Description
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.
Author: Melvin Fitting, Richard L. Mendelsohn
Publisher: Springer
Published: 10/19/2023
Pages: 460
Binding Type: Hardcover
Weight: 1.87lbs
Size: 9.21h x 6.14w x 1.06d
ISBN13: 9783031407130
ISBN10: 303140713X
BISAC Categories:
- Philosophy | Logic
- Mathematics | Logic
- Language Arts & Disciplines | Linguistics | General
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.
Author: Melvin Fitting, Richard L. Mendelsohn
Publisher: Springer
Published: 10/19/2023
Pages: 460
Binding Type: Hardcover
Weight: 1.87lbs
Size: 9.21h x 6.14w x 1.06d
ISBN13: 9783031407130
ISBN10: 303140713X
BISAC Categories:
- Philosophy | Logic
- Mathematics | Logic
- Language Arts & Disciplines | Linguistics | General