Johan van Benthem on Logic and Information Dynamics

This book illustrates the program of Logical-Informational Dynamics. Rational agents exploit the information available in the world in delicate ways, adopt a wide range of epistemic attitudes, and in that process, constantly change the world itself. Logic

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Alexandru Baltag Sonja Smets Editors

Johan van Benthem on Logic and Information Dynamics

Outstanding Contributions to Logic Volume 5

Editor-in-Chief Sven Ove Hansson, Royal Institute of Technology, Stockholm, Sweden Editorial Board Marcus Kracht, Universität Bielefeld Lawrence Moss, Indiana University Sonja Smets, Universiteit van Amsterdam Heinrich Wansing, Ruhr-Universität Bochum

For further volumes: http://www.springer.com/series/10033

Alexandru Baltag Sonja Smets •

Editors

Johan van Benthem on Logic and Information Dynamics

123

Editors Alexandru Baltag Sonja Smets Institute for Logic, Language and Computation University of Amsterdam Amsterdam The Netherlands

ISSN 2211-2758 ISSN 2211-2766 (electronic) ISBN 978-3-319-06024-8 ISBN 978-3-319-06025-5 (eBook) DOI 10.1007/978-3-319-06025-5 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014946756 Ó Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

Preface by Johan van Benthem . . . . . . . . . . . . . . . . . . . . . . . . . . . .

ix

On the Trails of Logical Dynamics: a bird’s-eye view of this volume, by Alexandru Baltag and Sonja Smets . . . . . . . . . . .

xv

Part I

Mathematical and Computational Per