Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century, noted for Godel's theorem, a hallmark of modern mathematics. The Collected Works will include both published and unpublished writings, in three or more volumes. The first two volumes will consist essentially of Godel's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, and selections from his lecture courses, correspondence, and scientific notebooks. All volumes will contain extensive introductory notes to the work as a whole and to...

Kurt Godel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past.
This second volume of a...

Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory and stronger systems, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, the foundations of computation theory, unusual cosmological models, and for the strong individuality of his writings on the philosophy of mathematics. The Collected Works is a landmark resource that draws together a lifetime of creative...

In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy...

Kurt Godel was one of the most outstanding logicians of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory, permitting time travel into the past. The book is...

Kurt Godel was one of the most outstanding logicians of the 20th century and a giant in the field. This book is part of a five volume set that makes available all of Godel's writings. The first three volumes, already published consists of the papers and essays of Godel. The final two volumes of the set deal with Godel's correspondence with his contemporary mathematicians, this fifth volume consists of material from correspondents from H-Z.

Grigori Mints is one the most distinguished proof theorists of our time. He has contributed significantly not only to the subject in general but also to most of its applications. This collection of papers by a number of Mints' colleagues worldwide are both a personal tribute and a testimony to his breadth and importance by dealing with all areas in which Mints has worked: from proof-theoretical reductions through non-classical logics and category theory to automated theorem proving and proof mining, i.e., the extraction of mathematical information from formal proofs. The collection itself is...

Kurt Godel (1906 1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Godel s centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Godel s writings are among the topics covered. Several chapters discuss his intellectual development...

Kurt Godel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the...

Kurt Godel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the...