{"product_id":"9781468407440","title":"The Logic of the Plausible and Some of its Applications","description":"\u003ch1\u003eThe Logic of the Plausible and Some of its Applications\u003c\/h1\u003e \u003ch2\u003eLeclerq, Rene\u003c\/h2\u003e \u003cp\u003eSo 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-03-19\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781468407440\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4684-0742-6\u003c\/p\u003e \u003cp\u003eDimensions: 210cm x148cm\u003c\/p\u003e \u003cp\u003ePages: 80\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":44478949458060,"sku":"9781468407440","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781468407440.jpg?v=1776527231","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781468407440","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}