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Early Analytic Philosophy – New Perspectives on the Tradition the WESTERN ONTARIO SERIES in PHILOSOPHY of SCIENCE Early Analytic Philosophy – New Perspectives on the Tradition THE WESTERN ONTARIO SERIES IN PHILOSOPHY OF SCIENCE A SERIES OF BOOKS IN PHILOSOPHY OF MATHEMATICS AND NATURAL SCIENCE, HISTORY OF SCIENCE, HISTORY OF PHILOSOPHY OF SCIENCE, EPISTEMOLOGY, PHILOSOPHY OF COGNITIVE SCIENCE, GAME AND DECISION THEORY Managing Editor WILLIAM DEMOPOULOS Department of Philosophy, University of Western Ontario, Canada Assistant Editors DAVID DEVIDI Philosophy of Mathematics, University of Waterloo ROBERT DISALLE Philosophy of Physics and History and Philosophy of Science, University of Western Ontario WAYNE MYRVOLD Foundations of Physics, University of Western Ontario Editorial Board JOHN L. BELL, University of Western Ontario YEMINA BEN-MENAHEM, Hebrew University of Jerusalem JEFFREY BUB, University of Maryland PETER CLARK, St. Andrews University JACK COPELAND, University of Canterbury, New Zealand JANET FOLINA, Macalester College MICHAEL FRIEDMAN, Stanford University CHRISTOPHER A. FUCHS, Raytheon BBN Technologies, Cambridge, MA, USA MICHAEL HALLETT, McGill University WILLIAM HARPER, University of Western Ontario CLIFFORD A. HOOKER, University of Newcastle, Australia AUSONIO MARRAS, University of Western Ontario JÜRGEN MITTELSTRASS, Universität Konstanz STATHIS PSILLOS, University of Athens and University of Western Ontario THOMAS UEBEL, University of Manchester VOLUME 80 More information about this series at http://www.springer.com/series/6686 Sorin Costreie Editor Early Analytic Philosophy – New Perspectives on the Tradition 123 Editor Sorin Costreie Faculty of Philosophy, Department of Theoretical Philosophy University of Bucharest Bucharest Romania ISSN 1566-659X ISSN 2215-1974 (electronic) The Western Ontario Series in Philosophy of Science ISBN 978-3-319-24212-5 ISBN 978-3-319-24214-9 (eBook) DOI 10.1007/978-3-319-24214-9 Library of Congress Control Number: 2015950011 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com) In memory of Jaakko Hintikka Preface and Acknowledgments This collection originates from a series of three conferences under the auspices of the Bucharest Colloquium in Analytic Philosophy. The first took place in 2010, and it was called The Actuality of the Early Analytic Philosophy. It was followed in 2011 by Frege’s Philosophy of Mathematics and Language and in 2012 by Philosophy of Mathematics Today. Most of the papers in the volume were presented, in an earlier version, at one of these conferences; the remaining essays were specially commissioned. In putting together the present volume, I have kept the focus on the original idea of the first conference, namely the contemporary relevance of early analytic philosophy. Although the papers of this collection are mainly dedicated to a specialized public, familiar with the issues and methods of analytic philosophy, the volume is designed so that it can also serve as a useful companion for various introductory courses covering the origin and the evolution of the analytic tradition. All Bucharest Colloquiums took place at the University of Bucharest and were supported, at the institutional level, by the university’s Department of Theoretical Philosophy and its Center for Logic, History and Philosophy of Science, and by the Romanian Society for Analytic Philosophy. I am indebted to the Faculty of Philosophy of the University of Bucharest for making it possible for me to co-organize this series of colloquiums. At a more personal level, I am grateful to all of the Bucharest Colloquium’s participants, to my co-organizers—Mircea Dumitru and Gabriel Sandu—and to the many students who helped ensure that the con- ferences ran smoothly. I would like to thank first and foremost the authors for their willingness to contribute to this collection and for their understanding and forbearance in seeing this project through. Matthias Schirn deserves special thanks, for in addition to his essay, he contributed valuable ideas to the project and attracted several valuable contributors. I also thank Lucy Fleet, my editor at Springer, and William Demopoulos, the managing editor of The