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Titlebook: David Hilbert‘s Lectures on the Foundations of Arithmetic and Logic 1917-1933; William Ewald,Wilfried Sieg Book 2013 Springer-Verlag Berli

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發(fā)表于 2025-3-21 19:02:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱David Hilbert‘s Lectures on the Foundations of Arithmetic and Logic 1917-1933
編輯William Ewald,Wilfried Sieg
視頻videohttp://file.papertrans.cn/264/263853/263853.mp4
圖書封面Titlebook: David Hilbert‘s Lectures on the Foundations of Arithmetic and Logic 1917-1933;  William Ewald,Wilfried Sieg Book 2013 Springer-Verlag Berli
描述.The core of Volume?3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s .Habilitationschrift. of 1918, the text of the first edition of Hilbert and Ackermann’s .Grundzüge dertheoretischen Logik. (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental .Grundlagen der Mathematik. (1934, 19
出版日期Book 2013
關(guān)鍵詞Hilbert; MSC (2000): 01A55, 01A60, 01A75, 03-03, 03F99, 03A05, 00A30; arithmetic; foundations; logic; pro
版次1
doihttps://doi.org/10.1007/978-3-540-69444-1
isbn_ebook978-3-540-69444-1
copyrightSpringer-Verlag Berlin Heidelberg 2013
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沙發(fā)
發(fā)表于 2025-3-21 22:34:04 | 只看該作者
COBE DMR: Testing the Initial Conditionsr and thus mathematically more interesting systems? The lectures of 1921/22 and 1922/23 give a resoundingly positive answer. However, the ‘extensions’ require a remarkable mathematical/logical and methodological breakthrough that leads to Hilbert’s proof theory and his finitist consistency programme.
板凳
發(fā)表于 2025-3-22 03:43:38 | 只看該作者
Book 2013thematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern ma
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Lectures on the Principles of Mathematics,of the set theory course, Hilbert had announced an enticing and enigmatic title: 1#x2018;Applications of Set Theory to Mathematical Logic1#x2019;. The lectures, however, did not reach the topic of logic proper, and give no hint of the approach Hilbert began exploring a few months later.
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Anthony Lasenby,Stephen HancockThe following set of lectures from the Winter Semester of 1924/25 (Hilbert 1924/25* ) has a different character from the other lecture notes published in this Volume. Hilbert’s logic lectures from the fall of 1917 to the spring of 1924, addressed to advanced students of mathematics, are a remarkable technical achievement.
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發(fā)表于 2025-3-23 07:38:56 | 只看該作者
Lectures on the Infinite,The following set of lectures from the Winter Semester of 1924/25 (Hilbert 1924/25* ) has a different character from the other lecture notes published in this Volume. Hilbert’s logic lectures from the fall of 1917 to the spring of 1924, addressed to advanced students of mathematics, are a remarkable technical achievement.
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