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 ISBN 978-3-319-18362-6 (ebook) DOI 10.1007/978-3-319-18362-6 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... 1 Alessandro Torza Part I Logical Constants 2 Which Quantifiers Are Logical? A Combined Semantical and Inferential Criterion... 19 Solomon Feferman 3 Implicit Definitions, Second-Order Quantifiers, and the Robustness of the Logical Operators... 31 Arnold Koslow 4 Quantifiers Are Logical Constants, but Only Ambiguously... 51 Sun-Joo Shin Part II Semantics of Natural Language 5 Conjunctive, Disjunctive, Negative Objects and Generalized Quantification... 73 Ken Akiba 6 Quantifiers and Referential Use... 97 Mario Gómez-Torrente 7 Quantification and Logical Form... 125 Andrea Iacona 8 Quantification with Intentional and with Intensional Verbs... 141 Friederike Moltmann Part III The Carnap-Quine Legacy 9 Life on the Range: Quine s Thesis and Semantic Indeterminacy... 171 G. Aldo Antonelli v
vi Contents 10 Chalmers, Quantifier Variance and Mathematicians Freedom... 191 Sharon Berry 11 There Is an Is in There Is : Meinongian Quantification and Existence... 221 Francesco Berto 12 Qualifying Quantifying-in... 241 Bjørn Jespersen 13 Carnap, Quine, Quantification and Ontology... 271 Gregory Lavers 14 Quantifier Variance, Intensionality, and Metaphysical Merit... 301 David Liebesman Part IV Metaphysics and Ontology 15 Making Quantified Truths True... 323 Axel Arturo Barceló Aspeitia 16 Absolute Generality and Semantic Pessimism... 339 J.P. Studd 17 Necessarily Maybe: Quantifiers, Modality and Vagueness... 367 Alessandro Torza 18 What s in a (Mental) Picture... 389 Alberto Voltolini Part V Logical Systems 19 Cross-World Identity, Temporal Quantifiers and the Question of Tensed Contents... 409 Tero Tulenheimo 20 What s So Bad About Second-Order Logic?... 463 Jason Turner 21 8 and!... 489 Elia Zardini
Contributors Ken Akiba Department of Philosophy, Virginia Commonwealth University, Richmond, VA, USA G. Aldo Antonelli Philosophy Department, UC Davis, Davis, CA, USA Axel Arturo Barceló Aspeitia Instituto de Investigaciones Filosóficas, UNAM, Circuito Mario de la Cueva, Ciudad Universitaria, Del. Coyoacán, México D.F., Mexico Sharon Berry School of Philosophy, Australian National University, Canberra, ACT, Australia Francesco Berto Department of Philosophy and Institute for Logic, Language and Computation (ILLC), University of Amsterdam, GC Amsterdam, The Netherlands Solomon Feferman Department of Mathematics, Stanford University, Stanford CA, USA Mario Gómez-Torrente Instituto de Investigaciones Filosóficas, Universidad Nacional Autónoma de México, México D.F., Mexico Andrea Iacona Centro di Logica, Linguaggio e Cognizione, Dipartimento di Filosofia e Scienze dell Educazione, Università di Torino, Torino, Italy Bjørn Jespersen LOGOS, Departament de lògica, història i filosofia de la ciència, Universitat de Barcelona, Barcelona, Spain Arnold Koslow Philosophy Program, The Graduate Center, CUNY, New York, NY, USA Gregory Lavers Department of Philosophy, Concordia University, Montreal, QC, Canada David Liebesman Department of Philosophy, The University of Calgary, Calgary, AB, Canada vii
viii Contributors Friederike Moltmann Institut d Histoire et de Philosophie de Sciences et Techniques (IHPST), Université Paris 1, Paris, France Sun-Joo Shin Department of Philosophy, Yale University, New Haven, CT, USA J.P. Studd Lady Margaret Hall, University of Oxford, Norham Gardens, Oxford, UK Alessandro Torza Instituto de Investigaciones Filosóficas, UNAM, Circuito Mario de la Cueva, Ciudad Universitaria, Del. Coyoacán, México D.F., Mexico Tero Tulenheimo STL-CNRS and Department of Philosophy, University of Lille 3, Domaine Universitaire du Pont de Bois, Villeneuve d Ascq, France Jason Turner Department of Philosophy, Saint Louis University, St. Louis, MO, USA Alberto Voltolini Dipartimento di Filosofia e Scienze dell Educazione, Universitá degli Studi di Torino, Torino, Italy Elia Zardini FCT Research Fellow, LanCog, Language, Mind and Cognition Research Group, Centro de filosofia, Universidade de Lisboa, Lisboa, Portugal