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The Semantic Foundations of Logic Volume 1: Propositional Logics

  • Book
  • © 1990

Overview

Authors:
  1. Richard L. Epstein
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Part of the book series: Nijhoff International Philosophy Series (NIPS, volume 35)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxii
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  2. The Basic Assumptions of Propositional Logic

    • Richard L. Epstein
    Pages 1-9

  3. Classical Propositional Logic - PC -

    • Richard L. Epstein
    Pages 11-60

  4. Relatedness Logic: The Subject Matter of a Proposition - S and R -

    • Richard L. Epstein
    Pages 61-84

  5. A General Framework for Semantics for Propositional Logics

    • Richard L. Epstein
    Pages 85-114

  6. Dependence Logics - D, Dual D, Eq, DPC -

    • Richard L. Epstein
    Pages 115-143

  7. Modal Logics - S4, S5, S4Grz, T, B, K, QT, MSI, ML, G, G* -

    • Richard L. Epstein
    Pages 145-194

  8. Intuitionism - Int and J -

    • Richard L. Epstein
    Pages 195-228

  9. Many-Valued Logics - L3, Ln, Lℵ, K3, G3, Gn, Gℵ, S5 -

    • Richard L. Epstein
    Pages 229-261

  10. A Paraconsistent Logic: J3

    • Richard L. Epstein
    Pages 263-287

  11. Translations Between Logics

    • Richard L. Epstein
    Pages 289-314

  12. The Semantic Foundations of Logic

    • Richard L. Epstein
    Pages 315-321

  13. Summary of Logics

    • Richard L. Epstein
    Pages 323-349

  14. Back Matter

    Pages 351-388
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Keywords

About this book

This book grew out of my confusion. If logic is objective how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic which I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the perception that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value. For you to understand my answers, or perhaps better, conjectures, I have retraced my steps: from the concrete to the abstract, from examples, to general theory, to further confirming examples, to reflections on the significance of the work.

Reviews

`Throughout, the treatment is thorough and the writing is clear. Superb bibliography; glossary; extensive index. Highly recommended for every specialist in logic.' Choice, 1991

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