| 書目名稱 | Kurt G?del: Results on Foundations |
| 編輯 | Maria H?meen-Anttila,Jan von Plato |
| 視頻video | http://file.papertrans.cn/542/541305/541305.mp4 |
| 概述 | Features a detailed description and explanation of Resultate Grundlagen.Includes a translation of G?del‘s manuscripts from German Gabelsberger shorthand to English.Illustrates G?del‘s attempts to solv |
| 叢書名稱 | Sources and Studies in the History of Mathematics and Physical Sciences |
| 圖書封面 |  |
| 描述 | .Kurt G?del (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 G?del considered finished. Its main topic is set theory in which G?delanticipated several decades of development. Secondly, G?del 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 G?del‘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 G?del p |
| 出版日期 | Book 2023 |
| 關鍵詞 | G?del Lectures; G?del Notes; German Mathematicians; Hilbert‘s First and Second Problem; G?del 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 |
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