Intuition As Evidence in Philosophical Analysis: Taking Connectionism Seriously

Total Page:16

File Type:pdf, Size:1020Kb

Intuition As Evidence in Philosophical Analysis: Taking Connectionism Seriously Intuition as Evidence in Philosophical Analysis: Taking Connectionism Seriously by Tom Rand A thesis submitted in conformity with the requirements for the degree of Ph.D. Graduate Department of Philosophy University of Toronto (c) Copyright by Tom Rand 2008 Intuition as Evidence in Philosophical Analysis: Taking Connectionism Seriously Ph.D. Degree, 2008, by Tom Rand, Graduate Department of Philosophy, University of Toronto ABSTRACT 1. Intuitions are often treated in philosophy as a basic evidential source to confirm/discredit a proposed definition or theory; e.g. intuitions about Gettier cases are taken to deny a justified-true-belief analysis of ‘knowledge’. Recently, Weinberg, Nichols & Stitch (WN&S) provided evidence that epistemic intuitions vary across persons and cultures. In- so-far as philosophy of this type (Standard Philosophical Methodology – SPM) is committed to provide conceptual analyses, the use of intuition is suspect – it does not exhibit the requisite normativity. I provide an analysis of intuition, with an emphasis on its neural – or connectionist – cognitive backbone; the analysis provides insight into its epistemic status and proper role within SPM. Intuition is initially characterized as the recognition of a pattern. 2. The metaphysics of ‘pattern’ is analyzed for the purpose of denying that traditional symbolic computation is capable of differentiating the patterns of interest. 3. The epistemology of ‘recognition’ is analyzed, again, to deny that traditional computation is capable of capturing human acts of recognition. 4. Fodor’s informational semantics, his Language of Thought and his Representational Theory of Mind are analyzed and his arguments denied. Again, the purpose is to deny traditional computational theories of mind. 5. Both intuition and a theory of concepts – pragmatic conceptualism - are developed within the connectionist computational paradigm. Intuition is a particular sort of occurrent signal, and a concept is a counterfactually defined set of signals. Standard connectionist theory is significantly extended to develop my position, and consciousness plays a key functional role. This extension – taking connectionism seriously – is argued to be justified on the basis of the failure of the traditional computing paradigm to account for human cognition. 6. Repercussions for the use of intuition in SPM are developed. Variance in intuition is characterized – and expected - as a kind of bias in the network, either inherent or externally- provoked. The WN&S data is explained in the context of this bias. If SPM remains committed to the use of intuition, then intuition must be taken as a part of a larger body of evidence, and it is from experts – not the folk – that intuitions should be solicited. ii For my parents, Peter and Cynthia - scientists, artists and philosophers. What do we know about intuition? What idea have we of it? It’s presumably supposed to be a sort of seeing, recognition at a single glance; I wouldn’t know what more to say.1 - Wittgenstein Good Quinean that I am, I think that it is always up for grabs what an intuition is an intuition of.2 - Fodor 1 Wittgenstein, Cause and Effect: Intuitive Awareness , 18:10 2 Fodor, Concepts ., pg., 87 iii TABLE OF CONTENTS ABSTRACT. II OVERVIEW . 1 ARGUMENT FORM. 6 1. INTUITION . 7 1.1 INTRODUCTION........................................................................................................................... 7 1.2 INTUITIONS ABOUT KNOWLEDGE ASCRIPTIONS: WEINBERG, NICHOLS AND STICH’S NORMATIVITY PROBLEM .................................................................................................................................................... 11 1.2.1 The Normative and Descriptive Projects................................................................................... 11 1.2.2 Epistemic Romanticism & Intuition Driven Romanticism.......................................................... 12 1.2.3 The Normativity Problem..................................................................................................... 13 1.3 FOLK INTUITIONS; EVIDENCE OF WHAT? HYPOTHESES VS. EVIDENCE ................................................ 16 1.4 TWO CONTEMPORARY ANALYSES OF INTUITION; GOLDMAN & PUST, PUST.......................................... 21 1.4.1 Goldman & Pust; The ‘Reliabilist’ View................................................................................. 21 1.4.2 Pust.................................................................................................................................. 25 1.4.2.1 Particularist versus Generalist Intuitions .............................................................................. 25 1.4.2.2 Narrow and Wide Reflective Equilibrium, General and Global Intuitionism .................................... 26 1.4.2.3 The Nature of Intuition as “Intellectual Seeming”................................................................... 30 1.4.2.4 Intuition and Belief........................................................................................................ 31 1.4.2.5 Intuition and Necessity.................................................................................................... 33 1.5 INTUITION, A DEFINITION........................................................................................................... 35 1.5.1 H-Intuition; Reliable Hunches ............................................................................................... 36 1.5.2 O-Intuition; Intuiting the Obvious.......................................................................................... 