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  3. Kurt Gödel and the Foundations of Mathematics
  • Cited by 4
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2011
      June 2011
      ISBN:
      9780511974236
      9780521761444
      9781107677999
      DOI:
      https://doi.org/10.1017/CBO9780511974236
      Dimensions:
      (253 x 215 mm)
      Weight & Pages:
      1.15kg, 540 Pages
      Dimensions:
      (254 x 178 mm)
      Weight & Pages:
      0.93kg, 540 Pages
      • Subjects:
      Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy
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    Subjects:
    Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy
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    Book 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.

    Reviews

    'This is a very useful volume that brings together aspects of Gödel's work that relates to logic and mathematics …'

    Source: The Mathematical Intelligencer

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