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Quantifiers, Quantifiers, and Quantifiers

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Quantifiers, Quantifiers, and Quantifiers Synopsis

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 This Edition

ISBN: 9783319183619
Publication date:
Author: Alessandro Torza
Publisher: Springer an imprint of Springer International Publishing
Format: Hardback
Pagination: 526 pages
Series: Synthese Library
Genres: Philosophy: epistemology and theory of knowledge
Mathematical logic
Semiotics / semiology
Mathematical foundations