40 1.5.3 Introspective Support and Epistemic Necessity.......................................................................... 41 1.5.4 Intuition writ Large: H- and O-Intuitions as Pattern Recognition.................................................. 46 2. PATTERN METAPHYSICS . 48 2.1 METAPHYSICS OF PATTERNS – THE LANDSCAPE ............................................................................... 49 2.1.1 A Quick Note on Physicalism ............................................................................................... 50 2.2 DENNETT AND REAL PATTERNS.................................................................................................... 52 2.2.1 Barcodes and Noise .............................................................................................................. 54 2.2.1.1 The Indeterminacy of Signal Choice; Expediency, Interests & Abilities ....................................... 56 2.2.1.2 The Indeterminacy of Underlying Explanatory Processes .......................................................... 59 2.2.2 Life, Chess and a Multiplicity of Perspectives .......................................................................... 60 2.2.3 Lessons: The Indeterminacy of Real Patterns ............................................................................ 62 2.2.4 Dennett; Cautions & Conclusions.......................................................................................... 64 2.2.4.1 Support for Ontological and Epistemic Continuity.................................................................. 66 2.3 HAUGELAND; CONTEXT-DEPENDENCE AND NORMATIVITY ............................................................... 68 2.3.1 Strong Context-Dependence................................................................................................... 69 2.3.2 Normativity, Objecthood and Discernability ............................................................................. 72 2.3.3 Concluding Remarks: Are Constitutive Standards Recognition-Independent?................................... 75 2.4 DREYFUS; THE KINDS OF PATTERNS WE RECOGNIZE ........................................................................ 78 2.4.1 Three Kinds of Patterns ........................................................................................................ 78 2.4.2 Facts, Patterns and Language; The Ontological Assumption........................................................ 82 2.5 PATTERNS; A HIERARCHY OF COMPLEXITY .................................................................................... 85 2.5.1 Amenability to Algorithmic Description.................................................................................. 85 2.5.2 Mind-Dependency................................................................................................................ 89 iv 2.5.3 Degree of Context-Dependency............................................................................................... 91 2.5.4 Comments on Pattern Complexity ......................................................................................... 93 2.6 FINAL DEFINITION OF PATTERN.................................................................................................... 96 3. PATTERN EPISTEMOLOGY OR ‘RECOGNITION’ . 98 3.1 THE PATTERN-REC STANCE AND A NEW COMPUTING PRIMITIVE.......................................................100 3.2 (HUMAN) PATTERN-RECOGNITION TRAITS – OR – WHY WE ARE NOT COMPUTING ...............................102 3.2.1 Fringe Consciousness .........................................................................................................104 3.2.1.1 Accumulated Past and Present Actions as Context...................................................................106 3.2.1.2 Heuristics Top to Bottom ?..............................................................................................108 3.2.1.3 Ambiguity of sub-Pattern
Recommended publications
  • MAGIC Summoning: Towards Automatic Suggesting and Testing of Gestures with Low Probability of False Positives During Use
    JournalofMachineLearningResearch14(2013)209-242 Submitted 10/11; Revised 6/12; Published 1/13 MAGIC Summoning: Towards Automatic Suggesting and Testing of Gestures With Low Probability of False Positives During Use Daniel Kyu Hwa Kohlsdorf [email protected] Thad E. Starner [email protected] GVU & School of Interactive Computing Georgia Institute of Technology Atlanta, GA 30332 Editors: Isabelle Guyon and Vassilis Athitsos Abstract Gestures for interfaces should be short, pleasing, intuitive, and easily recognized by a computer. However, it is a challenge for interface designers to create gestures easily distinguishable from users’ normal movements. Our tool MAGIC Summoning addresses this problem. Given a specific platform and task, we gather a large database of unlabeled sensor data captured in the environments in which the system will be used (an “Everyday Gesture Library” or EGL). The EGL is quantized and indexed via multi-dimensional Symbolic Aggregate approXimation (SAX) to enable quick searching. MAGIC exploits the SAX representation of the EGL to suggest gestures with a low likelihood of false triggering. Suggested gestures are ordered according to brevity and simplicity, freeing the interface designer to focus on the user experience. Once a gesture is selected, MAGIC can output synthetic examples of the gesture to train a chosen classifier (for example, with a hidden Markov model). If the interface designer suggests his own gesture and provides several examples, MAGIC estimates how accurately that gesture can be recognized and estimates its false positive rate by comparing it against the natural movements in the EGL. We demonstrate MAGIC’s effectiveness in gesture selection and helpfulness in creating accurate gesture recognizers.
