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First-Order Modal Logic

by Richard L. Mendelsohn

  • ISBN: 9780792353348
  • ISBN10: 079235334X

First-Order Modal Logic

by Richard L. Mendelsohn

  • List Price: $269.00
  • Binding: Hardcover
  • Publisher: Kluwer Academic Print on Demand
  • Publish date: 12/01/1998
  • ISBN: 9780792353348
  • ISBN10: 079235334X
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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.

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