The Logic of the Plausible and Some of its Applications

  • Authors
  • René Leclercq

Table of contents

  1. Front Matter
    Pages i-vii
  2. René Leclercq
    Pages 1-33
  3. René Leclercq
    Pages 35-51
  4. René Leclercq
    Pages 53-72
  5. Back Matter
    Pages 73-80

About this book

Introduction

So simple and imperfect as it may appear this book has made use of knowledge on invention and discovery accumu­ lated during a lifetime. Those persons who would be tempted to emphasize only its imperfections should read the correspondence exchanged between Cantor and Dedekind at the end of the nineteenth century; they would then realize how difficult it was, even for an outstanding man, the creator of the set theory, to propose impeccable results in a completely new field. The field I have chosen here is plausibility. I have proposed an intuitive, some would say a naive, presentation as I want to reach as large an audience as possible and because I personally believe that it is easier to axiomatize a mathematical theory precisely than to dis­ cover it and enunciate its key theorems. Professor Polya said: "The truly creative mathematician is a good guesser first and a good prover afterward. " For centuries a formalized generalized logic was found necessary and many attempts have been made to build it. vi Preface Mine is based on plausibility which covers with precision a wider field than probability and makes the formalization of analogy and generalization possible. As Laplace said: "Even in the mathematical sciences, our principal instru­ ments to discover the truth are induction and analogy. "* The examples of application I have chosen are not des­ cribed in detail.

Keywords

analogy knowledge logic probability truth

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0742-6
  • Copyright Information Springer-Verlag US 1974
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0744-0
  • Online ISBN 978-1-4684-0742-6
  • About this book