9781468407440 - The Logic of the Plausible and Some of its Applications von Leclerq, Rene (4 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

Taschenbuch. Zustand: Neu. The Logic of the Plausible and Some of its Applications | Rene Leclerq | Taschenbuch | viii | Englisch | 2012 | Springer | EAN 9781468407440 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.