Kurt Godel and the Foundations of Mathematics: Horizons Of Truth - Softcover

Baaz, Matthias

Softcover

ISBN 10: 1107677998 ISBN 13: 9781107677999

Publisher: Cambridge University Press, 2014

Synopsis

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.

About this title

Review:

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

Book Description:

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2014
• ISBN 10: 1107677998
• ISBN 13: 9781107677999
• Binding: Paperback
• Number of pages: 540