{"product_id":"set-theory-arithmetic-and-foundations-of-mathematics-theorems-philosophies-hardback-9781107008045","title":"Set Theory, Arithmetic, and Foundations of Mathematics; Theorems, Philosophies (Hardback) 9781107008045","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSet Theory, Arithmetic, and Foundations of Mathematics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eTheorems, Philosophies\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA collection of remarkable papers from various areas of mathematical logic, written by outstanding members of the field.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJuliette Kennedy (Edited by), Roman Kossak (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107008045, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 1 September 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e242 pages, 1 b\/w illus.\u003cbr\u003e23.5 x 15.5 x 1.5 cm, 0.48 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foundational questions about the nature of mathematics. Highlights of the volume include: a history of Tennenbaum's theorem in arithmetic; a number of papers on Tennenbaum phenomena in weak arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972–1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse view; Anne Troelstra's history of intuitionism through 1991; and Aki Kanamori's history of the Suslin problem in set theory. The book provides a historical and philosophical treatment of particular theorems in arithmetic and set theory, and is ideal for researchers and graduate students in mathematical logic and philosophy of mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction Juliette Kennedy and Roman Kossak\u003cbr\u003e 2. Historical remarks on Suslin's problem Akihiro Kanamori\u003cbr\u003e 3. The continuum hypothesis, the generic-multiverse of sets, and the ? conjecture W. Hugh Woodin\u003cbr\u003e 4. ?-Models of finite set theory Ali Enayat, James H. Schmerl and Albert Visser\u003cbr\u003e 5. Tennenbaum's theorem for models of arithmetic Richard Kaye\u003cbr\u003e 6. Hierarchies of subsystems of weak arithmetic Shahram Mohsenipour\u003cbr\u003e 7. Diophantine correct open induction Sidney Raffer\u003cbr\u003e 8. Tennenbaum's theorem and recursive reducts James H. Schmerl\u003cbr\u003e 9. History of constructivism in the 20th century A. S. Troelstra\u003cbr\u003e 10. A very short history of ultrafinitism Rose M. Cherubin and Mirco A. Mannucci\u003cbr\u003e 11. Sue Toledo's notes of her conversations with Gödel in 1972–1975 Sue Toledo\u003cbr\u003e 12. Stanley Tennenbaum's Socrates Curtis Franks\u003cbr\u003e 13. Tennenbaum's proof of the irrationality of ?2.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Set theory [\u003ca title=\"See our other books on Set theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Set%20theory%20%5BPBCH%5D%22\"\u003ePBCH\u003c\/a\u003e], Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e], Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e], Philosophy of mathematics [\u003ca title=\"See our other books on Philosophy of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20mathematics%20%5BPBB%5D%22\"\u003ePBB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265455477016,"sku":"9781107008045","price":96.79,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107008045i.jpg?v=1692023040","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/set-theory-arithmetic-and-foundations-of-mathematics-theorems-philosophies-hardback-9781107008045","provider":"Freshly Printed Books","version":"1.0","type":"link"}