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First-Order Modal Logic

First-Order Modal Logic

Hardcover

Series: Synthese Library, Book 480

FictionLinguisticsLogic

ISBN10: 303140713X
ISBN13: 9783031407130
Publisher: Springer
Published: Oct 19 2023
Pages: 460
Weight: 1.87
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English
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.

Also from

Fitting, Melvin

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Logic