Kurt G Del And The Foundations Of Mathematics
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Kurt Gödel and the Foundations of Mathematics
Author: Matthias Baaz
language: en
Publisher: Cambridge University Press
Release Date: 2011-06-06
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.
Kurt Gödel: Collected Works: Volume III
Kurt Gödel was the greatest logician of this century. This third volume of his collected works consists of previously unpublished material, both essays and lectures.
Principia Mathematica
Author: Alfred North Whitehead
language: en
Publisher: Cambridge University Press
Release Date: 1927
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.