书目名称 | Kurt Gödel: Results on Foundations |
编辑 | Maria Hämeen-Anttila,Jan von Plato |
视频video | http://file.papertrans.cn/542/541305/541305.mp4 |
概述 | Features a detailed description and explanation of Resultate Grundlagen.Includes a translation of Gödel‘s manuscripts from German Gabelsberger shorthand to English.Illustrates Gödel‘s attempts to solv |
丛书名称 | Sources and Studies in the History of Mathematics and Physical Sciences |
图书封面 |  |
描述 | .Kurt Gödel (1906-1978) gained world-wide fame by his incompleteness theorem of 1931. Later, he set as his aim to solve what are known as Hilbert‘s first and second problems, namely Cantor‘s continuum hypothesis about the cardinality of real numbers, and secondly the consistency of the theory of real numbers and functions. By 1940, he was halfway through the first problem, in what was his last published result in logic and foundations. His intense attempts thereafter at solving these two problems have remained behind the veil of a forgotten German shorthand he used in all of his writing. .Results on Foundations. is a set of four shorthand notebooks written in 1940-42 that collect results Gödel considered finished. Its main topic is set theory in which Gödelanticipated several decades of development. Secondly, Gödel completed his 1933 program of establishing the connections between intuitionistic and modal logic, by methods and results that today are at the same time new and 80 years old..The present edition of Gödel‘s four notebooks encompasses the 368 numbered pages and 126 numbered theorems of the .Results on Foundations,. together with a list of 74 problems on set theory Gödel p |
出版日期 | Book 2023 |
关键词 | Gödel Lectures; Gödel Notes; German Mathematicians; Hilbert‘s First and Second Problem; Gödel Incomplete |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-37875-1 |
isbn_softcover | 978-3-031-37877-5 |
isbn_ebook | 978-3-031-37875-1Series ISSN 2196-8810 Series E-ISSN 2196-8829 |
issn_series | 2196-8810 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |