This volume commemorates the life, work and foundational views of Kurt GApdel (1906a78), 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 GApdel 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 GApdel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.Introduction to Automata Theory, Languages and Computation. ... Tarskia#39;s Logic, Semantics, Metamathematics, 2nd. edition (edited by J. Corcoran) (Indianapolis: Hackett, 1983) (1st edition edited and translated by J. H. Woodger, Oxford 1956).
|Title||:||Kurt Gödel and the Foundations of Mathematics|
|Author||:||Matthias Baaz, Christos H. Papadimitriou, Hilary W. Putnam, Dana S. Scott, Charles L. Harper, Jr|
|Publisher||:||Cambridge University Press - 2011-06-06|