Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology, and even the history of philosophy. It discusses the import of quantifi

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Alessandro Torza Editor

Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

Synthese Library Studies in Epistemology, Logic, Methodology, and Philosophy of Science Volume 373

Editor-in-Chief Otávio Bueno, University of Miami, Department of Philosophy, USA Editors Dirk van Dalen, University of Utrecht, The Netherlands Theo A.F. Kuipers, University of Groningen, The Netherlands Teddy Seidenfeld, Carnegie Mellon University, Pittsburgh, PA, USA Patrick Suppes, Stanford University, CA, USA Jan Wolenski, Jagiellonian University, Kraków, Poland

More information about this series at http://www.springer.com/series/6607

Alessandro Torza Editor

Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

123

Editor Alessandro Torza Instituto de Investigaciones Filosóficas, UNAM Circuito Mario de la Cueva, Ciudad Universitaria Del. Coyoacán, México D.F., Mexico

Synthese Library ISBN 978-3-319-18361-9 DOI 10.1007/978-3-319-18362-6

ISBN 978-3-319-18362-6 (eBook)

Library of Congress Control Number: 2015945970 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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)

Contents

1

Introduction .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . Alessandro Torza

Part I 2

3

4

Logical Constants

Which Quantifiers Are Logical? A Combined Semantical and Inferential Criterion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . Solomon Feferman

19

Implicit Definitions, Second-Order Quantifiers, and the Robustness of the Logical Operators .. . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . Arnold Koslow

31

Quantifiers Are Logical Constants, but Onl