04320cam 2200361 a 450000100090000000300060000900500170001500800410003201000170007302000180009004000180010804200080012605000220013408200210015608400230017710000190020024501110021926000540033030000360038450400510042050518870047152010300235860000190338865000230340765000290343065000340345985600840349390600450357794200120362295500930363499900150372795202160374216539765IIITD20170717145910.0101116s2011 nyua b 001 0 eng a 2010048055 a9780521761444 aDLCcDLCdDLC apcc00aQA9.65b.K87 201100a511.3222bBAA-K aMAT0180002bisacsh aBaaz, Matthias00aKurt Godel and the foundations of mathematics :bhorizons of truth cedited by Matthias Baaz ... [et al.]. aNew Delhi :bCambridge University Press,cÃ2011. axxiii, 515 p. :bill. ;c27 cm. aIncludes bibliographical references and index.8 aMachine generated contents note: Part I. Historical Context - Gèodel's Contributions and Accomplishments: 1. The impact of Gèodel's incompleteness theorems on mathematics Angus Macintyre; 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options Georg Kreisel; 3. The reception of Gèodel's 1931 incompletabilty theorems by mathematicians, and some logicians, to the early 1960s Ivor Grattan-Guinness; 4. 'Dozent Gèodel will not lecture' Karl Sigmund; 5. Gèodel's thesis: an appreciation Juliette C. Kennedy; 6. Lieber Herr Bernays!, Lieber Herr Gèodel! Gèodel on finitism, constructivity, and Hilbert's program Solomon Feferman; 7. Computation and intractability: echoes of Kurt Gèodel Christos H. Papadimitriou; 8. From the entscheidungsproblem to the personal computer - and beyond B. Jack Copeland; 9. Gèodel, Einstein, Mach, Gamow, and Lanczos: Gèodel's remarkable excursion into cosmology Wolfgang Rindler; 10. Physical unknowables Karl Svozil; Part II. A Wider Vision - The Interdisciplinary, Philosophical, And Theological Implications of Gèodel's Work: 11. Gèodel and physics John D. Barrow; 12. Gèodel, Thomas Aquinas, and the unknowability of God Denys A. Turner; 13. Gèodel's mathematics of philosophy Piergiorgio Odifreddi; 14. Gèodel's ontological proof and its variants Petr Hâajek; 15. The Gèodel theorem and human nature Hilary Putnam; 16. Gèodel, the mind, and the laws of physics Roger Penrose; Part III. New Frontiers - Beyond Gèodel's Work in Mathematics and Symbolic Logic: 17. Gèodel'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 Gèodel: the man and his work Paul J. Cohen; 20. The transfinite universe W. Hugh Woodin; 21. The Gèodel phenomena in mathematics: a modern view Avi Wigderson. a"This volume commemorates the life, work, and foundational views of Kurt Gèodel (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 Gèodel 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 Gèodel's fundamental work in mathematics, logic, philosophy, and other disciplines for future generations of researchers"--10aGèodel, Kurt. 0aGèodel's theorem. 0aMathematicsxPhilosophy. 7aMATHEMATICS / Logic2bisacsh.413Table of contents onlyuhttp://www.loc.gov/catdir/toc/fy12pdf01/2010048055.html a7bcbccorignewd1eecipf20gy-gencatlg 2ddccBK bxj10 2010-11-16cxj10 2010-11-16 ONIX to STMaxe09 2011-08-10 1 copy rec'd., to CIP ver. c8455d8455 00102ddc406511_300000000000000_BAAK708MATH911045aIIITbIIITcGENd2013-06-04g3991l1m2o511.3 BAA-Kp002659r2016-02-27s2013-06-25v$99w2013-06-04yBKeBAB-96364f2013-05-31j1371767296617xBook Adda