Signs of logic Peircean themes on the philosophy of language, games,
Charles Sanders Peirce (1839-1914), the principal subject of this book, was one of the most profound and prolific thinkers and scientists to have come out of the United States. His pragmatic logic and scientific methodology largely represent the applicati
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SYNTHESE LIBRARY STUDIES IN EPISTEMOLOGY, LOGIC, METHODOLOGY, AND PHILOSOPHY OF SCIENCE
Editors-in-Chief:
VINCENT F. HENDRICKS, Roskilde University, Roskilde, Denmark JOHN SYMONS, University of Texas at El Paso, U.S.A.
Honorary Editor: JAAKKO HINTIKKA, Boston University, U.S.A.
Editors: DIRK VAN DALEN, University of Utrecht, The Netherlands THEO A.F. KUIPERS, University of Groningen, The Netherlands TEDDY SEIDENFELD, Carnegie Mellon University, U.S.A. PATRICK SUPPES, Stanford University, California, U.S.A. JAN WOLEN´SKI, Jagiellonian University, Kraków, Poland
VOLUME 329
SIGNS OF LOGIC PEIRCEAN THEMES ON THE PHILOSOPHY OF LANGUAGE, GAMES, AND COMMUNICATION by
AHTI-VEIKKO PIETARINEN University of Helsinki, Finland
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 ISBN-13 ISBN-10 ISBN-13
1-4020-3728-7 (HB) 978-1-4020-3728-3 (HB) 1-4020-3729-5 (e-book) 978-1-4020-3729-0 (e-book)
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com
Printed on acid-free paper
All Rights Reserved © 2006 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands.
Contents
Preface
ix
Bibliographical abbreviations Part I
xiii
Peirce
1. AN INTRODUCTION TO PEIRCE’S LOGIC AND SEMEIOTICS 1. Kant’s influence and the logical roots of pragmatism 2. On this uninteresting planet: a biographical sketch 3. Signs, logic and semeiotics
3 3 11 14
2. FROM PRAGMATI SM TO THE PRAGMATICS OF COMMUNICATION 1. Peirce, communication and formal pragmatics 2. Common ground and natural language 3. Conclusions Appendix: The early dawn of neuroscience
49 49 57 68 71
3. PEIRCE’S GAME-THEORETIC IDEAS IN LOGIC 1. Introduction 2. The emergence of the notion of strategy 3. The economics of research and evolutionary metaphysics 4. Graphs, semeiotics and language 5. Conclusions
77 77 81 88 92 99
4. MOVING PICTURES OF THOUGHT I 1. Introduction 2. Existential graphs in a historical context
v
103 103 108
vi
CONTENTS
3.
The magic lantern lit up
111
4.
Existential graphs on the move
128
5. MOVING PICTURES OF THOUGHT II 1. Information flow in existential graphs 2. Extending existential graphs 3. The game interpretation fine-tuned 4. Topology, graphs and games 5. On diagrammatic representations 6. Conclusions Appendix: Some diagrammatic representations
143 143 147 153 159 166 172 179
6. EXISTENCE, CONSTRUCTIVISM, MODELS, MODALITIES 1. Introduction 2. The emergence of existence in quantificational logic 3. The rise of constructivism 4. Two and three in tension? 5. The endoporeutic method 6. Modality and quantification 7. Conclusions Appendix: The entry on Modality in MS 1147
181 181
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