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Kurt Gödel and the Foundations of Mathematics

Horizons of Truth

Charles L Harper, Jr editor Matthias Baaz editor Christos H Papadimitriou editor Hilary W Putnam editor Dana S Scott editor

Format:Paperback

Publisher:Cambridge University Press

Published:27th Mar '14

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Kurt Gödel and the Foundations of Mathematics cover

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work on current research and its future implications 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.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.

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

ISBN: 9781107677999

Dimensions: 254mm x 178mm x 28mm

Weight: 930g

540 pages