000			04093cam a2200349 a 4500
999			_c12269 _d12269
001			16539765
003			OSt
005			20220328170737.0
008			101116s2011 nyua b 001 0 eng
010			_a 2010048055
020			_a9780521761444 (hardback)
040			_aDLC _cDLC _dDLC
042			_apcc
050	0	0	_aQA9.65 _b.K87 2011
082	0	0	_a511.3 _222
084			_aMAT018000 _2bisacsh
245	0	0	_aKurt Gödel and the foundations of mathematics : _bhorizons of truth / _cedited by Matthias Baaz ... [et al.].
260			_aNew York : _bCambridge University Press, _c2011.
300			_axxiii, 515 p. : _bill. ; _c27 cm.
504			_aIncludes bibliographical references and index.
505	8		_aMachine generated contents note: Part I. Historical Context - Gödel's Contributions and Accomplishments: 1. The impact of Gödel's incompleteness theorems on mathematics Angus Macintyre; 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options Georg Kreisel; 3. The reception of Gödel's 1931 incompletabilty theorems by mathematicians, and some logicians, to the early 1960s Ivor Grattan-Guinness; 4. 'Dozent Gödel will not lecture' Karl Sigmund; 5. Gödel's thesis: an appreciation Juliette C. Kennedy; 6. Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity, and Hilbert's program Solomon Feferman; 7. Computation and intractability: echoes of Kurt Gödel Christos H. Papadimitriou; 8. From the entscheidungsproblem to the personal computer - and beyond B. Jack Copeland; 9. Gödel, Einstein, Mach, Gamow, and Lanczos: Gödel's remarkable excursion into cosmology Wolfgang Rindler; 10. Physical unknowables Karl Svozil; Part II. A Wider Vision - The Interdisciplinary, Philosophical, And Theological Implications of Gödel's Work: 11. Gödel and physics John D. Barrow; 12. Gödel, Thomas Aquinas, and the unknowability of God Denys A. Turner; 13. Gödel's mathematics of philosophy Piergiorgio Odifreddi; 14. Gödel's ontological proof and its variants Petr Hájek; 15. The Gödel theorem and human nature Hilary Putnam; 16. Gödel, the mind, and the laws of physics Roger Penrose; 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; 18. My forty years on his shoulders Harvey M. Friedman; 19. My interaction with Kurt Gödel: the man and his work Paul J. Cohen; 20. The transfinite universe W. Hugh Woodin; 21. The Gödel phenomena in mathematics: a modern view Avi Wigderson.
520			_a"This volume commemorates the life, work, and foundational views of Kurt Gödel (1906-1978), 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"-- _cProvided by publisher.
600	1	0	_aGödel, Kurt.
650		0	_aGödel's theorem.
650		0	_aMathematics _xPhilosophy.
650		7	_aMATHEMATICS / Logic _2bisacsh.
700	1		_aBaaz, Matthias.
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/toc/fy12pdf01/2010048055.html
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2nlm _cBK