
Kurt Gödel 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 Gödel'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 Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks.Collected Works is designed to be accessible and useful to as wide an audience as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.
This volume investigates the evolution of Kurt Gödel's mathematical and logical contributions during the middle decades of the twentieth century. The text compiles Gödel's published papers from 1938 to 1974, providing a comprehensive record of his work on number theory, the decision problem, and cosmological models. By including extensive introductory notes and historical commentary, the editors contextualize Gödel's rigorous proofs and philosophical inquiries for both professional mathematicians and historians of science.
What You Will Find
Experts recognize this collection as the definitive source for studying Gödel's later career and his influence on modern logic. Readers frequently note the high level of technical density, which requires a strong background in mathematics or philosophy to fully appreciate the arguments presented.
Page Count:
432
Publication Date:
2001-06-21
Publisher:
Oxford University Press
ISBN-10:
0195147219
ISBN-13:
9780195147216
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