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Kurt Gödel and the foundations of mathematics : horizons of truth /

"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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Baaz, Matthias (Editor ), Papadimitriou, Christos H. (Editor ), Putnam, Hilary W. (Editor ), Scott, Dana S. (Editor ), Harper Jr., Charles L. (ditor.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2011.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"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"--
Descripción Física:1 online resource (xxiii, 515 pages) : illustrations
Bibliografía:Includes bibliographical references and index.
ISBN:9781139077378
1139077376
9781139079655
1139079654
9780511974236
051197423X