    [Show full text]
  • Curriculum Vitae
    BAS C. VAN FRAASSEN Curriculum Vitae Last updated 3/6/2019 I. Personal and Academic History .................................................................................................................... 1 List of Degrees Earned ........................................................................................................................................................ 1 Title of Ph.D. Thesis ........................................................................................................................................................... 1 Positions held ..................................................................................................................................................................... 1 Invited lectures and lecture series ........................................................................................................................................ 1 List of Honors, Prizes ......................................................................................................................................................... 4 Research Grants .................................................................................................................................................................. 4 Non-Academic Publications ................................................................................................................................................ 5 II. Professional Activities .................................................................................................................................
    [Show full text]
  • Philosophical Analysis on the Nature and Forms of Information—From the Perspective of Marxist Philosophy †
    Proceedings Philosophical Analysis on the Nature and Forms of Information—From the Perspective of Marxist Philosophy † Mingfang Feng 1 and Liang Feng 2,* 1 School of Economics & Law, Shaanxi University of Technology, No.1, First Eastern Ring Road, Hanzhong 723001, China; [email protected] 2 School of Marxism Studies, Xi’an Jiaotong University, No.28 Xianning West Road, Xi’an 710049, China * Correspondence: [email protected] † Presented at the IS4SI 2017 Summit DIGITALISATION FOR A SUSTAINABLE SOCIETY, Gothenburg, Sweden, 12–16 June 2017. Published: 8 June 2017 Abstract: The aim of this research essay attempt to reveal the nature of information form the perspective of Marxist Philosophy. The nature of Information is the first question that philosophy of information science and technology research must be answered, thus the problem is still debated. According to Marxist dialectical materialism method to the essence of information has made the analysis and argumentation, points out the essence of information between what is and its internal contact things, and this contact information is presented. Due to the connection between the protean and endless things, thus produce the endless, full of beautiful things in eyes, each are not identical information. To grasp the nature of information, must pay attention to and the specific form of information and information processing, the reorganization, transmission, storage, use and so on. Keywords: information; nature; connection; philosophy of information 1. Introduction The development of information science and technology has spar ked the nature of information exploration after World War II. The question that ‘What is the nature of information?’ is always unable to avoid in information science and philosophical technology research.
    [Show full text]
  • The Tyranny of Method: a Pragmatic Defense of Philosophical Pluralism
    THE TYRANNY OF METHOD: A PRAGMATIC DEFENSE OF PHILOSOPHICAL PLURALISM Vincent M. Colapietro Abstract: The history of philosophy is in no small measure a series of attempts to institute a fail-safe method. In response to what they take to be the scandal of disagreement (disagreement itself being judged as scandalous), a number of historically influential philosophers (e.g., Descartes, Peirce, Husserl, and Carnap) have time and again tried to craft a method for guaranteeing agreement. In light of the failure of these attempts, this tendency might be seen as remotely analogous to what is called in psychoanalytic parlance a “repetition compulsion.” In any event, historical reflections on this repeated tendency promise to be illuminating. But there is a polemical purpose animating these historical reflections. The author tries, in light of these reflections, to render plausible the suggestion that this tendency amounts to a tyranny of method and, in turn, such tyranny results in an inevitable impoverishment of philosophical thought. THE TOPIC of my essay is best brought into focus by recalling a central figure in the history of Western philosophy. 1 This recollection is, however, far from methodologically innocent. My deliberate turn toward a pivotal moment in our intellectual history – in brief, my turn toward history – will provide the basis for my critique of what I am disposed to identify as the tyranny of method. This tyranny is not so much exercised by any particular method as by the repeated impulse to institute a philosophical method of allegedly revolutionary significance. Most often, this impulse is bound up with the hope that philosophy can transform itself into a science (an unquestionable form of certain knowledge) either by adopting the method of science itself (e.g., the efforts of C.
