Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language
Editors: Torza, Alessandro (Ed.)
Free Preview- 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
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- About this book
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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.
- About the authors
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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.
- Table of contents (21 chapters)
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Introduction
Pages 1-15
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Which Quantifiers Are Logical? A Combined Semantical and Inferential Criterion
Pages 19-30
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Implicit Definitions, Second-Order Quantifiers, and the Robustness of the Logical Operators
Pages 31-49
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Quantifiers Are Logical Constants, but Only Ambiguously
Pages 51-70
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Conjunctive, Disjunctive, Negative Objects and Generalized Quantification
Pages 73-95
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Table of contents (21 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language
- Editors
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- Alessandro Torza
- Series Title
- Synthese Library
- Series Volume
- 373
- Copyright
- 2015
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-18362-6
- DOI
- 10.1007/978-3-319-18362-6
- Hardcover ISBN
- 978-3-319-18361-9
- Softcover ISBN
- 978-3-319-37345-4
- Edition Number
- 1
- Number of Pages
- VIII, 526
- Number of Illustrations
- 7 b/w illustrations
- Topics
