First-Order Modal Logic

  • Melvin Fitting
  • Richard L. Mendelsohn

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

  • Melvin Fitting
    • 1
  • Richard L. Mendelsohn
    • 1
  1. 1.Lehman College and the Graduate CenterCUNYNew YorkUSA

Bibliographic information

  • 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
  • Print ISBN 978-0-7923-5335-5
  • Online ISBN 978-94-011-5292-1
  • About this book