First-Order Modal Logic (eBook)

Melvin Fitting, Richard L. Mendelsohn (Autoren)

eBook Download: PDF

2023 | 2., Second Edition 2023
460 Seiten
Springer International Publishing (Verlag)
978-3-031-40714-7 (ISBN)

Infos

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)

Produkt-Details

• Erscheint lt. Verlag: 18.10.2023
• Reihe/Serie: Synthese Library
• Reihe/Serie: Synthese Library
• Zusatzinfo: XX, 460 p. 1 illus.
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
• Themenwelt: Geisteswissenschaften ► Philosophie ► Logik
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: intensional logic • Modal Logic • Philosophical Logic • Quantification • scope and definite descriptions • tableaus, tree proofs
• ISBN-10: 3-031-40714-8 / 3031407148
• ISBN-13: 978-3-031-40714-7 / 9783031407147