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首页> 外文期刊>Historia Mathematica: International Journal of History of Mathematics >On A.Ya. Khinchin's paper 'Ideas of intuitionism and the struggle for a subject matter in contemporary mathematics' (1926): A translation with introduction and commentary
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On A.Ya. Khinchin's paper 'Ideas of intuitionism and the struggle for a subject matter in contemporary mathematics' (1926): A translation with introduction and commentary

机译：在A.Ya。钦钦（Khinchin）的论文“直觉主义思想与当代数学中的主题斗争”（1926年）：引言和评论的翻译

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摘要

The translation into English of Aleksandr Yakovlevich Khinchin's (1894-1959) 1926 paper entitled 'Ideas of intuitionism and the struggle for a subject matter in contemporary mathematics' is made available for the first time. Here, Khinchin presented the famous foundational debate between L.E.J. Brouwer and David Hilbert of the 1920s in terms of a search for a mathematics with content. His main aim seems to have been to make intuitionism ideologically acceptable to his audience at the Communist Academy by means of the claim that insofar as Brouwer's intuitionism had a clear 'subject matter' and Hilbert's new program was a concession to intuitionism, the alleged victory of intuitionism not only implied the defeat of 'empty' formalism, but also showed the compatibility and affinity of Marxism with the newest developments in modern mathematics. This introduction provides a tentative exploration of the issue of what was tactical (or due to ideological pressure) and what was real scientific interest (or due to ignorance) (or what was both) in Khinchin's 1926 paper in the form of a detailed commentary, especially, on the tactical side of his presentation of the positions of Brouwer and Hilbert. (C) 2016 Elsevier Inc. All rights reserved.
机译：亚历山大·雅科夫列维奇·钦钦（Aleksandr Yakovlevich Khinchin）（1894-1959）1926年题为“直觉主义思想和当代数学主题的斗争”的论文首次翻译成英语。在这里，Khinchin提出了L.E.J.在寻找具有内容的数学方面，Brouwer和David Hilbert都是1920年代的人。他的主要目的似乎是通过宣称布劳维尔的直觉主义具有明确的“主体”而希尔伯特的新计划是对直觉主义的让步，声称直觉主义在意识形态上在共产主义学院的听众中是可以接受的。直觉主义不仅暗示了“空”形式主义的失败，而且表明了马克思主义与现代数学的最新发展的相容性和亲和力。本简介以详细评论的形式，初步探讨了钦钦（Khinchin）在1926年发表的论文中，什么是战术上的（或由于意识形态压力）和什么是真正的科学兴趣（或由于无知）（或两者兼而有之），特别是在他介绍Brouwer和Hilbert职位的战术方面。 （C）2016 Elsevier Inc.保留所有权利。

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