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Wittgenstein on Proof and Concept-Formation
The Philosophical Quarterly Pub Date : 2023-12-11 , DOI: 10.1093/pq/pqad111
Sorin Bangu 1
Affiliation  

In his Remarks on the Foundations of Mathematics, Wittgenstein claims, puzzlingly, that ‘the proof creates a new concept’ (RFM III-41). This paper aims to contribute to clarifying this idea, and to showing how it marks a major break with the traditional conception of proof. Moreover, since the most natural way to understand his claim is open to criticism, a secondary goal of what follows is to offer an interpretation of it that neutralizes the objection. The discussion proceeds by analysing a well-known geometrical proof.

中文翻译:

维特根斯坦论证明和概念形成

在他的《数学基础评论》中,维特根斯坦令人费解地声称“证明创造了一个新概念”(RFM III-41)。本文旨在有助于澄清这一想法,并展示它如何标志着与传统证明概念的重大突破。此外,由于理解他的主张的最自然方式会受到批评,因此接下来的第二个目标是提供一种解释,以消除反对意见。讨论通过分析一个众所周知的几何证明来进行。
更新日期:2023-12-11
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