    [Show full text]
  • Amigaos 3.2 FAQ 47.1 (09.04.2021) English
    $VER: AmigaOS 3.2 FAQ 47.1 (09.04.2021) English Please note: This file contains a list of frequently asked questions along with answers, sorted by topics. Before trying to contact support, please read through this FAQ to determine whether or not it answers your question(s). Whilst this FAQ is focused on AmigaOS 3.2, it contains information regarding previous AmigaOS versions. Index of topics covered in this FAQ: 1. Installation 1.1 * What are the minimum hardware requirements for AmigaOS 3.2? 1.2 * Why won't AmigaOS 3.2 boot with 512 KB of RAM? 1.3 * Ok, I get it; 512 KB is not enough anymore, but can I get my way with less than 2 MB of RAM? 1.4 * How can I verify whether I correctly installed AmigaOS 3.2? 1.5 * Do you have any tips that can help me with 3.2 using my current hardware and software combination? 1.6 * The Help subsystem fails, it seems it is not available anymore. What happened? 1.7 * What are GlowIcons? Should I choose to install them? 1.8 * How can I verify the integrity of my AmigaOS 3.2 CD-ROM? 1.9 * My Greek/Russian/Polish/Turkish fonts are not being properly displayed. How can I fix this? 1.10 * When I boot from my AmigaOS 3.2 CD-ROM, I am being welcomed to the "AmigaOS Preinstallation Environment". What does this mean? 1.11 * What is the optimal ADF images/floppy disk ordering for a full AmigaOS 3.2 installation? 1.12 * LoadModule fails for some unknown reason when trying to update my ROM modules.
    [Show full text]
  • Plato's Symposium: the Ethics of Desire
    Plato’s Symposium: The Ethics of Desire FRISBEE C. C. SHEFFIELD 1 Contents Introduction 1 1. Ero¯s and the Good Life 8 2. Socrates’ Speech: The Nature of Ero¯s 40 3. Socrates’ Speech: The Aim of Ero¯s 75 4. Socrates’ Speech: The Activity of Ero¯s 112 5. Socrates’ Speech: Concern for Others? 154 6. ‘Nothing to do with Human AVairs?’: Alcibiades’ Response to Socrates 183 7. Shadow Lovers: The Symposiasts and Socrates 207 Conclusion 225 Appendix : Socratic Psychology or Tripartition in the Symposium? 227 References 240 Index 249 Introduction In the Symposium Plato invites us to imagine the following scene: A pair of lovers are locked in an embrace and Hephaestus stands over them with his mending tools asking: ‘What is it that you human beings really want from each other?’ The lovers are puzzled, and he asks them again: ‘Is this your heart’s desire, for the two of you to become parts of the same whole, and never to separate, day or night? If that is your desire, I’d like to weld you together and join you into something whole, so that the two of you are made into one. Look at your love and see if this is what you desire: wouldn’t this be all that you want?’ No one, apparently, would think that mere sex is the reason each lover takes such deep joy in being with the other. The soul of each lover apparently longs for something else, but cannot say what it is. The beloved holds out the promise of something beyond itself, but that something lovers are unable to name.1 Hephaestus’ question is a pressing one.
    [Show full text]
  • What Is a Philosophical Analysis?
    JEFFREY C. KING WHAT IS A PHILOSOPHICAL ANALYSIS? (Received 24 January 1996) It is common for philosophers to offer philosophical accounts or analyses, as they are sometimes called, of knowledge, autonomy, representation, (moral) goodness, reference, and even modesty.1 These philosophical analyses raise deep questions. What is it that is being analyzed (i.e. what sorts of things are the objects of analysis)? What sort of thing is the analysis itself (a proposition? sentence?)? Under what conditions is an analysis correct? How can a correct analysis be informative? How, if at all, does the production of philo- sophical analyses differ from what scientists do? The purpose of the present paper is to provide answers to these questions. The traditional answers to the ®rst and last of these questions are that concepts are the objects of philosophical analysis and that philo- sophical analyses differ from the results of scienti®c investigation in being conceptual analyses. Like many philosophers I am suspicious of the notions of concept and conceptual analysis as traditionally understood. Though the critique of these notions is beyond the scope of the present work, the answers I shall give to the questions raised above shall not invoke concepts (understood as things distinct from properties).2 I count it as a virtue of my account that it is able to provide answers to the questions raised above without an appeal to concepts. And to the extent that it has been felt that concepts are needed to answer these questions, the present account weakens the case for positing concepts. Before addressing these questions, however, we shall make the simplifying assumption that analyses are given in a ªcanonical formº.
