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Kurt Gödel and the Foundations of Mathematics : Horizons of Truth

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Title: Kurt Gödel and the Foundations of Mathematics : Horizons of Truth
Description: 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.
Authors: Matthias Baaz, Christos H. Papadimitriou, Hilary W. Putnam, Dana S. Scott, Charles L. Harper, Jr
Resource Type: eBook.
Subjects: Mathematics--Philosophy, Go¨del's theorem
Categories: MATHEMATICS / Infinity, MATHEMATICS / Logic
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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An: 366145
RelevancyScore: 1038
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PubType: eBook
PubTypeId: ebook
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  Data: 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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      – Code: 511.3
        Scheme: ddc
        Type: prePub
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      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Mathematics--Philosophy
        Type: general
      – SubjectFull: Go¨del's theorem
        Type: general
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      – TitleFull: Kurt Gödel and the Foundations of Mathematics : Horizons of Truth
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2011
            – D: 04
              M: 02
              Type: profile
              Y: 2014
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            – Type: isbn-print
              Value: 9780521761444
            – Type: isbn-electronic
              Value: 9781139077378
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