change most of the FancyFont formatting codes into WordPerfect codes. Many transferred nicely. Some of them are still in the text (anything beginning with a backslash is a FancyFont code). Some I just erased without knowing what they were for. All of the files were cleaned up with one macro, and some of them have been further doctored with additional macros I wrote later and additional hand editing. This explains why some are quite neat, and others somewhat cluttered. In some cases I changed Spade's formatting to make the printout look better (to me); often this is because I lost some of his original formatting. I have occasionally corrected obvious typos, and in at least one case I changed an `although' to a `but' so that the line would fit on the same page. With these exceptions, I haven't intentionally changed any of the text. All of the charts made by graphics are missing entirely (though in a few cases I perserved fragments so you can sort of tell what it was like). Some of the translations had numbers down the side of the page to indicate location in the original text; these are all lost. Translation 1.5 (Aristotle) was not on the disk I got, so it is listed in the table of contents, but you won't find it.
    [Show full text]
  • The Likeness Regress: Plato's Parmenides 132Cl2-133A7
    THE LIKENESS REGRESS THE LIKENESS REGRESS PLATO'S PARMENIDES 132C12-133A 7 By KARL DARCY OTTO, B.A., M.A. A Thesis Submitted to the School of Graduate Studies In Partial Fulfilment of the Requirements for the Degree Doctor of Philosophy McMaster University © Copyright by Karl Darcy Otto, July 2003 DOCTOR OF PHILOSOPHY (2003) Mc Master University (Philosophy) Hamilton, Ontario TITLE: The Likeness Regress: Plato's Parmenides 132cl2-133a7 AUTHOR: Karl Darcy Otto, B.A. (Toronto), M.A. (McMaster) SUPERVISOR: Professor David L. Hitchcock NUMBER OF PAGES: x, 147 11 Abstract Since Forms and particulars are separate, Plato is left with the task of describing the way in which they are related. One possible way of con­ struing this relation is to suppose that particulars resemble Forms. Socrates proposes this and is refuted by Parmenides in the so-called Likeness Regress (Parmenzdes 132c12-133a7). This work comprises both an exposition and an analysis of the Likeness Regress. In the exposition, I work out the argument-form of the Like­ ness Regress in second-order logic (and later, show that first-order logic is sufficient). This symbolisation provides a baseline for the balance of the exposition, which has two focusses: first, I define what it means for par­ ticulars to resemble Forms, with the help of D. M. Armstrong's account of resemblance in A Theory of Unwersals; second, I demonstrate that the infinite regress argument of the Likeness Regress is indeed vicious, with the help of T. Roy's theory of regress arguments. In the analysis, I proceed with the premiss that an asymmetrical account of the resemblance relation would allow Socrates to escape Parmenides' refu­ tation.
    [Show full text]
  • The Regress Argument I. Doxastic Vs. Propositional Justification There
    Phil. 159: Epistemology October 18, 2018 Lecture 14: The Regress Argument I. Doxastic vs. Propositional Justification There are two importantly different ways in which we talk about justification in the realm of belief: “S is justified in believing P.” “S’s belief in P is justified.” “Believing P is justified for S.” “S’s belief in P is well founded.” “S has a justification for believing P.” “S justifiably believes P.” The sentences in the left-hand column are compatible with S not believing P, and they are compatible with S believing P but for terrible reasons. The sentences in the right-hand column, on the other hand, imply both that S believes P and that S does so for the right reasons. The sort of justification picked out by the sentences in the left-hand column is called propositional justification. The object of assessment here is a proposition, which may or may not be believed by the subject in question. The sort of justification picked out by the sentences in the right-hand column is called doxastic justification. (‘Doxastic’ means ‘pertaining to belief’.) The object of assessment here is a belief. Some authors think beliefs can be morally justified, prudentially justified, aesthetically justified, and so on in addition to being epistemically justified (i.e. justified in that distinctive way which is relevant to knowledge). I will usually drop the ‘epistemically’-qualifier unless it matters. II. Mediate vs. Immediate Justification Some of our beliefs are (doxastically) justified because they are supported by other beliefs that we have. However, in order for these further beliefs to provide the right sort of support, it seems that they themselves must be justified.
