{"product_id":"goedels-way-gregory-chaitin-9780415690850","title":"Goedel's Way: Exploits into an undecidable world","description":"\u003cp\u003eKurt Gel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein's general relativity, as he proved that Einstein's theory allows for time machines. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe Gel incompleteness theorem - \u003cem\u003ethe usual formal mathematical systems\u003c\/em\u003e \u003cem\u003ecannot prove nor disprove all true mathematical sentences \u003c\/em\u003e- is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do with the real world. Practice shows the contrary though; one can demonstrate the validity of the phenomenon in various areas, ranging from chaos theory and physics to economics and even ecology. In this lively treatise, based on Chaitin's groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Gel incompleteness phenomenon can directly bear on the practice of science and perhaps on our everyday life. \u003cp\u003e\u003c\/p\u003eThis accessible book gives a new, detailed and elementary explanation of the Gel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the historical report and personal stories about the main character and on this book's writing process, make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences.  \u003cp\u003eSee also: http: \/\/www.youtube.com\/watch?v=REy9noY5Sg8 \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Gregory Chaitin, Francisco A. Doria, Newton C. a. Da Costa\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0415690854\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780415690850\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/14\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 160\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.00w x 0.40d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 09\/01\/2012","brand":"Gregory Chaitin","offers":[{"title":"Paperback","offer_id":44056085463295,"sku":"9780415690850","price":62.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_a9d20815-0364-456c-866a-9dbaaf3653b7.jpg?v=1685039429","url":"https:\/\/www.whiterainbookhouse.com\/products\/goedels-way-gregory-chaitin-9780415690850","provider":"WR Book House","version":"1.0","type":"link"}