First-Order Modal Logic (Synthese Library) （2ND）

Fitting, Melvin/ Mendelsohn, Richard L.

Springer International Publishing AG（2024/10発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 460 p.
商品コード 9783031407161

Full Description

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 andfunction 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)

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.