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Assumptions of Grand Logics

  • Book
  • © 1979

Overview

Authors:
  1. James K. Feibleman

    1. Tulane University, USA

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XI
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  2. Introduction

    1. Front Matter

      Pages XIII-XIII
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    2. Logic as an Approach to Philosophy

      • James K. Feibleman
      Pages 1-15

  3. Assumptions of Classical Logics

    1. Front Matter

      Pages 17-17
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    2. Of Aristotle’s Logic: The Organon

      • James K. Feibleman
      Pages 19-30

    3. Of Frege’s Logic I: The Ideography

      • James K. Feibleman
      Pages 31-48

    4. Of Frege’s Logic II: The Foundations of Arithmetic

      • James K. Feibleman
      Pages 49-57

    5. Frege’s Logic III: The Basic Laws of Arithmetic

      • James K. Feibleman
      Pages 58-64

    6. Of Whitehead’s and Russell’s Principia Mathematica

      • James K. Feibleman
      Pages 65-83

  4. Back Matter

    Pages 84-86
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  5. Assumptions of Modern Logics

    1. Front Matter

      Pages 87-87
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    2. Of Symbolic Logic

      • James K. Feibleman
      Pages 89-118

    3. Of Operational Logic

      • James K. Feibleman
      Pages 119-132

    4. Of Modal Logics

      • James K. Feibleman
      Pages 133-143

    5. Professor Quine and Real Classes

      • James K. Feibleman
      Pages 144-161

    6. Of the Nature of Reference

      • James K. Feibleman
      Pages 162-177

    7. The Discovery Theory in Mathematics

      • James K. Feibleman
      Pages 178-188

  6. Back Matter

    Pages 189-192
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  7. New Supplementary Logics

    1. Front Matter

      Pages 193-193
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    2. Toward a Concrete Logic: Discreta

      • James K. Feibleman
      Pages 195-225
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Keywords

About this book

A system of philosophy of the sort presented in this and the following volumes begins with logic. Philosophy properly speaking is characterized by the kind oflogic it employs, for what it employs it assumes, however silently; and what it assumes it presupposes. The logic stands behind the ontology and is, so to speak, metaphysically prior. One word of caution. The philosophical aspects of logic have lagged behind the mathematical aspects in point of view of interest and develop­ ment. The work of N. Rescher and others have gone a long way to correct this. However, their work on philosophical logic has been more concerned with the logical than with the philosophical aspects. I have in mind another approach, one that would call attention to the ontological (systematic meta­ physics) or metaphysical (critical ontology) aspects, whichever term you prefer. It is this approach which I have pursued in the following chapters. Since together they stand at the head of a system of philosophy which has been developed in some seventeen books, a system which ranges over all of the topics of philosophy, the chosen approach can be seen as the necessary one. But I have not written any logic, I have merely indicated the sort of logic that has to be written.

Authors and Affiliations

  • Tulane University, USA

    James K. Feibleman

Bibliographic Information

  • Book Title: Assumptions of Grand Logics

  • Authors: James K. Feibleman

  • DOI: https://doi.org/10.1007/978-94-009-9278-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Martinus Nijhoff, Publishers bv, The Hague 1979

  • Hardcover ISBN: 978-90-247-2110-8Published: 28 February 1979

  • Softcover ISBN: 978-94-009-9280-1Published: 12 October 2011

  • eBook ISBN: 978-94-009-9278-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIII, 283

  • Topics: Logic

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