{"product_id":"kurt-godel-and-the-foundations-of-mathematics-horizons-of-truth-hardback-9780521761444","title":"Kurt Gödel and the Foundations of Mathematics; Horizons of Truth (Hardback) 9780521761444","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eKurt Gödel and the Foundations of Mathematics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eHorizons of Truth\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMatthias Baaz (Edited by), Christos H. Papadimitriou (Edited by), Hilary W. Putnam (Edited by), Dana S. Scott (Edited by), Charles L. Harper, Jr (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521761444, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 June 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e540 pages, 22 b\/w illus.  1 table\u003cbr\u003e25.4 x 17.8 x 3 cm, 1.15 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This is a very useful volume that brings together aspects of Gödel's work that relates to logic and mathematics …' The Mathematical Intelligencer\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Historical Context - Gödel's Contributions and Accomplishments: 1. The impact of Gödel's incompleteness theorems on mathematics Angus Macintyre\u003cbr\u003e 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options Georg Kreisel\u003cbr\u003e 3. The reception of Gödel's 1931 incompletability theorems by mathematicians, and some logicians, to the early 1960s Ivor Grattan-Guinness\u003cbr\u003e 4. 'Dozent Gödel will not lecture' Karl Sigmund\u003cbr\u003e 5. Gödel's thesis: an appreciation Juliette C. Kennedy\u003cbr\u003e 6. Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity, and Hilbert's program Solomon Feferman\u003cbr\u003e 7. Computation and intractability: echoes of Kurt Gödel Christos H. Papadimitriou\u003cbr\u003e 8. From the entscheidungsproblem to the personal computer - and beyond B. Jack Copeland\u003cbr\u003e 9. Gödel, Einstein, Mach, Gamow, and Lanczos: Gödel's remarkable excursion into cosmology Wolfgang Rindler\u003cbr\u003e 10. Physical unknowables Karl Svozil\u003cbr\u003e Part II. A Wider Vision - the Interdisciplinary, Philosophical, and Theological Implications of Gödel's Work: 11. Gödel and physics John D. Barrow\u003cbr\u003e 12. Gödel, Thomas Aquinas, and the unknowability of God Denys A. Turner\u003cbr\u003e 13. Gödel's mathematics of philosophy Piergiorgio Odifreddi\u003cbr\u003e 14. Gödel's ontological proof and its variants Petr Hájek\u003cbr\u003e 15. The Gödel theorem and human nature Hilary Putnam\u003cbr\u003e 16. Gödel, the mind, and the laws of physics Roger Penrose\u003cbr\u003e Part III. New Frontiers - Beyond Gödel's Work in Mathematics and Symbolic Logic: 17. Gödel's functional interpretation and its use in current mathematics Ulrich Kohlenbach\u003cbr\u003e 18. My forty years on his shoulders Harvey M. Friedman\u003cbr\u003e 19. My interaction with Kurt Gödel: the man and his work Paul J. Cohen\u003cbr\u003e 20. The transfinite universe W. Hugh Woodin\u003cbr\u003e 21. The Gödel phenomena in mathematics: a modern view Avi Wigderson.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: 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], Philosophy: logic [\u003ca title=\"See our other books on Philosophy: logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy:%20logic%20%5BHPL%5D%22\"\u003eHPL\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":46004396228888,"sku":"9780521761444","price":102.57,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521761444i_7df01830-4215-4a23-918e-82a8b54dc428.jpg?v=1691380802","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/kurt-godel-and-the-foundations-of-mathematics-horizons-of-truth-hardback-9780521761444","provider":"Freshly Printed Books","version":"1.0","type":"link"}