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Kurt Goedel and the Foundations of Mathematics - Horizons of Truth (Paperback)
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Kurt Goedel and the Foundations of Mathematics - Horizons of Truth (Paperback)
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This volume commemorates the life, work and foundational views of
Kurt Goedel (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 Goedel
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
Goedel's fundamental work in mathematics, logic, philosophy and
other disciplines for future generations of researchers.
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