The Logic of the Plausible and Some of its Applications

Rene Leclerq

ISBN 10: 1468407449 / ISBN 13: 9781468407440

Published by Springer US, 2012

About this Item

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.

Seller Inventory # 9781468407440

Bibliographic Details

• Title: The Logic of the Plausible and Some of its Applications
• Publisher: Springer US
• Publication Date: 2012
• Language: English
• ISBN 10: 1468407449
• ISBN 13: 9781468407440
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 210W x 148H x 6D millimeters 210 millimeters width by 148 millimeters height by 6 millimeters depth
• Weight: 132 grams

About this title

Synopsis

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.