Western Ontario Series in Philosophy of Science, for their constant assistance and support. I am grateful to Bill for all the philosophical guidance he gave to me during my graduate years at The vii viii Preface and Acknowledgments University of Western Ontario. My interest in analytic philosophy began during my undergraduate studies at the University of Bucharest with the Frege course of Sorin Vieru; it was consolidated by Adrian Miroiu’s course on philosophical logic; and it was established as a constant direction in my academic life by Bill’s graduate courses on Frege, Russell, Carnap and Co. The appearance of this volume in a series edited by Bill was a happy coincidence, for Lucy’s suggestion that it be placed in the Series was given without prior knowledge of my acquaintance with its managing editor: The present has its roots deep in the past… Bucharest Sorin Costreie July 2015 Contents Part I Frege Frege on Mathematical Progress ............................. 3 Patricia Blanchette Identity in Frege’s Shadow ................................. 21 Jaakko Hintikka Frege and the Aristotelian Model of Science..................... 31 Danielle Macbeth On the Nature, Status, and Proof of Hume’s Principle in Frege’s Logicist Project.......................................... 49 Matthias Schirn Part II Russell A Study in Deflated Acquaintance Knowledge: Sense-Datum Theory and Perceptual Constancy ............................ 99 Derek H. Brown Whitehead Versus Russell .................................. 127 Gregory Landini The Place of Vagueness in Russell’s Philosophical Development ...... 161 James Levine Propositional Logic from The Principles of Mathematics to Principia Mathematica ................................... 213 Bernard Linsky ix x Contents Part III Wittgenstein Later Wittgenstein on the Logicist Definition of Number............ 233 Sorin Bangu Wittgenstein’s Color Exclusion and Johnson’s Determinable ......... 257 Sébastien Gandon The Concept of “Essential” General Validity in Wittgenstein’s Tractatus............................................... 283 Brice Halimi Reconstructing a Logic from Tractatus: Wittgenstein’s Variables and Formulae ........................................... 301 David Fisher and Charles McCarty Justifying Knowledge Claims After the Private Language Argument .............................................. 325 Gheorghe Ştefanov Part IV Carnap Carnap, Logicism, and Ontological Commitment ................. 337 Otávio Bueno Frege the Carnapian and Carnap the Fregean ................... 353 Gregory Lavers On the Interconnections Between Carnap, Kuhn, and Structuralist Philosophy of Science ........................ 375 Thomas Meier Part V Various Echoes Abstraction and Epistemic Economy .......................... 387 Marco Panza Torn by Reason: Łukasiewicz on the Principle of Contradiction ...... 429 Graham Priest Why Did Weyl Think that Dedekind’s Norm of Belief in Mathematics is Perverse? ................................ 445 Iulian D. Toader Index ................................................. 453 Contributors Sorin Bangu University of Bergen, Bergen, Norway Patricia Blanchette University of Notre Dame, Notre Dame, USA Derek H. Brown Brandon University, Brandon, Canada Otávio Bueno University of Miami, Coral Gables, USA David Fisher Indiana University, Bloomington, USA Sébastien Gandon Blaise Pascal University, Clermont-Ferrand, France Brice Halimi Université Paris Ouest Nanterre La Défense (IREPH) & SPHERE, Paris, France Jaakko Hintikka Boston University, Boston, USA Gregory Landini University of Iowa, Iowa City, USA Gregory Lavers Concordia University, Montreal, Canada James Levine Trinity College Dublin, Dublin, Ireland Bernard Linsky Department of Philosophy, University of Alberta, Edmonton, Canada Danielle Macbeth Haverford College, Haverford, USA Charles McCarty Indiana University, Bloomington, USA Thomas Meier Ludwig Maximilians University Munich, Munich, Germany Marco Panza CNRS, IHPST, University of Paris 1, Panthéon-Sorbonne, Paris, France Graham Priest University of Melbourne, Melbourne, Australia; CUNY Graduate Center, New York, USA xi xii Contributors Matthias Schirn Ludwig Maximilians University Munich,
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