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Titlebook: Kurt G?del: Results on Foundations; Maria H?meen-Anttila,Jan von Plato Book 2023 The Editor(s) (if applicable) and The Author(s), under ex

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發(fā)表于 2025-3-21 18:55:56 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Kurt G?del: Results on Foundations
編輯Maria H?meen-Anttila,Jan von Plato
視頻videohttp://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Titlebook: Kurt G?del: Results on Foundations;  Maria H?meen-Anttila,Jan von Plato Book 2023 The Editor(s) (if applicable) and The Author(s), under ex
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(guān)鍵詞G?del Lectures; G?del Notes; German Mathematicians; Hilbert‘s First and Second Problem; G?del Incomplete
版次1
doihttps://doi.org/10.1007/978-3-031-37875-1
isbn_softcover978-3-031-37877-5
isbn_ebook978-3-031-37875-1Series ISSN 2196-8810 Series E-ISSN 2196-8829
issn_series 2196-8810
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Kurt G?del: Results on Foundations978-3-031-37875-1Series ISSN 2196-8810 Series E-ISSN 2196-8829
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Book 2023rst 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 intens
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