Kurt Gödel and the Foundations of Mathematics

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  • Kurt Gödel and the Foundations of Mathematics Book Detail

  • Author : Matthias Baaz
  • Release Date : 2011-06-06
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 541
  • ISBN 13 : 1139498436
  • File Size : 65,65 MB

Kurt Gödel and the Foundations of Mathematics by Matthias Baaz PDF Summary

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.

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"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

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"Anyone interested in the life and work of Kurt Gödel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this