Overview
- 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)
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Semantics of Natural Language
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The Carnap-Quine Legacy
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Metaphysics and Ontology
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
About the editor
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