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

  • Book
  • © 2015

Overview

Editors:
  1. Alessandro Torza

    1. Instituto de Investigaciones Filosóficas, UNAM, Circuito Mario de la Cueva, Ciudad Universitaria, México D.F., Mexico

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  • First book to be entirely devoted to the philosophy of quantifiers
  • Discusses the import of quantification across multiple areas of logic and philosophy
  • Featuring original essays by junior and senior scholars

Part of the book series: Synthese Library (SYLI, volume 373)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • Alessandro Torza
    Pages 1-15

  4. Semantics of Natural Language

    1. Front Matter

      Pages 71-71
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    2. Conjunctive, Disjunctive, Negative Objects and Generalized Quantification

      • Ken Akiba
      Pages 73-95

    3. Quantifiers and Referential Use

      • Mario Gómez-Torrente
      Pages 97-124

    4. Quantification and Logical Form

      • Andrea Iacona
      Pages 125-140

    5. Quantification with Intentional and with Intensional Verbs

      • Friederike Moltmann
      Pages 141-168

  5. The Carnap-Quine Legacy

    1. Front Matter

      Pages 169-169
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    2. Life on the Range: Quine’s Thesis and Semantic Indeterminacy

      • G. Aldo Antonelli
      Pages 171-189

    3. Chalmers, Quantifier Variance and Mathematicians’ Freedom

      • Sharon Berry
      Pages 191-219

    4. “There Is an ‘Is’ in ‘There Is”’: Meinongian Quantification and Existence

      • Francesco Berto
      Pages 221-240

    5. Qualifying Quantifying-in

      • Bjørn Jespersen
      Pages 241-269

    6. Carnap, Quine, Quantification and Ontology

      • Gregory Lavers
      Pages 271-299

    7. Quantifier Variance, Intensionality, and Metaphysical Merit

      • David Liebesman
      Pages 301-319

  6. Metaphysics and Ontology

    1. Front Matter

      Pages 321-321
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    2. Making Quantified Truths True

      • Axel Arturo Barceló Aspeitia
      Pages 323-338
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Keywords

About this book

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 quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap.

The volume further examines what it means that a quantifier can have multiple meanings and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts.

Editors and Affiliations

  • Instituto de Investigaciones Filosóficas, UNAM, Circuito Mario de la Cueva, Ciudad Universitaria, México D.F., Mexico

    Alessandro Torza

About the editor

Alessandro Torza received his Ph.D. in philosophy from Boston University. He is currently an Associate Research Fellow at the National Autonomous University of Mexico (UNAM). He works in metaphysics and neighboring areas, especially the philosophy of logic and language.

Bibliographic Information

  • Book Title: Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

  • Editors: Alessandro Torza

  • Series Title: Synthese Library

  • DOI: https://doi.org/10.1007/978-3-319-18362-6

  • Publisher: Springer Cham

  • eBook Packages: Humanities, Social Sciences and Law, Philosophy and Religion (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-18361-9Published: 04 August 2015

  • Softcover ISBN: 978-3-319-37345-4Published: 17 October 2016

  • eBook ISBN: 978-3-319-18362-6Published: 23 July 2015

  • Series ISSN: 0166-6991

  • Series E-ISSN: 2542-8292

  • Edition Number: 1

  • Number of Pages: VIII, 526

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Epistemology, Mathematical Logic and Foundations, Semantics

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