Collected Works - Godel, Kurt

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Résumé :
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 comprehensive edition of Godel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks. Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century....

Biographie:
The consistency of the axiom of choice and of the generalized continuum hypothesis...

Sommaire:
The Editor-in-Chief
>The Editors
John W. Dawson, Jr., is Professor of Mathematics at Pennsylvania State University, York.
Steven C. Kleene is Emeritus Dean of Letters and Science, and Emeritus Professor of Mathematics and Computer Science at the University of Wisconsin, Madison.
Gregory H. Moore is Associate Professor of Mathematics at McMaster University, Hamilton, Ontario, Canada.
Robert M. Solovay is Professor of Mathematics at the University of California, Berkeley.
The late Jean van Heijenoort was Emeritus Professor of Philosophy at Brandeis University until his death in 1986....