Operators vs Quantifiers

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Max Kölbel (University of Vienna, Austria) David Rey (Universidad del Valle, Colombia)

Operators vs Quantifiers

Max Kölbel (University of Vienna, Austria), David Rey (Universidad del Valle, Colombia)

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English

Routledge
06 May 2025

Philosophy of language; Semantics; Philosophy: logic; Philosophy of mathematics; Computer architecture & logic design

In this volume, seven experts in logic and semantics examine reasons for using the intensional operator approach over the variable binding approach and vice versa.

In logic and semantics there are two alternative tools that can be applied to many types of embedding phrases (modal, temporal, etc): the intensional operator approach and the variable binding approach. A rivalry between operators and quantifiers occurs in many areas of semantics: e.g. tense, modality, locational operators, epistemic modality. There are areas where the operator approach dominates, and areas where quantifiers prevail. Sometimes, as in the case of tense, roles have switched, and where one approach used to dominate, the other has taken over. This volume features contributions from leading experts in the field that examine the following questions:

what exactly is at stake in a choice between the alternatives? are there any principled reasons for deciding which approach to use in which case? should we be purists and eliminate one approach completely in favour of the other?

Operators vs Quantifiers will be a key resource for academics, researchers, and advanced students of philosophy, linguistics, computer science and mathematics. This book was originally published as a special issue of Inquiry.

Edited by: Max Kölbel (University of Vienna Austria), David Rey (Universidad del Valle, Colombia)
Imprint: Routledge
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 330g
ISBN: 9781032580968
ISBN 10: 1032580968
Pages: 170
Publication Date: 06 May 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Introduction 1. Are quantifiers intensional operators? 2. Binding bound variables in epistemic contexts 3. Operators vs. quantifiers: the view from linguistics 4. Confessions of a schmentencite: towards an explicit semantics 5. Positing covert variables and the quantifier theory of tense 6. Looking backwards in type logic

Max Kölbel is Professor of Philosophy at the University of Vienna, Austria. David Rey is Assistant Professor at the Department of Philosophy of Universidad del Valle, Colombia.