Aspect of Modern Logic

  • Authors
  • Evert W. Beth

Part of the Synthese Library book series (SYLI, volume 32)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Part I

    1. Front Matter
      Pages 1-1
    2. E. W. Beth
      Pages 3-8
    3. E. W. Beth
      Pages 21-29
    4. E. W. Beth
      Pages 30-41
    5. E. W. Beth
      Pages 42-62
  3. Part II

    1. Front Matter
      Pages 75-75
    2. E. W. Beth
      Pages 77-85
    3. E. W. Beth
      Pages 86-101
    4. E. W. Beth
      Pages 102-117
    5. E. W. Beth
      Pages 118-139
    6. E. W. Beth
      Pages 140-164
  4. Back Matter
    Pages 165-178

About this book

Introduction

It is common to consider an area of science as a system of real or sup­ posed truths which not only continuously extends itself, but also needs periodical revision and therefore tests the inventive capacity of each generation of scholars anew. It sounds highly implausible that a science at one time would be completed, that at that point within its scope there would be no problems left to solve. Indeed, the solution of a scientific problem inevitably raises new questions, so that our eagerness for knowledge will never find lasting satisfaction. Nevertheless there is one science which seems to form an exception to this rule, formal logic, the theory of rigorous argumentation. It seems to have reached the ideal endpoint of every scientific aspiration already very shortly after its inception; using the work of some predecessors, Aristotle, or so it is at least assumed by many, has brought this branch of science once and for all to a conclusion. Of course this doesn't sound that implausible. We apparently know what rigorous argumentation is; otherwise various sciences, in particular pure mathematics, would be completely impossible. And if we know what rigorous argumentation is, then it cannot be difficult to trace once and for all the rules which govern it. The unique subject of formal logic would therefore entail that this science, in variance with the rule which holds for all other sciences, has been able to reach completion at a certain point in history.

Keywords

Enzo Paci George Berkeley John Locke formal logic fragment history knowledge logic prehistory reason semantic sound truth truth-value will

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-3332-9
  • Copyright Information Springer Science+Business Media B.V. 1970
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-3334-3
  • Online ISBN 978-94-010-3332-9
  • About this book