    [Show full text]
  • The Regress Argument for Moral Skepticism
    Sara Ash Writing Sample The Regress Argument for Moral Skepticism Introduction An important epistemological question about morality is whether we can be justified in believing any moral claim. Justification of moral beliefs is an important aspect of morality, because without reasons for believing moral claims, morality becomes unacceptably arbitrary. In this paper, I will present and explain the regress argument for moral justification skepticism. Afterward, I will present objections to some of the premises in the argument and accompanying responses to those objections. I conclude at the end of this paper that the regress argument, while valid, is probably not sound and therefore does not successfully undermine moral justification. The Infinite Regress Argument The infinite regress argument is an argument for general skepticism, but Walter Sinnott- Armstrong has adapted the argument to morality and suggests that “If the problems raised by these arguments cannot be solved at least in morality, then we cannot be justified in believing any moral claims” (9). This argument contains a series of conditionals whose consequents comprise disjunctions. By applying the rules of disjunctive syllogism and modus tollens, the argument is intended to show that none of the ways in which a person can be justified in believing a moral claim works. Sinnott-Armstrong’s clear and concise formulation of the infinite regress argument taken from his paper “Moral Skepticism and Justification” in the anthology Moral Knowledge?: New Readings in Moral Epistemology
    [Show full text]
  • The Interplay Between Relations, Substances, and Existence By
    The Interplay Between Relations, Substances, and Existence By Andrew Janes A Thesis Submitted to Saint Mary’s University, Halifax, Nova Scotia in Partial Fulfillment of the Requirements for the Degree of Bachelor of Arts - Honours in Philosophy. April, 2019, Halifax, Nova Scotia Copyright Andrew Janes, 2019 Approved: Scott Edgar Doctor Date: 12/04/19 ​ 2 The Interplay Between Relations, Substances, and Existence by Andrew Janes Abstract This thesis explores the ontology of relations and the implications of it. I make the case that relations between multiple substances are impossible. Furthermore, I argue that existence is a predicate, and can therefore be the predicate of a relation. I do this to push the argument that substances cannot exist in relation to each other. The conclusion I make from this is that only one substance can exist, since otherwise a substance could exist in relation to another substance. This conclusion, I point out, is the doctrine of substance monism. Furthermore, I argue that the self exists, because it is given in experience. Because the self is a substance, and I have argued for substance monism, the self is the only substance there is. This conclusion is idealism, and, in conjunction with substance monism, necessitates solipsism. 12/04/19 3 1. Introduction In this paper, I investigate the commitments one must make when they uphold the Principle of Sufficient Reason (PSR),1 which asserts that for every fact, truth, and state of affairs, there is a sufficient reason that explains why it holds. More specifically, I aim to investigate commitments regarding relations. Furthermore, I aim to show why these commitments ultimately lead to an abandonment of substance pluralism2 and realism.3 That is, one must abandon the PSR if they are to believe that substance pluralism or realism holds true, or abandon substance pluralism and realism if they believe the PSR to be true.
    [Show full text]
  • The Medieval Social Epistemologies of Augustine and Aquinas
    Knowing and Trusting: The Medieval Social Epistemologies of Augustine and Aquinas by Matthew Kent Siebert A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy Department of Philosophy University of Toronto 2014 © Copyright by Matthew Kent Siebert, 2014 Knowing and Trusting The Medieval Social Epistemologies of Augustine and Aquinas Matthew Kent Siebert Doctor of Philosophy Department of Philosophy University of Toronto 2014 Abstract This dissertation is an introductory exploration of two influential medieval thinkers, Augustine and Aquinas, on the topic of testimony. I explain how Augustine’s view that testimony is a source of knowledge (notitia) developed through four stages, and argue that on Augustine’s view testimonial belief is justified inferentially. I argue that Aquinas thinks some testimonial belief is justified inferentially, and some is justified by adhering to the speaker as the formal object of one’s belief, on the grounds that the speaker is truthful. I argue that these provide knowledge when they provide cognitio. And I argue that Aquinas’s view can be developed into a plausible account of testimonial trust and trustworthiness. ii Acknowledgments I am extremely grateful for the guidance and support of Peter King, Martin Pickavé, and Jennifer Nagel in the writing of this dissertation. I am also grateful to Deborah Black, Michael Siebert, Simona Vucu, and Ian Drummond, for their very helpful comments on earlier drafts of some of these chapters. And I am grateful to the Social Sciences and Humanities Research Council of Canada, the Government of Ontario, and the University of Toronto for financial support.
    [Show full text]
  • The Regress Problem
    Chapter 1 The Regress Problem Abstract The attempt to justify our beliefs leads to the regress problem. We briefly recount the problem’s history and recall the two traditional solutions, foun- dationalism and coherentism, before turning to infinitism. According to in- finitists, the regress problem is not a genuine difficulty, since infinite chains of reasons are not as troublesome as they may seem. A comparison with causal chains suggests that a proper assessment of infinitistic ideas requires that the concept of justification be made clear. 1.1 Reasons for Reasons: Agrippa’s Trilemma We believe many things: that the earth is a spheroid, that Queen Victoria reigned for more that sixty years, that Stockholm is the capital of Finland, that the Russians were the first to land on the moon. Some of these beliefs are true, others are false. A belief might be true by accident. Suppose I have a phobia which makes me believe that there is a poisonous snake under my bed. After many visits to a psychiatrist and intensive therapy I gradually try to convince myself that this belief stems from traumatic and suppressed childhood experiences. One fine day I finally reach the point where I, nerv- ous and trembling, force myself to get into bed before first looking under it. Unbeknownst to me or the psychiatrist, however, a venomous snake has escaped from the zoo and has ensconced itself under my bed. My belief in the proposition ‘There is a poisonous snake under my bed’ is true, but it is accidentally true. I do not have a good reason for this belief, since I am © The Author(s) 2017 1 D.
