"什么线不能用尺子量？数学与美学中的谜语与概念形成

Q2 Arts and Humanities

Nordic Wittgenstein Review Pub Date : 2024-04-14 DOI:10.15845/nwr.v13.3691

Samuel Wheeler, William Brenner

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引用次数: 0

摘要

我们分析了两个数学问题--第一个问题（如标题所述）摘自维特根斯坦的《数学家的哲学》；第二个问题（"哪一组数是不可数的？"）摘自康托尔。然后，我们通过比较的方式，考虑了一个音乐美学问题，涉及勃拉姆斯对海顿主题的变奏。我们的目的是揭示和阐明这些问题本质上的谜语性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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“What Line Can’t Be Measured With a Ruler?”: Riddles and Concept-Formation in Mathematics and Aesthetics

We analyze two problems in mathematics – the first (stated in our title) is extracted from Wittgenstein’s “Philosophy for Mathematicians”; the second (“What set of numbers is non-denumerable?”) is taken from Cantor. We then consider, by way of comparison, a problem in musical aesthetics concerning a Brahms variation on a theme by Haydn. Our aim is to bring out and elucidate the essentially riddle-like character of these problems.

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来源期刊

Nordic Wittgenstein Review Arts and Humanities-Philosophy

CiteScore

0.40

自引率

0.00%

发文量

审稿时长

40 weeks