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First-order modal logic

Record Type:	Electronic resources : Monograph/item
Title/Author:	First-order modal logicby Melvin Fitting, Richard L. Mendelsohn.
Author:	Fitting, Melvin.
other author:	Mendelsohn, Richard L.
Published:	Cham :Springer International Publishing :2023.
Description:	xx, 460 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Modality (Logic)
Online resource:	https://doi.org/10.1007/978-3-031-40714-7
ISBN:	9783031407147$q(electronic bk.)

First-order modal logic
Fitting, Melvin.

First-order modal logic[electronic resource] /by Melvin Fitting, Richard L. Mendelsohn. - Second edition. - Cham :Springer International Publishing :2023. - xx, 460 p. :ill., digital ;24 cm. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science,v. 4802542-8292 ;. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science ;v.375..

Preface -- Acknowledgments -- Part I. Background: Propositional Classical Logic. 1. Background: Propositional Language -- 2. Background: Propositional Axiomatics -- 3. Background: Propositional Tableaus -- Part II. Propositional Modal Logic. 4. Modal Logic, an Introduction -- 5. Propositional Modal Logic -- 6. Propositional Modal Axiom Systems -- 7. Propositional Modal Tableaus -- Part III. First-Order Modal Logic. 8. Quantified Modal Logic -- 9. First-Order Modal Tableaus -- 10. First-Order Modal Axiomatics -- Part IV. Equality and Existence. 11. Equality -- 12. Existence -- Part V. Predicate Abstraction and Scope. 13. Predicate Abstraction, Informally -- 14. Predicate Abstraction, Formally -- 15. Tableaus for Predicate Abstraction -- 16. Tableau Soundness and Completeness. Part VI. Applications. 17. Equality and Predicate Abstraction -- 18. Designation -- 19. Rigidity -- 20. Definite Descriptions -- Afterward.

This revised edition of the highly recommended book "First-Order Modal Logic", originally published in 1998, contains both new and modified chapters reflecting the latest scientific developments. Fitting and Mendelsohn present a thorough treatment of first-order modal logic, together with some propositional background. They adopt throughout a threefold approach. Semantically, they use possible world models; the formal proof machinery is tableaus; and full philosophical discussions are provided of the way that technical developments bear on well-known philosophical problems. The book covers quantification itself, including the difference between actualist and possibilist quantifiers; equality, leading to a treatment of Frege's morning star/evening star puzzle; the notion of existence and the logical problems surrounding it; non-rigid constants and function symbols; predicate abstraction, which abstracts a predicate from a formula, in effect providing a scoping function for constants and function symbols, leading to a clarification of ambiguous readings at the heart of several philosophical problems; the distinction between nonexistence and nondesignation; and definite descriptions, borrowing from both Fregean and Russellian paradigms. Review of the First Edition: "This Text is an excellent and most useful volume. It is pitched correctly: the exercises are just right.. It sets a high standard for anything following. It is to be highly recommended." (Bulletin of Symbolic Logic, 8:3)

ISBN: 9783031407147$q(electronic bk.)

Standard No.: 10.1007/978-3-031-40714-7doiSubjects--Topical Terms:

268215
Modality (Logic)

LC Class. No.: BC199.M6 / F58 2023

Dewey Class. No.: 160

First-order modal logic
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505 0 $a Preface -- Acknowledgments -- Part I. Background: Propositional Classical Logic. 1. Background: Propositional Language -- 2. Background: Propositional Axiomatics -- 3. Background: Propositional Tableaus -- Part II. Propositional Modal Logic. 4. Modal Logic, an Introduction -- 5. Propositional Modal Logic -- 6. Propositional Modal Axiom Systems -- 7. Propositional Modal Tableaus -- Part III. First-Order Modal Logic. 8. Quantified Modal Logic -- 9. First-Order Modal Tableaus -- 10. First-Order Modal Axiomatics -- Part IV. Equality and Existence. 11. Equality -- 12. Existence -- Part V. Predicate Abstraction and Scope. 13. Predicate Abstraction, Informally -- 14. Predicate Abstraction, Formally -- 15. Tableaus for Predicate Abstraction -- 16. Tableau Soundness and Completeness. Part VI. Applications. 17. Equality and Predicate Abstraction -- 18. Designation -- 19. Rigidity -- 20. Definite Descriptions -- Afterward.
520 $a This revised edition of the highly recommended book "First-Order Modal Logic", originally published in 1998, contains both new and modified chapters reflecting the latest scientific developments. Fitting and Mendelsohn present a thorough treatment of first-order modal logic, together with some propositional background. They adopt throughout a threefold approach. Semantically, they use possible world models; the formal proof machinery is tableaus; and full philosophical discussions are provided of the way that technical developments bear on well-known philosophical problems. The book covers quantification itself, including the difference between actualist and possibilist quantifiers; equality, leading to a treatment of Frege's morning star/evening star puzzle; the notion of existence and the logical problems surrounding it; non-rigid constants and function symbols; predicate abstraction, which abstracts a predicate from a formula, in effect providing a scoping function for constants and function symbols, leading to a clarification of ambiguous readings at the heart of several philosophical problems; the distinction between nonexistence and nondesignation; and definite descriptions, borrowing from both Fregean and Russellian paradigms. Review of the First Edition: "This Text is an excellent and most useful volume. It is pitched correctly: the exercises are just right.. It sets a high standard for anything following. It is to be highly recommended." (Bulletin of Symbolic Logic, 8:3)
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