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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Logic of the Plausible and Some of Its Applications

The Logic of the Plausible and Some of Its Applications

Leclerq, Rene

Paperback

General GardeningHistory & Philosophy of Science

ISBN10: 1468407449
ISBN13: 9781468407440
Publisher: Springer Nature
Published: Mar 19 2012
Pages: 80
Weight: 0.26
Height: 0.19 Width: 5.83 Depth: 8.27
Language: English
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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