    [Show full text]
  • The Problem of the Criterion and Hegells Model for Epistemic Infinitism
    HISTORY OF PH ILOSO ph Y QUARTERLY Volume 27, Number 4, October 2010 THE PROBLEM OF THE CRITERION AND HEGEL’s MODEL FOR EPISTEMIC INFINITISM Scott F. Aikin I . W. F. Hegel has been an inspiration for nonfoundationalist epis- Gtemology.1 This essay is an extension of that broadly Hegelian tradition. I will argue here that Hegel’s epistemology, because it is cir- cular and historicist, is a form of epistemic infinitism. My core argument is a series of conditionals about Hegel’s epistemology: 1. If we are to solve the problem of the criterion, the criterion must come from within cognition. 2. If a criterion is from cognition, it must be in terms of cogni- tion’s historically situated satisfactions. 3. Cognition is satisfied only if knowledge is complete. 4. Knowledge is complete only if it is systematic. 5. Knowledge is systematic only if it is made explicit by philoso- phy. 6. If a system is made explicit by philosophy, both the system and the articulation must be circular and ongoing. 7. If philosophy’s articulations are circular and ongoing, then they are procedurally infinite. 8. If philosophy is to be procedurally infinite, it must be practiced in a cultural-political climate of an open society with a state protecting freedoms. My main conclusion is that Hegel has presented a unique form of epistemic infinitism, where infinite series of inferences provide justi- fication but the infinite series of inferences are over a finite circular 379 HPQ 27_4 text.indd 379 8/16/10 1:39:54 PM 380 HistoRY OF PHILOSOPHY QUARTERLY system.
    [Show full text]
  • David Atkinson Jeanne Peijnenburg Probability and the Regress Problem
    Synthese Library 383 Studies in Epistemology, Logic, Methodology, and Philosophy of Science David Atkinson Jeanne Peijnenburg Fading Foundations Probability and the Regress Problem Synthese Library Studies in Epistemology, Logic, Methodology, and Philosophy of Science Volume 383 Editor-in-Chief Otávio Bueno, University of Miami, Department of Philosophy, USA Editors Berit Brogaard, University of Miami, USA Anjan Chakravartty, University of Notre Dame, USA Steven French, University of Leeds, UK Catarina Dutilh Novaes, University of Groningen, The Netherlands More information about this series at http://www.springer.com/series/6607 David Atkinson • Jeanne Peijnenburg Fading Foundations Probability and the Regress Problem David Atkinson Jeanne Peijnenburg University of Groningen University of Groningen Groningen, The Netherlands Groningen, The Netherlands Synthese Library ISBN 978-3-319-58294-8 ISBN 978-3-319-58295-5 (eBook) DOI 10.1007/978-3-319-58295-5 Library of Congress Control Number: 2017941185 © The Editor(s) (if applicable) and The Author(s) 2017. This book is an open access publication Open Access This book is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the work’s Creative Commons license, unless indicated otherwise in the credit line; if such material is not included in the work’s Creative Commons license and the respective action is not permitted by statutory regulation, users will need to obtain permission from the license holder to duplicate, adapt or reproduce the material.
    [Show full text]
  • Some Features of Richard Fumerton's Philosophical
    1 SOME FEATURES OF RICHARD FUMERTON’S PHILOSOPHICAL VIEWS (Orange Beach Epistemology Workshop, May 2014) PART ONE I first met Richard at Brown where we were part of the same entering class. From the beginning, he was the star of the class. We both learned a lot about doing philosophy there, but I was doubly fortunate, since I also learned in talking philosophy with Richard. I also saw first hand with him just how productive and how much sheer fun talking philosophy could be. In the years since, Richard has produced an enormous number of important publications: seven authored books, two edited books, and more articles than I was willing to try to count, including two we jointly authored. I’ll talk briefly about one of them later. For the most part, I’m going to be focusing on Richard’s latest book: Knowledge, Thought, and the Case for Dualism (Cambridge University Press, 2013). The first thing to say about this book is that it’s terrific. I mean really terrific. Not just run of mill, grade inflation “terrific.” All of Richard’s usual characteristics are on display, most especially, tremendous clarity and a contrarian spirit that is willing to follow the argument wherever it goes. Something I want to emphasize, however, is the remarkable scope of the book. It’s primarily a defense of property dualism, but in the process of mounting the defense, there’s a vast range of other positions Richard defends. Here’s a very partial list: *A radical empiricist version of foundationalism. *A particular version of internalism, what he calls “internal state internalism,” which asserts that the epistemic status of a belief depends solely on the internal states of the believer; the contrast is to 2 access internalism, which implies that one can always determine by introspection whether one is justified.
    [Show full text]