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First-Order Modal Logic
Hardcover
Series: Synthese Library, Book 277
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ISBN10: 079235334X
ISBN13: 9780792353348
Publisher: Springer
Published: Oct 31 1998
Pages: 292
Weight: 1.34
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9780792353348
Publisher: Springer
Published: Oct 31 1998
Pages: 292
Weight: 1.34
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
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.
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