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Kurt Gödel and the Foundations of Mathematics : Horizons of Truth / edited by Matthias Baaz ...[et al]

Contributor(s): Material type: TextTextPublication details: London : Cambridge University, c2011.Description: 1 online resource (540 pages) : ill. ; 25 cmISBN:
  • 9780511974236 (ebook)
Other title:
  • Kurt Gödel & the Foundations of Mathematics
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 511.3 22 KUR
LOC classification:
  • QA9.65 .K87 2011
Summary: This 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.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Books Books Library, Institute of Information and Communication Technology General Stacks 511.3 KUR (Browse shelf(Opens below)) 1 Available I001542
Books Books Library, Institute of Information and Communication Technology General Stacks 511.3 KUR (Browse shelf(Opens below)) 2 Available I001541
Books Books Library, Institute of Information and Communication Technology General Stacks 511.3 KUR (Browse shelf(Opens below)) 3 Available I001540

Includes bibliographical references and index.

This 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.

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