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© 1998

First-Order Modal Logic

Book

Part of the Synthese Library book series (SYLI, volume 277)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Melvin Fitting, Richard L. Mendelsohn
    Pages 1-45
  3. Melvin Fitting, Richard L. Mendelsohn
    Pages 46-66
  4. Melvin Fitting, Richard L. Mendelsohn
    Pages 67-80
  5. Melvin Fitting, Richard L. Mendelsohn
    Pages 81-115
  6. Melvin Fitting, Richard L. Mendelsohn
    Pages 116-131
  7. Melvin Fitting, Richard L. Mendelsohn
    Pages 132-139
  8. Melvin Fitting, Richard L. Mendelsohn
    Pages 140-162
  9. Melvin Fitting, Richard L. Mendelsohn
    Pages 163-186
  10. Melvin Fitting, Richard L. Mendelsohn
    Pages 187-203
  11. Melvin Fitting, Richard L. Mendelsohn
    Pages 204-229
  12. Melvin Fitting, Richard L. Mendelsohn
    Pages 230-247
  13. Melvin Fitting, Richard L. Mendelsohn
    Pages 248-275
  14. Back Matter
    Pages 277-292

About this book

Introduction

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.

Keywords

Aristotle Parmenides design fiction flat interpret logic media modal logic model proof proposition quantifiers semantic symmetry

Authors and affiliations

  1. 1.Lehman College and the Graduate CenterCUNYNew YorkUSA

Bibliographic information

  • Book Title First-Order Modal Logic
  • Authors M. Fitting
    Richard L. Mendelsohn
  • Series Title Synthese Library
  • DOI https://doi.org/10.1007/978-94-011-5292-1
  • Copyright Information Kluwer Academic Publishers 1998
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-7923-5334-8
  • Softcover ISBN 978-0-7923-5335-5
  • eBook ISBN 978-94-011-5292-1
  • Edition Number 1
  • Number of Pages XII, 292
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Logic
    Mathematical Logic and Foundations
    Computational Linguistics
  • Buy this book on publisher's site

Reviews

"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)