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About this product
- DescriptionSo simple and imperfect as it may appear this book has made use of kwledge 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 t des cribed in detail.
- Author(s)Rene Leclerq
- Date of Publication19/03/2012
- FormatPaperback / softback
- Country of PublicationUnited States
- Content Noteblack & white illustrations, bibliography
- Weight118 g
- Width148 mm
- Height210 mm
- Spine5 mm
- Format DetailsTrade paperback (US),Unsewn / adhesive bound
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