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The Logic of the Plausible and Some of Its Applications by Rene Leclerq

The Logic of the Plausible and Some of Its Applications

by Rene Leclerq
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Book cover type: Paperback
  • ISBN13: 9781468407440
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 80
  • Original Price: EUR 49.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 131 grams
  • BISAC Subject(s): General and Philosophy & Social Aspects

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.

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