    [Show full text]
  • INTUITION .THE PHILOSOPHY of HENRI BERGSON By
    THE RHYTHM OF PHILOSOPHY: INTUITION ·ANI? PHILOSO~IDC METHOD IN .THE PHILOSOPHY OF HENRI BERGSON By CAROLE TABOR FlSHER Bachelor Of Arts Taylor University Upland, Indiana .. 1983 Submitted ~o the Faculty of the Graduate College of the · Oklahoma State University in partial fulfi11ment of the requirements for . the Degree of . Master of Arts May, 1990 Oklahoma State. Univ. Library THE RHY1HM OF PlllLOSOPHY: INTUITION ' AND PfnLoSOPlllC METHOD IN .THE PHILOSOPHY OF HENRI BERGSON Thesis Approved: vt4;;. e ·~lu .. ·~ests AdVIsor /l4.t--OZ. ·~ ,£__ '', 13~6350' ii · ,. PREFACE The writing of this thesis has bee~ a tiring, enjoyable, :Qustrating and challenging experience. M.,Bergson has introduced me to ·a whole new way of doing . philosophy which has put vitality into the process. I have caught a Bergson bug. His vision of a collaboration of philosophers using his intuitional m~thod to correct, each others' work and patiently compile a body of philosophic know: ledge is inspiring. I hope I have done him justice in my description of that vision. If I have succeeded and that vision catches your imagination I hope you Will make the effort to apply it. Please let me know of your effort, your successes and your failures. With the current challenges to rationalist epistemology, I believe the time has come to give Bergson's method a try. My discovery of Bergson is. the culmination of a development of my thought, one that started long before I began my work at Oklahoma State. However, there are some people there who deserv~. special thanks for awakening me from my ' "''' analytic slumber.
    [Show full text]
  • NSP4 Pragmatist Kant
    Nordic NSP Studies in Pragmatism Helsinki — 2019 Giovanni Maddalena “Anti-Kantianism as a Necessary Characteristic of Pragmatism” In: Krzysztof Piotr Skowronski´ and Sami Pihlstrom¨ (Eds.) (2019). Pragmatist Kant—Pragmatism, Kant, and Kantianism in the Twenty-first Century (pp. 43–59). Nordic Studies in Pragmatism 4. Helsinki: Nordic Pragmatism Network. issn-l 1799-3954 issn 1799-3954 isbn 978-952-67497-3-0 Copyright c 2019 The Authors and the Nordic Pragmatism Network. This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License. CC BY NC For more information, see http://creativecommons.org/licenses/by-nc/3.0/ Nordic Pragmatism Network, NPN Helsinki 2019 www.nordprag.org Anti-Kantianism as a Necessary Characteristic of Pragmatism Giovanni Maddalena Universit`adel Molise 1. Introduction Pragmatists declared their anti-Cartesianism at the first appearance of the movement, in Peirce’s series on cognition written for the Journal of Specu- lative Philosophy (1867–8). As is well known, the brilliant young scientist characterized Cartesian doubt as a “paper doubt”, by opposing it to sci- entists’ true “living doubt” (Peirce 1998 [1868], 115).1 Some readers have not understood the powerful novelty that his opposition to Cartesianism implies. According to Peirce, research does not proceed from skeptical, “paper” doubt. For Peirce, doubt is possible because of a previous cer- tainty, a position which is similar to the one held by Augustine (Augustine 1970). Research moves from one certainty to another; the abandonment of an initial certainty is only reasonable in the presence of a real and surprising phenomenon that alters one of the pillars on which it stands.
