Kurt Gödel and the foundations of mathematics : horizons of truth
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Kurt Gödel and the foundations of mathematics : horizons of truth
Cambridge University Press, 2011
- : hbk
Available at / 17 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkBAA||9||1200021321798
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Other editors: Christos H. Papadimitriou, Hilary W. Putnam, Dana S. Scott, Charles L. Harper, Jr
Summary: "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
Includes bibliographical references and index