{"product_id":"9789048152988","title":"Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems","description":"\u003ch1\u003eRecursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems\u003c\/h1\u003e \u003ch2\u003eMurawski, Roman\u003c\/h2\u003e \u003cp\u003e\u003cem\u003eRecursive Functions and Metamathematics\u003c\/em\u003e deals with  problems of the completeness and decidability of theories, using as  its main tool the theory of recursive functions. This theory is first  introduced and discussed. Then Gödel's incompleteness theorems  are presented, together with generalizations, strengthenings, and the  decidability theory. The book also considers the historical and  philosophical context of these issues and their philosophical and  methodological consequences. Recent results and trends have been  included, such as undecidable sentences of mathematical content,  reverse mathematics. All the main results are presented in detail. The  book is self-contained and presupposes only some knowledge of  elementary mathematical logic. There is an extensive bibliography.  \u003cbr\u003e  \u003cem\u003eReadership:\u003c\/em\u003e Scholars and advanced students of logic,  mathematics, philosophy of science.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-12-06\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789048152988\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-017-2866-9\u003c\/p\u003e \u003cp\u003eDimensions: 235.0cm x155.0cm\u003c\/p\u003e \u003cp\u003ePages: 395.0\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":44358931120268,"sku":"9789048152988","price":161.1,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789048152988_7ee90d41-56da-4a9e-a6fa-c859ee8e6ff2.jpg?v=1766024581","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789048152988","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}