© 2015

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

  • Alessandro Torza

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Alessandro Torza
    Pages 1-15
  3. Logical Constants

  4. Semantics of Natural Language

    1. Front Matter
      Pages 71-71
    2. Mario Gómez-Torrente
      Pages 97-124
    3. Andrea Iacona
      Pages 125-140
  5. The Carnap-Quine Legacy

  6. Metaphysics and Ontology

    1. Front Matter
      Pages 321-321
    2. Axel Arturo Barceló Aspeitia
      Pages 323-338

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. ​


Logic of Non-Standard Quantification Logical Systems Logical constants Metaphysics and ontology Pronominal quantifiers Semantics of natural language The Carnap-Quine legacy absolute generality formalized quantifiers modality plural quantification

Editors and affiliations

  • Alessandro Torza
    • 1
  1. 1.UNAM Circuito Mario de la Cueva, Ciudad UniversitariaInstituto de Investigaciones Filosóficas Ciudad UniversitariaDel. CoyoacánMexico

About the editors

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