{"product_id":"9780792359043","title":"Synthese Library: Problems of Completeness and Decidability, Gödel’s Theorems","description":"\u003ch1\u003eSynthese Library\u003c\/h1\u003e\u003ch2\u003eProblems of Completeness and Decidability, Gödel’s Theorems\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eContributors:\u003c\/strong\u003e Murawski, Roman\u003c\/p\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\u003eBook Details\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e 1999-09-30\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Hardcover\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9780792359043\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePages:\u003c\/strong\u003e 395\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":45416679178380,"sku":"9780792359043","price":161.1,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792359043_182cf06d-eaf4-483e-967d-16c3224530b7.jpg?v=1768917636","url":"https:\/\/lateknightbooks.com\/products\/9780792359043","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}