{"product_id":"the-logic-of-the-plausible-and-some-of-its-applications-9781468407440","title":"The Logic of the Plausible and Some of Its Applications","description":"\u003cp\u003e • Author(s): Rene Leclerq\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45280263438487,"sku":"9781468407440","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781468407440.webp?v=1769295825","url":"https:\/\/atlanticbooks.com\/products\/the-logic-of-the-plausible-and-some-of-its-applications-9781468407440","provider":"Atlantic Books","version":"1.0","type":"link"}