{"product_id":"kurt-gdel-maria-hmeen-anttila-9783031378744","title":"Kurt Gel: Results on Foundations","description":"\u003cp\u003eKurt Gel (1906-1978) gained world-wide fame by his incompleteness theorem of 1931. Later, he set as his aim to solve what are known as Hilbert's first and second problems, namely Cantor's continuum hypothesis about the cardinality of real numbers, and secondly the consistency of the theory of real numbers and functions. By 1940, he was halfway through the first problem, in what was his last published result in logic and foundations. His intense attempts thereafter at solving these two problems have remained behind the veil of a forgotten German shorthand he used in all of his writing. \u003c\/p\u003e\u003cp\u003e\u003cem\u003eResults on Foundations\u003c\/em\u003e is a set of four shorthand notebooks written in 1940-42 that collect results Gel considered finished. Its main topic is set theory in which Gel anticipated several decades of development. Secondly, Gel completed his 1933 program of establishing the connections between intuitionistic and modal logic, by methods and results that today are at the same time new and 80 years old.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe present edition of Gel's four notebooks encompasses the 368 numbered pages and 126 numbered theorems of the \u003cem\u003eResults on Foundations, \u003c\/em\u003e together with a list of 74 problems on set theory Gel prepared in 1946, and a list of an unknown date titled \"The grand program of my research in ca. hundred questions.''\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Maria H舂een-Anttila\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3031378741\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031378744\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/18\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 319\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.41lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.75d","brand":"Maria H舂een-Anttila","offers":[{"title":"Hardcover","offer_id":44213053227263,"sku":"9783031378744","price":199.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_1a377a39-97f7-44f6-b92f-41eb93bcfac1.jpg?v=1692111796","url":"https:\/\/www.whiterainbookhouse.com\/products\/kurt-gdel-maria-hmeen-anttila-9783031378744","provider":"WR Book House","version":"1.0","type":"link"}