    [Show full text]
  • Understanding and Mitigating the Security Risks of Apple Zeroconf
    2016 IEEE Symposium on Security and Privacy Staying Secure and Unprepared: Understanding and Mitigating the Security Risks of Apple ZeroConf Xiaolong Bai*,1, Luyi Xing*,2, Nan Zhang2, XiaoFeng Wang2, Xiaojing Liao3, Tongxin Li4, Shi-Min Hu1 1TNList, Tsinghua University, Beijing, 2Indiana University Bloomington, 3Georgia Institute of Technology, 4Peking University [email protected], {luyixing, nz3, xw7}@indiana.edu, [email protected], [email protected], [email protected] Abstract—With the popularity of today’s usability-oriented tend to build their systems in a “plug-and-play” fashion, designs, dubbed Zero Configuration or ZeroConf, unclear are using techniques dubbed zero-configuration (ZeroConf ). For the security implications of these automatic service discovery, example, the AirDrop service on iPhone, once activated, “plug-and-play” techniques. In this paper, we report the first systematic study on this issue, focusing on the security features automatically detects another Apple device nearby running of the systems related to Apple, the major proponent of the service to transfer documents. Such ZeroConf services ZeroConf techniques. Our research brings to light a disturb- are characterized by automatic IP selection, host name ing lack of security consideration in these systems’ designs: resolving and target service discovery. Prominent examples major ZeroConf frameworks on the Apple platforms, includ- include Apple’s Bonjour [3], and the Link-Local Multicast ing the Core Bluetooth Framework, Multipeer Connectivity and
    [Show full text]
  • Constructivity in Homotopy Type Theory
    Ludwig Maximilian University of Munich Munich Center for Mathematical Philosophy Constructivity in Homotopy Type Theory Author: Supervisors: Maximilian Doré Prof. Dr. Dr. Hannes Leitgeb Prof. Steve Awodey, PhD Munich, August 2019 Thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts in Logic and Philosophy of Science contents Contents 1 Introduction1 1.1 Outline................................ 3 1.2 Open Problems ........................... 4 2 Judgements and Propositions6 2.1 Judgements ............................. 7 2.2 Propositions............................. 9 2.2.1 Dependent types...................... 10 2.2.2 The logical constants in HoTT .............. 11 2.3 Natural Numbers.......................... 13 2.4 Propositional Equality....................... 14 2.5 Equality, Revisited ......................... 17 2.6 Mere Propositions and Propositional Truncation . 18 2.7 Universes and Univalence..................... 19 3 Constructive Logic 22 3.1 Brouwer and the Advent of Intuitionism ............ 22 3.2 Heyting and Kolmogorov, and the Formalization of Intuitionism 23 3.3 The Lambda Calculus and Propositions-as-types . 26 3.4 Bishop’s Constructive Mathematics................ 27 4 Computational Content 29 4.1 BHK in Homotopy Type Theory ................. 30 4.2 Martin-Löf’s Meaning Explanations ............... 31 4.2.1 The meaning of the judgments.............. 32 4.2.2 The theory of expressions................. 34 4.2.3 Canonical forms ...................... 35 4.2.4 The validity of the types.................. 37 4.3 Breaking Canonicity and Propositional Canonicity . 38 4.3.1 Breaking canonicity .................... 39 4.3.2 Propositional canonicity.................. 40 4.4 Proof-theoretic Semantics and the Meaning Explanations . 40 5 Constructive Identity 44 5.1 Identity in Martin-Löf’s Meaning Explanations......... 45 ii contents 5.1.1 Intensional type theory and the meaning explanations 46 5.1.2 Extensional type theory and the meaning explanations 47 5.2 Homotopical Interpretation of Identity ............
    [Show full text]
  • The Proper Explanation of Intuitionistic Logic: on Brouwer's Demonstration
    The proper explanation of intuitionistic logic: on Brouwer’s demonstration of the Bar Theorem Göran Sundholm, Mark van Atten To cite this version: Göran Sundholm, Mark van Atten. The proper explanation of intuitionistic logic: on Brouwer’s demonstration of the Bar Theorem. van Atten, Mark Heinzmann, Gerhard Boldini, Pascal Bourdeau, Michel. One Hundred Years of Intuitionism (1907-2007). The Cerisy Conference, Birkhäuser, pp.60- 77, 2008, 978-3-7643-8652-8. halshs-00791550 HAL Id: halshs-00791550 https://halshs.archives-ouvertes.fr/halshs-00791550 Submitted on 24 Jan 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution - NonCommercial| 4.0 International License The proper explanation of intuitionistic logic: on Brouwer’s demonstration of the Bar Theorem Göran Sundholm Philosophical Institute, Leiden University, P.O. Box 2315, 2300 RA Leiden, The Netherlands. [email protected] Mark van Atten SND (CNRS / Paris IV), 1 rue Victor Cousin, 75005 Paris, France. [email protected] Der … geführte Beweis scheint mir aber trotzdem . Basel: Birkhäuser, 2008, 60–77. wegen der in seinem Gedankengange enthaltenen Aussagen Interesse zu besitzen. (Brouwer 1927B, n. 7)1 Brouwer’s demonstration of his Bar Theorem gives rise to provocative ques- tions regarding the proper explanation of the logical connectives within intu- itionistic and constructivist frameworks, respectively, and, more generally, re- garding the role of logic within intuitionism.
    [Show full text]