维特根斯坦在康托尔的天堂

IF 0.4 4区哲学 0 PHILOSOPHY

PHILOSOPHICAL INVESTIGATIONS Pub Date : 2024-08-22 DOI:10.1111/phin.12436

Karim Zahidi

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引用次数: 0

摘要

本文对维特根斯坦对康托尔集合论的批判进行了评估，说明了他对数学更广泛的哲学立场。维特根斯坦强调数学理论的建构性质，鼓励对数学采取反思的方法，承认人类在数学发展中的作用。他对康托尔集合论的研究为数学的哲学和实践层面提供了宝贵的见解，敦促人们重新思考数学的基础和数学证明的本质。这一视角与数学实践哲学密切吻合，后者通过关注数学实践来强调数学中人的一面。

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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Wittgenstein in Cantor's paradise

This paper offers an evaluation of Wittgenstein's critique of Cantorian set theory, illustrating his broader philosophical stance on mathematics. By emphasizing the constructed nature of mathematical theories, Wittgenstein encourages a reflective approach to mathematics that acknowledges human agency in its development. His engagement with Cantorian set theory provides valuable insights into the philosophical and practical dimensions of mathematics, urging a reconsideration of its foundations and the nature of mathematical proofs. This perspective aligns closely with the philosophy of mathematical practice, which emphasizes the human side of mathematics by its focus on mathematical practice.

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来源期刊

PHILOSOPHICAL INVESTIGATIONS PHILOSOPHY-

CiteScore

0.70

自引率

66.70%

发文量

审稿时长

45 weeks

期刊介绍： Philosophical Investigations features articles in every branch of philosophy. Whether focusing on traditional or on new aspects of the subject, it offers thought-provoking articles and maintains a lively readership with an acclaimed discussion section and wide-ranging book reviews. Special issues are published on topics of current philosophical interest.