{"product_id":"limits-of-mathematics-a-journey-through-the-key-areas-of-mathematical-logic-paperback","title":"Limits of Mathematics: A Journey Through the Key Areas of Mathematical Logic - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDirk W. Hoffmann\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eIs mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number?\u003c\/p\u003e Modern mathematical logic of the twentieth century provides astonishing answers to these questions. This book takes you on a journey through the core areas of mathematical logic, leading to the limits of mathematics. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, Gödel's incompleteness theorems, computability theory, algorithmic information theory, and model theory. \u003cp\u003eThe book contains numerous two-color illustrations and more than 70 exercises (with solutions available on the author's website). This translation is based on the third edition of the original German book.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIs mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number? Modern mathematical logic of the twentieth century provides astonishing answers to these questions.\u003c\/p\u003e \u003cp\u003eThis book takes you on a journey through the core areas of mathematical logic, leading to the limits of mathematics. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, G?del's incompleteness theorems, computability theory, algorithmic information theory, and model theory.\u003c\/p\u003e \u003cp\u003eThe book contains numerous two-color illustrations and more than 70 exercises (with solutions available on the author's website). This translation is based on the third edition of the original German book.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eAbout the author\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003eProf. Dr. Dirk W. Hoffmann is a professor at the Department of Computer Science and Business Information Systems at Karlsruhe University of Applied Sciences in Germany. He has also authored the book G?del's Incompleteness Theorems - A Guided Tour Through Kurt G?del's Historic Proof.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eProf. Dr. Dirk W. Hoffmann is a professor at the Department of Computer Science and Business Information Systems at Karlsruhe University of Applied Sciences in Germany. He has also authored the book \u003cem\u003eGödel's Incompleteness Theorems - A Guided Tour Through Kurt Gödel's Historic Proof\u003c\/em\u003e.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 422\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.92 x 11.55 x 4.21 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 02, 2025\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":48381908418809,"sku":"9783662709986","price":89.08,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/x-hGqFoxfR9783662709986.webp?v=1778367438","url":"https:\/\/bookscloud.io\/products\/limits-of-mathematics-a-journey-through-the-key-areas-of-mathematical-logic-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}